---
_id: '3316'
abstract:
- lang: eng
  text: In addition to being correct, a system should be robust, that is, it should
    behave reasonably even after receiving unexpected inputs. In this paper, we summarize
    two formal notions of robustness that we have introduced previously for reactive
    systems. One of the notions is based on assigning costs for failures on a user-provided
    notion of incorrect transitions in a specification. Here, we define a system to
    be robust if a finite number of incorrect inputs does not lead to an infinite
    number of incorrect outputs. We also give a more refined notion of robustness
    that aims to minimize the ratio of output failures to input failures. The second
    notion is aimed at liveness. In contrast to the previous notion, it has no concept
    of recovery from an error. Instead, it compares the ratio of the number of liveness
    constraints that the system violates to the number of liveness constraints that
    the environment violates.
article_processing_charge: No
author:
- first_name: Roderick
  full_name: Bloem, Roderick
  last_name: Bloem
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Karin
  full_name: Greimel, Karin
  last_name: Greimel
- 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: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
citation:
  ama: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. Specification-centered
    robustness. In: <i>6th IEEE International Symposium on Industrial and Embedded
    Systems</i>. IEEE; 2011:176-185. doi:<a href="https://doi.org/10.1109/SIES.2011.5953660">10.1109/SIES.2011.5953660</a>'
  apa: 'Bloem, R., Chatterjee, K., Greimel, K., Henzinger, T. A., &#38; Jobstmann,
    B. (2011). Specification-centered robustness. In <i>6th IEEE International Symposium
    on Industrial and Embedded Systems</i> (pp. 176–185). Vasteras, Sweden: IEEE.
    <a href="https://doi.org/10.1109/SIES.2011.5953660">https://doi.org/10.1109/SIES.2011.5953660</a>'
  chicago: Bloem, Roderick, Krishnendu Chatterjee, Karin Greimel, Thomas A Henzinger,
    and Barbara Jobstmann. “Specification-Centered Robustness.” In <i>6th IEEE International
    Symposium on Industrial and Embedded Systems</i>, 176–85. IEEE, 2011. <a href="https://doi.org/10.1109/SIES.2011.5953660">https://doi.org/10.1109/SIES.2011.5953660</a>.
  ieee: R. Bloem, K. Chatterjee, K. Greimel, T. A. Henzinger, and B. Jobstmann, “Specification-centered
    robustness,” in <i>6th IEEE International Symposium on Industrial and Embedded
    Systems</i>, Vasteras, Sweden, 2011, pp. 176–185.
  ista: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. 2011. Specification-centered
    robustness. 6th IEEE International Symposium on Industrial and Embedded Systems.  SIES:
    International Symposium on Industrial Embedded Systems, 176–185.'
  mla: Bloem, Roderick, et al. “Specification-Centered Robustness.” <i>6th IEEE International
    Symposium on Industrial and Embedded Systems</i>, IEEE, 2011, pp. 176–85, doi:<a
    href="https://doi.org/10.1109/SIES.2011.5953660">10.1109/SIES.2011.5953660</a>.
  short: R. Bloem, K. Chatterjee, K. Greimel, T.A. Henzinger, B. Jobstmann, in:, 6th
    IEEE International Symposium on Industrial and Embedded Systems, IEEE, 2011, pp.
    176–185.
conference:
  end_date: 2011-06-17
  location: Vasteras, Sweden
  name: ' SIES: International Symposium on Industrial Embedded Systems'
  start_date: 2011-06-15
date_created: 2018-12-11T12:02:38Z
date_published: 2011-07-14T00:00:00Z
date_updated: 2021-01-12T07:42:36Z
day: '14'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1109/SIES.2011.5953660
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://openlib.tugraz.at/download.php?id=5cb57c8a49344&location=browse
month: '07'
oa: 1
oa_version: Published Version
page: 176 - 185
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: 6th IEEE International Symposium on Industrial and Embedded Systems
publication_status: published
publisher: IEEE
publist_id: '3323'
quality_controlled: '1'
scopus_import: 1
status: public
title: Specification-centered robustness
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3318'
abstract:
- lang: eng
  text: Parvalbumin is thought to act in a manner similar to EGTA, but how a slow
    Ca2+ buffer affects nanodomain-coupling regimes at GABAergic synapses is unclear.
    Direct measurements of parvalbumin concentration and paired recordings in rodent
    hippocampus and cerebellum revealed that parvalbumin affects synaptic dynamics
    only when expressed at high levels. Modeling suggests that, in high concentrations,
    parvalbumin may exert BAPTA-like effects, modulating nanodomain coupling via competition
    with local saturation of endogenous fixed buffers.
author:
- first_name: Emmanuel
  full_name: Eggermann, Emmanuel
  last_name: Eggermann
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: Eggermann E, Jonas PM. How the “slow” Ca(2+) buffer parvalbumin affects transmitter
    release in nanodomain coupling regimes at GABAergic synapses. <i>Nature Neuroscience</i>.
    2011;15:20-22. doi:<a href="https://doi.org/10.1038/nn.3002">10.1038/nn.3002</a>
  apa: Eggermann, E., &#38; Jonas, P. M. (2011). How the “slow” Ca(2+) buffer parvalbumin
    affects transmitter release in nanodomain coupling regimes at GABAergic synapses.
    <i>Nature Neuroscience</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/nn.3002">https://doi.org/10.1038/nn.3002</a>
  chicago: Eggermann, Emmanuel, and Peter M Jonas. “How the ‘Slow’ Ca(2+) Buffer Parvalbumin
    Affects Transmitter Release in Nanodomain Coupling Regimes at GABAergic Synapses.”
    <i>Nature Neuroscience</i>. Nature Publishing Group, 2011. <a href="https://doi.org/10.1038/nn.3002">https://doi.org/10.1038/nn.3002</a>.
  ieee: E. Eggermann and P. M. Jonas, “How the ‘slow’ Ca(2+) buffer parvalbumin affects
    transmitter release in nanodomain coupling regimes at GABAergic synapses,” <i>Nature
    Neuroscience</i>, vol. 15. Nature Publishing Group, pp. 20–22, 2011.
  ista: Eggermann E, Jonas PM. 2011. How the “slow” Ca(2+) buffer parvalbumin affects
    transmitter release in nanodomain coupling regimes at GABAergic synapses. Nature
    Neuroscience. 15, 20–22.
  mla: Eggermann, Emmanuel, and Peter M. Jonas. “How the ‘Slow’ Ca(2+) Buffer Parvalbumin
    Affects Transmitter Release in Nanodomain Coupling Regimes at GABAergic Synapses.”
    <i>Nature Neuroscience</i>, vol. 15, Nature Publishing Group, 2011, pp. 20–22,
    doi:<a href="https://doi.org/10.1038/nn.3002">10.1038/nn.3002</a>.
  short: E. Eggermann, P.M. Jonas, Nature Neuroscience 15 (2011) 20–22.
date_created: 2018-12-11T12:02:38Z
date_published: 2011-12-04T00:00:00Z
date_updated: 2021-01-12T07:42:37Z
day: '04'
department:
- _id: PeJo
doi: 10.1038/nn.3002
intvolume: '        15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3631701/
month: '12'
oa: 1
oa_version: Submitted Version
page: 20 - 22
publication: Nature Neuroscience
publication_status: published
publisher: Nature Publishing Group
publist_id: '3321'
quality_controlled: '1'
scopus_import: 1
status: public
title: How the “slow” Ca(2+) buffer parvalbumin affects transmitter release in nanodomain
  coupling regimes at GABAergic synapses
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2011'
...
---
_id: '3319'
abstract:
- lang: eng
  text: We address the problem of metric learning for multi-view data, namely the
    construction of embedding projections from data in different representations into
    a shared feature space, such that the Euclidean distance in this space provides
    a meaningful within-view as well as between-view similarity. Our motivation stems
    from the problem of cross-media retrieval tasks, where the availability of a joint
    Euclidean distance function is a pre-requisite to allow fast, in particular hashing-based,
    nearest neighbor queries. We formulate an objective function that expresses the
    intuitive concept that matching samples are mapped closely together in the output
    space, whereas non-matching samples are pushed apart, no matter in which view
    they are available. The resulting optimization problem is not convex, but it can
    be decomposed explicitly into a convex and a concave part, thereby allowing efficient
    optimization using the convex-concave procedure. Experiments on an image retrieval
    task show that nearest-neighbor based cross-view retrieval is indeed possible,
    and the proposed technique improves the retrieval accuracy over baseline techniques.
article_processing_charge: No
author:
- first_name: Novi
  full_name: Quadrianto, Novi
  last_name: Quadrianto
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Quadrianto N, Lampert C. Learning multi-view neighborhood preserving projections.
