---
_id: '18371'
abstract:
- lang: eng
  text: We consider the problem of exact and inexact matching of weighted undirected
    graphs, in which a bijective correspondence is sought to minimize a quadratic
    weight disagreement. This computationally challenging problem is often relaxed
    as a convex quadratic program, in which the space of permutations is replaced
    by the space of doubly stochastic matrices. However, the applicability of such
    a relaxation is poorly understood. We define a broad class of friendly graphs
    characterized by an easily verifiable spectral property. We prove that for friendly
    graphs, the convex relaxation is guaranteed to find the exact isomorphism or certify
    its inexistence. This result is further extended to approximately isomorphic graphs,
    for which we develop an explicit bound on the amount of weight disagreement under
    which the relaxation is guaranteed to find the globally optimal approximate isomorphism.
    We also show that in many cases, the graph matching problem can be further harmlessly
    relaxed to a convex quadratic program with only n separable linear equality constraints,
    which is substantially more efficient than the standard relaxation involving 2n
    equality and n2 inequality constraints. Finally, we show that our results are
    still valid for unfriendly graphs if additional information in the form of seeds
    or attributes is allowed, with the latter satisfying an easy to verify spectral
    characteristic.
article_processing_charge: No
article_type: original
author:
- first_name: Yonathan
  full_name: Aflalo, Yonathan
  last_name: Aflalo
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
citation:
  ama: Aflalo Y, Bronstein AM, Kimmel R. On convex relaxation of graph isomorphism.
    <i>Proceedings of the National Academy of Sciences</i>. 2015;112(10):2942-2947.
    doi:<a href="https://doi.org/10.1073/pnas.1401651112">10.1073/pnas.1401651112</a>
  apa: Aflalo, Y., Bronstein, A. M., &#38; Kimmel, R. (2015). On convex relaxation
    of graph isomorphism. <i>Proceedings of the National Academy of Sciences</i>.
    National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.1401651112">https://doi.org/10.1073/pnas.1401651112</a>
  chicago: Aflalo, Yonathan, Alex M. Bronstein, and Ron Kimmel. “On Convex Relaxation
    of Graph Isomorphism.” <i>Proceedings of the National Academy of Sciences</i>.
    National Academy of Sciences, 2015. <a href="https://doi.org/10.1073/pnas.1401651112">https://doi.org/10.1073/pnas.1401651112</a>.
  ieee: Y. Aflalo, A. M. Bronstein, and R. Kimmel, “On convex relaxation of graph
    isomorphism,” <i>Proceedings of the National Academy of Sciences</i>, vol. 112,
    no. 10. National Academy of Sciences, pp. 2942–2947, 2015.
  ista: Aflalo Y, Bronstein AM, Kimmel R. 2015. On convex relaxation of graph isomorphism.
    Proceedings of the National Academy of Sciences. 112(10), 2942–2947.
  mla: Aflalo, Yonathan, et al. “On Convex Relaxation of Graph Isomorphism.” <i>Proceedings
    of the National Academy of Sciences</i>, vol. 112, no. 10, National Academy of
    Sciences, 2015, pp. 2942–47, doi:<a href="https://doi.org/10.1073/pnas.1401651112">10.1073/pnas.1401651112</a>.
  short: Y. Aflalo, A.M. Bronstein, R. Kimmel, Proceedings of the National Academy
    of Sciences 112 (2015) 2942–2947.
date_created: 2024-10-15T11:20:54Z
date_published: 2015-03-10T00:00:00Z
date_updated: 2024-11-12T08:54:37Z
day: '10'
doi: 10.1073/pnas.1401651112
extern: '1'
external_id:
  pmid:
  - '25713342'
fulldoi: https://doi.org/10.1073/pnas.1401651112
intvolume: '       112'
issue: '10'
language:
- iso: eng
month: '03'
oa_version: None
page: 2942-2947
pmid: 1
publication: Proceedings of the National Academy of Sciences
publication_identifier:
  eissn:
  - 1091-6490
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: On convex relaxation of graph isomorphism
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2015'
...
---
_id: '1838'
abstract:
- lang: eng
  text: Synthesis of program parts is particularly useful for concurrent systems.
    However, most approaches do not support common design tasks, like modifying a
    single process without having to re-synthesize or verify the whole system. Assume-guarantee
    synthesis (AGS) provides robustness against modifications of system parts, but
    thus far has been limited to the perfect information setting. This means that
    local variables cannot be hidden from other processes, which renders synthesis
    results cumbersome or even impossible to realize.We resolve this shortcoming by
    defining AGS under partial information. We analyze the complexity and decidability
    in different settings, showing that the problem has a high worstcase complexity
    and is undecidable in many interesting cases. Based on these observations, we
    present a pragmatic algorithm based on bounded synthesis, and demonstrate its
    practical applicability on several examples.
acknowledgement: 'This work was supported by the Austrian Science Fund (FWF) through
  the research network RiSE (S11406-N23, S11407-N23) and grant nr. P23499-N23, by
  the European Commission through an ERC Start grant (279307: Graph Games) and project
  STANCE (317753), as well as by the German Research Foundation (DFG) through SFB/TR
  14 AVACS and project ASDPS(JA 2357/2-1).'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
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: Swen
  full_name: Jacobs, Swen
  last_name: Jacobs
- first_name: Robert
  full_name: Könighofer, Robert
  last_name: Könighofer
citation:
  ama: 'Bloem R, Chatterjee K, Jacobs S, Könighofer R. Assume-guarantee synthesis
    for concurrent reactive programs with partial information. In: Vol 9035. Springer;
    2015:517-532. doi:<a href="https://doi.org/10.1007/978-3-662-46681-0_50">10.1007/978-3-662-46681-0_50</a>'
  apa: 'Bloem, R., Chatterjee, K., Jacobs, S., &#38; Könighofer, R. (2015). Assume-guarantee
    synthesis for concurrent reactive programs with partial information (Vol. 9035,
    pp. 517–532). Presented at the TACAS: Tools and Algorithms for the Construction
    and Analysis of Systems, London, United Kingdom: Springer. <a href="https://doi.org/10.1007/978-3-662-46681-0_50">https://doi.org/10.1007/978-3-662-46681-0_50</a>'
  chicago: Bloem, Roderick, Krishnendu Chatterjee, Swen Jacobs, and Robert Könighofer.
    “Assume-Guarantee Synthesis for Concurrent Reactive Programs with Partial Information,”
    9035:517–32. Springer, 2015. <a href="https://doi.org/10.1007/978-3-662-46681-0_50">https://doi.org/10.1007/978-3-662-46681-0_50</a>.
  ieee: 'R. Bloem, K. Chatterjee, S. Jacobs, and R. Könighofer, “Assume-guarantee
    synthesis for concurrent reactive programs with partial information,” presented
    at the TACAS: Tools and Algorithms for the Construction and Analysis of Systems,
    London, United Kingdom, 2015, vol. 9035, pp. 517–532.'
  ista: 'Bloem R, Chatterjee K, Jacobs S, Könighofer R. 2015. Assume-guarantee synthesis
    for concurrent reactive programs with partial information. TACAS: Tools and Algorithms
    for the Construction and Analysis of Systems, LNCS, vol. 9035, 517–532.'
  mla: Bloem, Roderick, et al. <i>Assume-Guarantee Synthesis for Concurrent Reactive
    Programs with Partial Information</i>. Vol. 9035, Springer, 2015, pp. 517–32,
    doi:<a href="https://doi.org/10.1007/978-3-662-46681-0_50">10.1007/978-3-662-46681-0_50</a>.
  short: R. Bloem, K. Chatterjee, S. Jacobs, R. Könighofer, in:, Springer, 2015, pp.
    517–532.
conference:
  end_date: 2015-04-18
  location: London, United Kingdom
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2015-04-11
date_created: 2018-12-11T11:54:17Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-06-11T07:09:03Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-46681-0_50
ec_funded: 1
external_id:
  arxiv:
  - '1411.4604'
fulldoi: https://doi.org/10.1007/978-3-662-46681-0_50
intvolume: '      9035'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1411.4604
month: '01'
oa: 1
oa_version: Preprint
page: 517 - 532
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_status: published
publisher: Springer
publist_id: '5264'
scopus_import: '1'
status: public
title: Assume-guarantee synthesis for concurrent reactive programs with partial information
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9035
year: '2015'
...
---
_id: '18380'
abstract:
- lang: eng
  text: This work presents a novel approach for detecting inliers in a given set of
    correspondences (matches). It does so without explicitly identifying any consensus
    set, based on a method for inlier rate estimation (IRE). Given such an estimator
    for the inlier rate, we also present an algorithm that detects a globally optimal
    transformation. We provide a theoretical analysis of the IRE method using a stochastic
    generative model on the continuous spaces of matches and transformations. This
    model allows rigorous investigation of the limits of our IRE method for the case
    of 2D-translation, further giving bounds and insights for the more general case.
