---
_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. '
article_processing_charge: No
arxiv: 1
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: 2025-09-22T08:10:54Z
day: '20'
department:
- _id: VlKo
doi: 10.1142/S0218196716500430
external_id:
arxiv:
- '1512.07009'
isi:
- '000383151800008'
intvolume: ' 26'
isi: 1
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
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).
article_processing_charge: No
arxiv: 1
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.
corr_author: '1'
date_created: 2018-12-11T11:53:01Z
date_published: 2016-02-01T00:00:00Z
date_updated: 2025-09-18T11:00:04Z
day: '01'
department:
- _id: VlKo
doi: 10.1007/s00012-015-0358-8
external_id:
arxiv:
- '1112.1099'
isi:
- '000375422500006'
intvolume: ' 75'
isi: 1
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 75
year: '2016'
...
---
_id: '5557'
abstract:
- lang: eng
text: "Small synthetic discrete tomography problems.\r\nSizes are 32x32, 64z64 and
256x256.\r\nProjection angles are 2, 4, and 6.\r\nNumber of labels are 3 and 5."
article_processing_charge: No
author:
- first_name: Paul
full_name: Swoboda, Paul
id: 446560C6-F248-11E8-B48F-1D18A9856A87
last_name: Swoboda
citation:
ama: Swoboda P. Synthetic discrete tomography problems. 2016. doi:10.15479/AT:ISTA:46
apa: Swoboda, P. (2016). Synthetic discrete tomography problems. Institute of Science
and Technology Austria. https://doi.org/10.15479/AT:ISTA:46
chicago: Swoboda, Paul. “Synthetic Discrete Tomography Problems.” Institute of Science
and Technology Austria, 2016. https://doi.org/10.15479/AT:ISTA:46.
ieee: P. Swoboda, “Synthetic discrete tomography problems.” Institute of Science
and Technology Austria, 2016.
ista: Swoboda P. 2016. Synthetic discrete tomography problems, Institute of Science
and Technology Austria, 10.15479/AT:ISTA:46.
mla: Swoboda, Paul. Synthetic Discrete Tomography Problems. Institute of
Science and Technology Austria, 2016, doi:10.15479/AT:ISTA:46.
short: P. Swoboda, (2016).
contributor:
- contributor_type: data_collector
first_name: Jan
last_name: Kuske
datarep_id: '46'
date_created: 2018-12-12T12:31:31Z
date_published: 2016-09-20T00:00:00Z
date_updated: 2024-02-21T13:50:21Z
day: '20'
ddc:
- '006'
department:
- _id: VlKo
doi: 10.15479/AT:ISTA:46
file:
- access_level: open_access
checksum: aa5a16a0dc888da7186fb8fc45e88439
content_type: application/zip
creator: system
date_created: 2018-12-12T13:05:19Z
date_updated: 2020-07-14T12:47:02Z
file_id: '5645'
file_name: IST-2016-46-v1+1_discrete_tomography_synthetic.zip
file_size: 36058401
relation: main_file
file_date_updated: 2020-07-14T12:47:02Z
has_accepted_license: '1'
keyword:
- discrete tomography
license: https://creativecommons.org/publicdomain/zero/1.0/
month: '09'
oa: 1
oa_version: Published Version
publisher: Institute of Science and Technology Austria
status: public
title: Synthetic discrete tomography problems
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: '2016'
...
---
_id: '1794'
abstract:
- lang: eng
text: We consider Conditional random fields (CRFs) with pattern-based potentials
defined on a chain. In this model the energy of a string (labeling) (Formula presented.)
is the sum of terms over intervals [i, j] where each term is non-zero only if
the substring (Formula presented.) equals a prespecified pattern w. Such CRFs
can be naturally applied to many sequence tagging problems. We present efficient
algorithms for the three standard inference tasks in a CRF, namely computing (i)
the partition function, (ii) marginals, and (iii) computing the MAP. Their complexities
are respectively (Formula presented.), (Formula presented.) and (Formula presented.)
where L is the combined length of input patterns, (Formula presented.) is the
maximum length of a pattern, and D is the input alphabet. This improves on the
previous algorithms of Ye et al. (NIPS, 2009) whose complexities are respectively
(Formula presented.), (Formula presented.) and (Formula presented.), where (Formula
presented.) is the number of input patterns. In addition, we give an efficient
algorithm for sampling, and revisit the case of MAP with non-positive weights.
acknowledgement: This work has been partially supported by the European Research Council
under the European Unions Seventh Framework Programme (FP7/2007-2013)/ERC grant
agreement no. 616160.
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Rustem
full_name: Takhanov, Rustem
id: 2CCAC26C-F248-11E8-B48F-1D18A9856A87
last_name: Takhanov
citation:
ama: Kolmogorov V, Takhanov R. Inference algorithms for pattern-based CRFs on sequence
data. Algorithmica. 2016;76(1):17-46. doi:10.1007/s00453-015-0017-7
apa: Kolmogorov, V., & Takhanov, R. (2016). Inference algorithms for pattern-based
CRFs on sequence data. Algorithmica. Springer. https://doi.org/10.1007/s00453-015-0017-7
chicago: Kolmogorov, Vladimir, and Rustem Takhanov. “Inference Algorithms for Pattern-Based
CRFs on Sequence Data.” Algorithmica. Springer, 2016. https://doi.org/10.1007/s00453-015-0017-7.
ieee: V. Kolmogorov and R. Takhanov, “Inference algorithms for pattern-based CRFs
on sequence data,” Algorithmica, vol. 76, no. 1. Springer, pp. 17–46, 2016.
ista: Kolmogorov V, Takhanov R. 2016. Inference algorithms for pattern-based CRFs
on sequence data. Algorithmica. 76(1), 17–46.
mla: Kolmogorov, Vladimir, and Rustem Takhanov. “Inference Algorithms for Pattern-Based
CRFs on Sequence Data.” Algorithmica, vol. 76, no. 1, Springer, 2016, pp.