    In: ML Research Press; 2011:425-432.'
  apa: 'Quadrianto, N., &#38; Lampert, C. (2011). Learning multi-view neighborhood
    preserving projections (pp. 425–432). Presented at the ICML: International Conference
    on Machine Learning, Bellevue, United States: ML Research Press.'
  chicago: Quadrianto, Novi, and Christoph Lampert. “Learning Multi-View Neighborhood
    Preserving Projections,” 425–32. ML Research Press, 2011.
  ieee: 'N. Quadrianto and C. Lampert, “Learning multi-view neighborhood preserving
    projections,” presented at the ICML: International Conference on Machine Learning,
    Bellevue, United States, 2011, pp. 425–432.'
  ista: 'Quadrianto N, Lampert C. 2011. Learning multi-view neighborhood preserving
    projections. ICML: International Conference on Machine Learning, 425–432.'
  mla: Quadrianto, Novi, and Christoph Lampert. <i>Learning Multi-View Neighborhood
    Preserving Projections</i>. ML Research Press, 2011, pp. 425–32.
  short: N. Quadrianto, C. Lampert, in:, ML Research Press, 2011, pp. 425–432.
conference:
  end_date: 2011-07-02
  location: Bellevue, United States
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2011-06-28
date_created: 2018-12-11T12:02:39Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2023-10-17T11:59:50Z
day: '01'
department:
- _id: ChLa
language:
- iso: eng
month: '01'
oa_version: None
page: 425 - 432
publication_status: published
publisher: ML Research Press
publist_id: '3316'
scopus_import: '1'
status: public
title: Learning multi-view neighborhood preserving projections
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3320'
abstract:
- lang: eng
  text: Powerful statistical models that can be learned efficiently from large amounts
    of data are currently revolutionizing computer vision. These models possess a
    rich internal structure reflecting task-specific relations and constraints. This
    monograph introduces the reader to the most popular classes of structured models
    in computer vision. Our focus is discrete undirected graphical models which we
    cover in detail together with a description of algorithms for both probabilistic
    inference and maximum a posteriori inference. We discuss separately recently successful
    techniques for prediction in general structured models. In the second part of
    this monograph we describe methods for parameter learning where we distinguish
    the classic maximum likelihood based methods from the more recent prediction-based
    parameter learning methods. We highlight developments to enhance current models
    and discuss kernelized models and latent variable models. To make the monograph
    more practical and to provide links to further study we provide examples of successful
    application of many methods in the computer vision literature.
article_processing_charge: No
article_type: original
author:
- first_name: Sebastian
  full_name: Nowozin, Sebastian
  last_name: Nowozin
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Nowozin S, Lampert C. Structured learning and prediction in computer vision.
    <i>Foundations and Trends in Computer Graphics and Vision</i>. 2011;6(3-4):185-365.
    doi:<a href="https://doi.org/10.1561/0600000033">10.1561/0600000033</a>
  apa: Nowozin, S., &#38; Lampert, C. (2011). Structured learning and prediction in
    computer vision. <i>Foundations and Trends in Computer Graphics and Vision</i>.
    Now Publishers. <a href="https://doi.org/10.1561/0600000033">https://doi.org/10.1561/0600000033</a>
  chicago: Nowozin, Sebastian, and Christoph Lampert. “Structured Learning and Prediction
    in Computer Vision.” <i>Foundations and Trends in Computer Graphics and Vision</i>.
    Now Publishers, 2011. <a href="https://doi.org/10.1561/0600000033">https://doi.org/10.1561/0600000033</a>.
  ieee: S. Nowozin and C. Lampert, “Structured learning and prediction in computer
    vision,” <i>Foundations and Trends in Computer Graphics and Vision</i>, vol. 6,
    no. 3–4. Now Publishers, pp. 185–365, 2011.
  ista: Nowozin S, Lampert C. 2011. Structured learning and prediction in computer
    vision. Foundations and Trends in Computer Graphics and Vision. 6(3–4), 185–365.
  mla: Nowozin, Sebastian, and Christoph Lampert. “Structured Learning and Prediction
    in Computer Vision.” <i>Foundations and Trends in Computer Graphics and Vision</i>,
    vol. 6, no. 3–4, Now Publishers, 2011, pp. 185–365, doi:<a href="https://doi.org/10.1561/0600000033">10.1561/0600000033</a>.
  short: S. Nowozin, C. Lampert, Foundations and Trends in Computer Graphics and Vision
    6 (2011) 185–365.
date_created: 2018-12-11T12:02:39Z
date_published: 2011-05-23T00:00:00Z
date_updated: 2023-10-17T11:52:46Z
day: '23'
ddc:
- '000'
department:
- _id: ChLa
doi: 10.1561/0600000033
file:
- access_level: open_access
  checksum: f1043ef389f1558e2a226bb51568511f
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-14T14:34:47Z
  date_updated: 2020-07-14T12:46:07Z
  file_id: '7837'
  file_name: 2011_CompGraphicsVision_Nowozin.pdf
  file_size: 3745064
  relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
intvolume: '         6'
issue: 3-4
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 185 - 365
publication: Foundations and Trends in Computer Graphics and Vision
publication_status: published
publisher: Now Publishers
publist_id: '3315'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Structured learning and prediction in computer vision
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2011'
...
---
_id: '3322'
abstract:
- lang: eng
  text: We study multi-label prediction for structured output spaces, a problem that
    occurs, for example, in object detection in images, secondary structure prediction
    in computational biology, and graph matching with symmetries. Conventional multi-label
    classification techniques are typically not applicable in this situation, because
    they require explicit enumeration of the label space, which is infeasible in case
    of structured outputs. Relying on techniques originally designed for single- label
    structured prediction, in particular structured support vector machines, results
    in reduced prediction accuracy, or leads to infeasible optimization problems.
    In this work we derive a maximum-margin training formulation for multi-label structured
    prediction that remains computationally tractable while achieving high prediction
    accuracy. It also shares most beneficial properties with single-label maximum-margin
    approaches, in particular a formulation as a convex optimization problem, efficient
    working set training, and PAC-Bayesian generalization bounds.
article_processing_charge: No
author:
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Lampert C. <i>Maximum Margin Multi Label Structured Prediction</i>. Neural
    Information Processing Systems Foundation; 2011.
  apa: 'Lampert, C. (2011). <i>Maximum margin multi label structured prediction</i>.
    <i>NIPS: Neural Information Processing Systems</i>. Neural Information Processing
    Systems Foundation.'
  chicago: 'Lampert, Christoph. <i>Maximum Margin Multi Label Structured Prediction</i>.
    <i>NIPS: Neural Information Processing Systems</i>. Neural Information Processing
    Systems Foundation, 2011.'
  ieee: C. Lampert, <i>Maximum margin multi label structured prediction</i>. Neural
    Information Processing Systems Foundation, 2011.
  ista: Lampert C. 2011. Maximum margin multi label structured prediction, Neural
    Information Processing Systems Foundation,p.
  mla: 'Lampert, Christoph. “Maximum Margin Multi Label Structured Prediction.” <i>NIPS:
    Neural Information Processing Systems</i>, Neural Information Processing Systems
    Foundation, 2011.'
  short: C. Lampert, Maximum Margin Multi Label Structured Prediction, Neural Information
    Processing Systems Foundation, 2011.
date_created: 2018-12-11T12:02:40Z
date_published: 2011-12-13T00:00:00Z
date_updated: 2023-10-17T11:47:36Z
day: '13'
department:
- _id: ChLa
language:
- iso: eng
month: '12'
oa_version: None
publication: 'NIPS: Neural Information Processing Systems'
publication_status: published
publisher: Neural Information Processing Systems Foundation
publist_id: '3313'
related_material:
  record:
  - id: '3163'
    relation: earlier_version
    status: public
status: public
title: Maximum margin multi label structured prediction
type: conference_poster
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3323'
abstract:
- lang: eng
  text: We present a new decidable logic called TREX for expressing constraints about
    imperative tree data structures. In particular, TREX supports a transitive closure
    operator that can express reachability constraints, which often appear in data
    structure invariants. We show that our logic is closed under weakest precondition
    computation, which enables its use for automated software verification. We further
    show that satisfiability of formulas in TREX is decidable in NP. The low complexity
    makes it an attractive alternative to more expensive logics such as monadic second-order
    logic (MSOL) over trees, which have been traditionally used for reasoning about
    tree data structures.
alternative_title:
- 'LNAI '
author:
- first_name: Thomas
  full_name: Wies, Thomas
  id: 447BFB88-F248-11E8-B48F-1D18A9856A87
  last_name: Wies
- first_name: Marco
  full_name: Muñiz, Marco
  last_name: Muñiz
- first_name: Viktor
  full_name: Kuncak, Viktor
  last_name: Kuncak
citation:
  ama: 'Wies T, Muñiz M, Kuncak V. An efficient decision procedure for imperative
    tree data structures. In: Vol 6803. Springer; 2011:476-491. doi:<a href="https://doi.org/10.1007/978-3-642-22438-6_36">10.1007/978-3-642-22438-6_36</a>'
  apa: 'Wies, T., Muñiz, M., &#38; Kuncak, V. (2011). An efficient decision procedure
    for imperative tree data structures (Vol. 6803, pp. 476–491). Presented at the
    CADE 23: Automated Deduction , Wrocław, Poland: Springer. <a href="https://doi.org/10.1007/978-3-642-22438-6_36">https://doi.org/10.1007/978-3-642-22438-6_36</a>'
  chicago: Wies, Thomas, Marco Muñiz, and Viktor Kuncak. “An Efficient Decision Procedure
    for Imperative Tree Data Structures,” 6803:476–91. Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-22438-6_36">https://doi.org/10.1007/978-3-642-22438-6_36</a>.
  ieee: 'T. Wies, M. Muñiz, and V. Kuncak, “An efficient decision procedure for imperative
    tree data structures,” presented at the CADE 23: Automated Deduction , Wrocław,
    Poland, 2011, vol. 6803, pp. 476–491.'
  ista: 'Wies T, Muñiz M, Kuncak V. 2011. An efficient decision procedure for imperative
    tree data structures. CADE 23: Automated Deduction , LNAI , vol. 6803, 476–491.'
  mla: Wies, Thomas, et al. <i>An Efficient Decision Procedure for Imperative Tree
    Data Structures</i>. Vol. 6803, Springer, 2011, pp. 476–91, doi:<a href="https://doi.org/10.1007/978-3-642-22438-6_36">10.1007/978-3-642-22438-6_36</a>.
  short: T. Wies, M. Muñiz, V. Kuncak, in:, Springer, 2011, pp. 476–491.
conference:
  end_date: 2011-08-05
  location: Wrocław, Poland
  name: 'CADE 23: Automated Deduction '
  start_date: 2011-07-31
date_created: 2018-12-11T12:02:40Z
date_published: 2011-07-19T00:00:00Z
date_updated: 2023-02-23T12:23:48Z
day: '19'
department:
- _id: ToHe
doi: 10.1007/978-3-642-22438-6_36
intvolume: '      6803'
language:
- iso: eng
month: '07'
oa_version: None
page: 476 - 491
publication_status: published
publisher: Springer
publist_id: '3312'
quality_controlled: '1'
related_material:
  record:
  - id: '5383'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: An efficient decision procedure for imperative tree data structures
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6803
year: '2011'
...
