---
_id: '8089'
abstract:
- lang: eng
  text: "We consider the classical problem of invariant generation for programs with
    polynomial assignments and focus on synthesizing invariants that are a conjunction
    of strict polynomial inequalities. We present a sound and semi-complete method
    based on positivstellensaetze, i.e. theorems in semi-algebraic geometry that characterize
    positive polynomials over a semi-algebraic set.\r\n\r\nOn the theoretical side,
    the worst-case complexity of our approach is subexponential, whereas the worst-case
    complexity of the previous complete method (Kapur, ACA 2004) is doubly-exponential.
    Even when restricted to linear invariants, the best previous complexity for complete
    invariant generation is exponential (Colon et al, CAV 2003). On the practical
    side, we reduce the invariant generation problem to quadratic programming (QCLP),
    which is a classical optimization problem with many industrial solvers. We demonstrate
    the applicability of our approach by providing experimental results on several
    academic benchmarks. To the best of our knowledge, the only previous invariant
    generation method that provides completeness guarantees for invariants consisting
    of polynomial inequalities is (Kapur, ACA 2004), which relies on quantifier elimination
    and cannot even handle toy programs such as our running example."
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Hongfei
  full_name: Fu, Hongfei
  id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
  last_name: Fu
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Ehsan Kafshdar
  full_name: Goharshady, Ehsan Kafshdar
  last_name: Goharshady
citation:
  ama: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. Polynomial invariant generation
    for non-deterministic recursive programs. In: <i>Proceedings of the 41st ACM SIGPLAN
    Conference on Programming Language Design and Implementation</i>. Association
    for Computing Machinery; 2020:672-687. doi:<a href="https://doi.org/10.1145/3385412.3385969">10.1145/3385412.3385969</a>'
  apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., &#38; Goharshady, E. K. (2020).
    Polynomial invariant generation for non-deterministic recursive programs. In <i>Proceedings
    of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation</i>
    (pp. 672–687). London, United Kingdom: Association for Computing Machinery. <a
    href="https://doi.org/10.1145/3385412.3385969">https://doi.org/10.1145/3385412.3385969</a>'
  chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Ehsan
    Kafshdar Goharshady. “Polynomial Invariant Generation for Non-Deterministic Recursive
    Programs.” In <i>Proceedings of the 41st ACM SIGPLAN Conference on Programming
    Language Design and Implementation</i>, 672–87. Association for Computing Machinery,
    2020. <a href="https://doi.org/10.1145/3385412.3385969">https://doi.org/10.1145/3385412.3385969</a>.
  ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and E. K. Goharshady, “Polynomial
    invariant generation for non-deterministic recursive programs,” in <i>Proceedings
    of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation</i>,
    London, United Kingdom, 2020, pp. 672–687.
  ista: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. 2020. Polynomial invariant
    generation for non-deterministic recursive programs. Proceedings of the 41st ACM
    SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Programming
    Language Design and Implementation, 672–687.'
  mla: Chatterjee, Krishnendu, et al. “Polynomial Invariant Generation for Non-Deterministic
    Recursive Programs.” <i>Proceedings of the 41st ACM SIGPLAN Conference on Programming
    Language Design and Implementation</i>, Association for Computing Machinery, 2020,
    pp. 672–87, doi:<a href="https://doi.org/10.1145/3385412.3385969">10.1145/3385412.3385969</a>.
  short: K. Chatterjee, H. Fu, A.K. Goharshady, E.K. Goharshady, in:, Proceedings
    of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation,
    Association for Computing Machinery, 2020, pp. 672–687.
conference:
  end_date: 2020-06-20
  location: London, United Kingdom
  name: 'PLDI: Programming Language Design and Implementation'
  start_date: 2020-06-15
date_created: 2020-07-05T22:00:45Z
date_published: 2020-06-11T00:00:00Z
date_updated: 2025-06-02T08:53:42Z
day: '11'
department:
- _id: KrCh
doi: 10.1145/3385412.3385969
external_id:
  arxiv:
  - '1902.04373'
  isi:
  - '000614622300045'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1902.04373
month: '06'
oa: 1
oa_version: Preprint
page: 672-687
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language
  Design and Implementation
publication_identifier:
  isbn:
  - '9781450376136'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Polynomial invariant generation for non-deterministic recursive programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '8193'
abstract:
- lang: eng
  text: 'Multiple-environment Markov decision processes (MEMDPs) are MDPs equipped
    with not one, but multiple probabilistic transition functions, which represent
    the various possible unknown environments. While the previous research on MEMDPs
    focused on theoretical properties for long-run average payoff, we study them with
    discounted-sum payoff and focus on their practical advantages and applications.
    MEMDPs can be viewed as a special case of Partially observable and Mixed observability
    MDPs: the state of the system is perfectly observable, but not the environment.
    We show that the specific structure of MEMDPs allows for more efficient algorithmic
    analysis, in particular for faster belief updates. We demonstrate the applicability
    of MEMDPs in several domains. In particular, we formalize the sequential decision-making
    approach to contextual recommendation systems as MEMDPs and substantially improve
    over the previous MDP approach.'
acknowledgement: Krishnendu Chatterjee is supported by the Austrian ScienceFund (FWF)
  NFN Grant No. S11407-N23 (RiSE/SHiNE),and COST Action GAMENET. Petr Novotn ́y is
  supported bythe Czech Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Deep
  full_name: Karkhanis, Deep
  last_name: Karkhanis
- first_name: Petr
  full_name: Novotný, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotný
- first_name: Amélie
  full_name: Royer, Amélie
  id: 3811D890-F248-11E8-B48F-1D18A9856A87
  last_name: Royer
  orcid: 0000-0002-8407-0705
citation:
  ama: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. Multiple-environment
    Markov decision processes: Efficient analysis and applications. In: <i>Proceedings
    of the 30th International Conference on Automated Planning and Scheduling</i>.
    Vol 30. Association for the Advancement of Artificial Intelligence; 2020:48-56.'
  apa: 'Chatterjee, K., Chmelik, M., Karkhanis, D., Novotný, P., &#38; Royer, A. (2020).
    Multiple-environment Markov decision processes: Efficient analysis and applications.
    In <i>Proceedings of the 30th International Conference on Automated Planning and
    Scheduling</i> (Vol. 30, pp. 48–56). Nancy, France: Association for the Advancement
    of Artificial Intelligence.'
  chicago: 'Chatterjee, Krishnendu, Martin Chmelik, Deep Karkhanis, Petr Novotný,
    and Amélie Royer. “Multiple-Environment Markov Decision Processes: Efficient Analysis
    and Applications.” In <i>Proceedings of the 30th International Conference on Automated
    Planning and Scheduling</i>, 30:48–56. Association for the Advancement of Artificial
    Intelligence, 2020.'
  ieee: 'K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, and A. Royer, “Multiple-environment
    Markov decision processes: Efficient analysis and applications,” in <i>Proceedings
    of the 30th International Conference on Automated Planning and Scheduling</i>,
    Nancy, France, 2020, vol. 30, pp. 48–56.'
  ista: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. 2020. Multiple-environment
    Markov decision processes: Efficient analysis and applications. Proceedings of
    the 30th International Conference on Automated Planning and Scheduling. ICAPS:
    International Conference on Automated Planning and Scheduling vol. 30, 48–56.'
  mla: 'Chatterjee, Krishnendu, et al. “Multiple-Environment Markov Decision Processes:
    Efficient Analysis and Applications.” <i>Proceedings of the 30th International
    Conference on Automated Planning and Scheduling</i>, vol. 30, Association for
    the Advancement of Artificial Intelligence, 2020, pp. 48–56.'
  short: K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, A. Royer, in:, Proceedings
    of the 30th International Conference on Automated Planning and Scheduling, Association
    for the Advancement of Artificial Intelligence, 2020, pp. 48–56.
conference:
  end_date: 2020-10-30
  location: Nancy, France
  name: 'ICAPS: International Conference on Automated Planning and Scheduling'
  start_date: 2020-10-26
date_created: 2020-08-02T22:00:58Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-09-07T13:16:18Z
day: '01'
department:
- _id: KrCh
intvolume: '        30'
language:
- iso: eng
month: '06'
oa_version: None
page: 48-56
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the 30th International Conference on Automated Planning
  and Scheduling
publication_identifier:
  eissn:
  - '23340843'
  issn:
  - '23340835'
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
related_material:
  record:
  - id: '8390'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Multiple-environment Markov decision processes: Efficient analysis and applications'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 30
year: '2020'
...
---
_id: '8272'
abstract:
- lang: eng
  text: We study turn-based stochastic zero-sum games with lexicographic preferences
    over reachability and safety objectives. Stochastic games are standard models
    in control, verification, and synthesis of stochastic reactive systems that exhibit
    both randomness as well as angelic and demonic non-determinism. Lexicographic
    order allows to consider multiple objectives with a strict preference order over
    the satisfaction of the objectives. To the best of our knowledge, stochastic games
    with lexicographic objectives have not been studied before. We establish determinacy
    of such games and present strategy and computational complexity results. For strategy
    complexity, we show that lexicographically optimal strategies exist that are deterministic
    and memory is only required to remember the already satisfied and violated objectives.
    For a constant number of objectives, we show that the relevant decision problem
    is in   NP∩coNP , matching the current known bound for single objectives; and
    in general the decision problem is   PSPACE -hard and can be solved in   NEXPTIME∩coNEXPTIME
    . We present an algorithm that computes the lexicographically optimal strategies
    via a reduction to computation of optimal strategies in a sequence of single-objectives
    games. We have implemented our algorithm and report experimental results on various
    case studies.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Joost P
  full_name: Katoen, Joost P
  id: 4524F760-F248-11E8-B48F-1D18A9856A87
  last_name: Katoen
- first_name: Maximilian
  full_name: Weininger, Maximilian
  last_name: Weininger
- first_name: Tobias
  full_name: Winkler, Tobias
  last_name: Winkler
citation:
  ama: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. Stochastic games with lexicographic
    reachability-safety objectives. In: <i>International Conference on Computer Aided
    Verification</i>. Vol 12225. Springer Nature; 2020:398-420. doi:<a href="https://doi.org/10.1007/978-3-030-53291-8_21">10.1007/978-3-030-53291-8_21</a>'
  apa: Chatterjee, K., Katoen, J. P., Weininger, M., &#38; Winkler, T. (2020). Stochastic
    games with lexicographic reachability-safety objectives. In <i>International Conference
    on Computer Aided Verification</i> (Vol. 12225, pp. 398–420). Springer Nature.
