---
_id: '2035'
abstract:
- lang: eng
text: "Considering a continuous self-map and the induced endomorphism on homology,
we study the eigenvalues and eigenspaces of the latter. Taking a filtration of
representations, we define the persistence of the eigenspaces, effectively introducing
a hierarchical organization of the map. The algorithm that computes this information
for a finite sample is proved to be stable, and to give the correct answer for
a sufficiently dense sample. Results computed with an implementation of the algorithm
provide evidence of its practical utility.\r\n"
acknowledgement: This research is partially supported by the Toposys project FP7-ICT-318493-STREP,
by ESF under the ACAT Research Network Programme, by the Russian Government under
mega project 11.G34.31.0053, and by the Polish National Science Center under Grant
No. N201 419639.
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Grzegorz
full_name: Jablonski, Grzegorz
id: 4483EF78-F248-11E8-B48F-1D18A9856A87
last_name: Jablonski
orcid: 0000-0002-3536-9866
- first_name: Marian
full_name: Mrozek, Marian
last_name: Mrozek
citation:
ama: Edelsbrunner H, Jablonski G, Mrozek M. The persistent homology of a self-map.
Foundations of Computational Mathematics. 2015;15(5):1213-1244. doi:10.1007/s10208-014-9223-y
apa: Edelsbrunner, H., Jablonski, G., & Mrozek, M. (2015). The persistent homology
of a self-map. Foundations of Computational Mathematics. Springer. https://doi.org/10.1007/s10208-014-9223-y
chicago: Edelsbrunner, Herbert, Grzegorz Jablonski, and Marian Mrozek. “The Persistent
Homology of a Self-Map.” Foundations of Computational Mathematics. Springer,
2015. https://doi.org/10.1007/s10208-014-9223-y.
ieee: H. Edelsbrunner, G. Jablonski, and M. Mrozek, “The persistent homology of
a self-map,” Foundations of Computational Mathematics, vol. 15, no. 5.
Springer, pp. 1213–1244, 2015.
ista: Edelsbrunner H, Jablonski G, Mrozek M. 2015. The persistent homology of a
self-map. Foundations of Computational Mathematics. 15(5), 1213–1244.
mla: Edelsbrunner, Herbert, et al. “The Persistent Homology of a Self-Map.” Foundations
of Computational Mathematics, vol. 15, no. 5, Springer, 2015, pp. 1213–44,
doi:10.1007/s10208-014-9223-y.
short: H. Edelsbrunner, G. Jablonski, M. Mrozek, Foundations of Computational Mathematics
15 (2015) 1213–1244.
date_created: 2018-12-11T11:55:20Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2021-01-12T06:54:53Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/s10208-014-9223-y
ec_funded: 1
file:
- access_level: open_access
checksum: 3566f3a8b0c1bc550e62914a88c584ff
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:10Z
date_updated: 2020-07-14T12:45:26Z
file_id: '4670'
file_name: IST-2016-486-v1+1_s10208-014-9223-y.pdf
file_size: 1317546
relation: main_file
file_date_updated: 2020-07-14T12:45:26Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '5'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '10'
oa: 1
oa_version: Published Version
page: 1213 - 1244
project:
- _id: 255D761E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '318493'
name: Topological Complex Systems
publication: Foundations of Computational Mathematics
publication_status: published
publisher: Springer
publist_id: '5022'
pubrep_id: '486'
quality_controlled: '1'
scopus_import: 1
status: public
title: The persistent homology of a self-map
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: 15
year: '2015'
...
---
_id: '2085'
abstract:
- lang: eng
text: 'We study the spectrum of a large system of N identical bosons interacting
via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov''s
theory predicts that the spectrum of the N-particle Hamiltonian can be approximated
by that of an effective quadratic Hamiltonian acting on Fock space, which describes
the fluctuations around a condensed state. Recently, Bogoliubov''s theory has
been justified rigorously in the case that the low-energy eigenvectors of the
N-particle Hamiltonian display complete condensation in the unique minimizer of
the corresponding Hartree functional. In this paper, we shall justify Bogoliubov''s
theory for the high-energy part of the spectrum of the N-particle Hamiltonian
corresponding to (non-linear) excited states of the Hartree functional. Moreover,
we shall extend the existing results on the excitation spectrum to the case of
non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the
latter covers the case of rotating Bose gases, when the rotation speed is large
enough to break the symmetry and to produce multiple quantized vortices in the
Hartree minimizer. '
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417.
doi:10.1007/s00205-014-0781-6
apa: Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in
the mean-field regime. Archive for Rational Mechanics and Analysis. Springer.
https://doi.org/10.1007/s00205-014-0781-6
chicago: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases
in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis.
Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
ieee: P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field
regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2.
Springer, pp. 381–417, 2015.
ista: Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
mla: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the
Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215,
no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
short: P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015)
381–417.
date_created: 2018-12-11T11:55:37Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:13Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-014-0781-6
intvolume: ' 215'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1402.1153
month: '02'
oa: 1
oa_version: Preprint
page: 381 - 417
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '4951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Collective excitations of Bose gases in the mean-field regime
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 215
year: '2015'
...
---
_id: '2166'
abstract:
- lang: eng
text: 'We consider the spectral statistics of large random band matrices on mesoscopic
energy scales. We show that the correlation function of the local eigenvalue density
exhibits a universal power law behaviour that differs from the Wigner-Dyson- Mehta
statistics. This law had been predicted in the physics literature by Altshuler
and Shklovskii in (Zh Eksp Teor Fiz (Sov Phys JETP) 91(64):220(127), 1986); it
describes the correlations of the eigenvalue density in general metallic sampleswith
weak disorder. Our result rigorously establishes the Altshuler-Shklovskii formulas
for band matrices. In two dimensions, where the leading term vanishes owing to
an algebraic cancellation, we identify the first non-vanishing term and show that
it differs substantially from the prediction of Kravtsov and Lerner in (Phys Rev
Lett 74:2563-2566, 1995). The proof is given in the current paper and its companion
(Ann. H. Poincaré. arXiv:1309.5107, 2014). '
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Antti
full_name: Knowles, Antti
last_name: Knowles
citation:
ama: 'Erdös L, Knowles A. The Altshuler-Shklovskii formulas for random band matrices
I: the unimodular case. Communications in Mathematical Physics. 2015;333(3):1365-1416.
doi:10.1007/s00220-014-2119-5'
apa: 'Erdös, L., & Knowles, A. (2015). The Altshuler-Shklovskii formulas for
random band matrices I: the unimodular case. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-014-2119-5'
chicago: 'Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for
Random Band Matrices I: The Unimodular Case.” Communications in Mathematical
Physics. Springer, 2015. https://doi.org/10.1007/s00220-014-2119-5.'
ieee: 'L. Erdös and A. Knowles, “The Altshuler-Shklovskii formulas for random band
matrices I: the unimodular case,” Communications in Mathematical Physics,
vol. 333, no. 3. Springer, pp. 1365–1416, 2015.'
ista: 'Erdös L, Knowles A. 2015. The Altshuler-Shklovskii formulas for random band
matrices I: the unimodular case. Communications in Mathematical Physics. 333(3),
1365–1416.'
mla: 'Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random
Band Matrices I: The Unimodular Case.” Communications in Mathematical Physics,
vol. 333, no. 3, Springer, 2015, pp. 1365–416, doi:10.1007/s00220-014-2119-5.'
short: L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
date_created: 2018-12-11T11:56:05Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:43Z
day: '01'
department:
- _id: LaEr
doi: 10.1007/s00220-014-2119-5
intvolume: ' 333'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1309.5106
month: '02'
oa: 1
oa_version: Preprint
page: 1365 - 1416
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4818'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The Altshuler-Shklovskii formulas for random band matrices I: the unimodular
case'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 333
year: '2015'
...