---
_id: '3324'
abstract:
- lang: eng
  text: 'Automated termination provers often use the following schema to prove that
    a program terminates: construct a relational abstraction of the program''s transition
    relation and then show that the relational abstraction is well-founded. The focus
    of current tools has been on developing sophisticated techniques for constructing
    the abstractions while relying on known decidable logics (such as linear arithmetic)
    to express them. We believe we can significantly increase the class of programs
    that are amenable to automated termination proofs by identifying more expressive
    decidable logics for reasoning about well-founded relations. We therefore present
    a new decision procedure for reasoning about multiset orderings, which are among
    the most powerful orderings used to prove termination. We show that, using our
    decision procedure, one can automatically prove termination of natural abstractions
    of programs.'
alternative_title:
- LNCS
author:
- first_name: Ruzica
  full_name: Piskac, Ruzica
  last_name: Piskac
- first_name: Thomas
  full_name: Wies, Thomas
  id: 447BFB88-F248-11E8-B48F-1D18A9856A87
  last_name: Wies
citation:
  ama: 'Piskac R, Wies T. Decision procedures for automating termination proofs. In:
    Jhala R, Schmidt D, eds. Vol 6538. Springer; 2011:371-386. doi:<a href="https://doi.org/10.1007/978-3-642-18275-4_26">10.1007/978-3-642-18275-4_26</a>'
  apa: 'Piskac, R., &#38; Wies, T. (2011). Decision procedures for automating termination
    proofs. In R. Jhala &#38; D. Schmidt (Eds.) (Vol. 6538, pp. 371–386). Presented
    at the VMCAI: Verification Model Checking and Abstract Interpretation, Texas,
    USA: Springer. <a href="https://doi.org/10.1007/978-3-642-18275-4_26">https://doi.org/10.1007/978-3-642-18275-4_26</a>'
  chicago: Piskac, Ruzica, and Thomas Wies. “Decision Procedures for Automating Termination
    Proofs.” edited by Ranjit Jhala and David Schmidt, 6538:371–86. Springer, 2011.
    <a href="https://doi.org/10.1007/978-3-642-18275-4_26">https://doi.org/10.1007/978-3-642-18275-4_26</a>.
  ieee: 'R. Piskac and T. Wies, “Decision procedures for automating termination proofs,”
    presented at the VMCAI: Verification Model Checking and Abstract Interpretation,
    Texas, USA, 2011, vol. 6538, pp. 371–386.'
  ista: 'Piskac R, Wies T. 2011. Decision procedures for automating termination proofs.
    VMCAI: Verification Model Checking and Abstract Interpretation, LNCS, vol. 6538,
    371–386.'
  mla: Piskac, Ruzica, and Thomas Wies. <i>Decision Procedures for Automating Termination
    Proofs</i>. Edited by Ranjit Jhala and David Schmidt, vol. 6538, Springer, 2011,
    pp. 371–86, doi:<a href="https://doi.org/10.1007/978-3-642-18275-4_26">10.1007/978-3-642-18275-4_26</a>.
  short: R. Piskac, T. Wies, in:, R. Jhala, D. Schmidt (Eds.), Springer, 2011, pp.
    371–386.
conference:
  end_date: 2011-01-25
  location: Texas, USA
  name: 'VMCAI: Verification Model Checking and Abstract Interpretation'
  start_date: 2011-01-23
date_created: 2018-12-11T12:02:40Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:39Z
day: '01'
department:
- _id: ToHe
doi: 10.1007/978-3-642-18275-4_26
editor:
- first_name: Ranjit
  full_name: Jhala, Ranjit
  last_name: Jhala
- first_name: David
  full_name: Schmidt, David
  last_name: Schmidt
intvolume: '      6538'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://infoscience.epfl.ch/record/170697/
month: '01'
oa: 1
oa_version: Submitted Version
page: 371 - 386
publication_status: published
publisher: Springer
publist_id: '3311'
quality_controlled: '1'
scopus_import: 1
status: public
title: Decision procedures for automating termination proofs
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6538
year: '2011'
...
---
_id: '3325'
abstract:
- lang: eng
  text: We introduce streaming data string transducers that map input data strings
    to output data strings in a single left-to-right pass in linear time. Data strings
    are (unbounded) sequences of data values, tagged with symbols from a finite set,
    over a potentially infinite data do- main that supports only the operations of
    equality and ordering. The transducer uses a finite set of states, a finite set
    of variables ranging over the data domain, and a finite set of variables ranging
    over data strings. At every step, it can make decisions based on the next in-
    put symbol, updating its state, remembering the input data value in its data variables,
    and updating data-string variables by concatenat- ing data-string variables and
    new symbols formed from data vari- ables, while avoiding duplication. We establish
    that the problems of checking functional equivalence of two streaming transducers,
    and of checking whether a streaming transducer satisfies pre/post verification
    conditions specified by streaming acceptors over in- put/output data-strings,
    are in PSPACE. We identify a class of imperative and a class of functional pro-
    grams, manipulating lists of data items, which can be effectively translated to
    streaming data-string transducers. The imperative pro- grams dynamically modify
    a singly-linked heap by changing next- pointers of heap-nodes and by adding new
    nodes. The main re- striction specifies how the next-pointers can be used for
    traversal. We also identify an expressively equivalent fragment of functional
    programs that traverse a list using syntactically restricted recursive calls.
    Our results lead to algorithms for assertion checking and for checking functional
    equivalence of two programs, written possibly in different programming styles,
    for commonly used routines such as insert, delete, and reverse.
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Pavol
  full_name: Cerny, Pavol
  id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
  last_name: Cerny
citation:
  ama: 'Alur R, Cerny P. Streaming transducers for algorithmic verification of single
    pass list processing programs. In: Vol 46. ACM; 2011:599-610. doi:<a href="https://doi.org/10.1145/1926385.1926454">10.1145/1926385.1926454</a>'
  apa: 'Alur, R., &#38; Cerny, P. (2011). Streaming transducers for algorithmic verification
    of single pass list processing programs (Vol. 46, pp. 599–610). Presented at the
    POPL: Principles of Programming Languages, Texas, USA: ACM. <a href="https://doi.org/10.1145/1926385.1926454">https://doi.org/10.1145/1926385.1926454</a>'
  chicago: Alur, Rajeev, and Pavol Cerny. “Streaming Transducers for Algorithmic Verification
    of Single Pass List Processing Programs,” 46:599–610. ACM, 2011. <a href="https://doi.org/10.1145/1926385.1926454">https://doi.org/10.1145/1926385.1926454</a>.
  ieee: 'R. Alur and P. Cerny, “Streaming transducers for algorithmic verification
    of single pass list processing programs,” presented at the POPL: Principles of
    Programming Languages, Texas, USA, 2011, vol. 46, no. 1, pp. 599–610.'
  ista: 'Alur R, Cerny P. 2011. Streaming transducers for algorithmic verification
    of single pass list processing programs. POPL: Principles of Programming Languages
    vol. 46, 599–610.'
  mla: Alur, Rajeev, and Pavol Cerny. <i>Streaming Transducers for Algorithmic Verification
    of Single Pass List Processing Programs</i>. Vol. 46, no. 1, ACM, 2011, pp. 599–610,
    doi:<a href="https://doi.org/10.1145/1926385.1926454">10.1145/1926385.1926454</a>.
  short: R. Alur, P. Cerny, in:, ACM, 2011, pp. 599–610.
conference:
  end_date: 2011-01-28
  location: Texas, USA
  name: 'POPL: Principles of Programming Languages'
  start_date: 2011-01-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-01-26T00:00:00Z
date_updated: 2022-03-21T08:12:51Z
day: '26'
department:
- _id: ToHe
doi: 10.1145/1926385.1926454
intvolume: '        46'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 599 - 610
publication_status: published
publisher: ACM
publist_id: '3310'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Streaming transducers for algorithmic verification of single pass list processing
  programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2011'
...