17–46, doi:10.1007/s00453-015-0017-7.
short: V. Kolmogorov, R. Takhanov, Algorithmica 76 (2016) 17–46.
corr_author: '1'
date_created: 2018-12-11T11:54:02Z
date_published: 2016-09-01T00:00:00Z
date_updated: 2025-09-29T14:28:47Z
day: '01'
department:
- _id: VlKo
doi: 10.1007/s00453-015-0017-7
ec_funded: 1
external_id:
arxiv:
- '1210.0508'
isi:
- '000381149500002'
intvolume: ' 76'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1210.0508
month: '09'
oa: 1
oa_version: Preprint
page: 17 - 46
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Algorithmica
publication_status: published
publisher: Springer
publist_id: '5316'
quality_controlled: '1'
related_material:
record:
- id: '2272'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Inference algorithms for pattern-based CRFs on sequence data
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 76
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.
article_processing_charge: No
arxiv: 1
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.
das_tickbox: '1'
date_created: 2018-12-11T11:51:40Z
date_published: 2016-05-03T00:00:00Z
date_updated: 2026-07-06T13:59:54Z
day: '03'
department:
- _id: VlKo
doi: 10.1137/15M1010257
ec_funded: 1
external_id:
arxiv:
- '1502.07770'
isi:
- '000385275400005'
intvolume: ' 9'
isi: 1
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
_id: '2271'
abstract:
- lang: eng
text: "A class of valued constraint satisfaction problems (VCSPs) is characterised
by a valued constraint language, a fixed set of cost functions on a finite domain.
Finite-valued constraint languages contain functions that take on rational costs
and general-valued constraint languages contain functions that take on rational
or infinite costs. An instance of the problem is specified by a sum of functions
from the language with the goal to minimise the sum. This framework includes and
generalises well-studied constraint satisfaction problems (CSPs) and maximum constraint
satisfaction problems (Max-CSPs).\r\nOur main result is a precise algebraic characterisation
of valued constraint languages whose instances can be solved exactly by the basic
linear programming relaxation (BLP). For a general-valued constraint language
Γ, BLP is a decision procedure for Γ if and only if Γ admits a symmetric fractional
polymorphism of every arity. For a finite-valued constraint language Γ, BLP is
a decision procedure if and only if Γ admits a symmetric fractional polymorphism
of some arity, or equivalently, if Γ admits a symmetric fractional polymorphism
of arity 2.\r\nUsing these results, we obtain tractability of several novel and
previously widely-open classes of VCSPs, including problems over valued constraint
languages that are: (1) submodular on arbitrary lattices; (2) bisubmodular (also
known as k-submodular) on arbitrary finite domains; (3) weakly (and hence strongly)
tree-submodular on arbitrary trees. "
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Johan
full_name: Thapper, Johan
last_name: Thapper
- first_name: Stanislav
full_name: Živný, Stanislav
last_name: Živný
citation:
ama: Kolmogorov V, Thapper J, Živný S. The power of linear programming for general-valued
CSPs. SIAM Journal on Computing. 2015;44(1):1-36. doi:10.1137/130945648
apa: Kolmogorov, V., Thapper, J., & Živný, S. (2015). The power of linear programming
for general-valued CSPs. SIAM Journal on Computing. SIAM. https://doi.org/10.1137/130945648
chicago: Kolmogorov, Vladimir, Johan Thapper, and Stanislav Živný. “The Power of
Linear Programming for General-Valued CSPs.” SIAM Journal on Computing.
SIAM, 2015. https://doi.org/10.1137/130945648.
ieee: V. Kolmogorov, J. Thapper, and S. Živný, “The power of linear programming
for general-valued CSPs,” SIAM Journal on Computing, vol. 44, no. 1. SIAM,
pp. 1–36, 2015.
ista: Kolmogorov V, Thapper J, Živný S. 2015. The power of linear programming for
general-valued CSPs. SIAM Journal on Computing. 44(1), 1–36.
mla: Kolmogorov, Vladimir, et al. “The Power of Linear Programming for General-Valued
CSPs.” SIAM Journal on Computing, vol. 44, no. 1, SIAM, 2015, pp. 1–36,
doi:10.1137/130945648.
short: V. Kolmogorov, J. Thapper, S. Živný, SIAM Journal on Computing 44 (2015)
1–36.
date_created: 2018-12-11T11:56:41Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-23T14:14:57Z
day: '01'
department:
- _id: VlKo
doi: 10.1137/130945648
external_id:
arxiv:
- '1311.4219'
isi:
- '000353967100001'
intvolume: ' 44'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1311.4219
month: '02'
oa: 1
oa_version: Preprint
page: 1 - 36
publication: SIAM Journal on Computing
publication_status: published
publisher: SIAM
publist_id: '4673'
quality_controlled: '1'
related_material:
record:
- id: '2518'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: The power of linear programming for general-valued CSPs
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 44
year: '2015'
...
---
_id: '1636'
abstract:
- lang: eng
text: "Constraint Satisfaction Problem (CSP) is a fundamental algorithmic problem
that appears in many areas of Computer Science. It can be equivalently stated
as computing a homomorphism R→ΓΓ between two relational structures, e.g. between
two directed graphs. Analyzing its complexity has been a prominent research direction,
especially for the fixed template CSPs where the right side ΓΓ is fixed and the
left side R is unconstrained.\r\n\r\nFar fewer results are known for the hybrid
setting that restricts both sides simultaneously. It assumes that R belongs to
a certain class of relational structures (called a structural restriction in this
paper). We study which structural restrictions are effective, i.e. there exists
a fixed template ΓΓ (from a certain class of languages) for which the problem
is tractable when R is restricted, and NP-hard otherwise. We provide a characterization
for structural restrictions that are closed under inverse homomorphisms. The criterion
is based on the chromatic number of a relational structure defined in this paper;
it generalizes the standard chromatic number of a graph.\r\n\r\nAs our main tool,
we use the algebraic machinery developed for fixed template CSPs. To apply it
to our case, we introduce a new construction called a “lifted language”. We also
give a characterization for structural restrictions corresponding to minor-closed
families of graphs, extend results to certain Valued CSPs (namely conservative
valued languages), and state implications for (valued) CSPs with ordered variables
and for the maximum weight independent set problem on some restricted families
of graphs."
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Michal
full_name: Rolinek, Michal
id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
last_name: Rolinek
- first_name: Rustem
full_name: Takhanov, Rustem
last_name: Takhanov
citation:
ama: 'Kolmogorov V, Rolinek M, Takhanov R. Effectiveness of structural restrictions
for hybrid CSPs. In: 26th International Symposium. Vol 9472. Springer Nature;
2015:566-577. doi:10.1007/978-3-662-48971-0_48'
apa: 'Kolmogorov, V., Rolinek, M., & Takhanov, R. (2015). Effectiveness of structural
restrictions for hybrid CSPs. In 26th International Symposium (Vol. 9472,
pp. 566–577). Nagoya, Japan: Springer Nature. https://doi.org/10.1007/978-3-662-48971-0_48'
chicago: Kolmogorov, Vladimir, Michal Rolinek, and Rustem Takhanov. “Effectiveness
of Structural Restrictions for Hybrid CSPs.” In 26th International Symposium,
9472:566–77. Springer Nature, 2015. https://doi.org/10.1007/978-3-662-48971-0_48.