---
_id: '2271'
abstract:
- lang: eng
text: "A class of valued constraint satisfaction problems (VCSPs) is characterised
by a valued constraint language, a fixed set of cost functions on a finite domain.
Finite-valued constraint languages contain functions that take on rational costs
and general-valued constraint languages contain functions that take on rational
or infinite costs. An instance of the problem is specified by a sum of functions
from the language with the goal to minimise the sum. This framework includes and
generalises well-studied constraint satisfaction problems (CSPs) and maximum constraint
satisfaction problems (Max-CSPs).\r\nOur main result is a precise algebraic characterisation
of valued constraint languages whose instances can be solved exactly by the basic
linear programming relaxation (BLP). For a general-valued constraint language
Γ, BLP is a decision procedure for Γ if and only if Γ admits a symmetric fractional
polymorphism of every arity. For a finite-valued constraint language Γ, BLP is
a decision procedure if and only if Γ admits a symmetric fractional polymorphism
of some arity, or equivalently, if Γ admits a symmetric fractional polymorphism
of arity 2.\r\nUsing these results, we obtain tractability of several novel and
previously widely-open classes of VCSPs, including problems over valued constraint
languages that are: (1) submodular on arbitrary lattices; (2) bisubmodular (also
known as k-submodular) on arbitrary finite domains; (3) weakly (and hence strongly)
tree-submodular on arbitrary trees. "
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Johan
full_name: Thapper, Johan
last_name: Thapper
- first_name: Stanislav
full_name: Živný, Stanislav
last_name: Živný
citation:
ama: Kolmogorov V, Thapper J, Živný S. The power of linear programming for general-valued
CSPs. SIAM Journal on Computing. 2015;44(1):1-36. doi:10.1137/130945648
apa: Kolmogorov, V., Thapper, J., & Živný, S. (2015). The power of linear programming
for general-valued CSPs. SIAM Journal on Computing. SIAM. https://doi.org/10.1137/130945648
chicago: Kolmogorov, Vladimir, Johan Thapper, and Stanislav Živný. “The Power of
Linear Programming for General-Valued CSPs.” SIAM Journal on Computing.
SIAM, 2015. https://doi.org/10.1137/130945648.
ieee: V. Kolmogorov, J. Thapper, and S. Živný, “The power of linear programming
for general-valued CSPs,” SIAM Journal on Computing, vol. 44, no. 1. SIAM,
pp. 1–36, 2015.
ista: Kolmogorov V, Thapper J, Živný S. 2015. The power of linear programming for
general-valued CSPs. SIAM Journal on Computing. 44(1), 1–36.
mla: Kolmogorov, Vladimir, et al. “The Power of Linear Programming for General-Valued
CSPs.” SIAM Journal on Computing, vol. 44, no. 1, SIAM, 2015, pp. 1–36,
doi:10.1137/130945648.
short: V. Kolmogorov, J. Thapper, S. Živný, SIAM Journal on Computing 44 (2015)
1–36.
date_created: 2018-12-11T11:56:41Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2023-02-23T10:46:30Z
day: '01'
department:
- _id: VlKo
doi: 10.1137/130945648
external_id:
arxiv:
- '1311.4219'
intvolume: ' 44'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1311.4219
month: '02'
oa: 1
oa_version: Preprint
page: 1 - 36
publication: SIAM Journal on Computing
publication_status: published
publisher: SIAM
publist_id: '4673'
quality_controlled: '1'
related_material:
record:
- id: '2518'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: The power of linear programming for general-valued CSPs
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 44
year: '2015'
...
---
_id: '6736'
abstract:
- lang: eng
text: Motivated by the significant performance gains which polar codes experience
under successive cancellation list decoding, their scaling exponent is studied
as a function of the list size. In particular, the error probability is fixed,
and the tradeoff between the block length and back-off from capacity is analyzed.
A lower bound is provided on the error probability under MAP decoding with list
size L for any binary-input memoryless output-symmetric channel and for any class
of linear codes such that their minimum distance is unbounded as the block length
grows large. Then, it is shown that under MAP decoding, although the introduction
of a list can significantly improve the involved constants, the scaling exponent
itself, i.e., the speed at which capacity is approached, stays unaffected for
any finite list size. In particular, this result applies to polar codes, since
their minimum distance tends to infinity as the block length increases. A similar
result is proved for genie-aided successive cancellation decoding when transmission
takes place over the binary erasure channel, namely, the scaling exponent remains
constant for any fixed number of helps from the genie. Note that since genie-aided
successive cancellation decoding might be strictly worse than successive cancellation
list decoding, the problem of establishing the scaling exponent of the latter
remains open.
arxiv: 1
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Hamed
full_name: Hassani, Hamed
last_name: Hassani
- first_name: Rudiger
full_name: Urbanke, Rudiger
last_name: Urbanke
citation:
ama: Mondelli M, Hassani H, Urbanke R. Scaling exponent of list decoders with applications
to polar codes. IEEE Transactions on Information Theory. 2015;61(9):4838-4851.
doi:10.1109/tit.2015.2453315
apa: Mondelli, M., Hassani, H., & Urbanke, R. (2015). Scaling exponent of list
decoders with applications to polar codes. IEEE Transactions on Information
Theory. IEEE. https://doi.org/10.1109/tit.2015.2453315
chicago: Mondelli, Marco, Hamed Hassani, and Rudiger Urbanke. “Scaling Exponent
of List Decoders with Applications to Polar Codes.” IEEE Transactions on Information
Theory. IEEE, 2015. https://doi.org/10.1109/tit.2015.2453315.
ieee: M. Mondelli, H. Hassani, and R. Urbanke, “Scaling exponent of list decoders
with applications to polar codes,” IEEE Transactions on Information Theory,
vol. 61, no. 9. IEEE, pp. 4838–4851, 2015.
ista: Mondelli M, Hassani H, Urbanke R. 2015. Scaling exponent of list decoders
with applications to polar codes. IEEE Transactions on Information Theory. 61(9),
4838–4851.
mla: Mondelli, Marco, et al. “Scaling Exponent of List Decoders with Applications
to Polar Codes.” IEEE Transactions on Information Theory, vol. 61, no.
9, IEEE, 2015, pp. 4838–51, doi:10.1109/tit.2015.2453315.
short: M. Mondelli, H. Hassani, R. Urbanke, IEEE Transactions on Information Theory
61 (2015) 4838–4851.
date_created: 2019-07-31T06:50:34Z
date_published: 2015-09-01T00:00:00Z
date_updated: 2021-01-12T08:08:45Z
day: '01'
doi: 10.1109/tit.2015.2453315
extern: '1'
external_id:
arxiv:
- '1304.5220'
intvolume: ' 61'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1304.5220
month: '09'
oa: 1
oa_version: Preprint
page: 4838-4851
publication: IEEE Transactions on Information Theory
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Scaling exponent of list decoders with applications to polar codes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2015'
...
---
_id: '6737'
abstract:
- lang: eng
text: This paper presents polar coding schemes for the two-user discrete memoryless
broadcast channel (DM-BC) which achieve Marton's region with both common and private
messages. This is the best achievable rate region known to date, and it is tight
for all classes of two-user DM-BCs whose capacity regions are known. To accomplish
this task, we first construct polar codes for both the superposition as well as
binning strategy. By combining these two schemes, we obtain Marton's region with
private messages only. Finally, we show how to handle the case of common information.
