---
_id: '916'
abstract:
- lang: eng
text: We study the quadratic assignment problem, in computer vision also known as
graph matching. Two leading solvers for this problem optimize the Lagrange decomposition
duals with sub-gradient and dual ascent (also known as message passing) updates.
We explore this direction further and propose several additional Lagrangean relaxations
of the graph matching problem along with corresponding algorithms, which are all
based on a common dual ascent framework. Our extensive empirical evaluation gives
several theoretical insights and suggests a new state-of-the-art anytime solver
for the considered problem. Our improvement over state-of-the-art is particularly
visible on a new dataset with large-scale sparse problem instances containing
more than 500 graph nodes each.
article_processing_charge: No
author:
- first_name: Paul
full_name: Swoboda, Paul
id: 446560C6-F248-11E8-B48F-1D18A9856A87
last_name: Swoboda
- first_name: Carsten
full_name: Rother, Carsten
last_name: Rother
- first_name: Carsten
full_name: Abu Alhaija, Carsten
last_name: Abu Alhaija
- first_name: Dagmar
full_name: Kainmueller, Dagmar
last_name: Kainmueller
- first_name: Bogdan
full_name: Savchynskyy, Bogdan
last_name: Savchynskyy
citation:
ama: 'Swoboda P, Rother C, Abu Alhaija C, Kainmueller D, Savchynskyy B. A study
of lagrangean decompositions and dual ascent solvers for graph matching. In: Vol
2017. IEEE; 2017:7062-7071. doi:10.1109/CVPR.2017.747'
apa: 'Swoboda, P., Rother, C., Abu Alhaija, C., Kainmueller, D., & Savchynskyy,
B. (2017). A study of lagrangean decompositions and dual ascent solvers for graph
matching (Vol. 2017, pp. 7062–7071). Presented at the CVPR: Computer Vision and
Pattern Recognition, Honolulu, HA, United States: IEEE. https://doi.org/10.1109/CVPR.2017.747'
chicago: Swoboda, Paul, Carsten Rother, Carsten Abu Alhaija, Dagmar Kainmueller,
and Bogdan Savchynskyy. “A Study of Lagrangean Decompositions and Dual Ascent
Solvers for Graph Matching,” 2017:7062–71. IEEE, 2017. https://doi.org/10.1109/CVPR.2017.747.
ieee: 'P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, and B. Savchynskyy,
“A study of lagrangean decompositions and dual ascent solvers for graph matching,”
presented at the CVPR: Computer Vision and Pattern Recognition, Honolulu, HA,
United States, 2017, vol. 2017, pp. 7062–7071.'
ista: 'Swoboda P, Rother C, Abu Alhaija C, Kainmueller D, Savchynskyy B. 2017. A
study of lagrangean decompositions and dual ascent solvers for graph matching.
CVPR: Computer Vision and Pattern Recognition vol. 2017, 7062–7071.'
mla: Swoboda, Paul, et al. A Study of Lagrangean Decompositions and Dual Ascent
Solvers for Graph Matching. Vol. 2017, IEEE, 2017, pp. 7062–71, doi:10.1109/CVPR.2017.747.
short: P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, B. Savchynskyy, in:,
IEEE, 2017, pp. 7062–7071.
conference:
end_date: 2017-07-26
location: Honolulu, HA, United States
name: 'CVPR: Computer Vision and Pattern Recognition'
start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2023-09-26T15:41:40Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.747
ec_funded: 1
external_id:
isi:
- '000418371407018'
file:
- access_level: open_access
checksum: e38a2740daad1ea178465843b5072906
content_type: application/pdf
creator: dernst
date_created: 2019-01-18T12:49:38Z
date_updated: 2020-07-14T12:48:15Z
file_id: '5848'
file_name: 2017_CVPR_Swoboda2.pdf
file_size: 944332
relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: ' 2017'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 7062-7071
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
isbn:
- 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6525'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A study of lagrangean decompositions and dual ascent solvers for graph matching
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '915'
abstract:
- lang: eng
text: We propose a dual decomposition and linear program relaxation of the NP-hard
minimum cost multicut problem. Unlike other polyhedral relaxations of the multicut
polytope, it is amenable to efficient optimization by message passing. Like other
polyhedral relaxations, it can be tightened efficiently by cutting planes. We
define an algorithm that alternates between message passing and efficient separation
of cycle- and odd-wheel inequalities. This algorithm is more efficient than state-of-the-art
algorithms based on linear programming, including algorithms written in the framework
of leading commercial software, as we show in experiments with large instances
of the problem from applications in computer vision, biomedical image analysis
and data mining.