ieee: V. Kolmogorov, M. Rolinek, and R. Takhanov, “Effectiveness of structural restrictions
for hybrid CSPs,” in 26th International Symposium, Nagoya, Japan, 2015,
vol. 9472, pp. 566–577.
ista: 'Kolmogorov V, Rolinek M, Takhanov R. 2015. Effectiveness of structural restrictions
for hybrid CSPs. 26th International Symposium. ISAAC: International Symposium
on Algorithms and Computation, LNCS, vol. 9472, 566–577.'
mla: Kolmogorov, Vladimir, et al. “Effectiveness of Structural Restrictions for
Hybrid CSPs.” 26th International Symposium, vol. 9472, Springer Nature,
2015, pp. 566–77, doi:10.1007/978-3-662-48971-0_48.
short: V. Kolmogorov, M. Rolinek, R. Takhanov, in:, 26th International Symposium,
Springer Nature, 2015, pp. 566–577.
conference:
end_date: 2015-12-11
location: Nagoya, Japan
name: 'ISAAC: International Symposium on Algorithms and Computation'
start_date: 2015-12-09
date_created: 2018-12-11T11:53:10Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2025-09-23T08:39:38Z
day: '01'
department:
- _id: VlKo
doi: 10.1007/978-3-662-48971-0_48
ec_funded: 1
external_id:
arxiv:
- '1504.07067'
isi:
- '000375151300048'
intvolume: ' 9472'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1504.07067
month: '12'
oa: 1
oa_version: Preprint
page: 566 - 577
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: 26th International Symposium
publication_identifier:
isbn:
- 978-3-662-48970-3
publication_status: published
publisher: Springer Nature
publist_id: '5519'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Effectiveness of structural restrictions for hybrid CSPs
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9472
year: '2015'
...
---
_id: '1637'
abstract:
- lang: eng
text: An instance of the Valued Constraint Satisfaction Problem (VCSP) is given
by a finite set of variables, a finite domain of labels, and a sum of functions,
each function depending on a subset of the variables. Each function can take finite
values specifying costs of assignments of labels to its variables or the infinite
value, which indicates an infeasible assignment. The goal is to find an assignment
of labels to the variables that minimizes the sum. We study, assuming that P ≠
NP, how the complexity of this very general problem depends on the set of functions
allowed in the instances, the so-called constraint language. The case when all
allowed functions take values in {0, ∞} corresponds to ordinary CSPs, where one
deals only with the feasibility issue and there is no optimization. This case
is the subject of the Algebraic CSP Dichotomy Conjecture predicting for which
constraint languages CSPs are tractable (i.e. solvable in polynomial time) and
for which NP-hard. The case when all allowed functions take only finite values
corresponds to finite-valued CSP, where the feasibility aspect is trivial and
one deals only with the optimization issue. The complexity of finite-valued CSPs
was fully classified by Thapper and Zivny. An algebraic necessary condition for
tractability of a general-valued CSP with a fixed constraint language was recently
given by Kozik and Ochremiak. As our main result, we prove that if a constraint
language satisfies this algebraic necessary condition, and the feasibility CSP
(i.e. the problem of deciding whether a given instance has a feasible solution)
corresponding to the VCSP with this language is tractable, then the VCSP is tractable.
The algorithm is a simple combination of the assumed algorithm for the feasibility
CSP and the standard LP relaxation. As a corollary, we obtain that a dichotomy
for ordinary CSPs would imply a dichotomy for general-valued CSPs.
alternative_title:
- 56th Annual Symposium on Foundations of Computer Science
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Andrei
full_name: Krokhin, Andrei
last_name: Krokhin
- first_name: Michal
full_name: Rolinek, Michal
id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
last_name: Rolinek
citation:
ama: 'Kolmogorov V, Krokhin A, Rolinek M. The complexity of general-valued CSPs.
In: IEEE; 2015:1246-1258. doi:10.1109/FOCS.2015.80'
apa: 'Kolmogorov, V., Krokhin, A., & Rolinek, M. (2015). The complexity of general-valued
CSPs (pp. 1246–1258). Presented at the FOCS: Foundations of Computer Science,
Berkeley, CA, United States: IEEE. https://doi.org/10.1109/FOCS.2015.80'
chicago: Kolmogorov, Vladimir, Andrei Krokhin, and Michal Rolinek. “The Complexity
of General-Valued CSPs,” 1246–58. IEEE, 2015. https://doi.org/10.1109/FOCS.2015.80.
ieee: 'V. Kolmogorov, A. Krokhin, and M. Rolinek, “The complexity of general-valued
CSPs,” presented at the FOCS: Foundations of Computer Science, Berkeley, CA, United
States, 2015, pp. 1246–1258.'
ista: 'Kolmogorov V, Krokhin A, Rolinek M. 2015. The complexity of general-valued
CSPs. FOCS: Foundations of Computer Science, 56th Annual Symposium on Foundations
of Computer Science, , 1246–1258.'
mla: Kolmogorov, Vladimir, et al. The Complexity of General-Valued CSPs.
IEEE, 2015, pp. 1246–58, doi:10.1109/FOCS.2015.80.
short: V. Kolmogorov, A. Krokhin, M. Rolinek, in:, IEEE, 2015, pp. 1246–1258.
conference:
end_date: 2015-10-20
location: Berkeley, CA, United States
name: 'FOCS: Foundations of Computer Science'
start_date: 2015-10-18
corr_author: '1'
date_created: 2018-12-11T11:53:10Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2025-09-23T13:45:57Z
day: '01'
department:
- _id: VlKo
doi: 10.1109/FOCS.2015.80
ec_funded: 1
external_id:
arxiv:
- '1502.07327'
isi:
- '000379204700071'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1502.07327
month: '12'
oa: 1
oa_version: Preprint
page: 1246 - 1258
project:
- _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: IEEE
publist_id: '5518'
quality_controlled: '1'
related_material:
record:
- id: '644'
relation: other
status: public
scopus_import: '1'
status: public
title: The complexity of general-valued CSPs
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2015'
...
---
_id: '1675'
abstract:
- lang: eng
text: Proofs of work (PoW) have been suggested by Dwork and Naor (Crypto’92) as
protection to a shared resource. The basic idea is to ask the service requestor
to dedicate some non-trivial amount of computational work to every request. The
original applications included prevention of spam and protection against denial
of service attacks. More recently, PoWs have been used to prevent double spending
in the Bitcoin digital currency system. In this work, we put forward an alternative
concept for PoWs - so-called proofs of space (PoS), where a service requestor
must dedicate a significant amount of disk space as opposed to computation. We
construct secure PoS schemes in the random oracle model (with one additional mild
assumption required for the proof to go through), using graphs with high “pebbling
complexity” and Merkle hash-trees. We discuss some applications, including follow-up
work where a decentralized digital currency scheme called Spacecoin is constructed
that uses PoS (instead of wasteful PoW like in Bitcoin) to prevent double spending.