The proposed coding schemes possess the usual advantages of polar codes, i.e.,
they have low encoding and decoding complexity and a superpolynomial decay rate
of the error probability. We follow the lead of Goela, Abbe, and Gastpar, who
recently introduced polar codes emulating the superposition and binning schemes.
To align the polar indices, for both schemes, their solution involves some degradedness
constraints that are assumed to hold between the auxiliary random variables and
channel outputs. To remove these constraints, we consider the transmission of
k blocks and employ a chaining construction that guarantees the proper alignment
of the polarized indices. The techniques described in this paper are quite general,
and they can be adopted to many other multiterminal scenarios whenever there polar
indices need to be aligned.
arxiv: 1
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Hamed
full_name: Hassani, Hamed
last_name: Hassani
- first_name: Igal
full_name: Sason, Igal
last_name: Sason
- first_name: Rudiger
full_name: Urbanke, Rudiger
last_name: Urbanke
citation:
ama: Mondelli M, Hassani H, Sason I, Urbanke R. Achieving Marton’s region for broadcast
channels using polar codes. IEEE Transactions on Information Theory. 2015;61(2):783-800.
doi:10.1109/tit.2014.2368555
apa: Mondelli, M., Hassani, H., Sason, I., & Urbanke, R. (2015). Achieving Marton’s
region for broadcast channels using polar codes. IEEE Transactions on Information
Theory. IEEE. https://doi.org/10.1109/tit.2014.2368555
chicago: Mondelli, Marco, Hamed Hassani, Igal Sason, and Rudiger Urbanke. “Achieving
Marton’s Region for Broadcast Channels Using Polar Codes.” IEEE Transactions
on Information Theory. IEEE, 2015. https://doi.org/10.1109/tit.2014.2368555.
ieee: M. Mondelli, H. Hassani, I. Sason, and R. Urbanke, “Achieving Marton’s region
for broadcast channels using polar codes,” IEEE Transactions on Information
Theory, vol. 61, no. 2. IEEE, pp. 783–800, 2015.
ista: Mondelli M, Hassani H, Sason I, Urbanke R. 2015. Achieving Marton’s region
for broadcast channels using polar codes. IEEE Transactions on Information Theory.
61(2), 783–800.
mla: Mondelli, Marco, et al. “Achieving Marton’s Region for Broadcast Channels Using
Polar Codes.” IEEE Transactions on Information Theory, vol. 61, no. 2,
IEEE, 2015, pp. 783–800, doi:10.1109/tit.2014.2368555.
short: M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information
Theory 61 (2015) 783–800.
date_created: 2019-07-31T07:03:38Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T08:08:46Z
day: '01'
doi: 10.1109/tit.2014.2368555
extern: '1'
external_id:
arxiv:
- '1401.6060'
intvolume: ' 61'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1401.6060
month: '02'
oa: 1
oa_version: Preprint
page: 783-800
publication: IEEE Transactions on Information Theory
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Achieving Marton’s region for broadcast channels using polar codes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2015'
...
---
_id: '7739'
abstract:
- lang: eng
text: Currently, there is much debate on the genetic architecture of quantitative
traits in wild populations. Is trait variation influenced by many genes of small
effect or by a few genes of major effect? Where is additive genetic variation
located in the genome? Do the same loci cause similar phenotypic variation in
different populations? Great tits (Parus major) have been studied extensively
in long‐term studies across Europe and consequently are considered an ecological
‘model organism’. Recently, genomic resources have been developed for the great
tit, including a custom SNP chip and genetic linkage map. In this study, we used
a suite of approaches to investigate the genetic architecture of eight quantitative
traits in two long‐term study populations of great tits—one in the Netherlands
and the other in the United Kingdom. Overall, we found little evidence for the
presence of genes of large effects in either population. Instead, traits appeared
to be influenced by many genes of small effect, with conservative estimates of
the number of contributing loci ranging from 31 to 310. Despite concordance between
population‐specific heritabilities, we found no evidence for the presence of loci
having similar effects in both populations. While population‐specific genetic
architectures are possible, an undetected shared architecture cannot be rejected
because of limited power to map loci of small and moderate effects. This study
is one of few examples of genetic architecture analysis in replicated wild populations
and highlights some of the challenges and limitations researchers will face when
attempting similar molecular quantitative genetic studies in free‐living populations.
article_processing_charge: No
article_type: original
author:
- first_name: Anna W.
full_name: Santure, Anna W.
last_name: Santure
- first_name: Jocelyn
full_name: Poissant, Jocelyn
last_name: Poissant
- first_name: Isabelle
full_name: De Cauwer, Isabelle
last_name: De Cauwer
- first_name: Kees
full_name: van Oers, Kees
last_name: van Oers
- first_name: Matthew Richard
full_name: Robinson, Matthew Richard
id: E5D42276-F5DA-11E9-8E24-6303E6697425
last_name: Robinson
orcid: 0000-0001-8982-8813
- first_name: John L.
full_name: Quinn, John L.
last_name: Quinn
- first_name: Martien A. M.
full_name: Groenen, Martien A. M.
last_name: Groenen
- first_name: Marcel E.
full_name: Visser, Marcel E.
last_name: Visser
- first_name: Ben C.
full_name: Sheldon, Ben C.
last_name: Sheldon
- first_name: Jon
full_name: Slate, Jon
last_name: Slate
citation:
ama: Santure AW, Poissant J, De Cauwer I, et al. Replicated analysis of the genetic
architecture of quantitative traits in two wild great tit populations. Molecular
Ecology. 2015;24:6148-6162. doi:10.1111/mec.13452
apa: Santure, A. W., Poissant, J., De Cauwer, I., van Oers, K., Robinson, M. R.,
Quinn, J. L., … Slate, J. (2015). Replicated analysis of the genetic architecture
of quantitative traits in two wild great tit populations. Molecular Ecology.
Wiley. https://doi.org/10.1111/mec.13452
chicago: Santure, Anna W., Jocelyn Poissant, Isabelle De Cauwer, Kees van Oers,
Matthew Richard Robinson, John L. Quinn, Martien A. M. Groenen, Marcel E. Visser,
Ben C. Sheldon, and Jon Slate. “Replicated Analysis of the Genetic Architecture
of Quantitative Traits in Two Wild Great Tit Populations.” Molecular Ecology.
Wiley, 2015. https://doi.org/10.1111/mec.13452.
ieee: A. W. Santure et al., “Replicated analysis of the genetic architecture
of quantitative traits in two wild great tit populations,” Molecular Ecology,
vol. 24. Wiley, pp. 6148–6162, 2015.
ista: Santure AW, Poissant J, De Cauwer I, van Oers K, Robinson MR, Quinn JL, Groenen
MAM, Visser ME, Sheldon BC, Slate J. 2015. Replicated analysis of the genetic
architecture of quantitative traits in two wild great tit populations. Molecular
Ecology. 24, 6148–6162.
mla: Santure, Anna W., et al. “Replicated Analysis of the Genetic Architecture of
Quantitative Traits in Two Wild Great Tit Populations.” Molecular Ecology,
vol. 24, Wiley, 2015, pp. 6148–62, doi:10.1111/mec.13452.
short: A.W. Santure, J. Poissant, I. De Cauwer, K. van Oers, M.R. Robinson, J.L.