    <a href="https://doi.org/10.1007/978-3-030-53291-8_21">https://doi.org/10.1007/978-3-030-53291-8_21</a>
  chicago: Chatterjee, Krishnendu, Joost P Katoen, Maximilian Weininger, and Tobias
    Winkler. “Stochastic Games with Lexicographic Reachability-Safety Objectives.”
    In <i>International Conference on Computer Aided Verification</i>, 12225:398–420.
    Springer Nature, 2020. <a href="https://doi.org/10.1007/978-3-030-53291-8_21">https://doi.org/10.1007/978-3-030-53291-8_21</a>.
  ieee: K. Chatterjee, J. P. Katoen, M. Weininger, and T. Winkler, “Stochastic games
    with lexicographic reachability-safety objectives,” in <i>International Conference
    on Computer Aided Verification</i>, 2020, vol. 12225, pp. 398–420.
  ista: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. 2020. Stochastic games with
    lexicographic reachability-safety objectives. International Conference on Computer
    Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 12225, 398–420.'
  mla: Chatterjee, Krishnendu, et al. “Stochastic Games with Lexicographic Reachability-Safety
    Objectives.” <i>International Conference on Computer Aided Verification</i>, vol.
    12225, Springer Nature, 2020, pp. 398–420, doi:<a href="https://doi.org/10.1007/978-3-030-53291-8_21">10.1007/978-3-030-53291-8_21</a>.
  short: K. Chatterjee, J.P. Katoen, M. Weininger, T. Winkler, in:, International
    Conference on Computer Aided Verification, Springer Nature, 2020, pp. 398–420.
conference:
  name: 'CAV: Computer Aided Verification'
date_created: 2020-08-16T22:00:58Z
date_published: 2020-07-14T00:00:00Z
date_updated: 2025-07-14T09:10:14Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-53291-8_21
ec_funded: 1
external_id:
  arxiv:
  - '2005.04018'
  isi:
  - '000695272500021'
file:
- access_level: open_access
  checksum: 093d4788d7d5b2ce0ffe64fbe7820043
  content_type: application/pdf
  creator: dernst
  date_created: 2020-08-17T11:32:44Z
  date_updated: 2020-08-17T11:32:44Z
  file_id: '8276'
  file_name: 2020_LNCS_CAV_Chatterjee.pdf
  file_size: 625056
  relation: main_file
  success: 1
file_date_updated: 2020-08-17T11:32:44Z
has_accepted_license: '1'
intvolume: '     12225'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 398-420
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: International Conference on Computer Aided Verification
publication_identifier:
  eissn:
  - '16113349'
  isbn:
  - '9783030532901'
  issn:
  - '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '12738'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Stochastic games with lexicographic reachability-safety objectives
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12225
year: '2020'
...
---
_id: '8324'
abstract:
- lang: eng
  text: The notion of program sensitivity (aka Lipschitz continuity) specifies that
    changes in the program input result in proportional changes to the program output.
    For probabilistic programs the notion is naturally extended to expected sensitivity.
    A previous approach develops a relational program logic framework for proving
    expected sensitivity of probabilistic while loops, where the number of iterations
    is fixed and bounded. In this work, we consider probabilistic while loops where
    the number of iterations is not fixed, but randomized and depends on the initial
    input values. We present a sound approach for proving expected sensitivity of
    such programs. Our sound approach is martingale-based and can be automated through
    existing martingale-synthesis algorithms. Furthermore, our approach is compositional
    for sequential composition of while loops under a mild side condition. We demonstrate
    the effectiveness of our approach on several classical examples from Gambler's
    Ruin, stochastic hybrid systems and stochastic gradient descent. We also present
    experimental results showing that our automated approach can handle various probabilistic
    programs in the literature.
acknowledgement: We thank anonymous reviewers for helpful comments, especially for
  pointing to us a scenario of piecewise-linear approximation (Remark5). The research
  was partially supported by the National Natural Science Foundation of China (NSFC)
  under Grant No. 61802254, 61672229, 61832015,61772336,11871221 and Austrian Science
  Fund (FWF) NFN under Grant No. S11407-N23 (RiSE/SHiNE). We thank Prof. Yuxi Fu,
  director of the BASICS Lab at Shanghai Jiao Tong University, for his support.
article_number: '25'
article_processing_charge: No
arxiv: 1
author:
- first_name: Peixin
  full_name: Wang, Peixin
  last_name: Wang
- first_name: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Yuxin
  full_name: Deng, Yuxin
  last_name: Deng
- first_name: Ming
  full_name: Xu, Ming
  last_name: Xu
citation:
  ama: 'Wang P, Fu H, Chatterjee K, Deng Y, Xu M. Proving expected sensitivity of
    probabilistic programs with randomized variable-dependent termination time. In:
    <i>Proceedings of the ACM on Programming Languages</i>. Vol 4. ACM; 2020. doi:<a
    href="https://doi.org/10.1145/3371093">10.1145/3371093</a>'
  apa: Wang, P., Fu, H., Chatterjee, K., Deng, Y., &#38; Xu, M. (2020). Proving expected
    sensitivity of probabilistic programs with randomized variable-dependent termination
    time. In <i>Proceedings of the ACM on Programming Languages</i> (Vol. 4). ACM.
    <a href="https://doi.org/10.1145/3371093">https://doi.org/10.1145/3371093</a>
  chicago: Wang, Peixin, Hongfei Fu, Krishnendu Chatterjee, Yuxin Deng, and Ming Xu.
    “Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent
    Termination Time.” In <i>Proceedings of the ACM on Programming Languages</i>,
    Vol. 4. ACM, 2020. <a href="https://doi.org/10.1145/3371093">https://doi.org/10.1145/3371093</a>.
  ieee: P. Wang, H. Fu, K. Chatterjee, Y. Deng, and M. Xu, “Proving expected sensitivity
    of probabilistic programs with randomized variable-dependent termination time,”
    in <i>Proceedings of the ACM on Programming Languages</i>, 2020, vol. 4, no. POPL.
  ista: Wang P, Fu H, Chatterjee K, Deng Y, Xu M. 2020. Proving expected sensitivity
    of probabilistic programs with randomized variable-dependent termination time.
    Proceedings of the ACM on Programming Languages. vol. 4, 25.
  mla: Wang, Peixin, et al. “Proving Expected Sensitivity of Probabilistic Programs
    with Randomized Variable-Dependent Termination Time.” <i>Proceedings of the ACM
    on Programming Languages</i>, vol. 4, no. POPL, 25, ACM, 2020, doi:<a href="https://doi.org/10.1145/3371093">10.1145/3371093</a>.
  short: P. Wang, H. Fu, K. Chatterjee, Y. Deng, M. Xu, in:, Proceedings of the ACM
    on Programming Languages, ACM, 2020.
date_created: 2020-08-30T22:01:12Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2024-02-22T15:16:45Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/3371093
external_id:
  arxiv:
  - '1902.04744'
file:
- access_level: open_access
  checksum: c6193d109ff4ecb17e7a6513d8eb34c0
  content_type: application/pdf
  creator: cziletti
  date_created: 2020-09-01T11:12:58Z
  date_updated: 2020-09-01T11:12:58Z
  file_id: '8328'
  file_name: 2019_ACM_POPL_Wang.pdf
  file_size: 564151
  relation: main_file
  success: 1
file_date_updated: 2020-09-01T11:12:58Z
has_accepted_license: '1'
intvolume: '         4'
issue: POPL
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
  eissn:
  - 2475-1421
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://doi.org/10.5281/zenodo.3533633
scopus_import: '1'
status: public
title: Proving expected sensitivity of probabilistic programs with randomized variable-dependent
  termination time
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2020'
...
---
_id: '8533'
abstract:
- lang: eng
  text: Game of Life is a simple and elegant model to study dynamical system over
    networks. The model consists of a graph where every vertex has one of two types,
    namely, dead or alive. A configuration is a mapping of the vertices to the types.
    An update rule describes how the type of a vertex is updated given the types of
    its neighbors. In every round, all vertices are updated synchronously, which leads
    to a configuration update. While in general, Game of Life allows a broad range
    of update rules, we focus on two simple families of update rules, namely, underpopulation
    and overpopulation, that model several interesting dynamics studied in the literature.
    In both settings, a dead vertex requires at least a desired number of live neighbors
    to become alive. For underpopulation (resp., overpopulation), a live vertex requires
    at least (resp. at most) a desired number of live neighbors to remain alive. We
    study the basic computation problems, e.g., configuration reachability, for these
    two families of rules. For underpopulation rules, we show that these problems
    can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete.
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
  Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker:
  This project has received funding from the European Union’s Horizon 2020 research\r\nand
  innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
alternative_title:
- LIPIcs
article_number: 22:1-22:13
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life:
    Algorithms and complexity. In: <i>45th International Symposium on Mathematical
    Foundations of Computer Science</i>. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">10.4230/LIPIcs.MFCS.2020.22</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., &#38; Svoboda, J. (2020).
    Simplified game of life: Algorithms and complexity. In <i>45th International Symposium
    on Mathematical Foundations of Computer Science</i> (Vol. 170). Prague, Czech
    Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">https://doi.org/10.4230/LIPIcs.MFCS.2020.22</a>'
  chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
    Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In <i>45th International
    Symposium on Mathematical Foundations of Computer Science</i>, Vol. 170. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">https://doi.org/10.4230/LIPIcs.MFCS.2020.22</a>.'
  ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified
    game of life: Algorithms and complexity,” in <i>45th International Symposium on
    Mathematical Foundations of Computer Science</i>, Prague, Czech Republic, 2020,
    vol. 170.'
  ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game
    of life: Algorithms and complexity. 45th International Symposium on Mathematical
    Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of
    Computer Science, LIPIcs, vol. 170, 22:1-22:13.'
  mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.”