    Our theoretical analysis is validated empirically and is shown to hold in practice
    for the more general case of 2D-affinities. In addition, we show that the combined
    framework works on challenging cases of 2D-homography estimation, with very few
    and possibly noisy inliers, where RANSAC generally fails.
article_number: '7299161'
article_processing_charge: No
author:
- first_name: Roee
  full_name: Litman, Roee
  last_name: Litman
- first_name: Simon
  full_name: Korman, Simon
  last_name: Korman
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Shai
  full_name: Avidan, Shai
  last_name: Avidan
citation:
  ama: 'Litman R, Korman S, Bronstein AM, Avidan S. Inverting RANSAC: Global model
    detection via inlier rate estimation. In: <i>2015 IEEE Conference on Computer
    Vision and Pattern Recognition (CVPR)</i>. IEEE; 2015. doi:<a href="https://doi.org/10.1109/cvpr.2015.7299161">10.1109/cvpr.2015.7299161</a>'
  apa: 'Litman, R., Korman, S., Bronstein, A. M., &#38; Avidan, S. (2015). Inverting
    RANSAC: Global model detection via inlier rate estimation. In <i>2015 IEEE Conference
    on Computer Vision and Pattern Recognition (CVPR)</i>. Boston, MA, United States:
    IEEE. <a href="https://doi.org/10.1109/cvpr.2015.7299161">https://doi.org/10.1109/cvpr.2015.7299161</a>'
  chicago: 'Litman, Roee, Simon Korman, Alex M. Bronstein, and Shai Avidan. “Inverting
    RANSAC: Global Model Detection via Inlier Rate Estimation.” In <i>2015 IEEE Conference
    on Computer Vision and Pattern Recognition (CVPR)</i>. IEEE, 2015. <a href="https://doi.org/10.1109/cvpr.2015.7299161">https://doi.org/10.1109/cvpr.2015.7299161</a>.'
  ieee: 'R. Litman, S. Korman, A. M. Bronstein, and S. Avidan, “Inverting RANSAC:
    Global model detection via inlier rate estimation,” in <i>2015 IEEE Conference
    on Computer Vision and Pattern Recognition (CVPR)</i>, Boston, MA, United States,
    2015.'
  ista: 'Litman R, Korman S, Bronstein AM, Avidan S. 2015. Inverting RANSAC: Global
    model detection via inlier rate estimation. 2015 IEEE Conference on Computer Vision
    and Pattern Recognition (CVPR). IEEE Conference on Computer Vision and Pattern
    Recognition, 7299161.'
  mla: 'Litman, Roee, et al. “Inverting RANSAC: Global Model Detection via Inlier
    Rate Estimation.” <i>2015 IEEE Conference on Computer Vision and Pattern Recognition
    (CVPR)</i>, 7299161, IEEE, 2015, doi:<a href="https://doi.org/10.1109/cvpr.2015.7299161">10.1109/cvpr.2015.7299161</a>.'
  short: R. Litman, S. Korman, A.M. Bronstein, S. Avidan, in:, 2015 IEEE Conference
    on Computer Vision and Pattern Recognition (CVPR), IEEE, 2015.
conference:
  end_date: 2015-06-12
  location: Boston, MA, United States
  name: IEEE Conference on Computer Vision and Pattern Recognition
  start_date: 2015-06-07
date_created: 2024-10-15T11:20:54Z
date_published: 2015-10-15T00:00:00Z
date_updated: 2024-12-04T14:06:06Z
day: '15'
doi: 10.1109/cvpr.2015.7299161
extern: '1'
fulldoi: https://doi.org/10.1109/cvpr.2015.7299161
language:
- iso: eng
month: '10'
oa_version: None
publication: 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
publication_identifier:
  eissn:
  - 1063-6919
  isbn:
  - '9781467369640'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Inverting RANSAC: Global model detection via inlier rate estimation'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '18387'
abstract:
- lang: eng
  text: Sparse models in dictionary learning have been successfully applied in a wide
    variety of machine learning and computer vision problems, and have also recently
    been of increasing research interest. Another interesting related problem based
    on a linear equality constraint, namely the sparse null space problem (SNS), first
    appeared in 1986, and has since inspired results on sparse basis pursuit. In this
    paper, we investigate the relation between the SNS problem and the analysis dictionary
    learning problem, and show that the SNS problem plays a central role, and may
    be utilized to solve dictionary learning problems. Moreover, we propose an efficient
    algorithm of sparse null space basis pursuit, and extend it to a solution of analysis
    dictionary learning. Experimental results on numerical synthetic data and real-world
    data are further presented to validate the performance of our method.
article_number: '7178678'
article_processing_charge: No
author:
- first_name: Xiao
  full_name: Bian, Xiao
  last_name: Bian
- first_name: Hamid
  full_name: Krim, Hamid
  last_name: Krim
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Liyi
  full_name: Dai, Liyi
  last_name: Dai
citation:
  ama: 'Bian X, Krim H, Bronstein AM, Dai L. Sparse null space basis pursuit and analysis
    dictionary learning for high-dimensional data analysis. In: <i>2015 IEEE International
    Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE; 2015.
    doi:<a href="https://doi.org/10.1109/icassp.2015.7178678">10.1109/icassp.2015.7178678</a>'
  apa: 'Bian, X., Krim, H., Bronstein, A. M., &#38; Dai, L. (2015). Sparse null space
    basis pursuit and analysis dictionary learning for high-dimensional data analysis.
    In <i>2015 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>. South Brisbane, QLD, Australia: IEEE. <a href="https://doi.org/10.1109/icassp.2015.7178678">https://doi.org/10.1109/icassp.2015.7178678</a>'
  chicago: Bian, Xiao, Hamid Krim, Alex M. Bronstein, and Liyi Dai. “Sparse Null Space
    Basis Pursuit and Analysis Dictionary Learning for High-Dimensional Data Analysis.”
    In <i>2015 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>. IEEE, 2015. <a href="https://doi.org/10.1109/icassp.2015.7178678">https://doi.org/10.1109/icassp.2015.7178678</a>.
  ieee: X. Bian, H. Krim, A. M. Bronstein, and L. Dai, “Sparse null space basis pursuit
    and analysis dictionary learning for high-dimensional data analysis,” in <i>2015
    IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>,
    South Brisbane, QLD, Australia, 2015.
  ista: Bian X, Krim H, Bronstein AM, Dai L. 2015. Sparse null space basis pursuit
    and analysis dictionary learning for high-dimensional data analysis. 2015 IEEE
    International Conference on Acoustics, Speech and Signal Processing (ICASSP).
    40th IEEE International Conference on Acoustics, Speech, and Signal Processing,
    7178678.
  mla: Bian, Xiao, et al. “Sparse Null Space Basis Pursuit and Analysis Dictionary
    Learning for High-Dimensional Data Analysis.” <i>2015 IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP)</i>, 7178678, IEEE, 2015,
    doi:<a href="https://doi.org/10.1109/icassp.2015.7178678">10.1109/icassp.2015.7178678</a>.
  short: X. Bian, H. Krim, A.M. Bronstein, L. Dai, in:, 2015 IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2015.
conference:
  end_date: 2015-04-24
  location: South Brisbane, QLD, Australia
  name: 40th IEEE International Conference on Acoustics, Speech, and Signal Processing
  start_date: 2015-04-19
date_created: 2024-10-15T11:20:54Z
date_published: 2015-08-06T00:00:00Z
date_updated: 2024-12-04T14:01:05Z
day: '06'
doi: 10.1109/icassp.2015.7178678
extern: '1'
fulldoi: https://doi.org/10.1109/icassp.2015.7178678
language:
- iso: eng
month: '08'
oa_version: None
publication: 2015 IEEE International Conference on Acoustics, Speech and Signal Processing
  (ICASSP)
publication_identifier:
  eisbn:
  - '9781467369978'
  eissn:
  - 2379-190X
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sparse null space basis pursuit and analysis dictionary learning for high-dimensional
  data analysis
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1839'
abstract:
- lang: eng
  text: We present MultiGain, a tool to synthesize strategies for Markov decision
    processes (MDPs) with multiple mean-payoff objectives. Our models are described
    in PRISM, and our tool uses the existing interface and simulator of PRISM. Our
    tool extends PRISM by adding novel algorithms for multiple mean-payoff objectives,
    and also provides features such as (i) generating strategies and exploring them
    for simulation, and checking them with respect to other properties; and (ii) generating
    an approximate Pareto curve for two mean-payoff objectives. In addition, we present
    a new practical algorithm for the analysis of MDPs with multiple mean-payoff objectives
    under memoryless strategies.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Vojtěch
  full_name: Forejt, Vojtěch
  last_name: Forejt
- first_name: Antonín
  full_name: Kučera, Antonín
  last_name: Kučera
citation:
  ama: 'Brázdil T, Chatterjee K, Forejt V, Kučera A. Multigain: A controller synthesis
    tool for MDPs with multiple mean-payoff objectives. 2015;9035:181-187. doi:<a
    href="https://doi.org/10.1007/978-3-662-46681-0_12">10.1007/978-3-662-46681-0_12</a>'
  apa: 'Brázdil, T., Chatterjee, K., Forejt, V., &#38; Kučera, A. (2015). Multigain:
    A controller synthesis tool for MDPs with multiple mean-payoff objectives. Presented
    at the TACAS: Tools and Algorithms for the Construction and Analysis of Systems,
    London, United Kingdom: Springer. <a href="https://doi.org/10.1007/978-3-662-46681-0_12">https://doi.org/10.1007/978-3-662-46681-0_12</a>'
  chicago: 'Brázdil, Tomáš, Krishnendu Chatterjee, Vojtěch Forejt, and Antonín Kučera.