Quinn, M.A.M. Groenen, M.E. Visser, B.C. Sheldon, J. Slate, Molecular Ecology
24 (2015) 6148–6162.
date_created: 2020-04-30T10:51:01Z
date_published: 2015-12-10T00:00:00Z
date_updated: 2021-01-12T08:15:12Z
day: '10'
doi: 10.1111/mec.13452
extern: '1'
intvolume: ' 24'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1111/mec.13452
month: '12'
oa: 1
oa_version: Published Version
page: 6148-6162
publication: Molecular Ecology
publication_identifier:
issn:
- 0962-1083
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Replicated analysis of the genetic architecture of quantitative traits in two
wild great tit populations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2015'
...
---
_id: '7741'
abstract:
- lang: eng
text: Phenotypes expressed in a social context are not only a function of the individual,
but can also be shaped by the phenotypes of social partners. These social effects
may play a major role in the evolution of cooperative breeding if social partners
differ in the quality of care they provide and if individual carers adjust their
effort in relation to that of other carers. When applying social effects models
to wild study systems, it is also important to explore sources of individual plasticity
that could masquerade as social effects. We studied offspring provisioning rates
of parents and helpers in a wild population of long-tailed tits Aegithalos caudatus
using a quantitative genetic framework to identify these social effects and partition
them into genetic, permanent environment and current environment components. Controlling
for other effects, individuals were consistent in their provisioning effort at
a given nest, but adjusted their effort based on who was in their social group,
indicating the presence of social effects. However, these social effects differed
between years and social contexts, indicating a current environment effect, rather
than indicating a genetic or permanent environment effect. While this study reveals
the importance of examining environmental and genetic sources of social effects,
the framework we present is entirely general, enabling a greater understanding
of potentially important social effects within any ecological population.
article_number: '20150689'
article_processing_charge: No
article_type: original
author:
- first_name: Mark James
full_name: Adams, Mark James
last_name: Adams
- first_name: Matthew Richard
full_name: Robinson, Matthew Richard
id: E5D42276-F5DA-11E9-8E24-6303E6697425
last_name: Robinson
orcid: 0000-0001-8982-8813
- first_name: Maria-Elena
full_name: Mannarelli, Maria-Elena
last_name: Mannarelli
- first_name: Ben J.
full_name: Hatchwell, Ben J.
last_name: Hatchwell
citation:
ama: 'Adams MJ, Robinson MR, Mannarelli M-E, Hatchwell BJ. Social genetic and social
environment effects on parental and helper care in a cooperatively breeding bird.
Proceedings of the Royal Society B: Biological Sciences. 2015;282(1810).
doi:10.1098/rspb.2015.0689'
apa: 'Adams, M. J., Robinson, M. R., Mannarelli, M.-E., & Hatchwell, B. J. (2015).
Social genetic and social environment effects on parental and helper care in a
cooperatively breeding bird. Proceedings of the Royal Society B: Biological
Sciences. The Royal Society. https://doi.org/10.1098/rspb.2015.0689'
chicago: 'Adams, Mark James, Matthew Richard Robinson, Maria-Elena Mannarelli, and
Ben J. Hatchwell. “Social Genetic and Social Environment Effects on Parental and
Helper Care in a Cooperatively Breeding Bird.” Proceedings of the Royal Society
B: Biological Sciences. The Royal Society, 2015. https://doi.org/10.1098/rspb.2015.0689.'
ieee: 'M. J. Adams, M. R. Robinson, M.-E. Mannarelli, and B. J. Hatchwell, “Social
genetic and social environment effects on parental and helper care in a cooperatively
breeding bird,” Proceedings of the Royal Society B: Biological Sciences,
vol. 282, no. 1810. The Royal Society, 2015.'
ista: 'Adams MJ, Robinson MR, Mannarelli M-E, Hatchwell BJ. 2015. Social genetic
and social environment effects on parental and helper care in a cooperatively
breeding bird. Proceedings of the Royal Society B: Biological Sciences. 282(1810),
20150689.'
mla: 'Adams, Mark James, et al. “Social Genetic and Social Environment Effects on
Parental and Helper Care in a Cooperatively Breeding Bird.” Proceedings of
the Royal Society B: Biological Sciences, vol. 282, no. 1810, 20150689, The
Royal Society, 2015, doi:10.1098/rspb.2015.0689.'
short: 'M.J. Adams, M.R. Robinson, M.-E. Mannarelli, B.J. Hatchwell, Proceedings
of the Royal Society B: Biological Sciences 282 (2015).'
date_created: 2020-04-30T10:58:07Z
date_published: 2015-07-07T00:00:00Z
date_updated: 2021-01-12T08:15:12Z
day: '07'
doi: 10.1098/rspb.2015.0689
extern: '1'
external_id:
pmid:
- '26063846'
intvolume: ' 282'
issue: '1810'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1098/rspb.2015.0689
month: '07'
oa: 1
oa_version: Published Version
pmid: 1
publication: 'Proceedings of the Royal Society B: Biological Sciences'
publication_identifier:
issn:
- 0962-8452
- 1471-2954
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
status: public
title: Social genetic and social environment effects on parental and helper care in
a cooperatively breeding bird
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 282
year: '2015'
...
---
_id: '473'
abstract:
- lang: eng
text: We prove that nonlinear Gibbs measures can be obtained from the corresponding
many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where
the temperature T diverges and the interaction strength behaves as 1/T. We proceed
by characterizing the interacting Gibbs state as minimizing a functional counting
the free-energy relatively to the non-interacting case. We then perform an infinite-dimensional
analogue of phase-space semiclassical analysis, using fine properties of the quantum
relative entropy, the link between quantum de Finetti measures and upper/lower
symbols in a coherent state basis, as well as Berezin-Lieb type inequalities.
Our results cover the measure built on the defocusing nonlinear Schrödinger functional
on a finite interval, as well as smoother interactions in dimensions d 2.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Nam
full_name: Phan Thanh, Nam
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Phan Thanh
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body
quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2015;2:65-115.
doi:10.5802/jep.18
apa: Lewin, M., Nam, P., & Rougerie, N. (2015). Derivation of nonlinear gibbs
measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.18
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “Derivation of Nonlinear
Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique, 2015. https://doi.org/10.5802/jep.18.
ieee: M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures
from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques,
vol. 2. Ecole Polytechnique, pp. 65–115, 2015.
ista: Lewin M, Nam P, Rougerie N. 2015. Derivation of nonlinear gibbs measures from
many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques.
2, 65–115.
mla: Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body
Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol.
2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18.
short: M. Lewin, P. Nam, N. Rougerie, Journal de l’Ecole Polytechnique - Mathematiques
2 (2015) 65–115.
date_created: 2018-12-11T11:46:40Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:52Z
day: '01'
ddc:
- '539'
department:
- _id: RoSe
doi: 10.5802/jep.18
ec_funded: 1
file:
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checksum: a40eb4016717ddc9927154798a4c164a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:53Z
date_updated: 2020-07-14T12:46:35Z
file_id: '4974'
file_name: IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf
file_size: 1084254
relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 65 - 115
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de l'Ecole Polytechnique - Mathematiques
publication_status: published
publisher: Ecole Polytechnique
publist_id: '7344'
pubrep_id: '951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Derivation of nonlinear gibbs measures from many-body quantum mechanics
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2015'
...
---
_id: '523'
abstract:
- lang: eng
text: We consider two-player games played on weighted directed graphs with mean-payoff
and total-payoff objectives, two classical quantitative objectives. While for
single-dimensional games the complexity and memory bounds for both objectives
coincide, we show that in contrast to multi-dimensional mean-payoff games that
are known to be coNP-complete, multi-dimensional total-payoff games are undecidable.