article_processing_charge: No
author:
- first_name: Paul
full_name: Swoboda, Paul
id: 446560C6-F248-11E8-B48F-1D18A9856A87
last_name: Swoboda
- first_name: Bjoern
full_name: Andres, Bjoern
last_name: Andres
citation:
ama: 'Swoboda P, Andres B. A message passing algorithm for the minimum cost multicut
problem. In: Vol 2017. IEEE; 2017:4990-4999. doi:10.1109/CVPR.2017.530'
apa: 'Swoboda, P., & Andres, B. (2017). A message passing algorithm for the
minimum cost multicut problem (Vol. 2017, pp. 4990–4999). Presented at the CVPR:
Computer Vision and Pattern Recognition, Honolulu, HA, United States: IEEE. https://doi.org/10.1109/CVPR.2017.530'
chicago: Swoboda, Paul, and Bjoern Andres. “A Message Passing Algorithm for the
Minimum Cost Multicut Problem,” 2017:4990–99. IEEE, 2017. https://doi.org/10.1109/CVPR.2017.530.
ieee: 'P. Swoboda and B. Andres, “A message passing algorithm for the minimum cost
multicut problem,” presented at the CVPR: Computer Vision and Pattern Recognition,
Honolulu, HA, United States, 2017, vol. 2017, pp. 4990–4999.'
ista: 'Swoboda P, Andres B. 2017. A message passing algorithm for the minimum cost
multicut problem. CVPR: Computer Vision and Pattern Recognition vol. 2017, 4990–4999.'
mla: Swoboda, Paul, and Bjoern Andres. A Message Passing Algorithm for the Minimum
Cost Multicut Problem. Vol. 2017, IEEE, 2017, pp. 4990–99, doi:10.1109/CVPR.2017.530.
short: P. Swoboda, B. Andres, in:, IEEE, 2017, pp. 4990–4999.
conference:
end_date: 2017-07-26
location: Honolulu, HA, United States
name: 'CVPR: Computer Vision and Pattern Recognition'
start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2023-09-26T15:43:27Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.530
ec_funded: 1
external_id:
isi:
- '000418371405009'
file:
- access_level: open_access
checksum: 7e51dacefa693574581a32da3eff63dc
content_type: application/pdf
creator: dernst
date_created: 2019-01-18T12:52:46Z
date_updated: 2020-07-14T12:48:15Z
file_id: '5849'
file_name: Swoboda_A_Message_Passing_CVPR_2017_paper.pdf
file_size: 883264
relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: ' 2017'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 4990-4999
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
isbn:
- 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6526'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A message passing algorithm for the minimum cost multicut problem
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '917'
abstract:
- lang: eng
text: We propose a general dual ascent framework for Lagrangean decomposition
of combinatorial problems. Although methods of this type have shown their efficiency
for a number of problems, so far there was no general algorithm applicable to
multiple problem types. In this work, we propose such a general algorithm. It
depends on several parameters, which can be used to optimize its performance in
each particular setting. We demonstrate efficacy of our method on graph matching
and multicut problems, where it outperforms state-of-the-art solvers including
those based on subgradient optimization and off-the-shelf linear programming solvers.
article_processing_charge: No
author:
- first_name: Paul
full_name: Swoboda, Paul
id: 446560C6-F248-11E8-B48F-1D18A9856A87
last_name: Swoboda
- first_name: Jan
full_name: Kuske, Jan
last_name: Kuske
- first_name: Bogdan
full_name: Savchynskyy, Bogdan
last_name: Savchynskyy
citation:
ama: 'Swoboda P, Kuske J, Savchynskyy B. A dual ascent framework for Lagrangean
decomposition of combinatorial problems. In: Vol 2017. IEEE; 2017:4950-4960. doi:10.1109/CVPR.2017.526'
apa: 'Swoboda, P., Kuske, J., & Savchynskyy, B. (2017). A dual ascent framework
for Lagrangean decomposition of combinatorial problems (Vol. 2017, pp. 4950–4960).