    “Multigain: A Controller Synthesis Tool for MDPs with Multiple Mean-Payoff Objectives.”
    Lecture Notes in Computer Science. Springer, 2015. <a href="https://doi.org/10.1007/978-3-662-46681-0_12">https://doi.org/10.1007/978-3-662-46681-0_12</a>.'
  ieee: 'T. Brázdil, K. Chatterjee, V. Forejt, and A. Kučera, “Multigain: A controller
    synthesis tool for MDPs with multiple mean-payoff objectives,” vol. 9035. Springer,
    pp. 181–187, 2015.'
  ista: 'Brázdil T, Chatterjee K, Forejt V, Kučera A. 2015. Multigain: A controller
    synthesis tool for MDPs with multiple mean-payoff objectives. 9035, 181–187.'
  mla: 'Brázdil, Tomáš, et al. <i>Multigain: A Controller Synthesis Tool for MDPs
    with Multiple Mean-Payoff Objectives</i>. Vol. 9035, Springer, 2015, pp. 181–87,
    doi:<a href="https://doi.org/10.1007/978-3-662-46681-0_12">10.1007/978-3-662-46681-0_12</a>.'
  short: T. Brázdil, K. Chatterjee, V. Forejt, A. Kučera, 9035 (2015) 181–187.
conference:
  end_date: 2015-04-18
  location: London, United Kingdom
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2015-04-11
date_created: 2018-12-11T11:54:18Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-06-11T07:09:21Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-46681-0_12
ec_funded: 1
external_id:
  arxiv:
  - '1501.03093'
fulldoi: https://doi.org/10.1007/978-3-662-46681-0_12
intvolume: '      9035'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1501.03093
month: '01'
oa: 1
oa_version: Preprint
page: 181 - 187
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_status: published
publisher: Springer
publist_id: '5263'
quality_controlled: '1'
scopus_import: '1'
series_title: Lecture Notes in Computer Science
status: public
title: 'Multigain: A controller synthesis tool for MDPs with multiple mean-payoff
  objectives'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9035
year: '2015'
...
---
_id: '1840'
abstract:
- lang: eng
  text: In this paper, we present a method for reducing a regular, discrete-time Markov
    chain (DTMC) to another DTMC with a given, typically much smaller number of states.
    The cost of reduction is defined as the Kullback-Leibler divergence rate between
    a projection of the original process through a partition function and a DTMC on
    the correspondingly partitioned state space. Finding the reduced model with minimal
    cost is computationally expensive, as it requires an exhaustive search among all
    state space partitions, and an exact evaluation of the reduction cost for each
    candidate partition. Our approach deals with the latter problem by minimizing
    an upper bound on the reduction cost instead of minimizing the exact cost. The
    proposed upper bound is easy to compute and it is tight if the original chain
    is lumpable with respect to the partition. Then, we express the problem in the
    form of information bottleneck optimization, and propose using the agglomerative
    information bottleneck algorithm for searching a suboptimal partition greedily,
    rather than exhaustively. The theory is illustrated with examples and one application
    scenario in the context of modeling bio-molecular interactions.
acknowledgement: "This work was supported by the Austrian Research Association under
  Project 06/12684, by the Swiss National Science Foundation (SNSF) under Grant PP00P2
  128503/1, by the SystemsX.ch (the Swiss Inititative for Systems Biology), and by
  a SNSF Early Postdoc.Mobility Fellowship grant P2EZP2_148797.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Bernhard
  full_name: Geiger, Bernhard
  last_name: Geiger
- first_name: Tatjana
  full_name: Petrov, Tatjana
  id: 3D5811FC-F248-11E8-B48F-1D18A9856A87
  last_name: Petrov
  orcid: 0000-0002-9041-0905
- first_name: Gernot
  full_name: Kubin, Gernot
  last_name: Kubin
- first_name: Heinz
  full_name: Koeppl, Heinz
  last_name: Koeppl
citation:
  ama: Geiger B, Petrov T, Kubin G, Koeppl H. Optimal Kullback-Leibler aggregation
    via information bottleneck. <i>IEEE Transactions on Automatic Control</i>. 2015;60(4):1010-1022.
    doi:<a href="https://doi.org/10.1109/TAC.2014.2364971">10.1109/TAC.2014.2364971</a>
  apa: Geiger, B., Petrov, T., Kubin, G., &#38; Koeppl, H. (2015). Optimal Kullback-Leibler
    aggregation via information bottleneck. <i>IEEE Transactions on Automatic Control</i>.
    IEEE. <a href="https://doi.org/10.1109/TAC.2014.2364971">https://doi.org/10.1109/TAC.2014.2364971</a>
  chicago: Geiger, Bernhard, Tatjana Petrov, Gernot Kubin, and Heinz Koeppl. “Optimal
    Kullback-Leibler Aggregation via Information Bottleneck.” <i>IEEE Transactions
    on Automatic Control</i>. IEEE, 2015. <a href="https://doi.org/10.1109/TAC.2014.2364971">https://doi.org/10.1109/TAC.2014.2364971</a>.
  ieee: B. Geiger, T. Petrov, G. Kubin, and H. Koeppl, “Optimal Kullback-Leibler aggregation
    via information bottleneck,” <i>IEEE Transactions on Automatic Control</i>, vol.
    60, no. 4. IEEE, pp. 1010–1022, 2015.
  ista: Geiger B, Petrov T, Kubin G, Koeppl H. 2015. Optimal Kullback-Leibler aggregation
    via information bottleneck. IEEE Transactions on Automatic Control. 60(4), 1010–1022.
  mla: Geiger, Bernhard, et al. “Optimal Kullback-Leibler Aggregation via Information
    Bottleneck.” <i>IEEE Transactions on Automatic Control</i>, vol. 60, no. 4, IEEE,
    2015, pp. 1010–22, doi:<a href="https://doi.org/10.1109/TAC.2014.2364971">10.1109/TAC.2014.2364971</a>.
  short: B. Geiger, T. Petrov, G. Kubin, H. Koeppl, IEEE Transactions on Automatic
    Control 60 (2015) 1010–1022.
date_created: 2018-12-11T11:54:18Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T09:45:33Z
day: '01'
department:
- _id: CaGu
- _id: ToHe
doi: 10.1109/TAC.2014.2364971
external_id:
  arxiv:
  - '1304.6603'
  isi:
  - '000351731600009'
fulldoi: https://doi.org/10.1109/TAC.2014.2364971
intvolume: '        60'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1304.6603
month: '04'
oa: 1
oa_version: Preprint
page: 1010 - 1022
publication: IEEE Transactions on Automatic Control
publication_identifier:
  issn:
  - 0018-9286
publication_status: published
publisher: IEEE
publist_id: '5262'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal Kullback-Leibler aggregation via information bottleneck
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 60
year: '2015'
...
---
_id: '18400'
abstract:
- lang: eng
  text: We propose a method and a prototype imaging system for real-time reconstruction
    of volumetric piecewise-smooth scattering media. The volume is illuminated by
    a sequence of structured binary patterns emitted from a fan beam projector, and
    the scattered light is collected by a two-dimensional sensor, thus creating an
    under-complete set of compressed measurements. We show a fixed-complexity and
    latency reconstruction algorithm capable of estimating the scattering coefficients
    in real-time. We also show a simple greedy algorithm for learning the optimal
    illumination patterns. Our results demonstrate faithful reconstruction from highly
    compressed measurements. Furthermore, a method for compressed registration of
    the measured volume to a known template is presented, showing excellent alignment
    with just a single projection. Though our prototype system operates in visible
    light, the presented methodology is suitable for fast x-ray scattering imaging,
    in particular in real-time vascular medical imaging.
article_number: '7025264'
article_processing_charge: No
author:
- first_name: Ohad
  full_name: Menashe, Ohad
  last_name: Menashe
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Menashe O, Bronstein AM. Real-time compressed imaging of scattering volumes.