We introduce conservative approximations of these objectives, where the payoff
is considered over a local finite window sliding along a play, instead of the
whole play. For single dimension, we show that (i) if the window size is polynomial,
deciding the winner takes polynomial time, and (ii) the existence of a bounded
window can be decided in NP ∩ coNP, and is at least as hard as solving mean-payoff
games. For multiple dimensions, we show that (i) the problem with fixed window
size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to
decide the existence of a bounded window.
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Mickael
full_name: Randour, Mickael
last_name: Randour
- first_name: Jean
full_name: Raskin, Jean
last_name: Raskin
citation:
ama: Chatterjee K, Doyen L, Randour M, Raskin J. Looking at mean-payoff and total-payoff
through windows. Information and Computation. 2015;242(6):25-52. doi:10.1016/j.ic.2015.03.010
apa: Chatterjee, K., Doyen, L., Randour, M., & Raskin, J. (2015). Looking at
mean-payoff and total-payoff through windows. Information and Computation.
Elsevier. https://doi.org/10.1016/j.ic.2015.03.010
chicago: Chatterjee, Krishnendu, Laurent Doyen, Mickael Randour, and Jean Raskin.
“Looking at Mean-Payoff and Total-Payoff through Windows.” Information and
Computation. Elsevier, 2015. https://doi.org/10.1016/j.ic.2015.03.010.
ieee: K. Chatterjee, L. Doyen, M. Randour, and J. Raskin, “Looking at mean-payoff
and total-payoff through windows,” Information and Computation, vol. 242,
no. 6. Elsevier, pp. 25–52, 2015.
ista: Chatterjee K, Doyen L, Randour M, Raskin J. 2015. Looking at mean-payoff and
total-payoff through windows. Information and Computation. 242(6), 25–52.
mla: Chatterjee, Krishnendu, et al. “Looking at Mean-Payoff and Total-Payoff through
Windows.” Information and Computation, vol. 242, no. 6, Elsevier, 2015,
pp. 25–52, doi:10.1016/j.ic.2015.03.010.
short: K. Chatterjee, L. Doyen, M. Randour, J. Raskin, Information and Computation
242 (2015) 25–52.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-03-24T00:00:00Z
date_updated: 2023-02-23T10:36:02Z
day: '24'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.010
ec_funded: 1
intvolume: ' 242'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1302.4248
month: '03'
oa: 1
oa_version: Preprint
page: 25 - 52
project:
- _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
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7296'
quality_controlled: '1'
related_material:
record:
- id: '2279'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Looking at mean-payoff and total-payoff through windows
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 242
year: '2015'
...
---
_id: '524'
abstract:
- lang: eng
text: 'We consider concurrent games played by two players on a finite-state graph,
where in every round the players simultaneously choose a move, and the current
state along with the joint moves determine the successor state. We study the most
fundamental objective for concurrent games, namely, mean-payoff or limit-average
objective, where a reward is associated to each transition, and the goal of player
1 is to maximize the long-run average of the rewards, and the objective of player
2 is strictly the opposite (i.e., the games are zero-sum). The path constraint
for player 1 could be qualitative, i.e., the mean-payoff is the maximal reward,
or arbitrarily close to it; or quantitative, i.e., a given threshold between the
minimal and maximal reward. We consider the computation of the almost-sure (resp.
positive) winning sets, where player 1 can ensure that the path constraint is
satisfied with probability 1 (resp. positive probability). Almost-sure winning
with qualitative constraint exactly corresponds to the question of whether there
exists a strategy to ensure that the payoff is the maximal reward of the game.
Our main results for qualitative path constraints are as follows: (1) we establish
qualitative determinacy results that show that for every state either player 1
has a strategy to ensure almost-sure (resp. positive) winning against all player-2
strategies, or player 2 has a spoiling strategy to falsify almost-sure (resp.
positive) winning against all player-1 strategies; (2) we present optimal strategy
complexity results that precisely characterize the classes of strategies required
for almost-sure and positive winning for both players; and (3) we present quadratic
time algorithms to compute the almost-sure and the positive winning sets, matching
the best known bound of the algorithms for much simpler problems (such as reachability
objectives). For quantitative constraints we show that a polynomial time solution
for the almost-sure or the positive winning set would imply a solution to a long-standing
open problem (of solving the value problem of turn-based deterministic mean-payoff
games) that is not known to be solvable in polynomial time.'
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
citation:
ama: Chatterjee K, Ibsen-Jensen R. Qualitative analysis of concurrent mean payoff
games. Information and Computation. 2015;242(6):2-24. doi:10.1016/j.ic.2015.03.009
apa: Chatterjee, K., & Ibsen-Jensen, R. (2015). Qualitative analysis of concurrent
mean payoff games. Information and Computation. Elsevier. https://doi.org/10.1016/j.ic.2015.03.009
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis
of Concurrent Mean Payoff Games.” Information and Computation. Elsevier,
2015. https://doi.org/10.1016/j.ic.2015.03.009.
ieee: K. Chatterjee and R. Ibsen-Jensen, “Qualitative analysis of concurrent mean
payoff games,” Information and Computation, vol. 242, no. 6. Elsevier,
pp. 2–24, 2015.
ista: Chatterjee K, Ibsen-Jensen R. 2015. Qualitative analysis of concurrent mean
payoff games. Information and Computation. 242(6), 2–24.
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis of Concurrent
Mean Payoff Games.” Information and Computation, vol. 242, no. 6, Elsevier,
2015, pp. 2–24, doi:10.1016/j.ic.2015.03.009.
short: K. Chatterjee, R. Ibsen-Jensen, Information and Computation 242 (2015) 2–24.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-10-11T00:00:00Z
date_updated: 2023-02-23T12:24:45Z
day: '11'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.009
external_id:
arxiv:
- '1409.5306'
intvolume: ' 242'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1409.5306
month: '10'
oa: 1
oa_version: Preprint
page: 2 - 24
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7295'
quality_controlled: '1'
related_material:
record:
- id: '5403'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Qualitative analysis of concurrent mean payoff games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 242
year: '2015'
...
---
_id: '5429'
abstract:
- lang: eng
text: "We consider Markov decision processes (MDPs) with multiple limit-average
(or mean-payoff) objectives. \r\nThere have been two different views: (i) the
expectation semantics, where the goal is to optimize the expected mean-payoff
objective, and (ii) the satisfaction semantics, where the goal is to maximize
the probability of runs such that the mean-payoff value stays above a given vector.