    <i>45th International Symposium on Mathematical Foundations of Computer Science</i>,
    vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020,
    doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">10.4230/LIPIcs.MFCS.2020.22</a>.'
  short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International
    Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-08-28
  location: Prague, Czech Republic
  name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
  start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2025-06-02T08:53:42Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.22
ec_funded: 1
external_id:
  arxiv:
  - '2007.02894'
file:
- access_level: open_access
  checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1
  content_type: application/pdf
  creator: dernst
  date_created: 2020-09-21T13:57:34Z
  date_updated: 2020-09-21T13:57:34Z
  file_id: '8550'
  file_name: 2020_LIPIcs_Chatterjee.pdf
  file_size: 491374
  relation: main_file
  success: 1
file_date_updated: 2020-09-21T13:57:34Z
has_accepted_license: '1'
intvolume: '       170'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
  Science
publication_identifier:
  isbn:
  - '9783959771597'
  issn:
  - '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simplified game of life: Algorithms and complexity'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '8534'
abstract:
- lang: eng
  text: A regular language L of finite words is composite if there are regular languages
    L₁,L₂,…,L_t such that L = ⋂_{i = 1}^t L_i and the index (number of states in a
    minimal DFA) of every language L_i is strictly smaller than the index of L. Otherwise,
    L is prime. Primality of regular languages was introduced and studied in [O. Kupferman
    and J. Mosheiff, 2015], where the complexity of deciding the primality of the
    language of a given DFA was left open, with a doubly-exponential gap between the
    upper and lower bounds. We study primality for unary regular languages, namely
    regular languages with a singleton alphabet. A unary language corresponds to a
    subset of ℕ, making the study of unary prime languages closer to that of primality
    in number theory. We show that the setting of languages is richer. In particular,
    while every composite number is the product of two smaller numbers, the number
    t of languages necessary to decompose a composite unary language induces a strict
    hierarchy. In addition, a primality witness for a unary language L, namely a word
    that is not in L but is in all products of languages that contain L and have an
    index smaller than L’s, may be of exponential length. Still, we are able to characterize
    compositionality by structural properties of a DFA for L, leading to a LogSpace
    algorithm for primality checking of unary DFAs.
acknowledgement: "Ismaël Jecker: This project has received funding from the European
  Union’s Horizon\r\n2020 research and innovation programme under the Marie Skłodowska-Curie
  Grant Agreement No.\r\n754411. Nicolas Mazzocchi: PhD fellowship FRIA from the F.R.S.-FNRS."
alternative_title:
- LIPIcs
article_number: 51:1-51:12
article_processing_charge: No
author:
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
- first_name: Nicolas
  full_name: Mazzocchi, Nicolas
  last_name: Mazzocchi
citation:
  ama: 'Jecker IR, Kupferman O, Mazzocchi N. Unary prime languages. In: <i>45th International
    Symposium on Mathematical Foundations of Computer Science</i>. Vol 170. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.51">10.4230/LIPIcs.MFCS.2020.51</a>'
  apa: 'Jecker, I. R., Kupferman, O., &#38; Mazzocchi, N. (2020). Unary prime languages.
    In <i>45th International Symposium on Mathematical Foundations of Computer Science</i>
    (Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.51">https://doi.org/10.4230/LIPIcs.MFCS.2020.51</a>'
  chicago: Jecker, Ismael R, Orna Kupferman, and Nicolas Mazzocchi. “Unary Prime Languages.”
    In <i>45th International Symposium on Mathematical Foundations of Computer Science</i>,
    Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.51">https://doi.org/10.4230/LIPIcs.MFCS.2020.51</a>.
  ieee: I. R. Jecker, O. Kupferman, and N. Mazzocchi, “Unary prime languages,” in
    <i>45th International Symposium on Mathematical Foundations of Computer Science</i>,
    Prague, Czech Republic, 2020, vol. 170.
  ista: 'Jecker IR, Kupferman O, Mazzocchi N. 2020. Unary prime languages. 45th International
    Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on
    Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 51:1-51:12.'
  mla: Jecker, Ismael R., et al. “Unary Prime Languages.” <i>45th International Symposium
    on Mathematical Foundations of Computer Science</i>, vol. 170, 51:1-51:12, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.51">10.4230/LIPIcs.MFCS.2020.51</a>.
  short: I.R. Jecker, O. Kupferman, N. Mazzocchi, in:, 45th International Symposium
    on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2020.
conference:
  end_date: 2020-08-28
  location: Prague, Czech Republic
  name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
  start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2021-01-12T08:19:56Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.51
ec_funded: 1
file:
- access_level: open_access
  checksum: 2dc9e2fad6becd4563aef3e27a473f70
  content_type: application/pdf
  creator: dernst
  date_created: 2020-09-21T14:17:08Z
  date_updated: 2020-09-21T14:17:08Z
  file_id: '8552'
  file_name: 2020_LIPIcsMFCS_Jecker.pdf
  file_size: 597977
  relation: main_file
  success: 1
file_date_updated: 2020-09-21T14:17:08Z
has_accepted_license: '1'
intvolume: '       170'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
  Science
publication_identifier:
  isbn:
  - '9783959771597'
  issn:
  - '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unary prime languages
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '8600'
abstract:
- lang: eng
  text: 'A vector addition system with states (VASS) consists of a finite set of states
    and counters. A transition changes the current state to the next state, and every
    counter is either incremented, or decremented, or left unchanged. A state and
    value for each counter is a configuration; and a computation is an infinite sequence
    of configurations with transitions between successive configurations. A probabilistic
    VASS consists of a VASS along with a probability distribution over the transitions
    for each state. Qualitative properties such as state and configuration reachability
    have been widely studied for VASS. In this work we consider multi-dimensional
    long-run average objectives for VASS and probabilistic VASS. For a counter, the
    cost of a configuration is the value of the counter; and the long-run average
    value of a computation for the counter is the long-run average of the costs of
    the configurations in the computation. The multi-dimensional long-run average
    problem given a VASS and a threshold value for each counter, asks whether there
    is a computation such that for each counter the long-run average value for the
    counter does not exceed the respective threshold. For probabilistic VASS, instead
    of the existence of a computation, we consider whether the expected long-run average
    value for each counter does not exceed the respective threshold. Our main results
    are as follows: we show that the multi-dimensional long-run average problem (a)
    is NP-complete for integer-valued VASS; (b) is undecidable for natural-valued
    VASS (i.e., nonnegative counters); and (c) can be solved in polynomial time for
    probabilistic integer-valued VASS, and probabilistic natural-valued VASS when
    all computations are non-terminating.'
alternative_title:
- LIPIcs
article_number: '23'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: 'Chatterjee K, Henzinger TA, Otop J. Multi-dimensional long-run average problems
    for vector addition systems with states. In: <i>31st International Conference
    on Concurrency Theory</i>. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2020. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2020.23">10.4230/LIPIcs.CONCUR.2020.23</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2020). Multi-dimensional
    long-run average problems for vector addition systems with states. In <i>31st
    International Conference on Concurrency Theory</i> (Vol. 171). Virtual: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2020.23">https://doi.org/10.4230/LIPIcs.CONCUR.2020.23</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Multi-Dimensional
    Long-Run Average Problems for Vector Addition Systems with States.” In <i>31st
    International Conference on Concurrency Theory</i>, Vol. 171. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2020.23">https://doi.org/10.4230/LIPIcs.CONCUR.2020.23</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Multi-dimensional long-run average
    problems for vector addition systems with states,” in <i>31st International Conference
    on Concurrency Theory</i>, Virtual, 2020, vol. 171.
  ista: 'Chatterjee K, Henzinger TA, Otop J. 2020. Multi-dimensional long-run average
    problems for vector addition systems with states. 31st International Conference
    on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol.
    171, 23.'
  mla: Chatterjee, Krishnendu, et al. “Multi-Dimensional Long-Run Average Problems
    for Vector Addition Systems with States.” <i>31st International Conference on
    Concurrency Theory</i>, vol. 171, 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2020, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2020.23">10.4230/LIPIcs.CONCUR.2020.23</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, 31st International Conference
    on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-09-04
  location: Virtual
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2020-09-01
date_created: 2020-10-04T22:01:36Z
date_published: 2020-08-06T00:00:00Z
date_updated: 2021-01-12T08:20:15Z
day: '06'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2020.23
external_id:
  arxiv:
  - '2007.08917'
file:
- access_level: open_access
  checksum: 5039752f644c4b72b9361d21a5e31baf
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-05T14:04:25Z
  date_updated: 2020-10-05T14:04:25Z
  file_id: '8610'
  file_name: 2020_LIPIcsCONCUR_Chatterjee.pdf
  file_size: 601231
  relation: main_file
  success: 1
file_date_updated: 2020-10-05T14:04:25Z
has_accepted_license: '1'
intvolume: '       171'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
publication: 31st International Conference on Concurrency Theory
publication_identifier:
  isbn:
  - '9783959771603'
  issn:
  - '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multi-dimensional long-run average problems for vector addition systems with
  states
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 171
year: '2020'
...
---
_id: '8671'
abstract:
- lang: eng
  text: 'We study relations between evidence theory and S-approximation spaces. Both
    theories have their roots in the analysis of Dempsterchr(''39'')s multivalued
    mappings and lower and upper probabilities, and have close relations to rough
    sets. We show that an S-approximation space, satisfying a monotonicity condition,
    can induce a natural belief structure which is a fundamental block in evidence
    theory. We also demonstrate that one can induce a natural belief structure on
    one set, given a belief structure on another set, if the two sets are related
    by a partial monotone S-approximation space. '
acknowledgement: We are very grateful to the anonymous reviewer for detailed comments
  and suggestions that significantly improved the presentation of this paper. The
  research was partially supported by a DOC fellowship of the Austrian Academy of
  Sciences.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: A.
  full_name: Shakiba, A.
  last_name: Shakiba
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: M.R.
  full_name: Hooshmandasl, M.R.
  last_name: Hooshmandasl
- first_name: M.
  full_name: Alambardar Meybodi, M.
  last_name: Alambardar Meybodi
citation:
  ama: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on
    belief structures and s-approximation spaces. <i>Iranian Journal of Mathematical
    Sciences and Informatics</i>. 2020;15(2):117-128. doi:<a href="https://doi.org/10.29252/ijmsi.15.2.117">10.29252/ijmsi.15.2.117</a>
  apa: Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., &#38; Alambardar Meybodi,
    M. (2020). A note on belief structures and s-approximation spaces. <i>Iranian
    Journal of Mathematical Sciences and Informatics</i>. Iranian Academic Center
    for Education, Culture and Research. <a href="https://doi.org/10.29252/ijmsi.15.2.117">https://doi.org/10.29252/ijmsi.15.2.117</a>
  chicago: Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar
    Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” <i>Iranian
    Journal of Mathematical Sciences and Informatics</i>. Iranian Academic Center
    for Education, Culture and Research, 2020. <a href="https://doi.org/10.29252/ijmsi.15.2.117">https://doi.org/10.29252/ijmsi.15.2.117</a>.
  ieee: A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi,
    “A note on belief structures and s-approximation spaces,” <i>Iranian Journal of
    Mathematical Sciences and Informatics</i>, vol. 15, no. 2. Iranian Academic Center
    for Education, Culture and Research, pp. 117–128, 2020.
  ista: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. 2020. A note
    on belief structures and s-approximation spaces. Iranian Journal of Mathematical
    Sciences and Informatics. 15(2), 117–128.
  mla: Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.”