Presented at the CVPR: Computer Vision and Pattern Recognition, Honolulu, HA,
United States: IEEE. https://doi.org/10.1109/CVPR.2017.526'
chicago: Swoboda, Paul, Jan Kuske, and Bogdan Savchynskyy. “A Dual Ascent Framework
for Lagrangean Decomposition of Combinatorial Problems,” 2017:4950–60. IEEE, 2017.
https://doi.org/10.1109/CVPR.2017.526.
ieee: 'P. Swoboda, J. Kuske, and B. Savchynskyy, “A dual ascent framework for Lagrangean
decomposition of combinatorial problems,” presented at the CVPR: Computer Vision
and Pattern Recognition, Honolulu, HA, United States, 2017, vol. 2017, pp. 4950–4960.'
ista: 'Swoboda P, Kuske J, Savchynskyy B. 2017. A dual ascent framework for Lagrangean
decomposition of combinatorial problems. CVPR: Computer Vision and Pattern Recognition
vol. 2017, 4950–4960.'
mla: Swoboda, Paul, et al. A Dual Ascent Framework for Lagrangean Decomposition
of Combinatorial Problems. Vol. 2017, IEEE, 2017, pp. 4950–60, doi:10.1109/CVPR.2017.526.
short: P. Swoboda, J. Kuske, B. Savchynskyy, in:, IEEE, 2017, pp. 4950–4960.
conference:
end_date: 2017-07-26
location: Honolulu, HA, United States
name: 'CVPR: Computer Vision and Pattern Recognition'
start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2023-09-26T15:41:11Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.526
ec_funded: 1
external_id:
isi:
- '000418371405005'
file:
- access_level: open_access
checksum: 72fd291046bd8e5717961bd68f6b6f03
content_type: application/pdf
creator: dernst
date_created: 2019-01-18T12:45:55Z
date_updated: 2020-07-14T12:48:15Z
file_id: '5847'
file_name: 2017_CVPR_Swoboda.pdf
file_size: 898652
relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: ' 2017'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 4950-4960
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
isbn:
- 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6524'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A dual ascent framework for Lagrangean decomposition of combinatorial problems
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '274'
abstract:
- lang: eng
text: We consider the problem of estimating the partition function Z(β)=∑xexp(−β(H(x))
of a Gibbs distribution with a Hamilton H(⋅), or more precisely the logarithm
of the ratio q=lnZ(0)/Z(β). It has been recently shown how to approximate q with
high probability assuming the existence of an oracle that produces samples from
the Gibbs distribution for a given parameter value in [0,β]. The current best
known approach due to Huber [9] uses O(qlnn⋅[lnq+lnlnn+ε−2]) oracle calls on average
where ε is the desired accuracy of approximation and H(⋅) is assumed to lie in
{0}∪[1,n]. We improve the complexity to O(qlnn⋅ε−2) oracle calls. We also show
that the same complexity can be achieved if exact oracles are replaced with approximate
sampling oracles that are within O(ε2qlnn) variation distance from exact oracles.
Finally, we prove a lower bound of Ω(q⋅ε−2) oracle calls under a natural model
of computation.
article_processing_charge: No
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Kolmogorov V. A faster approximation algorithm for the Gibbs partition function.
In: Proceedings of the 31st Conference On Learning Theory. Vol 75. ML Research
Press; 2017:228-249.'
apa: Kolmogorov, V. (2017). A faster approximation algorithm for the Gibbs partition
function. In Proceedings of the 31st Conference On Learning Theory (Vol.
75, pp. 228–249). ML Research Press.
chicago: Kolmogorov, Vladimir. “A Faster Approximation Algorithm for the Gibbs Partition
Function.” In Proceedings of the 31st Conference On Learning Theory, 75:228–49.
ML Research Press, 2017.
ieee: V. Kolmogorov, “A faster approximation algorithm for the Gibbs partition function,”
in Proceedings of the 31st Conference On Learning Theory, 2017, vol. 75,
pp. 228–249.
ista: 'Kolmogorov V. 2017. A faster approximation algorithm for the Gibbs partition
function. Proceedings of the 31st Conference On Learning Theory. COLT: Annual
Conference on Learning Theory vol. 75, 228–249.'
mla: Kolmogorov, Vladimir. “A Faster Approximation Algorithm for the Gibbs Partition
Function.” Proceedings of the 31st Conference On Learning Theory, vol.