\ \r\nWe consider the problem where the goal is to optimize the expectation under
the constraint that the satisfaction semantics is ensured, and thus consider a
generalization that unifies the existing semantics.\r\nOur problem captures the
notion of optimization with respect to strategies that are risk-averse (i.e.,
ensures certain probabilistic guarantee).\r\nOur main results are algorithms for
the decision problem which are always polynomial in the size of the MDP. We also
show that an approximation of the Pareto-curve can be computed in time polynomial
in the size of the MDP, and the approximation factor, but exponential in the number
of dimensions.\r\nFinally, we present a complete characterization of the strategy
complexity (in terms of memory bounds and randomization) required to solve our
problem."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Zuzana
full_name: Komarkova, Zuzana
last_name: Komarkova
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
citation:
ama: Chatterjee K, Komarkova Z, Kretinsky J. Unifying Two Views on Multiple Mean-Payoff
Objectives in Markov Decision Processes. IST Austria; 2015. doi:10.15479/AT:IST-2015-318-v1-1
apa: Chatterjee, K., Komarkova, Z., & Kretinsky, J. (2015). Unifying two
views on multiple mean-payoff objectives in Markov decision processes. IST
Austria. https://doi.org/10.15479/AT:IST-2015-318-v1-1
chicago: Chatterjee, Krishnendu, Zuzana Komarkova, and Jan Kretinsky. Unifying
Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-318-v1-1.
ieee: K. Chatterjee, Z. Komarkova, and J. Kretinsky, Unifying two views on multiple
mean-payoff objectives in Markov decision processes. IST Austria, 2015.
ista: Chatterjee K, Komarkova Z, Kretinsky J. 2015. Unifying two views on multiple
mean-payoff objectives in Markov decision processes, IST Austria, 41p.
mla: Chatterjee, Krishnendu, et al. Unifying Two Views on Multiple Mean-Payoff
Objectives in Markov Decision Processes. IST Austria, 2015, doi:10.15479/AT:IST-2015-318-v1-1.
short: K. Chatterjee, Z. Komarkova, J. Kretinsky, Unifying Two Views on Multiple
Mean-Payoff Objectives in Markov Decision Processes, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-01-12T00:00:00Z
date_updated: 2023-02-23T12:26:16Z
day: '12'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-318-v1-1
file:
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month: '01'
oa: 1
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page: '41'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '318'
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relation: later_version
status: public
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5430'
abstract:
- lang: eng
text: We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean- payoff
property, the ratio property, and the minimum initial credit for energy property.
The algorithmic problem given a graph and a quantitative property asks to compute
the optimal value (the infimum value over all traces) from every node of the graph.
We consider graphs with constant treewidth, and it is well-known that the control-flow
graphs of most programs have constant treewidth. Let n denote the number of nodes
of a graph, m the number of edges (for constant treewidth graphs m = O ( n ) )
and W the largest absolute value of the weights. Our main theoretical results
are as follows. First, for constant treewidth graphs we present an algorithm that
approximates the mean-payoff value within a mul- tiplicative factor of ∊ in time
O ( n · log( n/∊ )) and linear space, as compared to the classical algorithms
that require quadratic time. Second, for the ratio property we present an algorithm
that for constant treewidth graphs works in time O ( n · log( | a · b · n | ))
= O ( n · log( n · W )) , when the output is a b , as compared to the previously
best known algorithm with running time O ( n 2 · log( n · W )) . Third, for the
minimum initial credit problem we show that (i) for general graphs the problem
can be solved in O ( n 2 · m ) time and the associated decision problem can be
solved in O ( n · m ) time, improving the previous known O ( n 3 · m · log( n
· W )) and O ( n 2 · m ) bounds, respectively; and (ii) for constant treewidth
graphs we present an algorithm that requires O ( n · log n ) time, improving the
previous known O ( n 4 · log( n · W )) bound. We have implemented some of our
algorithms and show that they present a significant speedup on standard benchmarks.
alternative_title:
- IST Austria Technical Report
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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-319-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2015). Faster
algorithms for quantitative verification in constant treewidth graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2015-319-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-319-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Faster algorithms
for quantitative verification in constant treewidth graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
quantitative verification in constant treewidth graphs, IST Austria, 31p.
mla: Chatterjee, Krishnendu, et al. Faster Algorithms for Quantitative Verification
in Constant Treewidth Graphs. IST Austria, 2015, doi:10.15479/AT:IST-2015-319-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-10T00:00:00Z
date_updated: 2023-02-23T12:26:22Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-319-v1-1
file:
- access_level: open_access
checksum: 62c6ea01e342553dcafb88a070fb1ad5
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:21Z
date_updated: 2020-07-14T12:46:52Z
file_id: '5482'
file_name: IST-2015-319-v1+1_long.pdf
file_size: 1089651
relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '31'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '319'
related_material:
record:
- id: '1607'
relation: later_version
status: public
- id: '5437'
relation: later_version
status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5431'
abstract:
- lang: eng
text: "We consider finite-state concurrent stochastic games, played by k>=2 players
for an infinite number of rounds, where in every round, each player simultaneously
and independently of the other players chooses an action, whereafter the successor
state is determined by a probability distribution given by the current state and
the chosen actions. We consider reachability objectives that given a target set
of states require that some state in the target set is visited, and the dual safety
objectives that given a target set require that only states in the target set
are visited. We are interested in the complexity of stationary strategies measured
by their patience, which is defined as the inverse of the smallest non-zero probability
employed.\r\n\r\n Our main results are as follows: We show that in two-player
zero-sum concurrent stochastic games (with reachability objective for one player
and the complementary safety objective for the other player): (i) the optimal
bound on the patience of optimal and epsilon-optimal strategies, for both players
is doubly exponential; and (ii) even in games with a single non-absorbing state
exponential (in the number of actions) patience is necessary. In general we study
the class of non-zero-sum games admitting epsilon-Nash equilibria. We show that
if there is at least one player with reachability objective, then doubly-exponential
patience is needed in general for epsilon-Nash equilibrium strategies, whereas
in contrast if all players have safety objectives, then the optimal bound on patience
for epsilon-Nash equilibrium strategies is only exponential."
alternative_title:
- IST Austria Technical Report
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: Kristoffer
full_name: Hansen, Kristoffer
last_name: Hansen
citation:
ama: Chatterjee K, Ibsen-Jensen R, Hansen K. The Patience of Concurrent Stochastic
Games with Safety and Reachability Objectives. IST Austria; 2015. doi:10.15479/AT:IST-2015-322-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Hansen, K. (2015). The patience
of concurrent stochastic games with safety and reachability objectives. IST
Austria. https://doi.org/10.15479/AT:IST-2015-322-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Kristoffer Hansen. The
Patience of Concurrent Stochastic Games with Safety and Reachability Objectives.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-322-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and K. Hansen, The patience of concurrent
stochastic games with safety and reachability objectives. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Hansen K. 2015. The patience of concurrent stochastic
games with safety and reachability objectives, IST Austria, 25p.
mla: Chatterjee, Krishnendu, et al. The Patience of Concurrent Stochastic Games
with Safety and Reachability Objectives. IST Austria, 2015, doi:10.15479/AT:IST-2015-322-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, K. Hansen, The Patience of Concurrent Stochastic
Games with Safety and Reachability Objectives, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2021-01-12T08:02:13Z
day: '19'
ddc:
- '005'
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-322-v1-1
file:
- access_level: open_access
checksum: bfb858262c30445b8e472c40069178a2
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:31Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5491'
file_name: IST-2015-322-v1+1_safetygames.pdf
file_size: 661015
relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '322'
status: public
title: The patience of concurrent stochastic games with safety and reachability objectives
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5432'
abstract:
- lang: eng
text: "Evolution occurs in populations of reproducing individuals. The structure
of the population affects the outcome of the evolutionary process. Evolutionary
graph theory is a powerful approach to study this phenomenon. There are two graphs.