    <i>Iranian Journal of Mathematical Sciences and Informatics</i>, vol. 15, no.
    2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28,
    doi:<a href="https://doi.org/10.29252/ijmsi.15.2.117">10.29252/ijmsi.15.2.117</a>.
  short: A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian
    Journal of Mathematical Sciences and Informatics 15 (2020) 117–128.
date_created: 2020-10-18T22:01:36Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2023-10-16T09:25:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.29252/ijmsi.15.2.117
external_id:
  arxiv:
  - '1805.10672'
file:
- access_level: open_access
  checksum: f299661a6d51cda6d255a76be696f48d
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-19T11:14:20Z
  date_updated: 2020-10-19T11:14:20Z
  file_id: '8676'
  file_name: 2020_ijmsi_Shakiba_accepted.pdf
  file_size: 261688
  relation: main_file
  success: 1
file_date_updated: 2020-10-19T11:14:20Z
has_accepted_license: '1'
intvolume: '        15'
issue: '2'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 117-128
project:
- _id: 267066CE-B435-11E9-9278-68D0E5697425
  name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Iranian Journal of Mathematical Sciences and Informatics
publication_identifier:
  eissn:
  - 2008-9473
  issn:
  - 1735-4463
publication_status: published
publisher: Iranian Academic Center for Education, Culture and Research
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on belief structures and s-approximation spaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2020'
...
---
_id: '8728'
abstract:
- lang: eng
  text: Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are
    two standard formalisms in system analysis. Their main associated quantitative
    objectives are hitting probabilities, discounted sum, and mean payoff. Although
    there are many techniques for computing these objectives in general MCs/MDPs,
    they have not been thoroughly studied in terms of parameterized algorithms, particularly
    when treewidth is used as the parameter. This is in sharp contrast to qualitative
    objectives for MCs, MDPs and graph games, for which treewidth-based algorithms
    yield significant complexity improvements. In this work, we show that treewidth
    can also be used to obtain faster algorithms for the quantitative problems. For
    an MC with n states and m transitions, we show that each of the classical quantitative
    objectives can be computed in   O((n+m)⋅t2)  time, given a tree decomposition
    of the MC with width t. Our results also imply a bound of   O(κ⋅(n+m)⋅t2)  for
    each objective on MDPs, where   κ  is the number of strategy-iteration refinements
    required for the given input and objective. Finally, we make an experimental evaluation
    of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark
    suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms
    outperform existing well-established methods by one or more orders of magnitude.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ali
  full_name: Asadi, Ali
  last_name: Asadi
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Kiarash
  full_name: Mohammadi, Kiarash
  last_name: Mohammadi
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster
    algorithms for quantitative analysis of MCs and MDPs with small treewidth. In:
    <i>Automated Technology for Verification and Analysis</i>. Vol 12302. Springer
    Nature; 2020:253-270. doi:<a href="https://doi.org/10.1007/978-3-030-59152-6_14">10.1007/978-3-030-59152-6_14</a>'
  apa: 'Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., &#38; Pavlogiannis,
    A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small
    treewidth. In <i>Automated Technology for Verification and Analysis</i> (Vol.
    12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-59152-6_14">https://doi.org/10.1007/978-3-030-59152-6_14</a>'
  chicago: Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi,
    and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs
    and MDPs with Small Treewidth.” In <i>Automated Technology for Verification and
    Analysis</i>, 12302:253–70. Springer Nature, 2020. <a href="https://doi.org/10.1007/978-3-030-59152-6_14">https://doi.org/10.1007/978-3-030-59152-6_14</a>.
  ieee: A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis,
    “Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,”
    in <i>Automated Technology for Verification and Analysis</i>, Hanoi, Vietnam,
    2020, vol. 12302, pp. 253–270.
  ista: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020.
    Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth.
    Automated Technology for Verification and Analysis. ATVA: Automated Technology
    for Verification and Analysis, LNCS, vol. 12302, 253–270.'
  mla: Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and
    MDPs with Small Treewidth.” <i>Automated Technology for Verification and Analysis</i>,
    vol. 12302, Springer Nature, 2020, pp. 253–70, doi:<a href="https://doi.org/10.1007/978-3-030-59152-6_14">10.1007/978-3-030-59152-6_14</a>.
  short: A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis,
    in:, Automated Technology for Verification and Analysis, Springer Nature, 2020,
    pp. 253–270.
conference:
  end_date: 2020-10-23
  location: Hanoi, Vietnam
  name: 'ATVA: Automated Technology for Verification and Analysis'
  start_date: 2020-10-19
date_created: 2020-11-06T07:30:05Z
date_published: 2020-10-12T00:00:00Z
date_updated: 2025-06-02T08:53:43Z
day: '12'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-59152-6_14
external_id:
  isi:
  - '000723555700014'
file:
- access_level: open_access
  checksum: ae83f27e5b189d5abc2e7514f1b7e1b5
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-06T07:41:03Z
  date_updated: 2020-11-06T07:41:03Z
  file_id: '8729'
  file_name: 2020_LNCS_ATVA_Asadi_accepted.pdf
  file_size: 726648
  relation: main_file
  success: 1
file_date_updated: 2020-11-06T07:41:03Z
has_accepted_license: '1'
intvolume: '     12302'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 253-270
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 267066CE-B435-11E9-9278-68D0E5697425
  name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Automated Technology for Verification and Analysis
publication_identifier:
  eisbn:
  - '9783030591526'
  eissn:
  - 1611-3349
  isbn:
  - '9783030591519'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 12302
year: '2020'
...
---
_id: '8767'
abstract:
- lang: eng
  text: Resources are rarely distributed uniformly within a population. Heterogeneity
    in the concentration of a drug, the quality of breeding sites, or wealth can all
    affect evolutionary dynamics. In this study, we represent a collection of properties
    affecting the fitness at a given location using a color. A green node is rich
    in resources while a red node is poorer. More colors can represent a broader spectrum
    of resource qualities. For a population evolving according to the birth-death
    Moran model, the first question we address is which structures, identified by
    graph connectivity and graph coloring, are evolutionarily equivalent. We prove
    that all properly two-colored, undirected, regular graphs are evolutionarily equivalent
    (where “properly colored” means that no two neighbors have the same color). We
    then compare the effects of background heterogeneity on properly two-colored graphs
    to those with alternative schemes in which the colors are permuted. Finally, we
    discuss dynamic coloring as a model for spatiotemporal resource fluctuations,
    and we illustrate that random dynamic colorings often diminish the effects of
    background heterogeneity relative to a proper two-coloring.
acknowledgement: 'We thank Igor Erovenko for many helpful comments on an earlier version
  of this paper. : Army Research Laboratory (grant W911NF-18-2-0265) (M.A.N.); the
  Bill & Melinda Gates Foundation (grant OPP1148627) (M.A.N.); the NVIDIA Corporation
  (A.M.). The funders had no role in study design, data collection and analysis, decision
  to publish, or preparation of the manuscript.'
article_number: e1008402
article_processing_charge: No
article_type: original
author:
- first_name: Kamran
  full_name: Kaveh, Kamran
  last_name: Kaveh
- first_name: Alex
  full_name: McAvoy, Alex
  last_name: McAvoy
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. The Moran process on 2-chromatic
    graphs. <i>PLOS Computational Biology</i>. 2020;16(11). doi:<a href="https://doi.org/10.1371/journal.pcbi.1008402">10.1371/journal.pcbi.1008402</a>
  apa: Kaveh, K., McAvoy, A., Chatterjee, K., &#38; Nowak, M. A. (2020). The Moran
    process on 2-chromatic graphs. <i>PLOS Computational Biology</i>. Public Library
    of Science. <a href="https://doi.org/10.1371/journal.pcbi.1008402">https://doi.org/10.1371/journal.pcbi.1008402</a>
  chicago: Kaveh, Kamran, Alex McAvoy, Krishnendu Chatterjee, and Martin A. Nowak.
    “The Moran Process on 2-Chromatic Graphs.” <i>PLOS Computational Biology</i>.
    Public Library of Science, 2020. <a href="https://doi.org/10.1371/journal.pcbi.1008402">https://doi.org/10.1371/journal.pcbi.1008402</a>.
  ieee: K. Kaveh, A. McAvoy, K. Chatterjee, and M. A. Nowak, “The Moran process on
    2-chromatic graphs,” <i>PLOS Computational Biology</i>, vol. 16, no. 11. Public
    Library of Science, 2020.
  ista: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. 2020. The Moran process on 2-chromatic
    graphs. PLOS Computational Biology. 16(11), e1008402.
  mla: Kaveh, Kamran, et al. “The Moran Process on 2-Chromatic Graphs.” <i>PLOS Computational
    Biology</i>, vol. 16, no. 11, e1008402, Public Library of Science, 2020, doi:<a
    href="https://doi.org/10.1371/journal.pcbi.1008402">10.1371/journal.pcbi.1008402</a>.
  short: K. Kaveh, A. McAvoy, K. Chatterjee, M.A. Nowak, PLOS Computational Biology
    16 (2020).
date_created: 2020-11-18T07:20:23Z
date_published: 2020-11-05T00:00:00Z
date_updated: 2023-08-22T12:49:18Z
day: '05'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1008402
external_id:
  isi:
  - '000591317200004'
file:
- access_level: open_access
  checksum: 555456dd0e47bcf9e0994bcb95577e88
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-18T07:26:10Z
  date_updated: 2020-11-18T07:26:10Z
  file_id: '8768'
  file_name: 2020_PlosCompBio_Kaveh.pdf
  file_size: 2498594
  relation: main_file
  success: 1
file_date_updated: 2020-11-18T07:26:10Z
has_accepted_license: '1'
intvolume: '        16'
isi: 1
issue: '11'
keyword:
- Ecology
- Modelling and Simulation
- Computational Theory and Mathematics
- Genetics
- Ecology
- Evolution
- Behavior and Systematics
- Molecular Biology
- Cellular and Molecular Neuroscience
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: PLOS Computational Biology
publication_identifier:
  eissn:
  - 1553-7358
  issn:
  - 1553-734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Moran process on 2-chromatic graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 16
year: '2020'
...