    In: <i>2014 IEEE International Conference on Image Processing (ICIP)</i>. IEEE;
    2015. doi:<a href="https://doi.org/10.1109/icip.2014.7025264">10.1109/icip.2014.7025264</a>'
  apa: 'Menashe, O., &#38; Bronstein, A. M. (2015). Real-time compressed imaging of
    scattering volumes. In <i>2014 IEEE International Conference on Image Processing
    (ICIP)</i>. Paris, France: IEEE. <a href="https://doi.org/10.1109/icip.2014.7025264">https://doi.org/10.1109/icip.2014.7025264</a>'
  chicago: Menashe, Ohad, and Alex M. Bronstein. “Real-Time Compressed Imaging of
    Scattering Volumes.” In <i>2014 IEEE International Conference on Image Processing
    (ICIP)</i>. IEEE, 2015. <a href="https://doi.org/10.1109/icip.2014.7025264">https://doi.org/10.1109/icip.2014.7025264</a>.
  ieee: O. Menashe and A. M. Bronstein, “Real-time compressed imaging of scattering
    volumes,” in <i>2014 IEEE International Conference on Image Processing (ICIP)</i>,
    Paris, France, 2015.
  ista: Menashe O, Bronstein AM. 2015. Real-time compressed imaging of scattering
    volumes. 2014 IEEE International Conference on Image Processing (ICIP). IEEE International
    Conference on Image Processing, 7025264.
  mla: Menashe, Ohad, and Alex M. Bronstein. “Real-Time Compressed Imaging of Scattering
    Volumes.” <i>2014 IEEE International Conference on Image Processing (ICIP)</i>,
    7025264, IEEE, 2015, doi:<a href="https://doi.org/10.1109/icip.2014.7025264">10.1109/icip.2014.7025264</a>.
  short: O. Menashe, A.M. Bronstein, in:, 2014 IEEE International Conference on Image
    Processing (ICIP), IEEE, 2015.
conference:
  end_date: 2014-10-30
  location: Paris, France
  name: IEEE International Conference on Image Processing
  start_date: 2014-10-27
date_created: 2024-10-15T11:20:54Z
date_published: 2015-01-29T00:00:00Z
date_updated: 2024-12-04T13:56:28Z
day: '29'
doi: 10.1109/icip.2014.7025264
extern: '1'
fulldoi: https://doi.org/10.1109/icip.2014.7025264
language:
- iso: eng
month: '01'
oa_version: None
publication: 2014 IEEE International Conference on Image Processing (ICIP)
publication_identifier:
  eisbn:
  - '9781479957514'
  eissn:
  - 2381-8549
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Real-time compressed imaging of scattering volumes
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '18401'
abstract:
- lang: eng
  text: Intel's newly-announced low-cost RealSense 3D camera claims significantly
    better precision than other currently available low-cost platforms and is expected
    to become ubiquitous in laptops and mobile devices starting this year. In this
    paper, we demonstrate for the first time that the RealSense camera can be easily
    converted into a real low-cost gaze tracker. Gaze has become increasingly relevant
    as an input for human-computer interaction due to its association with attention.
    It is also critical in clinical mental health diagnosis. We present a novel 3D
    gaze and fixation tracker based on the eye surface geometry captured with the
    RealSense 3D camera. First, eye surface 3D point clouds are segmented to extract
    the pupil center and iris using registered infrared images. With non-ellipsoid
    eye surface and single fixation point assumptions, pupil centers and iris normal
    vectors are used to first estimate gaze (for each eye), and then a single fixation
    point for both eyes simultaneously using a RANSAC-based approach. With a simple
    learned bias field correction model, the fixation tracker demonstrates mean error
    of approximately 1 cm at 20-30 cm, which is sufficiently adequate for gaze and
    fixation tracking in human-computer interaction and mental health diagnosis applications.
article_number: '7351256'
article_processing_charge: No
author:
- first_name: Mark
  full_name: Draelos, Mark
  last_name: Draelos
- first_name: Qiang
  full_name: Qiu, Qiang
  last_name: Qiu
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Guillermo
  full_name: Sapiro, Guillermo
  last_name: Sapiro
citation:
  ama: 'Draelos M, Qiu Q, Bronstein AM, Sapiro G. Intel realsense = Real low cost
    gaze. In: <i>2015 IEEE International Conference on Image Processing (ICIP)</i>.
    IEEE; 2015. doi:<a href="https://doi.org/10.1109/icip.2015.7351256">10.1109/icip.2015.7351256</a>'
  apa: 'Draelos, M., Qiu, Q., Bronstein, A. M., &#38; Sapiro, G. (2015). Intel realsense
    = Real low cost gaze. In <i>2015 IEEE International Conference on Image Processing
    (ICIP)</i>. Quebec City, QC, Canada: IEEE. <a href="https://doi.org/10.1109/icip.2015.7351256">https://doi.org/10.1109/icip.2015.7351256</a>'
  chicago: Draelos, Mark, Qiang Qiu, Alex M. Bronstein, and Guillermo Sapiro. “Intel
    Realsense = Real Low Cost Gaze.” In <i>2015 IEEE International Conference on Image
    Processing (ICIP)</i>. IEEE, 2015. <a href="https://doi.org/10.1109/icip.2015.7351256">https://doi.org/10.1109/icip.2015.7351256</a>.
  ieee: M. Draelos, Q. Qiu, A. M. Bronstein, and G. Sapiro, “Intel realsense = Real
    low cost gaze,” in <i>2015 IEEE International Conference on Image Processing (ICIP)</i>,
    Quebec City, QC, Canada, 2015.
  ista: Draelos M, Qiu Q, Bronstein AM, Sapiro G. 2015. Intel realsense = Real low
    cost gaze. 2015 IEEE International Conference on Image Processing (ICIP). IEEE
    International Conference on Image Processing, 7351256.
  mla: Draelos, Mark, et al. “Intel Realsense = Real Low Cost Gaze.” <i>2015 IEEE
    International Conference on Image Processing (ICIP)</i>, 7351256, IEEE, 2015,
    doi:<a href="https://doi.org/10.1109/icip.2015.7351256">10.1109/icip.2015.7351256</a>.
  short: M. Draelos, Q. Qiu, A.M. Bronstein, G. Sapiro, in:, 2015 IEEE International
    Conference on Image Processing (ICIP), IEEE, 2015.
conference:
  end_date: 2015-09-30
  location: Quebec City, QC, Canada
  name: IEEE International Conference on Image Processing
  start_date: 2015-09-27
date_created: 2024-10-15T11:20:54Z
date_published: 2015-12-10T00:00:00Z
date_updated: 2024-12-05T08:13:05Z
day: '10'
doi: 10.1109/icip.2015.7351256
extern: '1'
fulldoi: https://doi.org/10.1109/icip.2015.7351256
language:
- iso: eng
month: '12'
oa_version: None
publication: 2015 IEEE International Conference on Image Processing (ICIP)
publication_identifier:
  eisbn:
  - '9781479983391'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Intel realsense = Real low cost gaze
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
OA_place: repository
OA_type: green
_id: '1841'
abstract:
- lang: eng
  text: We propose a new family of message passing techniques for MAP estimation in
    graphical models which we call Sequential Reweighted Message Passing (SRMP). Special
    cases include well-known techniques such as Min-Sum Diffusion (MSD) and a faster
    Sequential Tree-Reweighted Message Passing (TRW-S). Importantly, our derivation
    is simpler than the original derivation of TRW-S, and does not involve a decomposition
    into trees. This allows easy generalizations. The new family of algorithms can
    be viewed as a generalization of TRW-S from pairwise to higher-order graphical
    models. We test SRMP on several real-world problems with promising results.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: Kolmogorov V. A new look at reweighted message passing. <i>IEEE Transactions
    on Pattern Analysis and Machine Intelligence</i>. 2015;37(5):919-930. doi:<a href="https://doi.org/10.1109/TPAMI.2014.2363465">10.1109/TPAMI.2014.2363465</a>
  apa: Kolmogorov, V. (2015). A new look at reweighted message passing. <i>IEEE Transactions
    on Pattern Analysis and Machine Intelligence</i>. IEEE. <a href="https://doi.org/10.1109/TPAMI.2014.2363465">https://doi.org/10.1109/TPAMI.2014.2363465</a>
  chicago: Kolmogorov, Vladimir. “A New Look at Reweighted Message Passing.” <i>IEEE
    Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE, 2015. <a
    href="https://doi.org/10.1109/TPAMI.2014.2363465">https://doi.org/10.1109/TPAMI.2014.2363465</a>.
  ieee: V. Kolmogorov, “A new look at reweighted message passing,” <i>IEEE Transactions
    on Pattern Analysis and Machine Intelligence</i>, vol. 37, no. 5. IEEE, pp. 919–930,
    2015.
  ista: Kolmogorov V. 2015. A new look at reweighted message passing. IEEE Transactions
    on Pattern Analysis and Machine Intelligence. 37(5), 919–930.
  mla: Kolmogorov, Vladimir. “A New Look at Reweighted Message Passing.” <i>IEEE Transactions
    on Pattern Analysis and Machine Intelligence</i>, vol. 37, no. 5, IEEE, 2015,
    pp. 919–30, doi:<a href="https://doi.org/10.1109/TPAMI.2014.2363465">10.1109/TPAMI.2014.2363465</a>.
  short: V. Kolmogorov, IEEE Transactions on Pattern Analysis and Machine Intelligence
    37 (2015) 919–930.
corr_author: '1'
date_created: 2018-12-11T11:54:18Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2025-09-22T14:33:14Z
day: '01'
department:
- _id: VlKo
doi: 10.1109/TPAMI.2014.2363465
ec_funded: 1
external_id:
  arxiv:
  - '1309.5655'
  isi:
  - '000352533000002'
fulldoi: https://doi.org/10.1109/TPAMI.2014.2363465
intvolume: '        37'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1309.5655
month: '05'
oa: 1
oa_version: Preprint
page: 919 - 930
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_status: published
publisher: IEEE
publist_id: '5261'
quality_controlled: '1'
related_material:
  record:
  - id: '2273'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: A new look at reweighted message passing
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 37
year: '2015'
...