The interaction graph specifies who interacts with whom in the context of evolution.The
replacement graph specifies who competes with whom for reproduction. \r\nThe vertices
of the two graphs are the same, and each vertex corresponds to an individual of
the population. A key quantity is the fixation probability of a new mutant. It
is defined as the probability that a newly introduced mutant (on a single vertex)
generates a lineage of offspring which eventually takes over the entire population
of resident individuals. The basic computational questions are as follows: (i)
the qualitative question asks whether the fixation probability is positive; and
(ii) the quantitative approximation question asks for an approximation of the
fixation probability. \r\nOur main results are:\r\n(1) We show that the qualitative
question is NP-complete and the quantitative approximation question is #P-hard
in the special case when the interaction and the replacement graphs coincide and
even with the restriction that the resident individuals do not reproduce (which
corresponds to an invading population taking over an empty structure).\r\n(2)
We show that in general the qualitative question is PSPACE-complete and the quantitative
approximation question is PSPACE-hard and can be solved in exponential time.\r\n"
alternative_title:
- IST Austria Technical Report
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: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Chatterjee K, Ibsen-Jensen R, Nowak M. The Complexity of Evolutionary Games
on Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-323-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2015). The complexity
of evolutionary games on graphs. IST Austria. https://doi.org/10.15479/AT:IST-2015-323-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. The Complexity
of Evolutionary Games on Graphs. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-323-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, The complexity of evolutionary
games on graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
games on graphs, IST Austria, 29p.
mla: Chatterjee, Krishnendu, et al. The Complexity of Evolutionary Games on Graphs.
IST Austria, 2015, doi:10.15479/AT:IST-2015-323-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:18Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2023-02-23T12:26:33Z
day: '19'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v1-1
file:
- access_level: open_access
checksum: 546c1b291d545e7b24aaaf4199dac671
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:57Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5519'
file_name: IST-2015-323-v1+1_main.pdf
file_size: 576347
relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '323'
related_material:
record:
- id: '5421'
relation: earlier_version
status: public
- id: '5440'
relation: later_version
status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5434'
abstract:
- lang: eng
text: DEC-POMDPs extend POMDPs to a multi-agent setting, where several agents operate
in an uncertain environment independently to achieve a joint objective. DEC-POMDPs
have been studied with finite-horizon and infinite-horizon discounted-sum objectives,
and there exist solvers both for exact and approximate solutions. In this work
we consider Goal-DEC-POMDPs, where given a set of target states, the objective
is to ensure that the target set is reached with minimal cost. We consider the
indefinite-horizon (infinite-horizon with either discounted-sum, or undiscounted-sum,
where absorbing goal states have zero-cost) problem. We present a new method to
solve the problem that extends methods for finite-horizon DEC- POMDPs and the
RTDP-Bel approach for POMDPs. We present experimental results on several examples,
and show our approach presents promising results.
alternative_title:
- IST Austria Technical Report
author:
- first_name: '1'
full_name: Anonymous, 1
last_name: Anonymous
- first_name: '2'
full_name: Anonymous, 2
last_name: Anonymous
citation:
ama: Anonymous 1, Anonymous 2. Optimal Cost Indefinite-Horizon Reachability in
Goal DEC-POMDPs. IST Austria; 2015.
apa: Anonymous, 1, & Anonymous, 2. (2015). Optimal cost indefinite-horizon
reachability in goal DEC-POMDPs. IST Austria.
chicago: Anonymous, 1, and 2 Anonymous. Optimal Cost Indefinite-Horizon Reachability
in Goal DEC-POMDPs. IST Austria, 2015.
ieee: 1 Anonymous and 2 Anonymous, Optimal cost indefinite-horizon reachability
in goal DEC-POMDPs. IST Austria, 2015.
ista: Anonymous 1, Anonymous 2. 2015. Optimal cost indefinite-horizon reachability
in goal DEC-POMDPs, IST Austria, 16p.
mla: Anonymous, 1, and 2 Anonymous. Optimal Cost Indefinite-Horizon Reachability
in Goal DEC-POMDPs. IST Austria, 2015.
short: 1 Anonymous, 2 Anonymous, Optimal Cost Indefinite-Horizon Reachability in
Goal DEC-POMDPs, IST Austria, 2015.
date_created: 2018-12-12T11:39:18Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2020-07-14T23:04:59Z
day: '19'
ddc:
- '000'
file:
- access_level: open_access
checksum: 8542fd0b10aed7811cd41077b8ccb632
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:14Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5475'
file_name: IST-2015-326-v1+1_main.pdf
file_size: 378162
relation: main_file
- access_level: closed
checksum: 84c31c537bdaf7a91909f18d25d640ab
content_type: text/plain
creator: dernst
date_created: 2019-04-16T13:00:33Z
date_updated: 2020-07-14T12:46:53Z
file_id: '6317'
file_name: IST-2015-326-v1+2_authors.txt
file_size: 64
relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '16'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '326'
status: public
title: Optimal cost indefinite-horizon reachability in goal DEC-POMDPs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5435'
abstract:
- lang: eng
text: "We consider Markov decision processes (MDPs) with multiple limit-average
(or mean-payoff) objectives. \r\nThere have been two different views: (i) the
expectation semantics, where the goal is to optimize the expected mean-payoff
objective, and (ii) the satisfaction semantics, where the goal is to maximize
the probability of runs such that the mean-payoff value stays above a given vector.
\ \r\nWe consider the problem where the goal is to optimize the expectation under
the constraint that the satisfaction semantics is ensured, and thus consider a
generalization that unifies the existing semantics. Our problem captures the notion
of optimization with respect to strategies that are risk-averse (i.e., ensures
certain probabilistic guarantee).\r\nOur main results are algorithms for the decision
problem which are always polynomial in the size of the MDP.\r\nWe also show that
an approximation of the Pareto-curve can be computed in time polynomial in the
size of the MDP, and the approximation factor, but exponential in the number of
dimensions. Finally, we present a complete characterization of the strategy complexity
(in terms of memory bounds and randomization) required to solve our problem."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Zuzana
full_name: Komarkova, Zuzana
last_name: Komarkova
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
citation:
ama: Chatterjee K, Komarkova Z, Kretinsky J. Unifying Two Views on Multiple Mean-Payoff
Objectives in Markov Decision Processes. IST Austria; 2015. doi:10.15479/AT:IST-2015-318-v2-1
apa: Chatterjee, K., Komarkova, Z., & Kretinsky, J. (2015). Unifying two
views on multiple mean-payoff objectives in Markov decision processes. IST
Austria. https://doi.org/10.15479/AT:IST-2015-318-v2-1
chicago: Chatterjee, Krishnendu, Zuzana Komarkova, and Jan Kretinsky. Unifying
Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-318-v2-1.
ieee: K. Chatterjee, Z. Komarkova, and J. Kretinsky, Unifying two views on multiple
mean-payoff objectives in Markov decision processes. IST Austria, 2015.
ista: Chatterjee K, Komarkova Z, Kretinsky J. 2015. Unifying two views on multiple
mean-payoff objectives in Markov decision processes, IST Austria, 51p.
mla: Chatterjee, Krishnendu, et al. Unifying Two Views on Multiple Mean-Payoff
Objectives in Markov Decision Processes. IST Austria, 2015, doi:10.15479/AT:IST-2015-318-v2-1.
short: K. Chatterjee, Z. Komarkova, J. Kretinsky, Unifying Two Views on Multiple
Mean-Payoff Objectives in Markov Decision Processes, IST Austria, 2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-02-23T00:00:00Z
date_updated: 2023-02-23T12:26:00Z
day: '23'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-318-v2-1
file:
- access_level: open_access
checksum: 75284adec80baabdfe71ff9ebbc27445
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:03Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5525'
file_name: IST-2015-318-v2+1_main.pdf
file_size: 717630
relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '51'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '327'
related_material:
record:
- id: '1657'
relation: later_version
status: public
- id: '466'
relation: later_version
status: public
- id: '5429'
relation: earlier_version
status: public
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5436'
abstract:
- lang: eng
text: "Recently there has been a significant effort to handle quantitative properties
in formal verification and synthesis. While weighted automata over finite and
infinite words provide a natural and flexible framework to express quantitative
properties, perhaps surprisingly, some basic system properties such as average
response time cannot be expressed using weighted automata, nor in any other know
decidable formalism. In this work, we introduce nested weighted automata as a
natural extension of weighted automata which makes it possible to express important
quantitative properties such as average response time.\r\nIn nested weighted automata,
a master automaton spins off and collects results from weighted slave automata,
each of which computes a quantity along a finite portion of an infinite word.