---
_id: '8788'
abstract:
- lang: eng
  text: 'We consider a real-time setting where an environment releases sequences of
    firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute
    on a single processor so as to maximize cumulated utility. The competitive ratio
    is a well-known performance measure for the scheduler: it gives the worst-case
    ratio, among all possible choices for the environment, of the cumulated utility
    of the online scheduler versus an offline scheduler that knows these choices in
    advance. Traditionally, competitive analysis is performed by hand, while automated
    techniques are rare and only handle static environments with independent tasks.
    We present a quantitative-verification framework for precedence-aware competitive
    analysis, where task releases may depend on preceding scheduling choices, i.e.,
    the environment can respond to scheduling decisions dynamically . We consider
    two general classes of precedences: 1) follower precedences force the release
    of a dependent task upon the completion of a set of precursor tasks, while and
    2) pairing precedences modify the characteristics of a dependent task provided
    the completion of a set of precursor tasks. Precedences make competitive analysis
    challenging, as the online and offline schedulers operate on diverging sequences.
    We make a formal presentation of our framework, and use a GPU-based implementation
    to analyze ten well-known schedulers on precedence-based application examples
    taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching;
    3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental
    results show that precedences and task parameters can vary drastically the best
    scheduler. Our framework thus supports application designers in choosing the best
    scheduler among a given set automatically.'
acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF)
  under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented
  in the International Conference on Embedded Software 2020 and appears as part of
  the ESWEEK-TCAD special issue. '
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Nico
  full_name: Schaumberger, Nico
  last_name: Schaumberger
- first_name: Ulrich
  full_name: Schmid, Ulrich
  last_name: Schmid
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated
    competitive analysis of real-time scheduling. <i>IEEE Transactions on Computer-Aided
    Design of Integrated Circuits and Systems</i>. 2020;39(11):3981-3992. doi:<a href="https://doi.org/10.1109/TCAD.2020.3012803">10.1109/TCAD.2020.3012803</a>
  apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., &#38; Chatterjee, K. (2020).
    Precedence-aware automated competitive analysis of real-time scheduling. <i>IEEE
    Transactions on Computer-Aided Design of Integrated Circuits and Systems</i>.
    IEEE. <a href="https://doi.org/10.1109/TCAD.2020.3012803">https://doi.org/10.1109/TCAD.2020.3012803</a>
  chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu
    Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.”
    <i>IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems</i>.
    IEEE, 2020. <a href="https://doi.org/10.1109/TCAD.2020.3012803">https://doi.org/10.1109/TCAD.2020.3012803</a>.
  ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware
    automated competitive analysis of real-time scheduling,” <i>IEEE Transactions
    on Computer-Aided Design of Integrated Circuits and Systems</i>, vol. 39, no.
    11. IEEE, pp. 3981–3992, 2020.
  ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware
    automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
    Design of Integrated Circuits and Systems. 39(11), 3981–3992.
  mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis
    of Real-Time Scheduling.” <i>IEEE Transactions on Computer-Aided Design of Integrated
    Circuits and Systems</i>, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:<a href="https://doi.org/10.1109/TCAD.2020.3012803">10.1109/TCAD.2020.3012803</a>.
  short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions
    on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992.
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-08-22T13:27:05Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/TCAD.2020.3012803
external_id:
  isi:
  - '000587712700069'
intvolume: '        39'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa_version: None
page: 3981-3992
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and
  Systems
publication_identifier:
  eissn:
  - '19374151'
  issn:
  - '02780070'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Precedence-aware automated competitive analysis of real-time scheduling
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 39
year: '2020'
...
---
_id: '8789'
abstract:
- lang: eng
  text: Cooperation is a ubiquitous and beneficial behavioural trait despite being
    prone to exploitation by free-riders. Hence, cooperative populations are prone
    to invasions by selfish individuals. However, a population consisting of only
    free-riders typically does not survive. Thus, cooperators and free-riders often
    coexist in some proportion. An evolutionary version of a Snowdrift Game proved
    its efficiency in analysing this phenomenon. However, what if the system has already
    reached its stable state but was perturbed due to a change in environmental conditions?
    Then, individuals may have to re-learn their effective strategies. To address
    this, we consider behavioural mistakes in strategic choice execution, which we
    refer to as incompetence. Parametrising the propensity to make such mistakes allows
    for a mathematical description of learning. We compare strategies based on their
    relative strategic advantage relying on both fitness and learning factors. When
    strategies are learned at distinct rates, allowing learning according to a prescribed
    order is optimal. Interestingly, the strategy with the lowest strategic advantage
    should be learnt first if we are to optimise fitness over the learning path. Then,
    the differences between strategies are balanced out in order to minimise the effect
    of behavioural uncertainty.
acknowledgement: "This work was supported by the European Union’s Horizon 2020 research
  and innovation program under the Marie Sklodowska-Curie Grant Agreement #754411,
  the Australian Research Council Discovery Grants DP160101236 and DP150100618, and
  the European Research Council Consolidator Grant 863818 (FoRM-SMArt).\r\nAuthors
  would like to thank Patrick McKinlay for his work on the preliminary results for
  this paper."
article_number: '1945'
article_processing_charge: No
article_type: original
author:
- first_name: Maria
  full_name: Kleshnina, Maria
  id: 4E21749C-F248-11E8-B48F-1D18A9856A87
  last_name: Kleshnina
- first_name: Sabrina
  full_name: Streipert, Sabrina
  last_name: Streipert
- first_name: Jerzy
  full_name: Filar, Jerzy
  last_name: Filar
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Kleshnina M, Streipert S, Filar J, Chatterjee K. Prioritised learning in snowdrift-type
    games. <i>Mathematics</i>. 2020;8(11). doi:<a href="https://doi.org/10.3390/math8111945">10.3390/math8111945</a>
  apa: Kleshnina, M., Streipert, S., Filar, J., &#38; Chatterjee, K. (2020). Prioritised
    learning in snowdrift-type games. <i>Mathematics</i>. MDPI. <a href="https://doi.org/10.3390/math8111945">https://doi.org/10.3390/math8111945</a>
  chicago: Kleshnina, Maria, Sabrina Streipert, Jerzy Filar, and Krishnendu Chatterjee.
    “Prioritised Learning in Snowdrift-Type Games.” <i>Mathematics</i>. MDPI, 2020.
    <a href="https://doi.org/10.3390/math8111945">https://doi.org/10.3390/math8111945</a>.
  ieee: M. Kleshnina, S. Streipert, J. Filar, and K. Chatterjee, “Prioritised learning
    in snowdrift-type games,” <i>Mathematics</i>, vol. 8, no. 11. MDPI, 2020.
  ista: Kleshnina M, Streipert S, Filar J, Chatterjee K. 2020. Prioritised learning
    in snowdrift-type games. Mathematics. 8(11), 1945.
  mla: Kleshnina, Maria, et al. “Prioritised Learning in Snowdrift-Type Games.” <i>Mathematics</i>,
    vol. 8, no. 11, 1945, MDPI, 2020, doi:<a href="https://doi.org/10.3390/math8111945">10.3390/math8111945</a>.
  short: M. Kleshnina, S. Streipert, J. Filar, K. Chatterjee, Mathematics 8 (2020).
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-04T00:00:00Z
date_updated: 2025-07-14T09:09:49Z
day: '04'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.3390/math8111945
ec_funded: 1
external_id:
  isi:
  - '000593962100001'
file:
- access_level: open_access
  checksum: 61cfcc3b35760656ce7a9385a4ace5d2
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-23T13:06:30Z
  date_updated: 2020-11-23T13:06:30Z
  file_id: '8797'
  file_name: 2020_Mathematics_Kleshnina.pdf
  file_size: 565191
  relation: main_file
  success: 1
file_date_updated: 2020-11-23T13:06:30Z
has_accepted_license: '1'
intvolume: '         8'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Mathematics
publication_identifier:
  eissn:
  - '22277390'
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: Prioritised learning in snowdrift-type games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 8
year: '2020'
...