---
_id: '18415'
abstract:
- lang: eng
  text: Parsimony, including sparsity and low rank, has been shown to successfully
    model data in numerous machine learning and signal processing tasks. Traditionally,
    such modeling approaches rely on an iterative algorithm that minimizes an objective
    function with parsimony-promoting terms. The inherently sequential structure and
    data-dependent complexity and latency of iterative optimization constitute a major
    limitation in many applications requiring real-time performance or involving large-scale
    data. Another limitation encountered by these modeling techniques is the difficulty
    of their inclusion in discriminative learning scenarios. In this work, we propose
    to move the emphasis from the model to the pursuit algorithm, and develop a process-centric
    view of parsimonious modeling, in which a learned deterministic fixed-complexity
    pursuit process is used in lieu of iterative optimization. We show a principled
    way to construct learnable pursuit process architectures for structured sparse
    and robust low rank models, derived from the iteration of proximal descent algorithms.
    These architectures learn to approximate the exact parsimonious representation
    at a fraction of the complexity of the standard optimization methods. We also
    show that appropriate training regimes allow to naturally extend parsimonious
    models to discriminative settings. State-of-the-art results are demonstrated on
    several challenging problems in image and audio processing with several orders
    of magnitude speed-up compared to the exact optimization algorithms.
article_processing_charge: No
arxiv: 1
author:
- first_name: P.
  full_name: Sprechmann, P.
  last_name: Sprechmann
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: G.
  full_name: Sapiro, G.
  last_name: Sapiro
citation:
  ama: Sprechmann P, Bronstein AM, Sapiro G. Learning efficient sparse and low rank
    models. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    2015;37(9):1821-1833. doi:<a href="https://doi.org/10.1109/tpami.2015.2392779">10.1109/tpami.2015.2392779</a>
  apa: Sprechmann, P., Bronstein, A. M., &#38; Sapiro, G. (2015). Learning efficient
    sparse and low rank models. <i>IEEE Transactions on Pattern Analysis and Machine
    Intelligence</i>. IEEE. <a href="https://doi.org/10.1109/tpami.2015.2392779">https://doi.org/10.1109/tpami.2015.2392779</a>
  chicago: Sprechmann, P., Alex M. Bronstein, and G. Sapiro. “Learning Efficient Sparse
    and Low Rank Models.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    IEEE, 2015. <a href="https://doi.org/10.1109/tpami.2015.2392779">https://doi.org/10.1109/tpami.2015.2392779</a>.
  ieee: P. Sprechmann, A. M. Bronstein, and G. Sapiro, “Learning efficient sparse
    and low rank models,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>,
    vol. 37, no. 9. IEEE, pp. 1821–1833, 2015.
  ista: Sprechmann P, Bronstein AM, Sapiro G. 2015. Learning efficient sparse and
    low rank models. IEEE Transactions on Pattern Analysis and Machine Intelligence.
    37(9), 1821–1833.
  mla: Sprechmann, P., et al. “Learning Efficient Sparse and Low Rank Models.” <i>IEEE
    Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 37, no. 9,
    IEEE, 2015, pp. 1821–33, doi:<a href="https://doi.org/10.1109/tpami.2015.2392779">10.1109/tpami.2015.2392779</a>.
  short: P. Sprechmann, A.M. Bronstein, G. Sapiro, IEEE Transactions on Pattern Analysis
    and Machine Intelligence 37 (2015) 1821–1833.
date_created: 2024-10-15T11:20:55Z
date_published: 2015-09-01T00:00:00Z
date_updated: 2024-12-18T11:40:35Z
day: '01'
doi: 10.1109/tpami.2015.2392779
extern: '1'
external_id:
  arxiv:
  - '1212.3631'
  pmid:
  - '26353129'
fulldoi: https://doi.org/10.1109/tpami.2015.2392779
intvolume: '        37'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1212.3631
month: '09'
oa: 1
oa_version: Preprint
page: 1821-1833
pmid: 1
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_identifier:
  eissn:
  - 1939-3539
  issn:
  - 0162-8828
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Learning efficient sparse and low rank models
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2015'
...
---
_id: '18416'
abstract:
- lang: eng
  text: We construct an extension of spectral and diffusion geometry to multiple modalities
    through simultaneous diagonalization of Laplacian matrices. This naturally extends
    classical data analysis tools based on spectral geometry, such as diffusion maps
    and spectral clustering. We provide several synthetic and real examples of manifold
    learning, object classification, and clustering, showing that the joint spectral
    geometry better captures the inherent structure of multi-modal data. We also show
    the relation of many previous approaches for multimodal manifold analysis to our
    framework.
article_processing_charge: No
author:
- first_name: Davide
  full_name: Eynard, Davide
  last_name: Eynard
- first_name: Artiom
  full_name: Kovnatsky, Artiom
  last_name: Kovnatsky
- first_name: Michael M.
  full_name: Bronstein, Michael M.
  last_name: Bronstein
- first_name: Klaus
  full_name: Glashoff, Klaus
  last_name: Glashoff
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: Eynard D, Kovnatsky A, Bronstein MM, Glashoff K, Bronstein AM. Multimodal manifold
    snalysis by simultaneous diagonalization of Laplacians. <i>IEEE Transactions on
    Pattern Analysis and Machine Intelligence</i>. 2015;37(12):2505-2517. doi:<a href="https://doi.org/10.1109/tpami.2015.2408348">10.1109/tpami.2015.2408348</a>
  apa: Eynard, D., Kovnatsky, A., Bronstein, M. M., Glashoff, K., &#38; Bronstein,
    A. M. (2015). Multimodal manifold snalysis by simultaneous diagonalization of
    Laplacians. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    IEEE. <a href="https://doi.org/10.1109/tpami.2015.2408348">https://doi.org/10.1109/tpami.2015.2408348</a>
  chicago: Eynard, Davide, Artiom Kovnatsky, Michael M. Bronstein, Klaus Glashoff,
    and Alex M. Bronstein. “Multimodal Manifold Snalysis by Simultaneous Diagonalization
    of Laplacians.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>.
    IEEE, 2015. <a href="https://doi.org/10.1109/tpami.2015.2408348">https://doi.org/10.1109/tpami.2015.2408348</a>.
  ieee: D. Eynard, A. Kovnatsky, M. M. Bronstein, K. Glashoff, and A. M. Bronstein,
    “Multimodal manifold snalysis by simultaneous diagonalization of Laplacians,”
    <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 37,
    no. 12. IEEE, pp. 2505–2517, 2015.
  ista: Eynard D, Kovnatsky A, Bronstein MM, Glashoff K, Bronstein AM. 2015. Multimodal
    manifold snalysis by simultaneous diagonalization of Laplacians. IEEE Transactions
    on Pattern Analysis and Machine Intelligence. 37(12), 2505–2517.
  mla: Eynard, Davide, et al. “Multimodal Manifold Snalysis by Simultaneous Diagonalization
    of Laplacians.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>,
    vol. 37, no. 12, IEEE, 2015, pp. 2505–17, doi:<a href="https://doi.org/10.1109/tpami.2015.2408348">10.1109/tpami.2015.2408348</a>.
  short: D. Eynard, A. Kovnatsky, M.M. Bronstein, K. Glashoff, A.M. Bronstein, IEEE
    Transactions on Pattern Analysis and Machine Intelligence 37 (2015) 2505–2517.
date_created: 2024-10-15T11:20:55Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2024-12-12T14:08:46Z
day: '01'
doi: 10.1109/tpami.2015.2408348
extern: '1'
external_id:
  pmid:
  - '26539854'
fulldoi: https://doi.org/10.1109/tpami.2015.2408348
intvolume: '        37'
issue: '12'
language:
- iso: eng
month: '12'
oa_version: None
page: 2505-2517
pmid: 1
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_identifier:
  eissn:
  - 1939-3539
  issn:
  - 0162-8828
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multimodal manifold snalysis by simultaneous diagonalization of Laplacians
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2015'
...
---
_id: '18424'
abstract:
- lang: eng
  text: We present a fast algorithm for global rigid symmetry detection with approximation
    guarantees. The algorithm is guaranteed to find the best approximate symmetry
    of a given shape, to within a user-specified threshold, with very high probability.
    Our method uses a carefully designed sampling of the transformation space, where
    each transformation is efficiently evaluated using a sublinear algorithm. We prove
    that the density of the sampling depends on the total variation of the shape,
    allowing us to derive formal bounds on the algorithm's complexity and approximation
    quality. We further investigate different volumetric shape representations (in
    the form of truncated distance transforms), and in such a way control the total
    variation of the shape and hence the sampling density and the runtime of the algorithm.
    A comprehensive set of experiments assesses the proposed method, including an
    evaluation on the eight categories of the COSEG data set. This is the first large-scale
    evaluation of any symmetry detection technique that we are aware of.
article_processing_charge: No
arxiv: 1
author:
- first_name: Simon
  full_name: Korman, Simon
  last_name: Korman
- first_name: Roee
  full_name: Litman, Roee
  last_name: Litman
- first_name: Shai
  full_name: Avidan, Shai
  last_name: Avidan
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Korman S, Litman R, Avidan S, Bronstein AM. Probably approximately symmetric:
    Fast rigid symmetry detection with global guarantees. <i>Computer Graphics Forum</i>.
    2015;34(1):2-13. doi:<a href="https://doi.org/10.1111/cgf.12454">10.1111/cgf.12454</a>'
  apa: 'Korman, S., Litman, R., Avidan, S., &#38; Bronstein, A. M. (2015). Probably
    approximately symmetric: Fast rigid symmetry detection with global guarantees.