The main technical contribution of this work is the construction of (directed,
loop-free) graphs on N vertices with in-degree O(log logN) such that even if one
places Θ(N) pebbles on the nodes of the graph, there’s a constant fraction of
nodes that needs Θ(N) steps to be pebbled (where in every step one can put a pebble
on a node if all its parents have a pebble).
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Stefan
full_name: Dziembowski, Stefan
last_name: Dziembowski
- first_name: Sebastian
full_name: Faust, Sebastian
last_name: Faust
- 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
citation:
ama: 'Dziembowski S, Faust S, Kolmogorov V, Pietrzak KZ. Proofs of space. In: 35th
Annual Cryptology Conference. Vol 9216. Springer; 2015:585-605. doi:10.1007/978-3-662-48000-7_29'
apa: 'Dziembowski, S., Faust, S., Kolmogorov, V., & Pietrzak, K. Z. (2015).
Proofs of space. In 35th Annual Cryptology Conference (Vol. 9216, pp. 585–605).
Santa Barbara, CA, United States: Springer. https://doi.org/10.1007/978-3-662-48000-7_29'
chicago: Dziembowski, Stefan, Sebastian Faust, Vladimir Kolmogorov, and Krzysztof
Z Pietrzak. “Proofs of Space.” In 35th Annual Cryptology Conference, 9216:585–605.
Springer, 2015. https://doi.org/10.1007/978-3-662-48000-7_29.
ieee: S. Dziembowski, S. Faust, V. Kolmogorov, and K. Z. Pietrzak, “Proofs of space,”
in 35th Annual Cryptology Conference, Santa Barbara, CA, United States,
2015, vol. 9216, pp. 585–605.
ista: 'Dziembowski S, Faust S, Kolmogorov V, Pietrzak KZ. 2015. Proofs of space.
35th Annual Cryptology Conference. CRYPTO: International Cryptology Conference,
LNCS, vol. 9216, 585–605.'
mla: Dziembowski, Stefan, et al. “Proofs of Space.” 35th Annual Cryptology Conference,
vol. 9216, Springer, 2015, pp. 585–605, doi:10.1007/978-3-662-48000-7_29.
short: S. Dziembowski, S. Faust, V. Kolmogorov, K.Z. Pietrzak, in:, 35th Annual
Cryptology Conference, Springer, 2015, pp. 585–605.
conference:
end_date: 2015-08-20
location: Santa Barbara, CA, United States
name: 'CRYPTO: International Cryptology Conference'
start_date: 2015-08-16
date_created: 2018-12-11T11:53:24Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2025-09-23T09:55:25Z
day: '01'
department:
- _id: VlKo
- _id: KrPi
doi: 10.1007/978-3-662-48000-7_29
ec_funded: 1
external_id:
isi:
- '000364183100029'
intvolume: ' 9216'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprint.iacr.org/2013/796.pdf
month: '08'
oa: 1
oa_version: Preprint
page: 585 - 605
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
- _id: 258C570E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '259668'
name: Provable Security for Physical Cryptography
publication: 35th Annual Cryptology Conference
publication_identifier:
isbn:
- '9783662479995'
issn:
- 0302-9743
publication_status: published
publisher: Springer
publist_id: '5474'
pubrep_id: '671'
quality_controlled: '1'
related_material:
record:
- id: '2274'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Proofs of space
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9216
year: '2015'
...
---
_id: '1859'
abstract:
- lang: eng
text: "Structural support vector machines (SSVMs) are amongst the best performing
models for structured computer vision tasks, such as semantic image segmentation
or human pose estimation. Training SSVMs, however, is computationally costly,
because it requires repeated calls to a structured prediction subroutine (called
\\emph{max-oracle}), which has to solve an optimization problem itself, e.g. a
graph cut.\r\nIn this work, we introduce a new algorithm for SSVM training that
is more efficient than earlier techniques when the max-oracle is computationally
expensive, as it is frequently the case in computer vision tasks. The main idea
is to (i) combine the recent stochastic Block-Coordinate Frank-Wolfe algorithm
with efficient hyperplane caching, and (ii) use an automatic selection rule for
deciding whether to call the exact max-oracle or to rely on an approximate one
based on the cached hyperplanes.\r\nWe show experimentally that this strategy
leads to faster convergence to the optimum with respect to the number of requires
oracle calls, and that this translates into faster convergence with respect to
the total runtime when the max-oracle is slow compared to the other steps of the
algorithm. "
article_processing_charge: No
arxiv: 1
author:
- first_name: Neel
full_name: Shah, Neel
id: 31ABAF80-F248-11E8-B48F-1D18A9856A87
last_name: Shah
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
citation:
ama: 'Shah N, Kolmogorov V, Lampert C. A multi-plane block-coordinate Frank-Wolfe
algorithm for training structural SVMs with a costly max-oracle. In: IEEE; 2015:2737-2745.
doi:10.1109/CVPR.2015.7298890'
apa: 'Shah, N., Kolmogorov, V., & Lampert, C. (2015). A multi-plane block-coordinate
Frank-Wolfe algorithm for training structural SVMs with a costly max-oracle (pp.
2737–2745). Presented at the CVPR: Computer Vision and Pattern Recognition, Boston,
MA, USA: IEEE. https://doi.org/10.1109/CVPR.2015.7298890'
chicago: Shah, Neel, Vladimir Kolmogorov, and Christoph Lampert. “A Multi-Plane
Block-Coordinate Frank-Wolfe Algorithm for Training Structural SVMs with a Costly
Max-Oracle,” 2737–45. IEEE, 2015. https://doi.org/10.1109/CVPR.2015.7298890.
ieee: 'N. Shah, V. Kolmogorov, and C. Lampert, “A multi-plane block-coordinate Frank-Wolfe
algorithm for training structural SVMs with a costly max-oracle,” presented at
the CVPR: Computer Vision and Pattern Recognition, Boston, MA, USA, 2015, pp.