---
_id: '6918'
abstract:
- lang: eng
  text: "We consider the classic problem of Network Reliability. A network is given
    together with a source vertex, one or more target vertices, and probabilities
    assigned to each of the edges. Each edge of the network is operable with its associated
    probability and the problem is to determine the probability of having at least
    one source-to-target path that is entirely composed of operable edges. This problem
    is known to be NP-hard.\r\n\r\nWe provide a novel scalable algorithm to solve
    the Network Reliability problem when the treewidth of the underlying network is
    small. We also show our algorithm’s applicability for real-world transit networks
    that have small treewidth, including the metro networks of major cities, such
    as London and Tokyo. Our algorithm leverages tree decompositions to shrink the
    original graph into much smaller graphs, for which reliability can be efficiently
    and exactly computed using a brute force method. To the best of our knowledge,
    this is the first exact algorithm for Network Reliability that can scale to handle
    real-world instances of the problem."
acknowledgement: We are grateful to the anonymous reviewers for their comments, which
  significantly improved the present work. The research was partially supported by
  the EPSRC Early Career Fellowship EP/R023379/1, grant no. SC7-1718-01 of the London
  Mathematical Society, an IBM PhD Fellowship, and a DOC Fellowship of the Austrian
  Academy of Sciences (ÖAW).
article_number: '106665'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Fatemeh
  full_name: Mohammadi, Fatemeh
  last_name: Mohammadi
citation:
  ama: Goharshady AK, Mohammadi F. An efficient algorithm for computing network reliability
    in small treewidth. <i>Reliability Engineering and System Safety</i>. 2020;193.
    doi:<a href="https://doi.org/10.1016/j.ress.2019.106665">10.1016/j.ress.2019.106665</a>
  apa: Goharshady, A. K., &#38; Mohammadi, F. (2020). An efficient algorithm for computing
    network reliability in small treewidth. <i>Reliability Engineering and System
    Safety</i>. Elsevier. <a href="https://doi.org/10.1016/j.ress.2019.106665">https://doi.org/10.1016/j.ress.2019.106665</a>
  chicago: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm
    for Computing Network Reliability in Small Treewidth.” <i>Reliability Engineering
    and System Safety</i>. Elsevier, 2020. <a href="https://doi.org/10.1016/j.ress.2019.106665">https://doi.org/10.1016/j.ress.2019.106665</a>.
  ieee: A. K. Goharshady and F. Mohammadi, “An efficient algorithm for computing network
    reliability in small treewidth,” <i>Reliability Engineering and System Safety</i>,
    vol. 193. Elsevier, 2020.
  ista: Goharshady AK, Mohammadi F. 2020. An efficient algorithm for computing network
    reliability in small treewidth. Reliability Engineering and System Safety. 193,
    106665.
  mla: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for
    Computing Network Reliability in Small Treewidth.” <i>Reliability Engineering
    and System Safety</i>, vol. 193, 106665, Elsevier, 2020, doi:<a href="https://doi.org/10.1016/j.ress.2019.106665">10.1016/j.ress.2019.106665</a>.
  short: A.K. Goharshady, F. Mohammadi, Reliability Engineering and System Safety
    193 (2020).
date_created: 2019-09-29T22:00:44Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2024-03-25T23:30:18Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.ress.2019.106665
external_id:
  arxiv:
  - '1712.09692'
  isi:
  - '000501641400050'
intvolume: '       193'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1712.09692
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
  name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
    Contracts
publication: Reliability Engineering and System Safety
publication_identifier:
  issn:
  - '09518320'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: An efficient algorithm for computing network reliability in small treewidth
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 193
year: '2020'
...
---
_id: '7196'
abstract:
- lang: eng
  text: 'In this thesis we study certain mathematical aspects of evolution. The two
    primary forces that drive an evolutionary process are mutation and selection.
    Mutation generates new variants in a population. Selection chooses among the variants
    depending on the reproductive rates of individuals. Evolutionary processes are
    intrinsically random – a new mutation that is initially present in the population
    at low frequency can go extinct, even if it confers a reproductive advantage.
    The overall rate of evolution is largely determined by two quantities: the probability
    that an invading advantageous mutation spreads through the population (called
    fixation probability) and the time until it does so (called fixation time). Both
    those quantities crucially depend not only on the strength of the invading mutation
    but also on the population structure. In this thesis, we aim to understand how
    the underlying population structure affects the overall rate of evolution. Specifically,
    we study population structures that increase the fixation probability of advantageous
    mutants (called amplifiers of selection). Broadly speaking, our results are of
    three different types: We present various strong amplifiers, we identify regimes
    under which only limited amplification is feasible, and we propose population
    structures that provide different tradeoffs between high fixation probability
    and short fixation time.'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: Tkadlec J. A role of graphs in evolutionary processes. 2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:7196">10.15479/AT:ISTA:7196</a>
  apa: Tkadlec, J. (2020). <i>A role of graphs in evolutionary processes</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:7196">https://doi.org/10.15479/AT:ISTA:7196</a>
  chicago: Tkadlec, Josef. “A Role of Graphs in Evolutionary Processes.” Institute
    of Science and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:7196">https://doi.org/10.15479/AT:ISTA:7196</a>.
  ieee: J. Tkadlec, “A role of graphs in evolutionary processes,” Institute of Science
    and Technology Austria, 2020.
  ista: Tkadlec J. 2020. A role of graphs in evolutionary processes. Institute of
    Science and Technology Austria.
  mla: Tkadlec, Josef. <i>A Role of Graphs in Evolutionary Processes</i>. Institute
    of Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:7196">10.15479/AT:ISTA:7196</a>.
  short: J. Tkadlec, A Role of Graphs in Evolutionary Processes, Institute of Science
    and Technology Austria, 2020.
date_created: 2019-12-20T12:26:36Z
date_published: 2020-01-12T00:00:00Z
date_updated: 2023-10-17T12:29:46Z
day: '12'
ddc:
- '519'
degree_awarded: PhD
department:
- _id: KrCh
- _id: GradSch
doi: 10.15479/AT:ISTA:7196
file:
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  checksum: 451f8e64b0eb26bf297644ac72bfcbe9
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language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '144'
publication_identifier:
  eissn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '7210'
    relation: dissertation_contains
    status: public
  - id: '5751'
    relation: dissertation_contains
    status: public
  - id: '7212'
    relation: dissertation_contains
    status: public
status: public
supervisor:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
title: A role of graphs in evolutionary processes
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '7212'
abstract:
- lang: eng
  text: The fixation probability of a single mutant invading a population of residents
    is among the most widely-studied quantities in evolutionary dynamics. Amplifiers
    of natural selection are population structures that increase the fixation probability
    of advantageous mutants, compared to well-mixed populations. Extensive studies
    have shown that many amplifiers exist for the Birth-death Moran process, some
    of them substantially increasing the fixation probability or even guaranteeing
    fixation in the limit of large population size. On the other hand, no amplifiers
    are known for the death-Birth Moran process, and computer-assisted exhaustive
    searches have failed to discover amplification. In this work we resolve this disparity,
    by showing that any amplification under death-Birth updating is necessarily bounded
    and transient. Our boundedness result states that even if a population structure
    does amplify selection, the resulting fixation probability is close to that of
    the well-mixed population. Our transience result states that for any population
    structure there exists a threshold r⋆ such that the population structure ceases
    to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally,
    we also extend the above results to δ-death-Birth updating, which is a combination
    of Birth-death and death-Birth updating. On the positive side, we identify population
    structures that maintain amplification for a wide range of values r and δ. These
    results demonstrate that amplification of natural selection depends on the specific
    mechanisms of the evolutionary process.
article_number: e1007494
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of
    natural selection under death-Birth updating. <i>PLoS computational biology</i>.
    2020;16. doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>
  apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2020). Limits
    on amplifiers of natural selection under death-Birth updating. <i>PLoS Computational
    Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>
  chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
    A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.”
    <i>PLoS Computational Biology</i>. Public Library of Science, 2020. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>.
  ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers
    of natural selection under death-Birth updating,” <i>PLoS computational biology</i>,
    vol. 16. Public Library of Science, 2020.
  ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers
    of natural selection under death-Birth updating. PLoS computational biology. 16,
    e1007494.
  mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth
    Updating.” <i>PLoS Computational Biology</i>, vol. 16, e1007494, Public Library
    of Science, 2020, doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>.
  short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational
    Biology 16 (2020).
date_created: 2019-12-23T13:45:11Z
date_published: 2020-01-17T00:00:00Z
date_updated: 2023-10-17T12:29:47Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1007494
ec_funded: 1
external_id:
  arxiv:
  - '1906.02785'
  isi:
  - '000510916500025'
file:
- access_level: open_access
  checksum: ce32ee2d2f53aed832f78bbd47e882df
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  date_updated: 2020-07-14T12:47:53Z
  file_id: '7441'
  file_name: 2020_PlosCompBio_Tkadlec.pdf
  file_size: 1817531
  relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: '        16'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: PLoS computational biology
publication_identifier:
  eissn:
  - '15537358'
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
  record:
  - id: '7196'
    relation: part_of_dissertation
    status: public
scopus_import: '1'
status: public
title: Limits on amplifiers of natural selection under death-Birth updating
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '7343'
abstract:
- lang: eng
  text: Coinfections with multiple pathogens can result in complex within‐host dynamics
    affecting virulence and transmission. While multiple infections are intensively
    studied in solitary hosts, it is so far unresolved how social host interactions
    interfere with pathogen competition, and if this depends on coinfection diversity.
    We studied how the collective disease defences of ants – their social immunity
    – influence pathogen competition in coinfections of same or different fungal pathogen
    species. Social immunity reduced virulence for all pathogen combinations, but
    interfered with spore production only in different‐species coinfections. Here,
    it decreased overall pathogen sporulation success while increasing co‐sporulation
    on individual cadavers and maintaining a higher pathogen diversity at the community
    level. Mathematical modelling revealed that host sanitary care alone can modulate
    competitive outcomes between pathogens, giving advantage to fast‐germinating,
    thus less grooming‐sensitive ones. Host social interactions can hence modulate
    infection dynamics in coinfected group members, thereby altering pathogen communities
    at the host level and population level.
acknowledged_ssus:
- _id: LifeSc
acknowledgement: "We thank Bernhardt Steinwender and Jorgen Eilenberg for the fungal
  strains, Xavier Espadaler, Mireia Diaz, Christiane Wanke, Lumi Viljakainen and the
  Social Immunity Team at IST Austria, for help with ant collection, and Wanda Gorecka
  and Gertraud Stift of the IST Austria Life Science Facility for technical support.
  We are thankful to Dieter Ebert for input at all stages of the project, Roger Mundry
  for statistical advice, Hinrich Schulenburg, Paul Schmid-Hempel, Yuko\r\nUlrich
  and Joachim Kurtz for project discussion, Bor Kavcic for advice on growth curves,
  Marcus Roper for advice on modelling work and comments on the manuscript, as well
  as Marjon de Vos, Weini Huang and the Social Immunity Team for comments on the manuscript.\r\nThis
  study was funded by the German Research Foundation (DFG) within the Priority Programme
  1399 Host-parasite Coevolution (CR 118/3 to S.C.) and the People Programme\r\n(Marie
  Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013)
  under REA grant agreement no 291734 (ISTFELLOW to B.M.). "
article_processing_charge: Yes (via OA deal)
article_type: letter_note
author:
- first_name: Barbara
  full_name: Milutinovic, Barbara
  id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87
  last_name: Milutinovic
  orcid: 0000-0002-8214-4758
- first_name: Miriam
  full_name: Stock, Miriam
  id: 42462816-F248-11E8-B48F-1D18A9856A87
  last_name: Stock
- first_name: Anna V
  full_name: Grasse, Anna V
  id: 406F989C-F248-11E8-B48F-1D18A9856A87
  last_name: Grasse
- first_name: Elisabeth
  full_name: Naderlinger, Elisabeth
  id: 31757262-F248-11E8-B48F-1D18A9856A87
  last_name: Naderlinger
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Sylvia
  full_name: Cremer, Sylvia
  id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
  last_name: Cremer
  orcid: 0000-0002-2193-3868
citation:
  ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social
    immunity modulates competition between coinfecting pathogens. <i>Ecology Letters</i>.