75, ML Research Press, 2017, pp. 228–49.
short: V. Kolmogorov, in:, Proceedings of the 31st Conference On Learning Theory,
ML Research Press, 2017, pp. 228–249.
conference:
end_date: 2018-07-09
name: 'COLT: Annual Conference on Learning Theory '
start_date: 2018-07-06
date_created: 2018-12-11T11:45:33Z
date_published: 2017-12-27T00:00:00Z
date_updated: 2023-10-17T12:32:13Z
day: '27'
ddc:
- '510'
department:
- _id: VlKo
ec_funded: 1
external_id:
arxiv:
- '1608.04223'
file:
- access_level: open_access
checksum: 89db06a0e8083524449cb59b56bf4e5b
content_type: application/pdf
creator: dernst
date_created: 2020-05-12T09:23:27Z
date_updated: 2020-07-14T12:45:45Z
file_id: '7820'
file_name: 2018_PMLR_Kolmogorov.pdf
file_size: 408974
relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
intvolume: ' 75'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 228-249
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Proceedings of the 31st Conference On Learning Theory
publication_status: published
publisher: ML Research Press
publist_id: '7628'
quality_controlled: '1'
status: public
title: A faster approximation algorithm for the Gibbs partition function
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 75
year: '2017'
...
---
_id: '5561'
abstract:
- lang: eng
text: 'Graph matching problems as described in "Active Graph Matching for Automatic
Joint Segmentation and Annotation of C. Elegans." by Kainmueller, Dagmar and Jug,
Florian and Rother, Carsten and Myers, Gene, MICCAI 2014. Problems are in OpenGM2
hdf5 format (see http://hciweb2.iwr.uni-heidelberg.de/opengm/) and a custom text
format used by the feature matching solver described in "Feature Correspondence
via Graph Matching: Models and Global Optimization." by Lorenzo Torresani, Vladimir
Kolmogorov and Carsten Rother, ECCV 2008, code at http://pub.ist.ac.at/~vnk/software/GraphMatching-v1.02.src.zip. '
acknowledgement: We thank Vladimir Kolmogorov and Stephan Saalfeld forinspiring discussions.
article_processing_charge: No
author:
- first_name: Dagmar
full_name: Kainmueller, Dagmar
last_name: Kainmueller
- first_name: Florian
full_name: Jug, Florian
last_name: Jug
- first_name: Carsten
full_name: Rother, Carsten
last_name: Rother
- first_name: Gene
full_name: Meyers, Gene
last_name: Meyers
citation:
ama: Kainmueller D, Jug F, Rother C, Meyers G. Graph matching problems for annotating
C. Elegans. 2017. doi:10.15479/AT:ISTA:57
apa: Kainmueller, D., Jug, F., Rother, C., & Meyers, G. (2017). Graph matching
problems for annotating C. Elegans. Institute of Science and Technology Austria.
https://doi.org/10.15479/AT:ISTA:57
chicago: Kainmueller, Dagmar, Florian Jug, Carsten Rother, and Gene Meyers. “Graph
Matching Problems for Annotating C. Elegans.” Institute of Science and Technology
Austria, 2017. https://doi.org/10.15479/AT:ISTA:57.
ieee: D. Kainmueller, F. Jug, C. Rother, and G. Meyers, “Graph matching problems
for annotating C. Elegans.” Institute of Science and Technology Austria, 2017.
ista: Kainmueller D, Jug F, Rother C, Meyers G. 2017. Graph matching problems for
annotating C. Elegans, Institute of Science and Technology Austria, 10.15479/AT:ISTA:57.
mla: Kainmueller, Dagmar, et al. Graph Matching Problems for Annotating C. Elegans.
Institute of Science and Technology Austria, 2017, doi:10.15479/AT:ISTA:57.
short: D. Kainmueller, F. Jug, C. Rother, G. Meyers, (2017).