---
_id: '3326'
abstract:
- lang: eng
  text: 'Weighted automata map input words to numerical values. Ap- plications of
    weighted automata include formal verification of quantitative properties, as well
    as text, speech, and image processing. A weighted au- tomaton is defined with
    respect to a semiring. For the tropical semiring, the weight of a run is the sum
    of the weights of the transitions taken along the run, and the value of a word
    is the minimal weight of an accepting run on it. In the 90’s, Krob studied the
    decidability of problems on rational series defined with respect to the tropical
    semiring. Rational series are strongly related to weighted automata, and Krob’s
    results apply to them. In par- ticular, it follows from Krob’s results that the
    universality problem (that is, deciding whether the values of all words are below
    some threshold) is decidable for weighted automata defined with respect to the
    tropical semir- ing with domain ∪ {∞}, and that the equality problem is undecidable
    when the domain is ∪ {∞}. In this paper we continue the study of the borders of
    decidability in weighted automata, describe alternative and direct proofs of the
    above results, and tighten them further. Unlike the proofs of Krob, which are
    algebraic in their nature, our proofs stay in the terrain of state machines, and
    the reduction is from the halting problem of a two-counter machine. This enables
    us to significantly simplify Krob’s reasoning, make the un- decidability result
    accessible to the automata-theoretic community, and strengthen it to apply already
    to a very simple class of automata: all the states are accepting, there are no
    initial nor final weights, and all the weights on the transitions are from the
    set {−1, 0, 1}. The fact we work directly with the automata enables us to tighten
    also the decidability re- sults and to show that the universality problem for
    weighted automata defined with respect to the tropical semiring with domain ∪
    {∞}, and in fact even with domain ≥0 ∪ {∞}, is PSPACE-complete. Our results thus
    draw a sharper picture about the decidability of decision problems for weighted
    automata, in both the front of containment vs. universality and the front of the
    ∪ {∞} vs. the ∪ {∞} domains.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Shaull
  full_name: Almagor, Shaull
  last_name: Almagor
- first_name: Udi
  full_name: Boker, Udi
  id: 31E297B6-F248-11E8-B48F-1D18A9856A87
  last_name: Boker
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
citation:
  ama: 'Almagor S, Boker U, Kupferman O. What’s decidable about weighted automata
    . In: Vol 6996. Springer; 2011:482-491. doi:<a href="https://doi.org/10.1007/978-3-642-24372-1_37">10.1007/978-3-642-24372-1_37</a>'
  apa: 'Almagor, S., Boker, U., &#38; Kupferman, O. (2011). What’s decidable about
    weighted automata  (Vol. 6996, pp. 482–491). Presented at the ATVA: Automated
    Technology for Verification and Analysis, Taipei, Taiwan: Springer. <a href="https://doi.org/10.1007/978-3-642-24372-1_37">https://doi.org/10.1007/978-3-642-24372-1_37</a>'
  chicago: Almagor, Shaull, Udi Boker, and Orna Kupferman. “What’s Decidable about
    Weighted Automata ,” 6996:482–91. Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-24372-1_37">https://doi.org/10.1007/978-3-642-24372-1_37</a>.
  ieee: 'S. Almagor, U. Boker, and O. Kupferman, “What’s decidable about weighted
    automata ,” presented at the ATVA: Automated Technology for Verification and Analysis,
    Taipei, Taiwan, 2011, vol. 6996, pp. 482–491.'
  ista: 'Almagor S, Boker U, Kupferman O. 2011. What’s decidable about weighted automata
    . ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 6996, 482–491.'
  mla: Almagor, Shaull, et al. <i>What’s Decidable about Weighted Automata </i>. Vol.
    6996, Springer, 2011, pp. 482–91, doi:<a href="https://doi.org/10.1007/978-3-642-24372-1_37">10.1007/978-3-642-24372-1_37</a>.
  short: S. Almagor, U. Boker, O. Kupferman, in:, Springer, 2011, pp. 482–491.
conference:
  end_date: 2011-10-14
  location: Taipei, Taiwan
  name: 'ATVA: Automated Technology for Verification and Analysis'
  start_date: 2011-10-11
date_created: 2018-12-11T12:02:41Z
date_published: 2011-10-14T00:00:00Z
date_updated: 2021-01-12T07:42:40Z
day: '14'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-642-24372-1_37
file:
- access_level: open_access
  checksum: a7ca08a2cb1b6925f4c18a3034ae5659
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-19T16:08:32Z
  date_updated: 2020-07-14T12:46:07Z
  file_id: '7868'
  file_name: 2011_LNCS_Almagor.pdf
  file_size: 182309
  relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
intvolume: '      6996'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 482 - 491
publication_status: published
publisher: Springer
publist_id: '3309'
quality_controlled: '1'
status: public
title: 'What’s decidable about weighted automata '
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6996
year: '2011'
...
---
_id: '3328'
abstract:
- lang: eng
  text: 'We report on a generic uni- and bivariate algebraic kernel that is publicly
    available with CGAL 3.7. It comprises complete, correct, though efficient state-of-the-art
    implementations on polynomials, roots of polynomial systems, and the support to
    analyze algebraic curves defined by bivariate polynomials. The kernel design is
    generic, that is, various number types and substeps can be exchanged. It is accompanied
    with a ready-to-use interface to enable arrangements induced by algebraic curves,
    that have already been used as basis for various geometric applications, as arrangements
    on Dupin cyclides or the triangulation of algebraic surfaces. We present two novel
    applications: arrangements of rotated algebraic curves and Boolean set operations
    on polygons bounded by segments of algebraic curves. We also provide experiments
    showing that our general implementation is competitive and even often clearly
    outperforms existing implementations that are explicitly tailored for specific
    types of non-linear curves that are available in CGAL.'
article_processing_charge: No
author:
- first_name: Eric
  full_name: Berberich, Eric
  last_name: Berberich
- first_name: Michael
  full_name: Hemmer, Michael
  last_name: Hemmer
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
citation:
  ama: 'Berberich E, Hemmer M, Kerber M. A generic algebraic kernel for non linear
    geometric applications. In: ACM; 2011:179-186. doi:<a href="https://doi.org/10.1145/1998196.1998224">10.1145/1998196.1998224</a>'
  apa: 'Berberich, E., Hemmer, M., &#38; Kerber, M. (2011). A generic algebraic kernel
    for non linear geometric applications (pp. 179–186). Presented at the SCG: Symposium
    on Computational Geometry, Paris, France: ACM. <a href="https://doi.org/10.1145/1998196.1998224">https://doi.org/10.1145/1998196.1998224</a>'
  chicago: Berberich, Eric, Michael Hemmer, and Michael Kerber. “A Generic Algebraic
    Kernel for Non Linear Geometric Applications,” 179–86. ACM, 2011. <a href="https://doi.org/10.1145/1998196.1998224">https://doi.org/10.1145/1998196.1998224</a>.
  ieee: 'E. Berberich, M. Hemmer, and M. Kerber, “A generic algebraic kernel for non
    linear geometric applications,” presented at the SCG: Symposium on Computational
    Geometry, Paris, France, 2011, pp. 179–186.'
  ista: 'Berberich E, Hemmer M, Kerber M. 2011. A generic algebraic kernel for non
    linear geometric applications. SCG: Symposium on Computational Geometry, 179–186.'
  mla: Berberich, Eric, et al. <i>A Generic Algebraic Kernel for Non Linear Geometric
    Applications</i>. ACM, 2011, pp. 179–86, doi:<a href="https://doi.org/10.1145/1998196.1998224">10.1145/1998196.1998224</a>.
  short: E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
conference:
  end_date: 2011-06-15
  location: Paris, France
  name: 'SCG: Symposium on Computational Geometry'
  start_date: 2011-06-13
date_created: 2018-12-11T12:02:42Z
date_published: 2011-06-13T00:00:00Z
date_updated: 2021-01-12T07:42:41Z
day: '13'
department:
- _id: HeEd
doi: 10.1145/1998196.1998224
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.inria.fr/inria-00480031/file/RR-7274.pdf
month: '06'
oa: 1
oa_version: Published Version
page: 179 - 186
publication_status: published
publisher: ACM
publist_id: '3307'
quality_controlled: '1'
scopus_import: 1
status: public
title: A generic algebraic kernel for non linear geometric applications
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3329'
abstract:
- lang: eng
  text: 'We consider the offset-deconstruction problem: Given a polygonal shape Q
    with n vertices, can it be expressed, up to a tolerance µ in Hausdorff distance,
    as the Minkowski sum of another polygonal shape P with a disk of fixed radius?
    If it does, we also seek a preferably simple-looking solution shape P; then, P''s
    offset constitutes an accurate, vertex-reduced, and smoothened approximation of
    Q. We give an O(n log n)-time exact decision algorithm that handles any polygonal
    shape, assuming the real-RAM model of computation. An alternative algorithm, based
    purely on rational arithmetic, answers the same deconstruction problem, up to
    an uncertainty parameter, and its running time depends on the parameter δ (in
    addition to the other input parameters: n, δ and the radius of the disk). If the
    input shape is found to be approximable, the rational-arithmetic algorithm also
    computes an approximate solution shape for the problem. For convex shapes, the
    complexity of the exact decision algorithm drops to O(n), which is also the time
    required to compute a solution shape P with at most one more vertex than a vertex-minimal
    one. Our study is motivated by applications from two different domains. However,
    since the offset operation has numerous uses, we anticipate that the reverse question
    that we study here will be still more broadly applicable. We present results obtained
    with our implementation of the rational-arithmetic algorithm.'
author:
- first_name: Eric
  full_name: Berberich, Eric
  last_name: Berberich
- first_name: Dan
  full_name: Halperin, Dan
  last_name: Halperin
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
- first_name: Roza
  full_name: Pogalnikova, Roza
  last_name: Pogalnikova
citation:
  ama: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate
    offsets. In: <i>Proceedings of the Twenty-Seventh Annual Symposium on Computational
    Geometry</i>. ACM; 2011:187-196. doi:<a href="https://doi.org/10.1145/1998196.1998225">10.1145/1998196.1998225</a>'
  apa: 'Berberich, E., Halperin, D., Kerber, M., &#38; Pogalnikova, R. (2011). Deconstructing
    approximate offsets. In <i>Proceedings of the twenty-seventh annual symposium
    on Computational geometry</i> (pp. 187–196). Paris, France: ACM. <a href="https://doi.org/10.1145/1998196.1998225">https://doi.org/10.1145/1998196.1998225</a>'
  chicago: Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing
    Approximate Offsets.” In <i>Proceedings of the Twenty-Seventh Annual Symposium
    on Computational Geometry</i>, 187–96. ACM, 2011. <a href="https://doi.org/10.1145/1998196.1998225">https://doi.org/10.1145/1998196.1998225</a>.
  ieee: E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing
    approximate offsets,” in <i>Proceedings of the twenty-seventh annual symposium
    on Computational geometry</i>, Paris, France, 2011, pp. 187–196.
  ista: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. 2011. Deconstructing approximate
    offsets. Proceedings of the twenty-seventh annual symposium on Computational geometry.