    2020;23(3):565-574. doi:<a href="https://doi.org/10.1111/ele.13458">10.1111/ele.13458</a>
  apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., &#38;
    Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens.
    <i>Ecology Letters</i>. Wiley. <a href="https://doi.org/10.1111/ele.13458">https://doi.org/10.1111/ele.13458</a>
  chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger,
    Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between
    Coinfecting Pathogens.” <i>Ecology Letters</i>. Wiley, 2020. <a href="https://doi.org/10.1111/ele.13458">https://doi.org/10.1111/ele.13458</a>.
  ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer,
    “Social immunity modulates competition between coinfecting pathogens,” <i>Ecology
    Letters</i>, vol. 23, no. 3. Wiley, pp. 565–574, 2020.
  ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020.
    Social immunity modulates competition between coinfecting pathogens. Ecology Letters.
    23(3), 565–574.
  mla: Milutinovic, Barbara, et al. “Social Immunity Modulates Competition between
    Coinfecting Pathogens.” <i>Ecology Letters</i>, vol. 23, no. 3, Wiley, 2020, pp.
    565–74, doi:<a href="https://doi.org/10.1111/ele.13458">10.1111/ele.13458</a>.
  short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer,
    Ecology Letters 23 (2020) 565–574.
date_created: 2020-01-20T13:32:12Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-09-05T16:04:49Z
day: '01'
ddc:
- '570'
department:
- _id: SyCr
- _id: KrCh
doi: 10.1111/ele.13458
ec_funded: 1
external_id:
  isi:
  - '000507515900001'
file:
- access_level: open_access
  checksum: 0cd8be386fa219db02845b7c3991ce04
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-19T11:27:10Z
  date_updated: 2020-11-19T11:27:10Z
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file_date_updated: 2020-11-19T11:27:10Z
has_accepted_license: '1'
intvolume: '        23'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '03'
oa: 1
oa_version: Published Version
page: 565-574
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 25DAF0B2-B435-11E9-9278-68D0E5697425
  grant_number: CR-118/3-1
  name: Host-Parasite Coevolution
publication: Ecology Letters
publication_identifier:
  eissn:
  - 1461-0248
  issn:
  - 1461-023X
publication_status: published
publisher: Wiley
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/social-ants-shapes-disease-outcome/
  record:
  - id: '13060'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Social immunity modulates competition between coinfecting pathogens
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2020'
...
---
_id: '7346'
abstract:
- lang: eng
  text: 'The Price of Anarchy (PoA) is a well-established game-theoretic concept to
    shed light on coordination issues arising in open distributed systems. Leaving
    agents to selfishly optimize comes with the risk of ending up in sub-optimal states
    (in terms of performance and/or costs), compared to a centralized system design.
    However, the PoA relies on strong assumptions about agents'' rationality (e.g.,
    resources and information) and interactions, whereas in many distributed systems
    agents interact locally with bounded resources. They do so repeatedly over time
    (in contrast to "one-shot games"), and their strategies may evolve. Using a more
    realistic evolutionary game model, this paper introduces a realized evolutionary
    Price of Anarchy (ePoA). The ePoA allows an exploration of equilibrium selection
    in dynamic distributed systems with multiple equilibria, based on local interactions
    of simple memoryless agents. Considering a fundamental game related to virus propagation
    on networks, we present analytical bounds on the ePoA in basic network topologies
    and for different strategy update dynamics. In particular, deriving stationary
    distributions of the stochastic evolutionary process, we find that the Nash equilibria
    are not always the most abundant states, and that different processes can feature
    significant off-equilibrium behavior, leading to a significantly higher ePoA compared
    to the PoA studied traditionally in the literature. '
alternative_title:
- LIPIcs
article_number: '21'
article_processing_charge: No
arxiv: 1
author:
- first_name: Laura
  full_name: Schmid, Laura
  id: 38B437DE-F248-11E8-B48F-1D18A9856A87
  last_name: Schmid
  orcid: 0000-0002-6978-7329
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
citation:
  ama: 'Schmid L, Chatterjee K, Schmid S. The evolutionary price of anarchy: Locally
    bounded agents in a dynamic virus game. In: <i>Proceedings of the 23rd International
    Conference on Principles of Distributed Systems</i>. Vol 153. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2019.21">10.4230/LIPIcs.OPODIS.2019.21</a>'
  apa: 'Schmid, L., Chatterjee, K., &#38; Schmid, S. (2020). The evolutionary price
    of anarchy: Locally bounded agents in a dynamic virus game. In <i>Proceedings
    of the 23rd International Conference on Principles of Distributed Systems</i>
    (Vol. 153). Neuchâtel, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2019.21">https://doi.org/10.4230/LIPIcs.OPODIS.2019.21</a>'
  chicago: 'Schmid, Laura, Krishnendu Chatterjee, and Stefan Schmid. “The Evolutionary
    Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” In <i>Proceedings
    of the 23rd International Conference on Principles of Distributed Systems</i>,
    Vol. 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2019.21">https://doi.org/10.4230/LIPIcs.OPODIS.2019.21</a>.'
  ieee: 'L. Schmid, K. Chatterjee, and S. Schmid, “The evolutionary price of anarchy:
    Locally bounded agents in a dynamic virus game,” in <i>Proceedings of the 23rd
    International Conference on Principles of Distributed Systems</i>, Neuchâtel,
    Switzerland, 2020, vol. 153.'
  ista: 'Schmid L, Chatterjee K, Schmid S. 2020. The evolutionary price of anarchy:
    Locally bounded agents in a dynamic virus game. Proceedings of the 23rd International
    Conference on Principles of Distributed Systems. OPODIS: International Conference
    on Principles of Distributed Systems, LIPIcs, vol. 153, 21.'
  mla: 'Schmid, Laura, et al. “The Evolutionary Price of Anarchy: Locally Bounded
    Agents in a Dynamic Virus Game.” <i>Proceedings of the 23rd International Conference
    on Principles of Distributed Systems</i>, vol. 153, 21, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2019.21">10.4230/LIPIcs.OPODIS.2019.21</a>.'
  short: L. Schmid, K. Chatterjee, S. Schmid, in:, Proceedings of the 23rd International
    Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2020.
conference:
  end_date: 2019-12-19
  location: Neuchâtel, Switzerland
  name: 'OPODIS: International Conference on Principles of Distributed Systems'
  start_date: 2019-12-17
date_created: 2020-01-21T16:00:26Z
date_published: 2020-02-10T00:00:00Z
date_updated: 2023-02-23T13:05:49Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.OPODIS.2019.21
external_id:
  arxiv:
  - '1906.00110'
file:
- access_level: open_access
  checksum: 9a91916ac2c21ab42458fcda39ef0b8d
  content_type: application/pdf
  creator: dernst
  date_created: 2020-03-23T09:14:06Z
  date_updated: 2020-07-14T12:47:56Z
  file_id: '7608'
  file_name: 2019_LIPIcS_Schmid.pdf
  file_size: 630752
  relation: main_file
file_date_updated: 2020-07-14T12:47:56Z
has_accepted_license: '1'
intvolume: '       153'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Proceedings of the 23rd International Conference on Principles of Distributed
  Systems
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The evolutionary price of anarchy: Locally bounded agents in a dynamic virus
  game'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 153
year: '2020'
...
---
_id: '15055'
abstract:
- lang: eng
  text: <jats:p>Markov decision processes (MDPs) are the defacto framework for sequential
    decision making in the presence of stochastic uncertainty. A classical optimization
    criterion for MDPs is to maximize the expected discounted-sum payoff, which ignores
    low probability catastrophic events with highly negative impact on the system.
    On the other hand, risk-averse policies require the probability of undesirable
    events to be below a given threshold, but they do not account for optimization
    of the expected payoff. We consider MDPs with discounted-sum payoff with failure
    states which represent catastrophic outcomes. The objective of risk-constrained
    planning is to maximize the expected discounted-sum payoff among risk-averse policies
    that ensure the probability to encounter a failure state is below a desired threshold.
    Our main contribution is an efficient risk-constrained planning algorithm that
    combines UCT-like search with a predictor learned through interaction with the
    MDP (in the style of AlphaZero) and with a risk-constrained action selection via
    linear programming. We demonstrate the effectiveness of our approach with experiments
    on classical MDPs from the literature, including benchmarks with an order of 106
    states.</jats:p>
acknowledgement: Krishnendu Chatterjee is supported by the Austrian Science Fund (FWF)
  NFN Grant No. S11407-N23 (RiSE/SHiNE), and COST Action GAMENET. Tomas Brazdil is
  supported by the Grant Agency of Masaryk University grant no. MUNI/G/0739/2017 and
  by the Czech Science Foundation grant No. 18-11193S. Petr Novotny and Jirı Vahala
  are supported by the Czech Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Petr
  full_name: Novotný, Petr
  last_name: Novotný
- first_name: Jiří
  full_name: Vahala, Jiří
  last_name: Vahala
citation:
  ama: Brázdil T, Chatterjee K, Novotný P, Vahala J. Reinforcement learning of risk-constrained
    policies in Markov decision processes. <i>Proceedings of the 34th AAAI Conference
    on Artificial Intelligence</i>. 2020;34(06):9794-9801. doi:<a href="https://doi.org/10.1609/aaai.v34i06.6531">10.1609/aaai.v34i06.6531</a>
  apa: 'Brázdil, T., Chatterjee, K., Novotný, P., &#38; Vahala, J. (2020). Reinforcement
    learning of risk-constrained policies in Markov decision processes. <i>Proceedings
    of the 34th AAAI Conference on Artificial Intelligence</i>. New York, NY, United
    States: Association for the Advancement of Artificial Intelligence. <a href="https://doi.org/10.1609/aaai.v34i06.6531">https://doi.org/10.1609/aaai.v34i06.6531</a>'
  chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Petr Novotný, and Jiří Vahala. “Reinforcement
    Learning of Risk-Constrained Policies in Markov Decision Processes.” <i>Proceedings
    of the 34th AAAI Conference on Artificial Intelligence</i>. Association for the
    Advancement of Artificial Intelligence, 2020. <a href="https://doi.org/10.1609/aaai.v34i06.6531">https://doi.org/10.1609/aaai.v34i06.6531</a>.