2737–2745.'
ista: 'Shah N, Kolmogorov V, Lampert C. 2015. A multi-plane block-coordinate Frank-Wolfe
algorithm for training structural SVMs with a costly max-oracle. CVPR: Computer
Vision and Pattern Recognition, 2737–2745.'
mla: Shah, Neel, et al. A Multi-Plane Block-Coordinate Frank-Wolfe Algorithm
for Training Structural SVMs with a Costly Max-Oracle. IEEE, 2015, pp. 2737–45,
doi:10.1109/CVPR.2015.7298890.
short: N. Shah, V. Kolmogorov, C. Lampert, in:, IEEE, 2015, pp. 2737–2745.
conference:
end_date: 2015-06-12
location: Boston, MA, USA
name: 'CVPR: Computer Vision and Pattern Recognition'
start_date: 2015-06-07
corr_author: '1'
date_created: 2018-12-11T11:54:24Z
date_published: 2015-06-01T00:00:00Z
date_updated: 2025-06-11T07:20:12Z
day: '01'
department:
- _id: VlKo
- _id: ChLa
doi: 10.1109/CVPR.2015.7298890
ec_funded: 1
external_id:
arxiv:
- '1408.6804'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1408.6804
month: '06'
oa: 1
oa_version: Preprint
page: 2737 - 2745
project:
- _id: 2532554C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '308036'
name: Lifelong Learning of Visual Scene Understanding
- _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: IEEE
publist_id: '5240'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A multi-plane block-coordinate Frank-Wolfe algorithm for training structural
SVMs with a costly max-oracle
type: conference
user_id: 2DF688A6-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. IEEE Transactions
on Pattern Analysis and Machine Intelligence. 2015;37(5):919-930. doi:10.1109/TPAMI.2014.2363465
apa: Kolmogorov, V. (2015). A new look at reweighted message passing. IEEE Transactions
on Pattern Analysis and Machine Intelligence. IEEE. https://doi.org/10.1109/TPAMI.2014.2363465
chicago: Kolmogorov, Vladimir. “A New Look at Reweighted Message Passing.” IEEE
Transactions on Pattern Analysis and Machine Intelligence. IEEE, 2015. https://doi.org/10.1109/TPAMI.2014.2363465.
ieee: V. Kolmogorov, “A new look at reweighted message passing,” IEEE Transactions
on Pattern Analysis and Machine Intelligence, 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.” IEEE Transactions
on Pattern Analysis and Machine Intelligence, vol. 37, no. 5, IEEE, 2015,
pp. 919–30, doi:10.1109/TPAMI.2014.2363465.
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'
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: '2275'
abstract:
- lang: eng
text: "Energies with high-order non-submodular interactions have been shown to be
very useful in vision due to their high modeling power. Optimization of such energies,
however, is generally NP-hard. A naive approach that works for small problem instances
is exhaustive search, that is, enumeration of all possible labelings of the underlying
graph. We propose a general minimization approach for large graphs based on enumeration
of labelings of certain small patches. \r\nThis partial enumeration technique
reduces complex high-order energy formulations to pairwise Constraint Satisfaction
Problems with unary costs (uCSP), which can be efficiently solved using standard
methods like TRW-S. Our approach outperforms a number of existing state-of-the-art
algorithms on well known difficult problems (e.g. curvature regularization, stereo,
deconvolution); it gives near global minimum and better speed. \r\nOur main application
of interest is curvature regularization. In the context of segmentation, our partial
enumeration technique allows to evaluate curvature directly on small patches using
a novel integral geometry approach.\r\n"
article_processing_charge: No
author:
- first_name: Carl
full_name: Olsson, Carl
last_name: Olsson
- first_name: Johannes
full_name: Ulen, Johannes
last_name: Ulen
- first_name: Yuri
full_name: Boykov, Yuri
last_name: Boykov
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Olsson C, Ulen J, Boykov Y, Kolmogorov V. Partial enumeration and curvature
regularization. In: IEEE; 2014:2936-2943. doi:10.1109/ICCV.2013.365'
apa: 'Olsson, C., Ulen, J., Boykov, Y., & Kolmogorov, V. (2014). Partial enumeration
and curvature regularization (pp. 2936–2943). Presented at the ICCV: International
Conference on Computer Vision, Sydney, Australia: IEEE. https://doi.org/10.1109/ICCV.2013.365'
chicago: Olsson, Carl, Johannes Ulen, Yuri Boykov, and Vladimir Kolmogorov. “Partial
Enumeration and Curvature Regularization,” 2936–43. IEEE, 2014. https://doi.org/10.1109/ICCV.2013.365.
ieee: 'C. Olsson, J. Ulen, Y. Boykov, and V. Kolmogorov, “Partial enumeration and
curvature regularization,” presented at the ICCV: International Conference on
Computer Vision, Sydney, Australia, 2014, pp. 2936–2943.'
ista: 'Olsson C, Ulen J, Boykov Y, Kolmogorov V. 2014. Partial enumeration and curvature
regularization. ICCV: International Conference on Computer Vision, 2936–2943.'
mla: Olsson, Carl, et al. Partial Enumeration and Curvature Regularization.
IEEE, 2014, pp. 2936–43, doi:10.1109/ICCV.2013.365.
short: C. Olsson, J. Ulen, Y. Boykov, V. Kolmogorov, in:, IEEE, 2014, pp. 2936–2943.
conference:
end_date: 2013-12-08
location: Sydney, Australia
name: 'ICCV: International Conference on Computer Vision'
start_date: 2013-12-01
date_created: 2018-12-11T11:56:42Z
date_published: 2014-03-03T00:00:00Z
date_updated: 2025-09-29T14:28:16Z
day: '03'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/ICCV.2013.365
external_id:
isi:
- '000351830500367'
file:
- access_level: open_access
checksum: 4a74b5c92d6dcd2348c2c10ec8dd18bf
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:30Z
date_updated: 2020-07-14T12:45:36Z
file_id: '4754'
file_name: IST-2016-566-v1+1_iccv13_part_enumeration.pdf
file_size: 378601
relation: main_file
file_date_updated: 2020-07-14T12:45:36Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 2936 - 2943
publication_status: published
publisher: IEEE
publist_id: '4669'
pubrep_id: '566'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Partial enumeration and curvature regularization
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2014'
...
---
_id: '7038'
article_processing_charge: No
author:
- first_name: Kristóf
full_name: Huszár, Kristóf
id: 33C26278-F248-11E8-B48F-1D18A9856A87
last_name: Huszár
orcid: 0000-0002-5445-5057
- first_name: Michal
full_name: Rolinek, Michal
id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
last_name: Rolinek
citation:
ama: Huszár K, Rolinek M. Playful Math - An Introduction to Mathematical Games.