    <i>Computer Graphics Forum</i>. Wiley. <a href="https://doi.org/10.1111/cgf.12454">https://doi.org/10.1111/cgf.12454</a>'
  chicago: 'Korman, Simon, Roee Litman, Shai Avidan, and Alex M. Bronstein. “Probably
    Approximately Symmetric: Fast Rigid Symmetry Detection with Global Guarantees.”
    <i>Computer Graphics Forum</i>. Wiley, 2015. <a href="https://doi.org/10.1111/cgf.12454">https://doi.org/10.1111/cgf.12454</a>.'
  ieee: 'S. Korman, R. Litman, S. Avidan, and A. M. Bronstein, “Probably approximately
    symmetric: Fast rigid symmetry detection with global guarantees,” <i>Computer
    Graphics Forum</i>, vol. 34, no. 1. Wiley, pp. 2–13, 2015.'
  ista: 'Korman S, Litman R, Avidan S, Bronstein AM. 2015. Probably approximately
    symmetric: Fast rigid symmetry detection with global guarantees. Computer Graphics
    Forum. 34(1), 2–13.'
  mla: 'Korman, Simon, et al. “Probably Approximately Symmetric: Fast Rigid Symmetry
    Detection with Global Guarantees.” <i>Computer Graphics Forum</i>, vol. 34, no.
    1, Wiley, 2015, pp. 2–13, doi:<a href="https://doi.org/10.1111/cgf.12454">10.1111/cgf.12454</a>.'
  short: S. Korman, R. Litman, S. Avidan, A.M. Bronstein, Computer Graphics Forum
    34 (2015) 2–13.
date_created: 2024-10-15T11:20:55Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2024-12-19T10:12:48Z
day: '01'
doi: 10.1111/cgf.12454
extern: '1'
external_id:
  arxiv:
  - '1403.6637'
fulldoi: https://doi.org/10.1111/cgf.12454
intvolume: '        34'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1403.6637
month: '02'
oa: 1
oa_version: Preprint
page: 2-13
publication: Computer Graphics Forum
publication_identifier:
  eissn:
  - 1467-8659
  issn:
  - 0167-7055
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Probably approximately symmetric: Fast rigid symmetry detection with global
  guarantees'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2015'
...
---
_id: '18425'
abstract:
- lang: eng
  text: The recent introduction of 3D shape analysis frameworks able to quantify the
    deformation of a shape into another in terms of the variation of real functions
    yields a new interpretation of the 3D shape similarity assessment and opens new
    perspectives. Indeed, while the classical approaches to similarity mainly quantify
    it as a numerical score, map-based methods also define (dense) shape correspondences.
    After presenting in detail the theoretical foundations underlying these approaches,
    we classify them by looking at their most salient features, including the kind
    of structure and invariance properties they capture, as well as the distances
    and the output modalities according to which the similarity between shapes is
    assessed and returned. We also review the usage of these methods in a number of
    3D shape application domains, ranging from matching and retrieval to annotation
    and segmentation. Finally, the most promising directions for future research developments
    are discussed.
article_processing_charge: No
author:
- first_name: S.
  full_name: Biasotti, S.
  last_name: Biasotti
- first_name: A.
  full_name: Cerri, A.
  last_name: Cerri
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M.
  full_name: Bronstein, M.
  last_name: Bronstein
citation:
  ama: Biasotti S, Cerri A, Bronstein AM, Bronstein M. Recent trends, applications,
    and perspectives in 3D shape similarity assessment. <i>Computer Graphics Forum</i>.
    2015;35(6):87-119. doi:<a href="https://doi.org/10.1111/cgf.12734">10.1111/cgf.12734</a>
  apa: Biasotti, S., Cerri, A., Bronstein, A. M., &#38; Bronstein, M. (2015). Recent
    trends, applications, and perspectives in 3D shape similarity assessment. <i>Computer
    Graphics Forum</i>. Wiley. <a href="https://doi.org/10.1111/cgf.12734">https://doi.org/10.1111/cgf.12734</a>
  chicago: Biasotti, S., A. Cerri, Alex M. Bronstein, and M. Bronstein. “Recent Trends,
    Applications, and Perspectives in 3D Shape Similarity Assessment.” <i>Computer
    Graphics Forum</i>. Wiley, 2015. <a href="https://doi.org/10.1111/cgf.12734">https://doi.org/10.1111/cgf.12734</a>.
  ieee: S. Biasotti, A. Cerri, A. M. Bronstein, and M. Bronstein, “Recent trends,
    applications, and perspectives in 3D shape similarity assessment,” <i>Computer
    Graphics Forum</i>, vol. 35, no. 6. Wiley, pp. 87–119, 2015.
  ista: Biasotti S, Cerri A, Bronstein AM, Bronstein M. 2015. Recent trends, applications,
    and perspectives in 3D shape similarity assessment. Computer Graphics Forum. 35(6),
    87–119.
  mla: Biasotti, S., et al. “Recent Trends, Applications, and Perspectives in 3D Shape
    Similarity Assessment.” <i>Computer Graphics Forum</i>, vol. 35, no. 6, Wiley,
    2015, pp. 87–119, doi:<a href="https://doi.org/10.1111/cgf.12734">10.1111/cgf.12734</a>.
  short: S. Biasotti, A. Cerri, A.M. Bronstein, M. Bronstein, Computer Graphics Forum
    35 (2015) 87–119.
date_created: 2024-10-15T11:20:55Z
date_published: 2015-09-01T00:00:00Z
date_updated: 2024-12-19T13:44:16Z
day: '01'
doi: 10.1111/cgf.12734
extern: '1'
fulldoi: https://doi.org/10.1111/cgf.12734
intvolume: '        35'
issue: '6'
language:
- iso: eng
month: '09'
oa_version: None
page: 87-119
publication: Computer Graphics Forum
publication_identifier:
  eissn:
  - 1467-8659
  issn:
  - 0167-7055
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Recent trends, applications, and perspectives in 3D shape similarity assessment
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2015'
...
---
_id: '18436'
article_processing_charge: No
author:
- first_name: Harel
  full_name: Haim, Harel
  last_name: Haim
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Emanuel
  full_name: Marom, Emanuel
  last_name: Marom
citation:
  ama: Haim H, Bronstein AM, Marom E. Computational multi-focus imaging combining
    sparse model with color dependent phase mask. <i>Optics Express</i>. 2015;23(19):24547-24556.
    doi:<a href="https://doi.org/10.1364/oe.23.024547">10.1364/oe.23.024547</a>
  apa: Haim, H., Bronstein, A. M., &#38; Marom, E. (2015). Computational multi-focus
    imaging combining sparse model with color dependent phase mask. <i>Optics Express</i>.
    Optica Publishing Group. <a href="https://doi.org/10.1364/oe.23.024547">https://doi.org/10.1364/oe.23.024547</a>
  chicago: Haim, Harel, Alex M. Bronstein, and Emanuel Marom. “Computational Multi-Focus
    Imaging Combining Sparse Model with Color Dependent Phase Mask.” <i>Optics Express</i>.
    Optica Publishing Group, 2015. <a href="https://doi.org/10.1364/oe.23.024547">https://doi.org/10.1364/oe.23.024547</a>.
  ieee: H. Haim, A. M. Bronstein, and E. Marom, “Computational multi-focus imaging
    combining sparse model with color dependent phase mask,” <i>Optics Express</i>,
    vol. 23, no. 19. Optica Publishing Group, pp. 24547–24556, 2015.
  ista: Haim H, Bronstein AM, Marom E. 2015. Computational multi-focus imaging combining
    sparse model with color dependent phase mask. Optics Express. 23(19), 24547–24556.
  mla: Haim, Harel, et al. “Computational Multi-Focus Imaging Combining Sparse Model
    with Color Dependent Phase Mask.” <i>Optics Express</i>, vol. 23, no. 19, Optica
    Publishing Group, 2015, pp. 24547–56, doi:<a href="https://doi.org/10.1364/oe.23.024547">10.1364/oe.23.024547</a>.
  short: H. Haim, A.M. Bronstein, E. Marom, Optics Express 23 (2015) 24547–24556.
date_created: 2024-10-15T11:20:55Z
date_published: 2015-09-10T00:00:00Z
date_updated: 2024-12-19T10:48:50Z
day: '10'
doi: 10.1364/oe.23.024547
extern: '1'
fulldoi: https://doi.org/10.1364/oe.23.024547
intvolume: '        23'
issue: '19'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1364/OE.23.024547
month: '09'
oa: 1
oa_version: Published Version
page: 24547 - 24556
publication: Optics Express
publication_identifier:
  eissn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computational multi-focus imaging combining sparse model with color dependent
  phase mask
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2015'
...