    SCG: Symposium on Computational Geometry, 187–196.'
  mla: Berberich, Eric, et al. “Deconstructing Approximate Offsets.” <i>Proceedings
    of the Twenty-Seventh Annual Symposium on Computational Geometry</i>, ACM, 2011,
    pp. 187–96, doi:<a href="https://doi.org/10.1145/1998196.1998225">10.1145/1998196.1998225</a>.
  short: E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of
    the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp.
    187–196.
conference:
  end_date: 2011-06-15
  location: Paris, France
  name: 'SCG: Symposium on Computational Geometry'
  start_date: 2011-06-13
date_created: 2018-12-11T12:02:42Z
date_published: 2011-06-13T00:00:00Z
date_updated: 2023-02-23T11:12:57Z
day: '13'
department:
- _id: HeEd
doi: 10.1145/1998196.1998225
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1109.2158
month: '06'
oa: 1
oa_version: Preprint
page: 187 - 196
publication: Proceedings of the twenty-seventh annual symposium on Computational geometry
publication_status: published
publisher: ACM
publist_id: '3306'
quality_controlled: '1'
related_material:
  record:
  - id: '3115'
    relation: later_version
    status: public
scopus_import: 1
status: public
title: Deconstructing approximate offsets
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3330'
abstract:
- lang: eng
  text: We consider the problem of approximating all real roots of a square-free polynomial
    f. Given isolating intervals, our algorithm refines each of them to a width at
    most 2-L, that is, each of the roots is approximated to L bits after the binary
    point. Our method provides a certified answer for arbitrary real polynomials,
    only requiring finite approximations of the polynomial coefficient and choosing
    a suitable working precision adaptively. In this way, we get a correct algorithm
    that is simple to implement and practically efficient. Our algorithm uses the
    quadratic interval refinement method; we adapt that method to be able to cope
    with inaccuracies when evaluating f, without sacrificing its quadratic convergence
    behavior. We prove a bound on the bit complexity of our algorithm in terms of
    degree, coefficient size and discriminant. Our bound improves previous work on
    integer polynomials by a factor of deg f and essentially matches best known theoretical
    bounds on root approximation which are obtained by very sophisticated algorithms.
article_processing_charge: No
arxiv: 1
author:
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
- first_name: Michael
  full_name: Sagraloff, Michael
  last_name: Sagraloff
citation:
  ama: 'Kerber M, Sagraloff M. Root refinement for real polynomials. In: Springer;
    2011:209-216. doi:<a href="https://doi.org/10.1145/1993886.1993920">10.1145/1993886.1993920</a>'
  apa: 'Kerber, M., &#38; Sagraloff, M. (2011). Root refinement for real polynomials
    (pp. 209–216). Presented at the ISSAC: International Symposium on Symbolic and
    Algebraic Computation, California, USA: Springer. <a href="https://doi.org/10.1145/1993886.1993920">https://doi.org/10.1145/1993886.1993920</a>'
  chicago: Kerber, Michael, and Michael Sagraloff. “Root Refinement for Real Polynomials,”
    209–16. Springer, 2011. <a href="https://doi.org/10.1145/1993886.1993920">https://doi.org/10.1145/1993886.1993920</a>.
  ieee: 'M. Kerber and M. Sagraloff, “Root refinement for real polynomials,” presented
    at the ISSAC: International Symposium on Symbolic and Algebraic Computation, California,
    USA, 2011, pp. 209–216.'
  ista: 'Kerber M, Sagraloff M. 2011. Root refinement for real polynomials. ISSAC:
    International Symposium on Symbolic and Algebraic Computation, 209–216.'
  mla: Kerber, Michael, and Michael Sagraloff. <i>Root Refinement for Real Polynomials</i>.
    Springer, 2011, pp. 209–16, doi:<a href="https://doi.org/10.1145/1993886.1993920">10.1145/1993886.1993920</a>.
  short: M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
conference:
  end_date: 2011-06-11
  location: California, USA
  name: 'ISSAC: International Symposium on Symbolic and Algebraic Computation'
  start_date: 2011-06-08
date_created: 2018-12-11T12:02:43Z
date_published: 2011-06-08T00:00:00Z
date_updated: 2021-01-12T07:42:42Z
day: '08'
department:
- _id: HeEd
doi: 10.1145/1993886.1993920
external_id:
  arxiv:
  - '1104.1362'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1104.1362
month: '06'
oa: 1
oa_version: Preprint
page: 209 - 216
publication_status: published
publisher: Springer
publist_id: '3304'
quality_controlled: '1'
scopus_import: 1
status: public
title: Root refinement for real polynomials
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3332'
abstract:
- lang: eng
  text: Given an algebraic hypersurface O in ℝd, how many simplices are necessary
    for a simplicial complex isotopic to O? We address this problem and the variant
    where all vertices of the complex must lie on O. We give asymptotically tight
    worst-case bounds for algebraic plane curves. Our results gradually improve known
    bounds in higher dimensions; however, the question for tight bounds remains unsolved
    for d ≥ 3.
article_processing_charge: No
article_type: original
author:
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
- first_name: Michael
  full_name: Sagraloff, Michael
  last_name: Sagraloff
citation:
  ama: Kerber M, Sagraloff M. A note on the complexity of real algebraic hypersurfaces.
    <i>Graphs and Combinatorics</i>. 2011;27(3):419-430. doi:<a href="https://doi.org/10.1007/s00373-011-1020-7">10.1007/s00373-011-1020-7</a>
  apa: Kerber, M., &#38; Sagraloff, M. (2011). A note on the complexity of real algebraic
    hypersurfaces. <i>Graphs and Combinatorics</i>. Springer. <a href="https://doi.org/10.1007/s00373-011-1020-7">https://doi.org/10.1007/s00373-011-1020-7</a>
  chicago: Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real
    Algebraic Hypersurfaces.” <i>Graphs and Combinatorics</i>. Springer, 2011. <a
    href="https://doi.org/10.1007/s00373-011-1020-7">https://doi.org/10.1007/s00373-011-1020-7</a>.
  ieee: M. Kerber and M. Sagraloff, “A note on the complexity of real algebraic hypersurfaces,”
    <i>Graphs and Combinatorics</i>, vol. 27, no. 3. Springer, pp. 419–430, 2011.
  ista: Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces.
    Graphs and Combinatorics. 27(3), 419–430.
  mla: Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic
    Hypersurfaces.” <i>Graphs and Combinatorics</i>, vol. 27, no. 3, Springer, 2011,
    pp. 419–30, doi:<a href="https://doi.org/10.1007/s00373-011-1020-7">10.1007/s00373-011-1020-7</a>.
  short: M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
date_created: 2018-12-11T12:02:43Z
date_published: 2011-03-17T00:00:00Z
date_updated: 2021-01-12T07:42:43Z
day: '17'
ddc:
- '500'
department:
- _id: HeEd
doi: 10.1007/s00373-011-1020-7
file:
- access_level: open_access
  checksum: a63a1e3e885dcc68f1e3dea68dfbe213
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-19T16:11:36Z
  date_updated: 2020-07-14T12:46:08Z
  file_id: '7869'
  file_name: 2011_GraphsCombi_Kerber.pdf
  file_size: 143976
  relation: main_file
file_date_updated: 2020-07-14T12:46:08Z
has_accepted_license: '1'
intvolume: '        27'
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 419 - 430
publication: Graphs and Combinatorics
publication_status: published
publisher: Springer
publist_id: '3301'
quality_controlled: '1'
scopus_import: 1
status: public
title: A note on the complexity of real algebraic hypersurfaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 27
year: '2011'
...
---
_id: '3334'
article_type: letter_note
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: János
  full_name: Pach, János
  last_name: Pach
- first_name: Günter
  full_name: Ziegler, Günter
  last_name: Ziegler
citation:
  ama: Edelsbrunner H, Pach J, Ziegler G. Letter from the new editors-in-chief. <i>Discrete
    &#38; Computational Geometry</i>. 2011;45(1):1-2. doi:<a href="https://doi.org/10.1007/s00454-010-9313-9">10.1007/s00454-010-9313-9</a>
  apa: Edelsbrunner, H., Pach, J., &#38; Ziegler, G. (2011). Letter from the new editors-in-chief.
    <i>Discrete &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/s00454-010-9313-9">https://doi.org/10.1007/s00454-010-9313-9</a>
  chicago: Edelsbrunner, Herbert, János Pach, and Günter Ziegler. “Letter from the
    New Editors-in-Chief.” <i>Discrete &#38; Computational Geometry</i>. Springer,
    2011. <a href="https://doi.org/10.1007/s00454-010-9313-9">https://doi.org/10.1007/s00454-010-9313-9</a>.
  ieee: H. Edelsbrunner, J. Pach, and G. Ziegler, “Letter from the new editors-in-chief,”
    <i>Discrete &#38; Computational Geometry</i>, vol. 45, no. 1. Springer, pp. 1–2,
    2011.
  ista: Edelsbrunner H, Pach J, Ziegler G. 2011. Letter from the new editors-in-chief.