IST Austria
apa: Huszár, K., & Rolinek, M. (n.d.). Playful Math - An introduction to
mathematical games. IST Austria.
chicago: Huszár, Kristóf, and Michal Rolinek. Playful Math - An Introduction
to Mathematical Games. IST Austria, n.d.
ieee: K. Huszár and M. Rolinek, Playful Math - An introduction to mathematical
games. IST Austria.
ista: Huszár K, Rolinek M. Playful Math - An introduction to mathematical games,
IST Austria, 5p.
mla: Huszár, Kristóf, and Michal Rolinek. Playful Math - An Introduction to Mathematical
Games. IST Austria.
short: K. Huszár, M. Rolinek, Playful Math - An Introduction to Mathematical Games,
IST Austria, n.d.
corr_author: '1'
date_created: 2019-11-18T15:57:05Z
date_published: 2014-06-30T00:00:00Z
date_updated: 2025-06-26T12:38:53Z
day: '30'
ddc:
- '510'
department:
- _id: VlKo
- _id: UlWa
file:
- access_level: open_access
checksum: 2b94e5e1f4c3fe8ab89b12806276fb09
content_type: application/pdf
creator: dernst
date_created: 2019-11-18T15:57:51Z
date_updated: 2020-07-14T12:47:48Z
file_id: '7039'
file_name: 2014_Playful_Math_Huszar.pdf
file_size: 511233
relation: main_file
file_date_updated: 2020-07-14T12:47:48Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '5'
publication_status: draft
publisher: IST Austria
status: public
title: Playful Math - An introduction to mathematical games
type: working_paper
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
OA_place: repository
OA_type: green
_id: '2270'
abstract:
- lang: eng
text: "Representation languages for coalitional games are a key research area in
algorithmic game theory. There is an inher-\r\nent tradeoff between how general
a language is, allowing it to capture more elaborate games, and how hard
\ it is computationally to optimize and solve such games. One prominent such
\ language is the simple yet expressive\r\nWeighted Graph Games (WGGs) representation
(Deng and Papadimitriou 1994), which maintains knowledge about synergies between
agents in the form of an edge weighted graph. We consider the problem of finding
\ the optimal coalition structure in WGGs. The agents in such games are vertices
in a graph, and the value of a coalition is the sum of the weights of the edges
present between coalition members. The optimal coalition structure is a partition
of the agents to coalitions, that maximizes the sum of utilities obtained by the
coalitions. We show that finding the optimal coalition structure is not
only hard for general graphs, but is also intractable for restricted families
such as planar graphs which are amenable for many other combinatorial problems.
\ We then provide algorithms with constant factor approximations for planar, minorfree
and bounded degree graphs."
article_processing_charge: No
arxiv: 1
author:
- first_name: Yoram
full_name: Bachrach, Yoram
last_name: Bachrach
- first_name: Pushmeet
full_name: Kohli, Pushmeet
last_name: Kohli
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Morteza
full_name: Zadimoghaddam, Morteza
last_name: Zadimoghaddam
citation:
ama: 'Bachrach Y, Kohli P, Kolmogorov V, Zadimoghaddam M. Optimal Coalition Structures
in Cooperative Graph Games. In: AAAI Press; 2013:81-87.'
apa: 'Bachrach, Y., Kohli, P., Kolmogorov, V., & Zadimoghaddam, M. (2013). Optimal
Coalition Structures in Cooperative Graph Games (pp. 81–87). Presented at the
AAAI: Conference on Artificial Intelligence, Bellevue, WA, United States: AAAI
Press.'
chicago: Bachrach, Yoram, Pushmeet Kohli, Vladimir Kolmogorov, and Morteza Zadimoghaddam.
“Optimal Coalition Structures in Cooperative Graph Games,” 81–87. AAAI Press,
2013.
ieee: 'Y. Bachrach, P. Kohli, V. Kolmogorov, and M. Zadimoghaddam, “Optimal Coalition
Structures in Cooperative Graph Games,” presented at the AAAI: Conference on Artificial
Intelligence, Bellevue, WA, United States, 2013, pp. 81–87.'
ista: 'Bachrach Y, Kohli P, Kolmogorov V, Zadimoghaddam M. 2013. Optimal Coalition
Structures in Cooperative Graph Games. AAAI: Conference on Artificial Intelligence,
81–87.'
mla: Bachrach, Yoram, et al. Optimal Coalition Structures in Cooperative Graph
Games. AAAI Press, 2013, pp. 81–87.
short: Y. Bachrach, P. Kohli, V. Kolmogorov, M. Zadimoghaddam, in:, AAAI Press,
2013, pp. 81–87.
conference:
end_date: 2013-07-18
location: Bellevue, WA, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2013-07-14
date_created: 2018-12-11T11:56:41Z
date_published: 2013-12-31T00:00:00Z
date_updated: 2025-07-10T11:52:18Z
day: '31'
department:
- _id: VlKo
external_id:
arxiv:
- '1108.5248'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1108.5248
month: '12'
oa: 1
oa_version: Preprint
page: 81-87
publication_status: published
publisher: AAAI Press
publist_id: '4674'
quality_controlled: '1'
status: public
title: Optimal Coalition Structures in Cooperative Graph Games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2272'
abstract:
- lang: eng
text: "We consider Conditional Random Fields (CRFs) with pattern-based potentials
defined on a chain. In this model the energy of a string (labeling) x1...xn is
the sum of terms over intervals [i,j] where each term is non-zero only if the
substring xi...xj equals a prespecified pattern α. Such CRFs can be naturally
applied to many sequence tagging problems.\r\nWe present efficient algorithms
for the three standard inference tasks in a CRF, namely computing (i) the partition
function, (ii) marginals, and (iii) computing the MAP. Their complexities are
respectively O(nL), O(nLℓmax) and O(nLmin{|D|,log(ℓmax+1)}) where L is the combined
length of input patterns, ℓmax is the maximum length of a pattern, and D is the
input alphabet. This improves on the previous algorithms of (Ye et al., 2009)
whose complexities are respectively O(nL|D|), O(n|Γ|L2ℓ2max) and O(nL|D|), where
|Γ| is the number of input patterns.\r\nIn addition, we give an efficient algorithm
for sampling. Finally, we consider the case of non-positive weights. (Komodakis
& Paragios, 2009) gave an O(nL) algorithm for computing the MAP. We present
a modification that has the same worst-case complexity but can beat it in the
best case. "
alternative_title:
- JMLR
article_processing_charge: No
author:
- first_name: Rustem
full_name: Takhanov, Rustem
id: 2CCAC26C-F248-11E8-B48F-1D18A9856A87
last_name: Takhanov
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Takhanov R, Kolmogorov V. Inference algorithms for pattern-based CRFs on sequence
data. In: ICML’13 Proceedings of the 30th International Conference on International.