---
_id: '18439'
abstract:
- lang: eng
  text: Intel’s newly-announced low-cost and high precision RealSense 3D (RGBD) camera
    is becoming ubiquitous in laptops and mobile devices starting this year, opening
    the door for new applications in the mobile health arena. In this paper, we demonstrate
    how the Intel RealSense 3D camera can be used for low-cost gaze tracking and passive
    pulse rate estimation. We develop a novel 3D gaze and ﬁxation tracker based on
    the eye surface geometry as well as an illumination invariant pulse rate estimation
    method using near-infrared images captured with RealSense. We achieve a mean error
    of 1cm at 20 − 30cm for the gaze tracker and 2.26bpm (beats per minute) for pulse
    estimation, which is adequate in many medical applications, demonstrating the
    great potential of novel consumer-grade RGBD technology in mobile health.
article_processing_charge: No
author:
- first_name: Qiang
  full_name: Qiu, Qiang
  last_name: Qiu
- first_name: Zhuoqing
  full_name: Chang, Zhuoqing
  last_name: Chang
- first_name: Mark
  full_name: Draelos, Mark
  last_name: Draelos
- first_name: Jie
  full_name: Chen, Jie
  last_name: Chen
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Guillermo
  full_name: Sapiro, Guillermo
  last_name: Sapiro
citation:
  ama: 'Qiu Q, Chang Z, Draelos M, Chen J, Bronstein AM, Sapiro G. Low-cost gaze and
    pulse analysis using realsense. In: <i>Proceedings of the 5th EAI International
    Conference on Wireless Mobile Communication and Healthcare</i>. ICST; 2015. doi:<a
    href="https://doi.org/10.4108/eai.14-10-2015.2261657">10.4108/eai.14-10-2015.2261657</a>'
  apa: 'Qiu, Q., Chang, Z., Draelos, M., Chen, J., Bronstein, A. M., &#38; Sapiro,
    G. (2015). Low-cost gaze and pulse analysis using realsense. In <i>Proceedings
    of the 5th EAI International Conference on Wireless Mobile Communication and Healthcare</i>.
    London, United Kingdom: ICST. <a href="https://doi.org/10.4108/eai.14-10-2015.2261657">https://doi.org/10.4108/eai.14-10-2015.2261657</a>'
  chicago: Qiu, Qiang, Zhuoqing Chang, Mark Draelos, Jie Chen, Alex M. Bronstein,
    and Guillermo Sapiro. “Low-Cost Gaze and Pulse Analysis Using Realsense.” In <i>Proceedings
    of the 5th EAI International Conference on Wireless Mobile Communication and Healthcare</i>.
    ICST, 2015. <a href="https://doi.org/10.4108/eai.14-10-2015.2261657">https://doi.org/10.4108/eai.14-10-2015.2261657</a>.
  ieee: Q. Qiu, Z. Chang, M. Draelos, J. Chen, A. M. Bronstein, and G. Sapiro, “Low-cost
    gaze and pulse analysis using realsense,” in <i>Proceedings of the 5th EAI International
    Conference on Wireless Mobile Communication and Healthcare</i>, London, United
    Kingdom, 2015.
  ista: Qiu Q, Chang Z, Draelos M, Chen J, Bronstein AM, Sapiro G. 2015. Low-cost
    gaze and pulse analysis using realsense. Proceedings of the 5th EAI International
    Conference on Wireless Mobile Communication and Healthcare. 5th EAI International
    Conference on Wireless Mobile Communication and Healthcare - Transforming Healthcare
    through Innovations in Mobile and Wireless Technologies.
  mla: Qiu, Qiang, et al. “Low-Cost Gaze and Pulse Analysis Using Realsense.” <i>Proceedings
    of the 5th EAI International Conference on Wireless Mobile Communication and Healthcare</i>,
    ICST, 2015, doi:<a href="https://doi.org/10.4108/eai.14-10-2015.2261657">10.4108/eai.14-10-2015.2261657</a>.
  short: Q. Qiu, Z. Chang, M. Draelos, J. Chen, A.M. Bronstein, G. Sapiro, in:, Proceedings
    of the 5th EAI International Conference on Wireless Mobile Communication and Healthcare,
    ICST, 2015.
conference:
  end_date: 2015-10-16
  location: London, United Kingdom
  name: 5th EAI International Conference on Wireless Mobile Communication and Healthcare
    - Transforming Healthcare through Innovations in Mobile and Wireless Technologies
  start_date: 2015-10-14
date_created: 2024-10-15T11:20:55Z
date_published: 2015-12-22T00:00:00Z
date_updated: 2024-12-19T13:36:57Z
day: '22'
doi: 10.4108/eai.14-10-2015.2261657
extern: '1'
fulldoi: https://doi.org/10.4108/eai.14-10-2015.2261657
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4108/eai.14-10-2015.2261657
month: '12'
oa: 1
oa_version: Published Version
publication: Proceedings of the 5th EAI International Conference on Wireless Mobile
  Communication and Healthcare
publication_identifier:
  isbn:
  - '9781631900884'
publication_status: published
publisher: ICST
quality_controlled: '1'
scopus_import: '1'
status: public
title: Low-cost gaze and pulse analysis using realsense
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1508'
abstract:
- lang: eng
  text: We consider generalized Wigner ensembles and general β-ensembles with analytic
    potentials for any β ≥ 1. The recent universality results in particular assert
    that the local averages of consecutive eigenvalue gaps in the bulk of the spectrum
    are universal in the sense that they coincide with those of the corresponding
    Gaussian β-ensembles. In this article, we show that local averaging is not necessary
    for this result, i.e. we prove that the single gap distributions in the bulk are
    universal. In fact, with an additional step, our result can be extended to any
    C4(ℝ) potential.
article_processing_charge: No
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Horng
  full_name: Yau, Horng
  last_name: Yau
citation:
  ama: Erdös L, Yau H. Gap universality of generalized Wigner and β ensembles. <i>Journal
    of the European Mathematical Society</i>. 2015;17(8):1927-2036. doi:<a href="https://doi.org/10.4171/JEMS/548">10.4171/JEMS/548</a>
  apa: Erdös, L., &#38; Yau, H. (2015). Gap universality of generalized Wigner and
    β ensembles. <i>Journal of the European Mathematical Society</i>. EMS Press. <a
    href="https://doi.org/10.4171/JEMS/548">https://doi.org/10.4171/JEMS/548</a>
  chicago: Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and
    β Ensembles.” <i>Journal of the European Mathematical Society</i>. EMS Press,
    2015. <a href="https://doi.org/10.4171/JEMS/548">https://doi.org/10.4171/JEMS/548</a>.
  ieee: L. Erdös and H. Yau, “Gap universality of generalized Wigner and β ensembles,”
    <i>Journal of the European Mathematical Society</i>, vol. 17, no. 8. EMS Press,
    pp. 1927–2036, 2015.
  ista: Erdös L, Yau H. 2015. Gap universality of generalized Wigner and β ensembles.
    Journal of the European Mathematical Society. 17(8), 1927–2036.
  mla: Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and β
    Ensembles.” <i>Journal of the European Mathematical Society</i>, vol. 17, no.
    8, EMS Press, 2015, pp. 1927–2036, doi:<a href="https://doi.org/10.4171/JEMS/548">10.4171/JEMS/548</a>.
  short: L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015)
    1927–2036.
das_tickbox: '1'
date_created: 2018-12-11T11:52:26Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2026-07-06T11:55:30Z
day: '01'
department:
- _id: LaEr
doi: 10.4171/JEMS/548
external_id:
  arxiv:
  - '1211.3786'
  isi:
  - '000360822900003'
fulldoi: https://doi.org/10.4171/JEMS/548
intvolume: '        17'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1211.3786
month: '08'
oa: 1
oa_version: Preprint
page: 1927 - 2036
publication: Journal of the European Mathematical Society
publication_status: published
publisher: EMS Press
publist_id: '5669'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gap universality of generalized Wigner and β ensembles
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2015'
...
---
_id: '1832'
abstract:
- lang: eng
  text: 'Linearizability of concurrent data structures is usually proved by monolithic
    simulation arguments relying on the identification of the so-called linearization
    points. Regrettably, such proofs, whether manual or automatic, are often complicated
    and scale poorly to advanced non-blocking concurrency patterns, such as helping
    and optimistic updates. In response, we propose a more modular way of checking
    linearizability of concurrent queue algorithms that does not involve identifying
    linearization points. We reduce the task of proving linearizability with respect
    to the queue specification to establishing four basic properties, each of which
    can be proved independently by simpler arguments. As a demonstration of our approach,
    we verify the Herlihy and Wing queue, an algorithm that is challenging to verify
    by a simulation proof. '
article_number: '20'
article_processing_charge: No
article_type: original
author:
- first_name: Soham
  full_name: Chakraborty, Soham
  last_name: Chakraborty
- 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: Ali
  full_name: Sezgin, Ali
  last_name: Sezgin
- first_name: Viktor
  full_name: Vafeiadis, Viktor
  last_name: Vafeiadis
citation:
  ama: Chakraborty S, Henzinger TA, Sezgin A, Vafeiadis V. Aspect-oriented linearizability
    proofs. <i>Logical Methods in Computer Science</i>. 2015;11(1). doi:<a href="https://doi.org/10.2168/LMCS-11(1:20)2015">10.2168/LMCS-11(1:20)2015</a>
  apa: Chakraborty, S., Henzinger, T. A., Sezgin, A., &#38; Vafeiadis, V. (2015).
    Aspect-oriented linearizability proofs. <i>Logical Methods in Computer Science</i>.
    International Federation for Computational Logic. <a href="https://doi.org/10.2168/LMCS-11(1:20)2015">https://doi.org/10.2168/LMCS-11(1:20)2015</a>
  chicago: Chakraborty, Soham, Thomas A Henzinger, Ali Sezgin, and Viktor Vafeiadis.