datarep_id: '57'
date_created: 2018-12-12T12:31:32Z
date_published: 2017-02-13T00:00:00Z
date_updated: 2024-02-21T13:46:31Z
day: '13'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.15479/AT:ISTA:57
file:
- access_level: open_access
checksum: 3dc3e1306a66028a34181ebef2923139
content_type: application/zip
creator: system
date_created: 2018-12-12T13:02:54Z
date_updated: 2020-07-14T12:47:03Z
file_id: '5614'
file_name: IST-2017-57-v1+1_wormMatchingProblems.zip
file_size: 327042819
relation: main_file
file_date_updated: 2020-07-14T12:47:03Z
has_accepted_license: '1'
keyword:
- graph matching
- feature matching
- QAP
- MAP-inference
license: https://creativecommons.org/publicdomain/zero/1.0/
month: '02'
oa: 1
oa_version: Published Version
publisher: Institute of Science and Technology Austria
status: public
title: Graph matching problems for annotating C. Elegans
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
name: Creative Commons Public Domain Dedication (CC0 1.0)
short: CC0 (1.0)
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '1231'
abstract:
- lang: eng
text: 'We study the time-and memory-complexities of the problem of computing labels
of (multiple) randomly selected challenge-nodes in a directed acyclic graph. The
w-bit label of a node is the hash of the labels of its parents, and the hash function
is modeled as a random oracle. Specific instances of this problem underlie both
proofs of space [Dziembowski et al. CRYPTO’15] as well as popular memory-hard
functions like scrypt. As our main tool, we introduce the new notion of a probabilistic
parallel entangled pebbling game, a new type of combinatorial pebbling game on
a graph, which is closely related to the labeling game on the same graph. As a
first application of our framework, we prove that for scrypt, when the underlying
hash function is invoked n times, the cumulative memory complexity (CMC) (a notion
recently introduced by Alwen and Serbinenko (STOC’15) to capture amortized memory-hardness
for parallel adversaries) is at least Ω(w · (n/ log(n))2). This bound holds for
adversaries that can store many natural functions of the labels (e.g., linear
combinations), but still not arbitrary functions thereof. We then introduce and
study a combinatorial quantity, and show how a sufficiently small upper bound
on it (which we conjecture) extends our CMC bound for scrypt to hold against arbitrary
adversaries. We also show that such an upper bound solves the main open problem
for proofs-of-space protocols: namely, establishing that the time complexity of
computing the label of a random node in a graph on n nodes (given an initial kw-bit
state) reduces tightly to the time complexity for black pebbling on the same graph
(given an initial k-node pebbling).'
acknowledgement: "Joël Alwen, Chethan Kamath, and Krzysztof Pietrzak’s research is
partially supported by an ERC starting grant (259668-PSPC). Vladimir Kolmogorov
is partially supported by an ERC consolidator grant (616160-DOICV). Binyi Chen was
partially supported by NSF grants CNS-1423566 and CNS-1514526, and a gift from the
Gareatis Foundation. Stefano Tessaro was partially supported by NSF grants CNS-1423566,
CNS-1528178, a Hellman Fellowship, and the Glen and Susanne Culler Chair.\r\n\r\nThis
work was done in part while the authors were visiting the Simons Institute for the
Theory of Computing, supported by the Simons Foundation and by the DIMACS/Simons
Collaboration in Cryptography through NSF grant CNS-1523467."
alternative_title:
- LNCS
author:
- first_name: Joel F
full_name: Alwen, Joel F
id: 2A8DFA8C-F248-11E8-B48F-1D18A9856A87
last_name: Alwen
- first_name: Binyi
full_name: Chen, Binyi
last_name: Chen
- first_name: Chethan
full_name: Kamath Hosdurg, Chethan
id: 4BD3F30E-F248-11E8-B48F-1D18A9856A87
last_name: Kamath Hosdurg
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Krzysztof Z
full_name: Pietrzak, Krzysztof Z
id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
last_name: Pietrzak
orcid: 0000-0002-9139-1654
- first_name: Stefano
full_name: Tessaro, Stefano
last_name: Tessaro
citation:
ama: 'Alwen JF, Chen B, Kamath Hosdurg C, Kolmogorov V, Pietrzak KZ, Tessaro S.
On the complexity of scrypt and proofs of space in the parallel random oracle
model. In: Vol 9666. Springer; 2016:358-387. doi:10.1007/978-3-662-49896-5_13'
apa: 'Alwen, J. F., Chen, B., Kamath Hosdurg, C., Kolmogorov, V., Pietrzak, K. Z.,
& Tessaro, S. (2016). On the complexity of scrypt and proofs of space in the
parallel random oracle model (Vol. 9666, pp. 358–387). Presented at the EUROCRYPT:
Theory and Applications of Cryptographic Techniques, Vienna, Austria: Springer.
https://doi.org/10.1007/978-3-662-49896-5_13'
chicago: Alwen, Joel F, Binyi Chen, Chethan Kamath Hosdurg, Vladimir Kolmogorov,
Krzysztof Z Pietrzak, and Stefano Tessaro. “On the Complexity of Scrypt and Proofs
of Space in the Parallel Random Oracle Model,” 9666:358–87. Springer, 2016. https://doi.org/10.1007/978-3-662-49896-5_13.
ieee: 'J. F. Alwen, B. Chen, C. Kamath Hosdurg, V. Kolmogorov, K. Z. Pietrzak, and
S. Tessaro, “On the complexity of scrypt and proofs of space in the parallel random
oracle model,” presented at the EUROCRYPT: Theory and Applications of Cryptographic
Techniques, Vienna, Austria, 2016, vol. 9666, pp. 358–387.'
ista: 'Alwen JF, Chen B, Kamath Hosdurg C, Kolmogorov V, Pietrzak KZ, Tessaro S.