    Discrete &#38; Computational Geometry. 45(1), 1–2.
  mla: Edelsbrunner, Herbert, et al. “Letter from the New Editors-in-Chief.” <i>Discrete
    &#38; Computational Geometry</i>, vol. 45, no. 1, Springer, 2011, pp. 1–2, doi:<a
    href="https://doi.org/10.1007/s00454-010-9313-9">10.1007/s00454-010-9313-9</a>.
  short: H. Edelsbrunner, J. Pach, G. Ziegler, Discrete &#38; Computational Geometry
    45 (2011) 1–2.
date_created: 2018-12-11T12:02:44Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:44Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s00454-010-9313-9
intvolume: '        45'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 1 - 2
publication: Discrete & Computational Geometry
publication_status: published
publisher: Springer
publist_id: '3297'
quality_controlled: '1'
scopus_import: 1
status: public
title: Letter from the new editors-in-chief
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2011'
...
---
_id: '3335'
abstract:
- lang: eng
  text: We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent
    Betti numbers, which formalize the topological information content of the cosmic
    mass distribution. While the Betti numbers do not fully quantify topology, they
    extend the information beyond conventional cosmological studies of topology in
    terms of genus and Euler characteristic. The richer information content of Betti
    numbers goes along the availability of fast algorithms to compute them. For continuous
    density fields, we determine the scale-dependence of Betti numbers by invoking
    the cosmologically familiar filtration of sublevel or superlevel sets defined
    by density thresholds. For the discrete galaxy distribution, however, the analysis
    is based on the alpha shapes of the particles. These simplicial complexes constitute
    an ordered sequence of nested subsets of the Delaunay tessellation, a filtration
    defined by the scale parameter, α. As they are homotopy equivalent to the sublevel
    sets of the distance field, they are an excellent tool for assessing the topological
    structure of a discrete point distribution. In order to develop an intuitive understanding
    for the behavior of Betti numbers as a function of α, and their relation to the
    morphological patterns in the Cosmic Web, we first study them within the context
    of simple heuristic Voronoi clustering models. These can be tuned to consist of
    specific morphological elements of the Cosmic Web, i.e. clusters, filaments, or
    sheets. To elucidate the relative prominence of the various Betti numbers in different
    stages of morphological evolution, we introduce the concept of alpha tracks. Subsequently,
    we address the topology of structures emerging in the standard LCDM scenario and
    in cosmological scenarios with alternative dark energy content. The evolution
    of the Betti numbers is shown to reflect the hierarchical evolution of the Cosmic
    Web. We also demonstrate that the scale-dependence of the Betti numbers yields
    a promising measure of cosmological parameters, with a potential to help in determining
    the nature of dark energy and to probe primordial non-Gaussianities. We also discuss
    the expected Betti numbers as a function of the density threshold for superlevel
    sets of a Gaussian random field. Finally, we introduce the concept of persistent
    homology. It measures scale levels of the mass distribution and allows us to separate
    small from large scale features. Within the context of the hierarchical cosmic
    structure formation, persistence provides a natural formalism for a multiscale
    topology study of the Cosmic Web.
alternative_title:
- LNCS
arxiv: 1
author:
- first_name: Rien
  full_name: Van De Weygaert, Rien
  last_name: Van De Weygaert
- first_name: Gert
  full_name: Vegter, Gert
  last_name: Vegter
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Bernard
  full_name: Jones, Bernard
  last_name: Jones
- first_name: Pratyush
  full_name: Pranav, Pratyush
  last_name: Pranav
- first_name: Changbom
  full_name: Park, Changbom
  last_name: Park
- first_name: Wojciech
  full_name: Hellwing, Wojciech
  last_name: Hellwing
- first_name: Bob
  full_name: Eldering, Bob
  last_name: Eldering
- first_name: Nico
  full_name: Kruithof, Nico
  last_name: Kruithof
- first_name: Patrick
  full_name: Bos, Patrick
  last_name: Bos
- first_name: Johan
  full_name: Hidding, Johan
  last_name: Hidding
- first_name: Job
  full_name: Feldbrugge, Job
  last_name: Feldbrugge
- first_name: Eline
  full_name: Ten Have, Eline
  last_name: Ten Have
- first_name: Matti
  full_name: Van Engelen, Matti
  last_name: Van Engelen
- first_name: Manuel
  full_name: Caroli, Manuel
  last_name: Caroli
- first_name: Monique
  full_name: Teillaud, Monique
  last_name: Teillaud
citation:
  ama: 'Van De Weygaert R, Vegter G, Edelsbrunner H, et al. Alpha, Betti and the Megaparsec
    Universe: On the topology of the Cosmic Web. In: Gavrilova M, Tan K, Mostafavi
    M, eds. <i>Transactions on Computational Science XIV</i>. Vol 6970. Special Issue
    on Voronoi Diagrams and Delaunay Triangulation. Springer; 2011:60-101. doi:<a
    href="https://doi.org/10.1007/978-3-642-25249-5_3">10.1007/978-3-642-25249-5_3</a>'
  apa: 'Van De Weygaert, R., Vegter, G., Edelsbrunner, H., Jones, B., Pranav, P.,
    Park, C., … Teillaud, M. (2011). Alpha, Betti and the Megaparsec Universe: On
    the topology of the Cosmic Web. In M. Gavrilova, K. Tan, &#38; M. Mostafavi (Eds.),
    <i>Transactions on Computational Science XIV</i> (Vol. 6970, pp. 60–101). Springer.
    <a href="https://doi.org/10.1007/978-3-642-25249-5_3">https://doi.org/10.1007/978-3-642-25249-5_3</a>'
  chicago: 'Van De Weygaert, Rien, Gert Vegter, Herbert Edelsbrunner, Bernard Jones,
    Pratyush Pranav, Changbom Park, Wojciech Hellwing, et al. “Alpha, Betti and the
    Megaparsec Universe: On the Topology of the Cosmic Web.” In <i>Transactions on
    Computational Science XIV</i>, edited by Marina Gavrilova, Kenneth Tan, and Mir
    Mostafavi, 6970:60–101. Special Issue on Voronoi Diagrams and Delaunay Triangulation.
    Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-25249-5_3">https://doi.org/10.1007/978-3-642-25249-5_3</a>.'
  ieee: 'R. Van De Weygaert <i>et al.</i>, “Alpha, Betti and the Megaparsec Universe:
    On the topology of the Cosmic Web,” in <i>Transactions on Computational Science
    XIV</i>, vol. 6970, M. Gavrilova, K. Tan, and M. Mostafavi, Eds. Springer, 2011,
    pp. 60–101.'
  ista: 'Van De Weygaert R, Vegter G, Edelsbrunner H, Jones B, Pranav P, Park C, Hellwing
    W, Eldering B, Kruithof N, Bos P, Hidding J, Feldbrugge J, Ten Have E, Van Engelen
    M, Caroli M, Teillaud M. 2011.Alpha, Betti and the Megaparsec Universe: On the
    topology of the Cosmic Web. In: Transactions on Computational Science XIV. LNCS,
    vol. 6970, 60–101.'
  mla: 'Van De Weygaert, Rien, et al. “Alpha, Betti and the Megaparsec Universe: On
    the Topology of the Cosmic Web.” <i>Transactions on Computational Science XIV</i>,
    edited by Marina Gavrilova et al., vol. 6970, Springer, 2011, pp. 60–101, doi:<a
    href="https://doi.org/10.1007/978-3-642-25249-5_3">10.1007/978-3-642-25249-5_3</a>.'
  short: R. Van De Weygaert, G. Vegter, H. Edelsbrunner, B. Jones, P. Pranav, C. Park,
    W. Hellwing, B. Eldering, N. Kruithof, P. Bos, J. Hidding, J. Feldbrugge, E. Ten
    Have, M. Van Engelen, M. Caroli, M. Teillaud, in:, M. Gavrilova, K. Tan, M. Mostafavi
    (Eds.), Transactions on Computational Science XIV, Springer, 2011, pp. 60–101.
date_created: 2018-12-11T12:02:44Z
date_published: 2011-11-09T00:00:00Z
date_updated: 2021-01-12T07:42:44Z
day: '09'
department:
- _id: HeEd
doi: 10.1007/978-3-642-25249-5_3
editor:
- first_name: Marina
  full_name: Gavrilova, Marina
  last_name: Gavrilova
- first_name: Kenneth
  full_name: Tan, Kenneth
  last_name: Tan
- first_name: Mir
  full_name: Mostafavi, Mir
  last_name: Mostafavi
external_id:
  arxiv:
  - '1306.3640'
intvolume: '      6970'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1306.3640
month: '11'
oa: 1
oa_version: Preprint
page: 60 - 101
publication: Transactions on Computational Science XIV
publication_status: published
publisher: Springer
publist_id: '3295'
quality_controlled: '1'
scopus_import: 1
series_title: Special Issue on Voronoi Diagrams and Delaunay Triangulation
status: public
title: 'Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web'
type: book_chapter
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6970
year: '2011'
...