Vol 28. ML Research Press; 2013:145-153.'
apa: 'Takhanov, R., & Kolmogorov, V. (2013). Inference algorithms for pattern-based
CRFs on sequence data. In ICML’13 Proceedings of the 30th International Conference
on International (Vol. 28, pp. 145–153). Atlanta, GA, USA: ML Research Press.'
chicago: Takhanov, Rustem, and Vladimir Kolmogorov. “Inference Algorithms for Pattern-Based
CRFs on Sequence Data.” In ICML’13 Proceedings of the 30th International Conference
on International, 28:145–53. ML Research Press, 2013.
ieee: R. Takhanov and V. Kolmogorov, “Inference algorithms for pattern-based CRFs
on sequence data,” in ICML’13 Proceedings of the 30th International Conference
on International, Atlanta, GA, USA, 2013, vol. 28, no. 3, pp. 145–153.
ista: 'Takhanov R, Kolmogorov V. 2013. Inference algorithms for pattern-based CRFs
on sequence data. ICML’13 Proceedings of the 30th International Conference on
International. ICML: International Conference on Machine Learning, JMLR, vol.
28, 145–153.'
mla: Takhanov, Rustem, and Vladimir Kolmogorov. “Inference Algorithms for Pattern-Based
CRFs on Sequence Data.” ICML’13 Proceedings of the 30th International Conference
on International, vol. 28, no. 3, ML Research Press, 2013, pp. 145–53.
short: R. Takhanov, V. Kolmogorov, in:, ICML’13 Proceedings of the 30th International
Conference on International, ML Research Press, 2013, pp. 145–153.
conference:
end_date: 2013-06-21
location: Atlanta, GA, USA
name: 'ICML: International Conference on Machine Learning'
start_date: 2013-06-16
corr_author: '1'
date_created: 2018-12-11T11:56:41Z
date_published: 2013-06-01T00:00:00Z
date_updated: 2025-09-29T14:28:48Z
day: '01'
department:
- _id: VlKo
external_id:
isi:
- '000381149500002'
intvolume: ' 28'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://proceedings.mlr.press/v28/takhanov13.pdf?CFID=105472548&CFTOKEN=5c5859b5d97b4439-27B4AC58-BA92-A964-B598CAACEE6CC515
month: '06'
oa: 1
oa_version: Submitted Version
page: 145 - 153
publication: ICML'13 Proceedings of the 30th International Conference on International
publication_status: published
publisher: ML Research Press
publist_id: '4672'
quality_controlled: '1'
related_material:
record:
- id: '1794'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Inference algorithms for pattern-based CRFs on sequence data
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 28
year: '2013'
...
---
OA_place: repository
_id: '2273'
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 Diusion (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. We present such a generalization
for the case of higher-order graphical models, and test it on several real-world
problems with promising results.
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: Kolmogorov V. Reweighted Message Passing Revisited. IST Austria
apa: Kolmogorov, V. (n.d.). Reweighted message passing revisited. IST Austria.
chicago: Kolmogorov, Vladimir. Reweighted Message Passing Revisited. IST
Austria, n.d.
ieee: V. Kolmogorov, Reweighted message passing revisited. IST Austria.
ista: Kolmogorov V. Reweighted message passing revisited, IST Austria,p.
mla: Kolmogorov, Vladimir. Reweighted Message Passing Revisited. IST Austria.
short: V. Kolmogorov, Reweighted Message Passing Revisited, IST Austria, n.d.
corr_author: '1'
date_created: 2018-12-11T11:56:42Z
date_published: 2013-09-22T00:00:00Z
date_updated: 2025-09-22T14:33:14Z
day: '22'
department:
- _id: VlKo
external_id:
arxiv:
- '1309.5655'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1309.5655
month: '09'
oa: 1
oa_version: Preprint
publication_status: draft
publisher: IST Austria
publist_id: '4671'
related_material:
record:
- id: '1841'
relation: later_version
status: public
status: public
title: Reweighted message passing revisited
type: report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2274'
abstract:
- lang: eng
text: "Proofs of work (PoW) have been suggested by Dwork and Naor (Crypto'92) as
protection to a shared resource. The basic idea is to ask the service requestor
to dedicate some non-trivial amount of computational work to every request. The
original applications included prevention of spam and protection against denial
of service attacks. More recently, PoWs have been used to prevent double spending
in the Bitcoin digital currency system.\r\n\r\nIn this work, we put forward an
alternative concept for PoWs -- so-called proofs of space (PoS), where a service
requestor must dedicate a significant amount of disk space as opposed to computation.
We construct secure PoS schemes in the random oracle model, using graphs with
high "pebbling complexity" and Merkle hash-trees. "
author:
- first_name: Stefan
full_name: Dziembowski, Stefan
last_name: Dziembowski
- first_name: Sebastian
full_name: Faust, Sebastian
last_name: Faust
- 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
citation:
ama: Dziembowski S, Faust S, Kolmogorov V, Pietrzak KZ. Proofs of Space.
IST Austria; 2013.
apa: Dziembowski, S., Faust, S., Kolmogorov, V., & Pietrzak, K. Z. (2013). Proofs
of Space. IST Austria.
chicago: Dziembowski, Stefan, Sebastian Faust, Vladimir Kolmogorov, and Krzysztof
Z Pietrzak. Proofs of Space. IST Austria, 2013.
ieee: S. Dziembowski, S. Faust, V. Kolmogorov, and K. Z. Pietrzak, Proofs of
Space. IST Austria, 2013.
ista: Dziembowski S, Faust S, Kolmogorov V, Pietrzak KZ. 2013. Proofs of Space,
IST Austria,p.
mla: Dziembowski, Stefan, et al. Proofs of Space. IST Austria, 2013.
short: S. Dziembowski, S. Faust, V. Kolmogorov, K.Z. Pietrzak, Proofs of Space,
IST Austria, 2013.
date_created: 2018-12-11T11:56:42Z
date_published: 2013-11-28T00:00:00Z
date_updated: 2025-09-23T09:55:25Z
day: '28'
ddc:
- '530'
department:
- _id: VlKo
- _id: KrPi
file:
- access_level: open_access
checksum: 37b61637b62fc079d9141c59d9f1a94f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:11Z
date_updated: 2020-07-14T12:45:36Z
file_id: '5197'
file_name: IST-2016-671-v1+1_796.pdf
file_size: 405870
relation: main_file
file_date_updated: 2020-07-14T12:45:36Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication_status: published
publisher: IST Austria
publist_id: '4670'
pubrep_id: '671'
related_material:
record:
- id: '1675'
relation: later_version
status: public
scopus_import: 1
status: public
title: Proofs of Space
type: report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2276'
abstract:
- lang: eng
text: The problem of minimizing the Potts energy function frequently occurs in computer
vision applications. One way to tackle this NP-hard problem was proposed by Kovtun
[19, 20]. It identifies a part of an optimal solution by running k maxflow computations,
where k is the number of labels. The number of “labeled” pixels can be significant
in some applications, e.g. 50-93% in our tests for stereo. We show how to reduce
the runtime to O (log k) maxflow computations (or one parametric maxflow computation).