2016. On the complexity of scrypt and proofs of space in the parallel random oracle
model. EUROCRYPT: Theory and Applications of Cryptographic Techniques, LNCS, vol.
9666, 358–387.'
mla: Alwen, Joel F., et al. On the Complexity of Scrypt and Proofs of Space in
the Parallel Random Oracle Model. Vol. 9666, Springer, 2016, pp. 358–87, doi:10.1007/978-3-662-49896-5_13.
short: J.F. Alwen, B. Chen, C. Kamath Hosdurg, V. Kolmogorov, K.Z. Pietrzak, S.
Tessaro, in:, Springer, 2016, pp. 358–387.
conference:
end_date: 2016-05-12
location: Vienna, Austria
name: 'EUROCRYPT: Theory and Applications of Cryptographic Techniques'
start_date: 2016-05-08
date_created: 2018-12-11T11:50:51Z
date_published: 2016-04-28T00:00:00Z
date_updated: 2021-01-12T06:49:15Z
day: '28'
department:
- _id: KrPi
- _id: VlKo
doi: 10.1007/978-3-662-49896-5_13
ec_funded: 1
intvolume: ' 9666'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprint.iacr.org/2016/100
month: '04'
oa: 1
oa_version: Submitted Version
page: 358 - 387
project:
- _id: 258C570E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '259668'
name: Provable Security for Physical Cryptography
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_status: published
publisher: Springer
publist_id: '6103'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the complexity of scrypt and proofs of space in the parallel random oracle
model
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9666
year: '2016'
...
---
_id: '1353'
abstract:
- lang: eng
text: We characterize absorption in finite idempotent algebras by means of Jónsson
absorption and cube term blockers. As an application we show that it is decidable
whether a given subset is an absorbing subuniverse of an algebra given by the
tables of its basic operations.
acknowledgement: 'Libor Barto and Alexandr Kazda were supported by the the Grant Agency
of the Czech Republic, grant GACR 13-01832S. '
author:
- first_name: Libor
full_name: Barto, Libor
last_name: Barto
- first_name: Alexandr
full_name: Kazda, Alexandr
id: 3B32BAA8-F248-11E8-B48F-1D18A9856A87
last_name: Kazda
citation:
ama: Barto L, Kazda A. Deciding absorption. International Journal of Algebra
and Computation. 2016;26(5):1033-1060. doi:10.1142/S0218196716500430
apa: Barto, L., & Kazda, A. (2016). Deciding absorption. International Journal
of Algebra and Computation. World Scientific Publishing. https://doi.org/10.1142/S0218196716500430
chicago: Barto, Libor, and Alexandr Kazda. “Deciding Absorption.” International
Journal of Algebra and Computation. World Scientific Publishing, 2016. https://doi.org/10.1142/S0218196716500430.
ieee: L. Barto and A. Kazda, “Deciding absorption,” International Journal of
Algebra and Computation, vol. 26, no. 5. World Scientific Publishing, pp.
1033–1060, 2016.
ista: Barto L, Kazda A. 2016. Deciding absorption. International Journal of Algebra
and Computation. 26(5), 1033–1060.
mla: Barto, Libor, and Alexandr Kazda. “Deciding Absorption.” International Journal
of Algebra and Computation, vol. 26, no. 5, World Scientific Publishing, 2016,
pp. 1033–60, doi:10.1142/S0218196716500430.
short: L. Barto, A. Kazda, International Journal of Algebra and Computation 26 (2016)
1033–1060.
date_created: 2018-12-11T11:51:32Z
date_published: 2016-07-20T00:00:00Z
date_updated: 2021-01-12T06:50:06Z
day: '20'
department:
- _id: VlKo
doi: 10.1142/S0218196716500430
intvolume: ' 26'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1512.07009
month: '07'
oa: 1
oa_version: Preprint
page: 1033 - 1060
publication: International Journal of Algebra and Computation
publication_status: published
publisher: World Scientific Publishing
publist_id: '5893'
quality_controlled: '1'
scopus_import: 1
status: public
title: Deciding absorption
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2016'
...