---
_id: '3336'
abstract:
- lang: eng
  text: 'We introduce TopoCut: a new way to integrate knowledge about topological
    properties (TPs) into random field image segmentation model. Instead of including
    TPs as additional constraints during minimization of the energy function, we devise
    an efficient algorithm for modifying the unary potentials such that the resulting
    segmentation is guaranteed with the desired properties. Our method is more flexible
    in the sense that it handles more topology constraints than previous methods,
    which were only able to enforce pairwise or global connectivity. In particular,
    our method is very fast, making it for the first time possible to enforce global
    topological properties in practical image segmentation tasks.'
acknowledgement: The first author is supported by the Austrian Science Fund (FWF)
  grant No. P20134-N13. The authors would like to thank Sebastian Nowozin for helpful
  discussions.
article_processing_charge: No
author:
- first_name: Chao
  full_name: Chen, Chao
  id: 3E92416E-F248-11E8-B48F-1D18A9856A87
  last_name: Chen
- first_name: Daniel
  full_name: Freedman, Daniel
  last_name: Freedman
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Chen C, Freedman D, Lampert C. Enforcing topological constraints in random
    field image segmentation. In: <i>CVPR: Computer Vision and Pattern Recognition</i>.
    IEEE; 2011:2089-2096. doi:<a href="https://doi.org/10.1109/CVPR.2011.5995503">10.1109/CVPR.2011.5995503</a>'
  apa: 'Chen, C., Freedman, D., &#38; Lampert, C. (2011). Enforcing topological constraints
    in random field image segmentation. In <i>CVPR: Computer Vision and Pattern Recognition</i>
    (pp. 2089–2096). Colorado Springs, CO, United States: IEEE. <a href="https://doi.org/10.1109/CVPR.2011.5995503">https://doi.org/10.1109/CVPR.2011.5995503</a>'
  chicago: 'Chen, Chao, Daniel Freedman, and Christoph Lampert. “Enforcing Topological
    Constraints in Random Field Image Segmentation.” In <i>CVPR: Computer Vision and
    Pattern Recognition</i>, 2089–96. IEEE, 2011. <a href="https://doi.org/10.1109/CVPR.2011.5995503">https://doi.org/10.1109/CVPR.2011.5995503</a>.'
  ieee: 'C. Chen, D. Freedman, and C. Lampert, “Enforcing topological constraints
    in random field image segmentation,” in <i>CVPR: Computer Vision and Pattern Recognition</i>,
    Colorado Springs, CO, United States, 2011, pp. 2089–2096.'
  ista: 'Chen C, Freedman D, Lampert C. 2011. Enforcing topological constraints in
    random field image segmentation. CVPR: Computer Vision and Pattern Recognition.
    CVPR: Conference on Computer Vision and Pattern Recognition, 2089–2096.'
  mla: 'Chen, Chao, et al. “Enforcing Topological Constraints in Random Field Image
    Segmentation.” <i>CVPR: Computer Vision and Pattern Recognition</i>, IEEE, 2011,
    pp. 2089–96, doi:<a href="https://doi.org/10.1109/CVPR.2011.5995503">10.1109/CVPR.2011.5995503</a>.'
  short: 'C. Chen, D. Freedman, C. Lampert, in:, CVPR: Computer Vision and Pattern
    Recognition, IEEE, 2011, pp. 2089–2096.'
conference:
  end_date: 2011-06-25
  location: Colorado Springs, CO, United States
  name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
  start_date: 2011-06-20
date_created: 2018-12-11T12:02:45Z
date_published: 2011-07-22T00:00:00Z
date_updated: 2023-02-23T12:23:56Z
day: '22'
department:
- _id: HeEd
- _id: ChLa
doi: 10.1109/CVPR.2011.5995503
language:
- iso: eng
month: '07'
oa_version: None
page: 2089 - 2096
publication: 'CVPR: Computer Vision and Pattern Recognition'
publication_identifier:
  eisbn:
  - 978-1-4577-0395-9
  isbn:
  - 978-1-4577-0394-2
publication_status: published
publisher: IEEE
publist_id: '3294'
quality_controlled: '1'
related_material:
  record:
  - id: '5386'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Enforcing topological constraints in random field image segmentation
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3337'
abstract:
- lang: eng
  text: Playing table tennis is a difficult task for robots, especially due to their
    limitations of acceleration. A key bottleneck is the amount of time needed to
    reach the desired hitting position and velocity of the racket for returning the
    incoming ball. Here, it often does not suffice to simply extrapolate the ball's
    trajectory after the opponent returns it but more information is needed. Humans
    are able to predict the ball's trajectory based on the opponent's moves and, thus,
    have a considerable advantage. Hence, we propose to incorporate an anticipation
    system into robot table tennis players, which enables the robot to react earlier
    while the opponent is performing the striking movement. Based on visual observation
    of the opponent's racket movement, the robot can predict the aim of the opponent
    and adjust its movement generation accordingly. The policies for deciding how
    and when to react are obtained by reinforcement learning. We conduct experiments
    with an existing robot player to show that the learned reaction policy can significantly
    improve the performance of the overall system.
author:
- first_name: Zhikun
  full_name: Wang, Zhikun
  last_name: Wang
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Katharina
  full_name: Mülling, Katharina
  last_name: Mülling
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Jan
  full_name: Peters, Jan
  last_name: Peters
citation:
  ama: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. Learning anticipation
    policies for robot table tennis. In: IEEE; 2011:332-337. doi:<a href="https://doi.org/10.1109/IROS.2011.6094892">10.1109/IROS.2011.6094892</a>'
  apa: 'Wang, Z., Lampert, C., Mülling, K., Schölkopf, B., &#38; Peters, J. (2011).
    Learning anticipation policies for robot table tennis (pp. 332–337). Presented
    at the IROS: RSJ International Conference on Intelligent Robots and Systems, San
    Francisco, USA: IEEE. <a href="https://doi.org/10.1109/IROS.2011.6094892">https://doi.org/10.1109/IROS.2011.6094892</a>'
  chicago: Wang, Zhikun, Christoph Lampert, Katharina Mülling, Bernhard Schölkopf,
    and Jan Peters. “Learning Anticipation Policies for Robot Table Tennis,” 332–37.
    IEEE, 2011. <a href="https://doi.org/10.1109/IROS.2011.6094892">https://doi.org/10.1109/IROS.2011.6094892</a>.
  ieee: 'Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, and J. Peters, “Learning anticipation
    policies for robot table tennis,” presented at the IROS: RSJ International Conference
    on Intelligent Robots and Systems, San Francisco, USA, 2011, pp. 332–337.'
  ista: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. 2011. Learning anticipation
    policies for robot table tennis. IROS: RSJ International Conference on Intelligent
    Robots and Systems, 332–337.'
  mla: Wang, Zhikun, et al. <i>Learning Anticipation Policies for Robot Table Tennis</i>.
    IEEE, 2011, pp. 332–37, doi:<a href="https://doi.org/10.1109/IROS.2011.6094892">10.1109/IROS.2011.6094892</a>.
  short: Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, J. Peters, in:, IEEE, 2011,
    pp. 332–337.
conference:
  end_date: 2011-09-30
  location: San Francisco, USA
  name: 'IROS: RSJ International Conference on Intelligent Robots and Systems'
  start_date: 2011-09-25
date_created: 2018-12-11T12:02:45Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:45Z
day: '01'
department:
- _id: ChLa
doi: 10.1109/IROS.2011.6094892
language:
- iso: eng
month: '01'
oa_version: None
page: 332 - 337
publication_status: published
publisher: IEEE
publist_id: '3293'
quality_controlled: '1'
scopus_import: 1
status: public
title: Learning anticipation policies for robot table tennis
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3338'
abstract:
- lang: eng
  text: 'We consider 2-player games played on a finite state space for an infinite
    number of rounds. The games are concurrent: in each round, the two players (player
    1 and player 2) choose their moves inde- pendently and simultaneously; the current
    state and the two moves determine the successor state. We study concurrent games
    with ω-regular winning conditions specified as parity objectives. We consider
    the qualitative analysis problems: the computation of the almost-sure and limit-sure
    winning set of states, where player 1 can ensure to win with probability 1 and
    with probability arbitrarily close to 1, respec- tively. In general the almost-sure
    and limit-sure winning strategies require both infinite-memory as well as infinite-precision
    (to describe probabilities). We study the bounded-rationality problem for qualitative
    analysis of concurrent parity games, where the strategy set for player 1 is restricted
    to bounded-resource strategies. In terms of precision, strategies can be deterministic,
    uniform, finite-precision or infinite- precision; and in terms of memory, strategies
    can be memoryless, finite-memory or infinite-memory. We present a precise and
    complete characterization of the qualitative winning sets for all combinations
    of classes of strategies. In particular, we show that uniform memoryless strategies
    are as powerful as finite-precision infinite-memory strategies, and infinite-precision
    memoryless strategies are as power- ful as infinite-precision finite-memory strategies.
    We show that the winning sets can be computed in O(n2d+3) time, where n is the
    size of the game structure and 2d is the number of priorities (or colors), and
    our algorithms are symbolic. The membership problem of whether a state belongs
    to a winning set can be decided in NP ∩ coNP. While this complexity is the same
    as for the simpler class of turn-based parity games, where in each state only
    one of the two players has a choice of moves, our algorithms, that are obtained
    by characterization of the winning sets as μ-calculus formulas, are considerably
    more involved than those for turn-based games.'
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Chatterjee K. Bounded rationality in concurrent parity games. <i>arXiv</i>.
    2011:1-51.
  apa: Chatterjee, K. (2011). Bounded rationality in concurrent parity games. <i>arXiv</i>.