Nested weighted automata can be viewed as the quantitative analogue of monitor
automata, which are used in run-time verification. We establish an almost complete
decidability picture for the basic decision problems about nested weighted automata,
and illustrate their applicability in several domains. In particular, nested weighted
automata can be used to decide average response time properties."
alternative_title:
- IST Austria Technical Report
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. Nested Weighted Automata. IST Austria;
2015. doi:10.15479/AT:IST-2015-170-v2-2
apa: Chatterjee, K., Henzinger, T. A., & Otop, J. (2015). Nested weighted
automata. IST Austria. https://doi.org/10.15479/AT:IST-2015-170-v2-2
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. Nested Weighted
Automata. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-170-v2-2.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, Nested weighted automata.
IST Austria, 2015.
ista: Chatterjee K, Henzinger TA, Otop J. 2015. Nested weighted automata, IST Austria,
29p.
mla: Chatterjee, Krishnendu, et al. Nested Weighted Automata. IST Austria,
2015, doi:10.15479/AT:IST-2015-170-v2-2.
short: K. Chatterjee, T.A. Henzinger, J. Otop, Nested Weighted Automata, IST Austria,
2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-04-24T00:00:00Z
date_updated: 2023-02-23T12:25:21Z
day: '24'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2015-170-v2-2
file:
- access_level: open_access
checksum: 3c402f47d3669c28d04d1af405a08e3f
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:19Z
date_updated: 2020-07-14T12:46:54Z
file_id: '5541'
file_name: IST-2015-170-v2+2_report.pdf
file_size: 569991
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file_date_updated: 2020-07-14T12:46:54Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '331'
related_material:
record:
- id: '1656'
relation: later_version
status: public
- id: '467'
relation: later_version
status: public
- id: '5415'
relation: earlier_version
status: public
status: public
title: Nested weighted automata
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5437'
abstract:
- lang: eng
text: "We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean-payoff
property, the ratio property, and the minimum initial credit for energy property.
\r\nThe algorithmic problem given a graph and a quantitative property asks to
compute the optimal value (the infimum value over all traces) from every node
of the graph. We consider graphs with constant treewidth, and it is well-known
that the control-flow graphs of most programs have constant treewidth. Let $n$
denote the number of nodes of a graph, $m$ the number of edges (for constant treewidth
graphs $m=O(n)$) and $W$ the largest absolute value of the weights.\r\nOur main
theoretical results are as follows.\r\nFirst, for constant treewidth graphs we
present an algorithm that approximates the mean-payoff value within a multiplicative
factor of $\\epsilon$ in time $O(n \\cdot \\log (n/\\epsilon))$ and linear space,
as compared to the classical algorithms that require quadratic time. Second, for
the ratio property we present an algorithm that for constant treewidth graphs
works in time $O(n \\cdot \\log (|a\\cdot b|))=O(n\\cdot\\log (n\\cdot W))$, when
the output is $\\frac{a}{b}$, as compared to the previously best known algorithm
with running time $O(n^2 \\cdot \\log (n\\cdot W))$. Third, for the minimum initial
credit problem we show that (i)~for general graphs the problem can be solved in
$O(n^2\\cdot m)$ time and the associated decision problem can be solved in $O(n\\cdot
m)$ time, improving the previous known $O(n^3\\cdot m\\cdot \\log (n\\cdot W))$
and $O(n^2 \\cdot m)$ bounds, respectively; and (ii)~for constant treewidth graphs
we present an algorithm that requires $O(n\\cdot \\log n)$ time, improving the
previous known $O(n^4 \\cdot \\log (n \\cdot W))$ bound.\r\nWe have implemented
some of our algorithms and show that they present a significant speedup on standard
benchmarks. "
alternative_title:
- IST Austria Technical Report
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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-330-v2-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2015). Faster
algorithms for quantitative verification in constant treewidth graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2015-330-v2-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-330-v2-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Faster algorithms
for quantitative verification in constant treewidth graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
quantitative verification in constant treewidth graphs, IST Austria, 27p.
mla: Chatterjee, Krishnendu, et al. Faster Algorithms for Quantitative Verification
in Constant Treewidth Graphs. IST Austria, 2015, doi:10.15479/AT:IST-2015-330-v2-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-04-27T00:00:00Z
date_updated: 2023-02-23T12:26:05Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-330-v2-1
file:
- access_level: open_access
checksum: f5917c20f84018b362d385c000a2e123
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:12Z
date_updated: 2020-07-14T12:46:54Z
file_id: '5473'
file_name: IST-2015-330-v2+1_main.pdf
file_size: 1072137
relation: main_file
file_date_updated: 2020-07-14T12:46:54Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '27'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '333'
related_material:
record:
- id: '1607'
relation: later_version
status: public
- id: '5430'
relation: earlier_version
status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5438'
abstract:
- lang: eng
text: "The edit distance between two words w1, w2 is the minimal number of word
operations (letter insertions, deletions, and substitutions) necessary to transform
w1 to w2. The edit distance generalizes to languages L1, L2, where the edit distance
is the minimal number k such that for every word from L1 there exists a word in
L2 with edit distance at most k. We study the edit distance computation problem
between pushdown automata and their subclasses.\r\nThe problem of computing edit
distance to a pushdown automaton is undecidable, and in practice, the interesting
question is to compute the edit distance from a pushdown automaton (the implementation,
a standard model for programs with recursion) to a regular language (the specification).
In this work, we present a complete picture of decidability and complexity for
deciding whether, for a given threshold k, the edit distance from a pushdown automaton
to a finite automaton is at most k. "
alternative_title:
- IST Austria Technical Report
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit Distance for Pushdown
Automata. IST Austria; 2015. doi:10.15479/AT:IST-2015-334-v1-1
apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., & Otop, J. (2015).
Edit distance for pushdown automata. IST Austria. https://doi.org/10.15479/AT:IST-2015-334-v1-1
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
Otop. Edit Distance for Pushdown Automata. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-334-v1-1.
ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, Edit distance
for pushdown automata. IST Austria, 2015.
ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2015. Edit distance for
pushdown automata, IST Austria, 15p.
mla: Chatterjee, Krishnendu, et al. Edit Distance for Pushdown Automata.
IST Austria, 2015, doi:10.15479/AT:IST-2015-334-v1-1.
short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Edit Distance for
Pushdown Automata, IST Austria, 2015.
date_created: 2018-12-12T11:39:20Z
date_published: 2015-05-05T00:00:00Z
date_updated: 2023-02-23T12:20:08Z
day: '05'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-334-v1-1
file:
- access_level: open_access
checksum: 8a5f2d77560e552af87eb1982437a43b
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:56Z
date_updated: 2020-07-14T12:46:55Z
file_id: '5518'
file_name: IST-2015-334-v1+1_report.pdf
file_size: 422573
relation: main_file
file_date_updated: 2020-07-14T12:46:55Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: '15'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '334'
related_material:
record:
- id: '1610'
relation: later_version
status: public
- id: '465'
relation: later_version
status: public
status: public
title: Edit distance for pushdown automata
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...