---
_id: '1377'
abstract:
- lang: eng
text: We consider the problem of minimizing the continuous valued total variation
subject to different unary terms on trees and propose fast direct algorithms based
on dynamic programming to solve these problems. We treat both the convex and the
nonconvex case and derive worst-case complexities that are equal to or better
than existing methods. We show applications to total variation based two dimensional
image processing and computer vision problems based on a Lagrangian decomposition
approach. The resulting algorithms are very effcient, offer a high degree of parallelism,
and come along with memory requirements which are only in the order of the number
of image pixels.
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Thomas
full_name: Pock, Thomas
last_name: Pock
- first_name: Michal
full_name: Rolinek, Michal
id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
last_name: Rolinek
citation:
ama: Kolmogorov V, Pock T, Rolinek M. Total variation on a tree. SIAM Journal
on Imaging Sciences. 2016;9(2):605-636. doi:10.1137/15M1010257
apa: Kolmogorov, V., Pock, T., & Rolinek, M. (2016). Total variation on a tree.
SIAM Journal on Imaging Sciences. Society for Industrial and Applied Mathematics
. https://doi.org/10.1137/15M1010257
chicago: Kolmogorov, Vladimir, Thomas Pock, and Michal Rolinek. “Total Variation
on a Tree.” SIAM Journal on Imaging Sciences. Society for Industrial and
Applied Mathematics , 2016. https://doi.org/10.1137/15M1010257.
ieee: V. Kolmogorov, T. Pock, and M. Rolinek, “Total variation on a tree,” SIAM
Journal on Imaging Sciences, vol. 9, no. 2. Society for Industrial and Applied
Mathematics , pp. 605–636, 2016.
ista: Kolmogorov V, Pock T, Rolinek M. 2016. Total variation on a tree. SIAM Journal
on Imaging Sciences. 9(2), 605–636.
mla: Kolmogorov, Vladimir, et al. “Total Variation on a Tree.” SIAM Journal on
Imaging Sciences, vol. 9, no. 2, Society for Industrial and Applied Mathematics
, 2016, pp. 605–36, doi:10.1137/15M1010257.
short: V. Kolmogorov, T. Pock, M. Rolinek, SIAM Journal on Imaging Sciences 9 (2016)
605–636.
date_created: 2018-12-11T11:51:40Z
date_published: 2016-05-03T00:00:00Z
date_updated: 2021-01-12T06:50:15Z
day: '03'
department:
- _id: VlKo
doi: 10.1137/15M1010257
ec_funded: 1
intvolume: ' 9'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1502.07770
month: '05'
oa: 1
oa_version: Preprint
page: 605 - 636
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: SIAM Journal on Imaging Sciences
publication_status: published
publisher: 'Society for Industrial and Applied Mathematics '
publist_id: '5834'
quality_controlled: '1'
scopus_import: 1
status: public
title: Total variation on a tree
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
_id: '1612'
abstract:
- lang: eng
text: We prove that whenever A is a 3-conservative relational structure with only
binary and unary relations,then the algebra of polymorphisms of A either has no
Taylor operation (i.e.,CSP(A)is NP-complete),or it generates an SD(∧) variety
(i.e.,CSP(A)has bounded width).
author:
- first_name: Alexandr
full_name: Kazda, Alexandr
id: 3B32BAA8-F248-11E8-B48F-1D18A9856A87
last_name: Kazda
citation:
ama: Kazda A. CSP for binary conservative relational structures. Algebra Universalis.
2016;75(1):75-84. doi:10.1007/s00012-015-0358-8
apa: Kazda, A. (2016). CSP for binary conservative relational structures. Algebra
Universalis. Springer. https://doi.org/10.1007/s00012-015-0358-8
chicago: Kazda, Alexandr. “CSP for Binary Conservative Relational Structures.” Algebra
Universalis. Springer, 2016. https://doi.org/10.1007/s00012-015-0358-8.
ieee: A. Kazda, “CSP for binary conservative relational structures,” Algebra
Universalis, vol. 75, no. 1. Springer, pp. 75–84, 2016.
ista: Kazda A. 2016. CSP for binary conservative relational structures. Algebra
Universalis. 75(1), 75–84.
mla: Kazda, Alexandr. “CSP for Binary Conservative Relational Structures.” Algebra
Universalis, vol. 75, no. 1, Springer, 2016, pp. 75–84, doi:10.1007/s00012-015-0358-8.
short: A. Kazda, Algebra Universalis 75 (2016) 75–84.
date_created: 2018-12-11T11:53:01Z
date_published: 2016-02-01T00:00:00Z
date_updated: 2021-01-12T06:52:00Z
day: '01'
department:
- _id: VlKo
doi: 10.1007/s00012-015-0358-8
intvolume: ' 75'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1112.1099
month: '02'
oa: 1
oa_version: Preprint
page: 75 - 84
publication: Algebra Universalis
publication_status: published
publisher: Springer
publist_id: '5554'
quality_controlled: '1'
scopus_import: 1
status: public
title: CSP for binary conservative relational structures
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 75
year: '2016'
...