    “Aspect-Oriented Linearizability Proofs.” <i>Logical Methods in Computer Science</i>.
    International Federation for Computational Logic, 2015. <a href="https://doi.org/10.2168/LMCS-11(1:20)2015">https://doi.org/10.2168/LMCS-11(1:20)2015</a>.
  ieee: S. Chakraborty, T. A. Henzinger, A. Sezgin, and V. Vafeiadis, “Aspect-oriented
    linearizability proofs,” <i>Logical Methods in Computer Science</i>, vol. 11,
    no. 1. International Federation for Computational Logic, 2015.
  ista: Chakraborty S, Henzinger TA, Sezgin A, Vafeiadis V. 2015. Aspect-oriented
    linearizability proofs. Logical Methods in Computer Science. 11(1), 20.
  mla: Chakraborty, Soham, et al. “Aspect-Oriented Linearizability Proofs.” <i>Logical
    Methods in Computer Science</i>, vol. 11, no. 1, 20, International Federation
    for Computational Logic, 2015, doi:<a href="https://doi.org/10.2168/LMCS-11(1:20)2015">10.2168/LMCS-11(1:20)2015</a>.
  short: S. Chakraborty, T.A. Henzinger, A. Sezgin, V. Vafeiadis, Logical Methods
    in Computer Science 11 (2015).
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T11:54:15Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2026-07-06T13:24:05Z
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doi: 10.2168/LMCS-11(1:20)2015
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publication: Logical Methods in Computer Science
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publisher: International Federation for Computational Logic
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status: public
title: Aspect-oriented linearizability proofs
tmp:
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  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
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year: '2015'
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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. The problem of computing edit
    distance to pushdown automata 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.
acknowledgement: "This research was funded in part by the European Research Council
  (ERC) under\r\ngrant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF)
  projects\r\nS11402-N23 (RiSE) and Z211-N23 (Wittgenstein Award), FWF Grant No P23499-\r\nN23,
  FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph\r\nGames), and
  MSR faculty fellows award."
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: 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. In: <i>42nd International Colloquium on Automata, Languages, and Programming</i>.
    Vol 9135. Springer Nature; 2015:121-133. doi:<a href="https://doi.org/10.1007/978-3-662-47666-6_10">10.1007/978-3-662-47666-6_10</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., &#38; Otop, J. (2015).
    Edit distance for pushdown automata. In <i>42nd International Colloquium on Automata,
    Languages, and Programming</i> (Vol. 9135, pp. 121–133). Kyoto, Japan: Springer
    Nature. <a href="https://doi.org/10.1007/978-3-662-47666-6_10">https://doi.org/10.1007/978-3-662-47666-6_10</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
    Otop. “Edit Distance for Pushdown Automata.” In <i>42nd International Colloquium
    on Automata, Languages, and Programming</i>, 9135:121–33. Springer Nature, 2015.
    <a href="https://doi.org/10.1007/978-3-662-47666-6_10">https://doi.org/10.1007/978-3-662-47666-6_10</a>.
  ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance
    for pushdown automata,” in <i>42nd International Colloquium on Automata, Languages,
    and Programming</i>, Kyoto, Japan, 2015, vol. 9135, no. Part II, pp. 121–133.
  ista: 'Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2015. Edit distance for
    pushdown automata. 42nd International Colloquium on Automata, Languages, and Programming.
    ICALP: Automata, Languages and Programming, LNCS, vol. 9135, 121–133.'
  mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” <i>42nd
    International Colloquium on Automata, Languages, and Programming</i>, vol. 9135,
    no. Part II, Springer Nature, 2015, pp. 121–33, doi:<a href="https://doi.org/10.1007/978-3-662-47666-6_10">10.1007/978-3-662-47666-6_10</a>.
  short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, in:, 42nd International
    Colloquium on Automata, Languages, and Programming, Springer Nature, 2015, pp.
    121–133.
conference:
  end_date: 2015-07-10
  location: Kyoto, Japan
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2015-07-06
date_created: 2018-12-11T11:53:01Z
date_published: 2015-07-01T00:00:00Z
date_updated: 2026-07-06T13:27:53Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-662-47666-6_10
ec_funded: 1
external_id:
  arxiv:
  - '1504.08259'
  isi:
  - '000364317900010'
fulldoi: https://doi.org/10.1007/978-3-662-47666-6_10
intvolume: '      9135'
isi: 1
issue: Part II
language:
- iso: eng
main_file_link:
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  url: https://arxiv.org/abs/1504.08259
month: '07'
oa: 1
oa_version: Preprint
page: 121 - 133
project:
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  name: Quantitative Reactive Modeling
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  name: Formal methods for the design and analysis of complex systems
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  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
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  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
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  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
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  name: Microsoft Research Faculty Fellowship
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  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: 42nd International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - 978-3-662-47665-9
publication_status: published
publisher: Springer Nature
publist_id: '5556'
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quality_controlled: '1'
related_material:
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scopus_import: '1'
status: public
title: Edit distance for pushdown automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9135
year: '2015'
...
---
OA_place: repository
OA_type: green
_id: '1657'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with multiple limit-average
    (or mean-payoff) objectives. There exist 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. We consider
    optimization with respect to both objectives at once, thus unifying the existing
    semantics. Precisely, the goal is to optimize the expectation while ensuring the
    satisfaction constraint. Our problem captures the notion of optimization with
    respect to strategies that are risk-averse (i.e., Ensure certain probabilistic
    guarantee). Our main results are as follows: First, we present algorithms for
    the decision problems, 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. Second, we present a complete characterization of the strategy
    complexity (in terms of memory bounds and randomization) required to solve our
    problem. '
acknowledgement: "A Technical Report of this paper is available at DOI: 10.15479/AT:IST-2015-318-v1-1\r\n"
alternative_title:
- LICS
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Zuzana
  full_name: Komárková, Zuzana
  last_name: Komárková
- 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, Komárková Z, Kretinsky J. Unifying two views on multiple mean-payoff
    objectives in Markov decision processes. 2015:244-256. doi:<a href="https://doi.org/10.1109/LICS.2015.32">10.1109/LICS.2015.32</a>
  apa: 'Chatterjee, K., Komárková, Z., &#38; Kretinsky, J. (2015). Unifying two views
    on multiple mean-payoff objectives in Markov decision processes. Presented at
    the LICS: Logic in Computer Science, Kyoto, Japan: IEEE. <a href="https://doi.org/10.1109/LICS.2015.32">https://doi.org/10.1109/LICS.2015.32</a>'
  chicago: Chatterjee, Krishnendu, Zuzana Komárková, and Jan Kretinsky. “Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.” LICS.
    IEEE, 2015. <a href="https://doi.org/10.1109/LICS.2015.32">https://doi.org/10.1109/LICS.2015.32</a>.
  ieee: K. Chatterjee, Z. Komárková, and J. Kretinsky, “Unifying two views on multiple
    mean-payoff objectives in Markov decision processes.” IEEE, pp. 244–256, 2015.
  ista: Chatterjee K, Komárková Z, Kretinsky J. 2015. Unifying two views on multiple
    mean-payoff objectives in Markov decision processes. , 244–256.
  mla: Chatterjee, Krishnendu, et al. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IEEE, 2015, pp. 244–56, doi:<a href="https://doi.org/10.1109/LICS.2015.32">10.1109/LICS.2015.32</a>.
  short: K. Chatterjee, Z. Komárková, J. Kretinsky, (2015) 244–256.
conference:
  end_date: 2015-07-10
  location: Kyoto, Japan
  name: 'LICS: Logic in Computer Science'
  start_date: 2015-07-06
date_created: 2018-12-11T11:53:18Z
date_published: 2015-07-01T00:00:00Z
date_updated: 2026-07-06T13:26:26Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1109/LICS.2015.32
ec_funded: 1
external_id:
  isi:
  - '000380427100024'
fulldoi: https://doi.org/10.1109/LICS.2015.32
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.15479/AT:IST-2015-318-v1-1
month: '07'
oa: 1
oa_version: Preprint
page: 244 - 256
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
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  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
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  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
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  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: IEEE
publist_id: '5493'
quality_controlled: '1'
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scopus_import: '1'
series_title: LICS
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2015'
...
---
_id: '5435'
abstract:
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  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. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">10.15479/AT:IST-2015-318-v2-1</a>
  apa: Chatterjee, K., Komarkova, Z., &#38; Kretinsky, J. (2015). <i>Unifying two
    views on multiple mean-payoff objectives in Markov decision processes</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">https://doi.org/10.15479/AT:IST-2015-318-v2-1</a>
  chicago: Chatterjee, Krishnendu, Zuzana Komarkova, and Jan Kretinsky. <i>Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">https://doi.org/10.15479/AT:IST-2015-318-v2-1</a>.
  ieee: K. Chatterjee, Z. Komarkova, and J. Kretinsky, <i>Unifying two views on multiple
    mean-payoff objectives in Markov decision processes</i>. 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. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">10.15479/AT:IST-2015-318-v2-1</a>.
  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: 2026-07-06T13:26:26Z
day: '23'
ddc:
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department:
- _id: KrCh
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month: '02'
oa: 1
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publication_identifier:
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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'
...