  ieee: T. Brázdil, K. Chatterjee, P. Novotný, and J. Vahala, “Reinforcement learning
    of risk-constrained policies in Markov decision processes,” <i>Proceedings of
    the 34th AAAI Conference on Artificial Intelligence</i>, vol. 34, no. 06. Association
    for the Advancement of Artificial Intelligence, pp. 9794–9801, 2020.
  ista: Brázdil T, Chatterjee K, Novotný P, Vahala J. 2020. Reinforcement learning
    of risk-constrained policies in Markov decision processes. Proceedings of the
    34th AAAI Conference on Artificial Intelligence. 34(06), 9794–9801.
  mla: Brázdil, Tomáš, et al. “Reinforcement Learning of Risk-Constrained Policies
    in Markov Decision Processes.” <i>Proceedings of the 34th AAAI Conference on Artificial
    Intelligence</i>, vol. 34, no. 06, Association for the Advancement of Artificial
    Intelligence, 2020, pp. 9794–801, doi:<a href="https://doi.org/10.1609/aaai.v34i06.6531">10.1609/aaai.v34i06.6531</a>.
  short: T. Brázdil, K. Chatterjee, P. Novotný, J. Vahala, Proceedings of the 34th
    AAAI Conference on Artificial Intelligence 34 (2020) 9794–9801.
conference:
  end_date: 2020-02-12
  location: New York, NY, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2020-02-07
date_created: 2024-03-04T08:07:22Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2024-03-04T08:30:16Z
day: '03'
department:
- _id: KrCh
doi: 10.1609/aaai.v34i06.6531
external_id:
  arxiv:
  - '2002.12086'
intvolume: '        34'
issue: '06'
keyword:
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2002.12086
month: '04'
oa: 1
oa_version: Preprint
page: 9794-9801
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the 34th AAAI Conference on Artificial Intelligence
publication_identifier:
  issn:
  - 2374-3468
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
status: public
title: Reinforcement learning of risk-constrained policies in Markov decision processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2020'
...
---
_id: '15082'
abstract:
- lang: eng
  text: "Two plane drawings of geometric graphs on the same set of points are called
    disjoint compatible if their union is plane and they do not have an edge in common.
    For a given set S of 2n points two plane drawings of perfect matchings M1 and
    M2 (which do not need to be disjoint nor compatible) are disjoint tree-compatible
    if there exists a plane drawing of a spanning tree T on S which is disjoint compatible
    to both M1 and M2.\r\nWe show that the graph of all disjoint tree-compatible perfect
    geometric matchings on 2n points in convex position is connected if and only if
    2n ≥ 10. Moreover, in that case the diameter\r\nof this graph is either 4 or 5,
    independent of n."
acknowledgement: Research on this work was initiated at the 6th Austrian-Japanese-Mexican-Spanish
  Workshop on Discrete Geometry and continued during the 16th European Geometric Graph-Week,
  both held near Strobl, Austria. We are grateful to the participants for the inspiring
  atmosphere. We especially thank Alexander Pilz for bringing this class of problems
  to our attention and Birgit Vogtenhuber for inspiring discussions. D.P. is partially
  supported by the FWF grant I 3340-N35 (Collaborative DACH project Arrangements and
  Drawings). The research stay of P.P. at IST Austria is funded by the project CZ.02.2.69/0.0/0.0/17_050/0008466
  Improvement of internationalization in the field of research and development at
  Charles University, through the support of quality projects MSCA-IF. This project
  has received funding from the European Union’s Horizon 2020 research and innovation
  programme under the Marie Skłodowska-Curie grant agreement No 734922.
article_number: '56'
article_processing_charge: No
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Julia
  full_name: Obmann, Julia
  last_name: Obmann
- first_name: Pavel
  full_name: Patak, Pavel
  id: B593B804-1035-11EA-B4F1-947645A5BB83
  last_name: Patak
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible
    plane perfect matchings. In: <i>36th European Workshop on Computational Geometry</i>.
    ; 2020.'
  apa: Aichholzer, O., Obmann, J., Patak, P., Perz, D., &#38; Tkadlec, J. (2020).
    Disjoint tree-compatible plane perfect matchings. In <i>36th European Workshop
    on Computational Geometry</i>. Würzburg, Germany, Virtual.
  chicago: Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec.
    “Disjoint Tree-Compatible Plane Perfect Matchings.” In <i>36th European Workshop
    on Computational Geometry</i>, 2020.
  ieee: O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible
    plane perfect matchings,” in <i>36th European Workshop on Computational Geometry</i>,
    Würzburg, Germany, Virtual, 2020.
  ista: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. 2020. Disjoint tree-compatible
    plane perfect matchings. 36th European Workshop on Computational Geometry. EuroCG:
    European Workshop on Computational Geometry, 56.'
  mla: Aichholzer, Oswin, et al. “Disjoint Tree-Compatible Plane Perfect Matchings.”
    <i>36th European Workshop on Computational Geometry</i>, 56, 2020.
  short: O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European
    Workshop on Computational Geometry, 2020.
conference:
  end_date: 2020-03-18
  location: Würzburg, Germany, Virtual
  name: 'EuroCG: European Workshop on Computational Geometry'
  start_date: 2020-03-16
date_created: 2024-03-05T08:57:17Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2024-03-05T09:00:07Z
day: '01'
department:
- _id: KrCh
- _id: UlWa
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www1.pub.informatik.uni-wuerzburg.de/eurocg2020/data/uploads/papers/eurocg20_paper_56.pdf
month: '04'
oa: 1
oa_version: Published Version
publication: 36th European Workshop on Computational Geometry
publication_status: published
quality_controlled: '1'
status: public
title: Disjoint tree-compatible plane perfect matchings
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '13060'
abstract:
- lang: eng
  text: Coinfections with multiple pathogens can result in complex within-host dynamics
    affecting virulence and transmission. Whilst multiple infections are intensively
    studied in solitary hosts, it is so far unresolved how social host interactions
    interfere with pathogen competition, and if this depends on coinfection diversity.
    We studied how the collective disease defenses of ants – their social immunity
    ­– influence pathogen competition in coinfections of same or different fungal
    pathogen species. Social immunity reduced virulence for all pathogen combinations,
    but interfered with spore production only in different-species coinfections. Here,
    it decreased overall pathogen sporulation success, whilst simultaneously increasing
    co-sporulation on individual cadavers and maintaining a higher pathogen diversity
    at the community-level. Mathematical modeling revealed that host sanitary care
    alone can modulate competitive outcomes between pathogens, giving advantage to
    fast-germinating, thus less grooming-sensitive ones. Host social interactions
    can hence modulate infection dynamics in coinfected group members, thereby altering
    pathogen communities at the host- and population-level.
article_processing_charge: No
author:
- first_name: Barbara
  full_name: Milutinovic, Barbara
  id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87
  last_name: Milutinovic
  orcid: 0000-0002-8214-4758
- first_name: Miriam
  full_name: Stock, Miriam
  id: 42462816-F248-11E8-B48F-1D18A9856A87
  last_name: Stock
- first_name: Anna V
  full_name: Grasse, Anna V
  id: 406F989C-F248-11E8-B48F-1D18A9856A87
  last_name: Grasse
- first_name: Elisabeth
  full_name: Naderlinger, Elisabeth
  id: 31757262-F248-11E8-B48F-1D18A9856A87
  last_name: Naderlinger
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Sylvia
  full_name: Cremer, Sylvia
  id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
  last_name: Cremer
  orcid: 0000-0002-2193-3868
citation:
  ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social
    immunity modulates competition between coinfecting pathogens. 2020. doi:<a href="https://doi.org/10.5061/DRYAD.CRJDFN318">10.5061/DRYAD.CRJDFN318</a>
  apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., &#38;
    Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens.
    Dryad. <a href="https://doi.org/10.5061/DRYAD.CRJDFN318">https://doi.org/10.5061/DRYAD.CRJDFN318</a>
  chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger,
    Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between
    Coinfecting Pathogens.” Dryad, 2020. <a href="https://doi.org/10.5061/DRYAD.CRJDFN318">https://doi.org/10.5061/DRYAD.CRJDFN318</a>.
  ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer,
    “Social immunity modulates competition between coinfecting pathogens.” Dryad,
    2020.
  ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020.
    Social immunity modulates competition between coinfecting pathogens, Dryad, <a
    href="https://doi.org/10.5061/DRYAD.CRJDFN318">10.5061/DRYAD.CRJDFN318</a>.
  mla: Milutinovic, Barbara, et al. <i>Social Immunity Modulates Competition between
    Coinfecting Pathogens</i>. Dryad, 2020, doi:<a href="https://doi.org/10.5061/DRYAD.CRJDFN318">10.5061/DRYAD.CRJDFN318</a>.
  short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer,
    (2020).
date_created: 2023-05-23T16:11:22Z
date_published: 2020-12-19T00:00:00Z
date_updated: 2023-09-05T16:04:48Z
day: '19'
ddc:
- '570'
department:
- _id: SyCr
- _id: KrCh
doi: 10.5061/DRYAD.CRJDFN318
license: https://creativecommons.org/publicdomain/zero/1.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5061/dryad.crjdfn318
month: '12'
oa: 1
oa_version: Published Version
publisher: Dryad
related_material:
  record:
  - id: '7343'
    relation: used_in_publication
    status: public
status: public
title: Social immunity modulates competition between coinfecting pathogens
tmp:
  image: /images/cc_0.png
  legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
  name: Creative Commons Public Domain Dedication (CC0 1.0)
  short: CC0 (1.0)
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