---
_id: '1193'
abstract:
- lang: eng
text: We consider the recent formulation of the Algorithmic Lovász Local Lemma [1],
[2] for finding objects that avoid "bad features", or "flaws".
It extends the Moser-Tardos resampling algorithm [3] to more general discrete
spaces. At each step the method picks a flaw present in the current state and
"resamples" it using a "resampling oracle" provided by the
user. However, it is less flexible than the Moser-Tardos method since [1], [2]
require a specific flaw selection rule, whereas [3] allows an arbitrary rule (and
thus can potentially be implemented more efficiently). We formulate a new "commutativity"
condition, and prove that it is sufficient for an arbitrary rule to work. It also
enables an efficient parallelization under an additional assumption. We then show
that existing resampling oracles for perfect matchings and permutations do satisfy
this condition. Finally, we generalize the precondition in [2] (in the case of
symmetric potential causality graphs). This unifies special cases that previously
were treated separately.
acknowledgement: European Unions Seventh Framework Programme (FP7/2007-2013)/ERC grant
agreement no 616160
article_number: '7782993'
article_processing_charge: No
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Kolmogorov V. Commutativity in the algorithmic Lovasz local lemma. In: Proceedings
- Annual IEEE Symposium on Foundations of Computer Science. Vol 2016-December.
IEEE; 2016. doi:10.1109/FOCS.2016.88'
apa: 'Kolmogorov, V. (2016). Commutativity in the algorithmic Lovasz local lemma.
In Proceedings - Annual IEEE Symposium on Foundations of Computer Science
(Vol. 2016–December). New Brunswick, NJ, USA : IEEE. https://doi.org/10.1109/FOCS.2016.88'
chicago: Kolmogorov, Vladimir. “Commutativity in the Algorithmic Lovasz Local Lemma.”
In Proceedings - Annual IEEE Symposium on Foundations of Computer Science,
Vol. 2016–December. IEEE, 2016. https://doi.org/10.1109/FOCS.2016.88.
ieee: V. Kolmogorov, “Commutativity in the algorithmic Lovasz local lemma,” in Proceedings
- Annual IEEE Symposium on Foundations of Computer Science, New Brunswick,
NJ, USA , 2016, vol. 2016–December.
ista: 'Kolmogorov V. 2016. Commutativity in the algorithmic Lovasz local lemma.
Proceedings - Annual IEEE Symposium on Foundations of Computer Science. FOCS:
Foundations of Computer Science vol. 2016–December, 7782993.'
mla: Kolmogorov, Vladimir. “Commutativity in the Algorithmic Lovasz Local Lemma.”
Proceedings - Annual IEEE Symposium on Foundations of Computer Science,
vol. 2016–December, 7782993, IEEE, 2016, doi:10.1109/FOCS.2016.88.
short: V. Kolmogorov, in:, Proceedings - Annual IEEE Symposium on Foundations of
Computer Science, IEEE, 2016.
conference:
end_date: 2016-09-11
location: 'New Brunswick, NJ, USA '
name: 'FOCS: Foundations of Computer Science'
start_date: 2016-09-09
date_created: 2018-12-11T11:50:38Z
date_published: 2016-12-15T00:00:00Z
date_updated: 2023-09-19T14:24:57Z
day: '15'
department:
- _id: VlKo
doi: 10.1109/FOCS.2016.88
ec_funded: 1
external_id:
arxiv:
- '1506.08547'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1506.08547v7
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Proceedings - Annual IEEE Symposium on Foundations of Computer Science
publication_status: published
publisher: IEEE
publist_id: '6158'
quality_controlled: '1'
related_material:
record:
- id: '5975'
relation: later_version
status: public
scopus_import: 1
status: public
title: Commutativity in the algorithmic Lovasz local lemma
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2016-December
year: '2016'
...