    ArXiv.
  chicago: Chatterjee, Krishnendu. “Bounded Rationality in Concurrent Parity Games.”
    <i>ArXiv</i>. ArXiv, 2011.
  ieee: K. Chatterjee, “Bounded rationality in concurrent parity games,” <i>arXiv</i>.
    ArXiv, pp. 1–51, 2011.
  ista: Chatterjee K. 2011. Bounded rationality in concurrent parity games. arXiv,
    1–51, .
  mla: Chatterjee, Krishnendu. “Bounded Rationality in Concurrent Parity Games.” <i>ArXiv</i>,
    ArXiv, 2011, pp. 1–51.
  short: K. Chatterjee, ArXiv (2011) 1–51.
date_created: 2018-12-11T12:02:45Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2023-02-23T12:23:40Z
day: '11'
department:
- _id: KrCh
external_id:
  arxiv:
  - '1107.2146'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1107.2146
month: '07'
oa: 1
oa_version: Preprint
page: 1 - 51
publication: arXiv
publication_status: published
publisher: ArXiv
publist_id: '3287'
related_material:
  record:
  - id: '5380'
    relation: earlier_version
    status: public
status: public
title: Bounded rationality in concurrent parity games
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3339'
abstract:
- lang: eng
  text: 'Turn-based stochastic games and its important subclass Markov decision processes
    (MDPs) provide models for systems with both probabilistic and nondeterministic
    behaviors. We consider turn-based stochastic games with two classical quantitative
    objectives: discounted-sum and long-run average objectives. The game models and
    the quantitative objectives are widely used in probabilistic verification, planning,
    optimal inventory control, network protocol and performance analysis. Games and
    MDPs that model realistic systems often have very large state spaces, and probabilistic
    abstraction techniques are necessary to handle the state-space explosion. The
    commonly used full-abstraction techniques do not yield space-savings for systems
    that have many states with similar value, but does not necessarily have similar
    transition structure. A semi-abstraction technique, namely Magnifying-lens abstractions
    (MLA), that clusters states based on value only, disregarding differences in their
    transition relation was proposed for qualitative objectives (reachability and
    safety objectives). In this paper we extend the MLA technique to solve stochastic
    games with discounted-sum and long-run average objectives. We present the MLA
    technique based abstraction-refinement algorithm for stochastic games and MDPs
    with discounted-sum objectives. For long-run average objectives, our solution
    works for all MDPs and a sub-class of stochastic games where every state has the
    same value. '
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: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Roy
  full_name: Pritam, Roy
  last_name: Pritam
citation:
  ama: Chatterjee K, De Alfaro L, Pritam R. Magnifying lens abstraction for stochastic
    games with discounted and long-run average objectives. <i>arXiv</i>. 2011.
  apa: Chatterjee, K., De Alfaro, L., &#38; Pritam, R. (2011). Magnifying lens abstraction
    for stochastic games with discounted and long-run average objectives. <i>arXiv</i>.
    ArXiv.
  chicago: Chatterjee, Krishnendu, Luca De Alfaro, and Roy Pritam. “Magnifying Lens
    Abstraction for Stochastic Games with Discounted and Long-Run Average Objectives.”
    <i>ArXiv</i>. ArXiv, 2011.
  ieee: K. Chatterjee, L. De Alfaro, and R. Pritam, “Magnifying lens abstraction for
    stochastic games with discounted and long-run average objectives,” <i>arXiv</i>.
    ArXiv, 2011.
  ista: Chatterjee K, De Alfaro L, Pritam R. 2011. Magnifying lens abstraction for
    stochastic games with discounted and long-run average objectives. arXiv, .
  mla: Chatterjee, Krishnendu, et al. “Magnifying Lens Abstraction for Stochastic
    Games with Discounted and Long-Run Average Objectives.” <i>ArXiv</i>, ArXiv, 2011.
  short: K. Chatterjee, L. De Alfaro, R. Pritam, ArXiv (2011).
date_created: 2018-12-11T12:02:46Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2021-01-12T07:42:46Z
day: '11'
department:
- _id: KrCh
external_id:
  arxiv:
  - '1107.2132'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1107.2132
month: '07'
oa: 1
oa_version: Preprint
page: '17'
publication: arXiv
publication_status: published
publisher: ArXiv
publist_id: '3286'
status: public
title: Magnifying lens abstraction for stochastic games with discounted and long-run
  average objectives
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3342'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with ω-regular specifications
    given as parity objectives. We consider the problem of computing the set of almost-sure
    winning states from where the objective can be ensured with probability 1. The
    algorithms for the computation of the almost-sure winning set for parity objectives
    iteratively use the solutions for the almost-sure winning set for Büchi objectives
    (a special case of parity objectives). Our contributions are as follows: First,
    we present the first subquadratic symbolic algorithm to compute the almost-sure
    winning set for MDPs with Büchi objectives; our algorithm takes O(nm)  symbolic
    steps as compared to the previous known algorithm that takes O(n 2) symbolic steps,
    where n is the number of states and m is the number of edges of the MDP. In practice
    MDPs often have constant out-degree, and then our symbolic algorithm takes O(nn)  symbolic
    steps, as compared to the previous known O(n 2) symbolic steps algorithm. Second,
    we present a new algorithm, namely win-lose algorithm, with the following two
    properties: (a) the algorithm iteratively computes subsets of the almost-sure
    winning set and its complement, as compared to all previous algorithms that discover
    the almost-sure winning set upon termination; and (b) requires O(nK)  symbolic
    steps, where K is the maximal number of edges of strongly connected components
    (scc’s) of the MDP. The win-lose algorithm requires symbolic computation of scc’s.
    Third, we improve the algorithm for symbolic scc computation; the previous known
    algorithm takes linear symbolic steps, and our new algorithm improves the constants
    associated with the linear number of steps. In the worst case the previous known
    algorithm takes 5·n symbolic steps, whereas our new algorithm takes 4 ·n symbolic
    steps.'
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: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Manas
  full_name: Joglekar, Manas
  last_name: Joglekar
- first_name: Shah
  full_name: Nisarg, Shah
  last_name: Nisarg
citation:
  ama: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. Symbolic algorithms for
    qualitative analysis of Markov decision processes with Büchi objectives. In: Gopalakrishnan
    G, Qadeer S, eds. Vol 6806. Springer; 2011:260-276. doi:<a href="https://doi.org/10.1007/978-3-642-22110-1_21">10.1007/978-3-642-22110-1_21</a>'
  apa: 'Chatterjee, K., Henzinger, M. H., Joglekar, M., &#38; Nisarg, S. (2011). Symbolic
    algorithms for qualitative analysis of Markov decision processes with Büchi objectives.
    In G. Gopalakrishnan &#38; S. Qadeer (Eds.) (Vol. 6806, pp. 260–276). Presented
    at the CAV: Computer Aided Verification, Snowbird, USA: Springer. <a href="https://doi.org/10.1007/978-3-642-22110-1_21">https://doi.org/10.1007/978-3-642-22110-1_21</a>'
  chicago: Chatterjee, Krishnendu, Monika H Henzinger, Manas Joglekar, and Shah Nisarg.
    “Symbolic Algorithms for Qualitative Analysis of Markov Decision Processes with
    Büchi Objectives.” edited by Ganesh Gopalakrishnan and Shaz Qadeer, 6806:260–76.
    Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-22110-1_21">https://doi.org/10.1007/978-3-642-22110-1_21</a>.
  ieee: 'K. Chatterjee, M. H. Henzinger, M. Joglekar, and S. Nisarg, “Symbolic algorithms
    for qualitative analysis of Markov decision processes with Büchi objectives,”
    presented at the CAV: Computer Aided Verification, Snowbird, USA, 2011, vol. 6806,
    pp. 260–276.'
  ista: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. 2011. Symbolic algorithms
    for qualitative analysis of Markov decision processes with Büchi objectives. CAV:
    Computer Aided Verification, LNCS, vol. 6806, 260–276.'
  mla: Chatterjee, Krishnendu, et al. <i>Symbolic Algorithms for Qualitative Analysis
    of Markov Decision Processes with Büchi Objectives</i>. Edited by Ganesh Gopalakrishnan
    and Shaz Qadeer, vol. 6806, Springer, 2011, pp. 260–76, doi:<a href="https://doi.org/10.1007/978-3-642-22110-1_21">10.1007/978-3-642-22110-1_21</a>.
  short: K. Chatterjee, M.H. Henzinger, M. Joglekar, S. Nisarg, in:, G. Gopalakrishnan,
    S. Qadeer (Eds.), Springer, 2011, pp. 260–276.
conference:
  end_date: 2011-07-20
  location: Snowbird, USA
  name: 'CAV: Computer Aided Verification'
  start_date: 2011-07-14
date_created: 2018-12-11T12:02:47Z
date_published: 2011-08-11T00:00:00Z
date_updated: 2023-02-23T11:00:13Z
day: '11'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22110-1_21
editor:
- first_name: Ganesh
  full_name: Gopalakrishnan, Ganesh
  last_name: Gopalakrishnan
- first_name: Shaz
  full_name: Qadeer, Shaz
  last_name: Qadeer
external_id:
  arxiv:
  - '1104.3348'
intvolume: '      6806'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1104.3348
month: '08'
oa: 1
oa_version: Preprint
page: 260 - 276
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3282'
quality_controlled: '1'
related_material:
  record:
  - id: '2831'
    relation: later_version
    status: public
status: public
title: Symbolic algorithms for qualitative analysis of Markov decision processes with
  Büchi objectives
type: conference
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 6806
year: '2011'
...