Furthermore, the output of our algorithm allows to speed-up the subsequent alpha
expansion for the unlabeled part, or can be used as it is for time-critical applications.
To derive our technique, we generalize the algorithm of Felzenszwalb et al. [7]
for Tree Metrics . We also show a connection to k-submodular functions from combinatorial
optimization, and discuss k-submodular relaxations for general energy functions.
article_processing_charge: No
arxiv: 1
author:
- first_name: Igor
full_name: Gridchyn, Igor
id: 4B60654C-F248-11E8-B48F-1D18A9856A87
last_name: Gridchyn
orcid: 0000-0002-1807-1929
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Gridchyn I, Kolmogorov V. Potts model, parametric maxflow and k-submodular
functions. In: IEEE; 2013:2320-2327. doi:10.1109/ICCV.2013.288'
apa: 'Gridchyn, I., & Kolmogorov, V. (2013). Potts model, parametric maxflow
and k-submodular functions (pp. 2320–2327). Presented at the ICCV: International
Conference on Computer Vision, Sydney, Australia: IEEE. https://doi.org/10.1109/ICCV.2013.288'
chicago: Gridchyn, Igor, and Vladimir Kolmogorov. “Potts Model, Parametric Maxflow
and k-Submodular Functions,” 2320–27. IEEE, 2013. https://doi.org/10.1109/ICCV.2013.288.
ieee: 'I. Gridchyn and V. Kolmogorov, “Potts model, parametric maxflow and k-submodular
functions,” presented at the ICCV: International Conference on Computer Vision,
Sydney, Australia, 2013, pp. 2320–2327.'
ista: 'Gridchyn I, Kolmogorov V. 2013. Potts model, parametric maxflow and k-submodular
functions. ICCV: International Conference on Computer Vision, 2320–2327.'
mla: Gridchyn, Igor, and Vladimir Kolmogorov. Potts Model, Parametric Maxflow
and k-Submodular Functions. IEEE, 2013, pp. 2320–27, doi:10.1109/ICCV.2013.288.
short: I. Gridchyn, V. Kolmogorov, in:, IEEE, 2013, pp. 2320–2327.
conference:
end_date: 2013-12-08
location: Sydney, Australia
name: 'ICCV: International Conference on Computer Vision'
start_date: 2013-12-01
corr_author: '1'
date_created: 2018-12-11T11:56:43Z
date_published: 2013-12-01T00:00:00Z
date_updated: 2025-09-29T14:27:49Z
day: '01'
department:
- _id: JoCs
- _id: VlKo
doi: 10.1109/ICCV.2013.288
external_id:
arxiv:
- '1310.1771'
isi:
- '000351830500290'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1310.1771
month: '12'
oa: 1
oa_version: Preprint
page: 2320 - 2327
publication_status: published
publisher: IEEE
publist_id: '4668'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Potts model, parametric maxflow and k-submodular functions
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2013'
...
---
_id: '2518'
abstract:
- lang: eng
text: A class of valued constraint satisfaction problems (VCSPs) is characterised
by a valued constraint language, a fixed set of cost functions on a finite domain.
An instance of the problem is specified by a sum of cost functions from the language
with the goal to minimise the sum. We study which classes of finite-valued languages
can be solved exactly by the basic linear programming relaxation (BLP). Thapper
and Živný showed [20] that if BLP solves the language then the language admits
a binary commutative fractional polymorphism. We prove that the converse is also
true. This leads to a necessary and a sufficient condition which can be checked
in polynomial time for a given language. In contrast, the previous necessary and
sufficient condition due to [20] involved infinitely many inequalities. More recently,
Thapper and Živný [21] showed (using, in particular, a technique introduced in
this paper) that core languages that do not satisfy our condition are NP-hard.
Taken together, these results imply that a finite-valued language can either be
solved using Linear Programming or is NP-hard.
alternative_title:
- LNCS
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Kolmogorov V. The power of linear programming for finite-valued CSPs: A constructive
characterization. In: Vol 7965. Springer; 2013:625-636. doi:10.1007/978-3-642-39206-1_53'
apa: 'Kolmogorov, V. (2013). The power of linear programming for finite-valued CSPs:
A constructive characterization (Vol. 7965, pp. 625–636). Presented at the ICALP:
Automata, Languages and Programming, Riga, Latvia: Springer. https://doi.org/10.1007/978-3-642-39206-1_53'
chicago: 'Kolmogorov, Vladimir. “The Power of Linear Programming for Finite-Valued
CSPs: A Constructive Characterization,” 7965:625–36. Springer, 2013. https://doi.org/10.1007/978-3-642-39206-1_53.'
ieee: 'V. Kolmogorov, “The power of linear programming for finite-valued CSPs: A
constructive characterization,” presented at the ICALP: Automata, Languages and
Programming, Riga, Latvia, 2013, vol. 7965, no. 1, pp. 625–636.'
ista: 'Kolmogorov V. 2013. The power of linear programming for finite-valued CSPs:
A constructive characterization. ICALP: Automata, Languages and Programming, LNCS,
vol. 7965, 625–636.'
mla: 'Kolmogorov, Vladimir. The Power of Linear Programming for Finite-Valued
CSPs: A Constructive Characterization. Vol. 7965, no. 1, Springer, 2013, pp.
625–36, doi:10.1007/978-3-642-39206-1_53.'
short: V. Kolmogorov, in:, Springer, 2013, pp. 625–636.
conference:
end_date: 2013-07-12
location: Riga, Latvia
name: 'ICALP: Automata, Languages and Programming'
start_date: 2013-07-08
corr_author: '1'
date_created: 2018-12-11T11:58:08Z
date_published: 2013-07-01T00:00:00Z
date_updated: 2025-09-23T14:14:56Z
day: '01'
department:
- _id: VlKo
doi: 10.1007/978-3-642-39206-1_53
external_id:
arxiv:
- '1207.7213'
intvolume: ' 7965'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.7213
month: '07'
oa: 1
oa_version: Preprint
page: 625 - 636
publication_status: published
publisher: Springer
publist_id: '4383'
quality_controlled: '1'
related_material:
record:
- id: '2271'
relation: later_version
status: public
scopus_import: 1
status: public
title: 'The power of linear programming for finite-valued CSPs: A constructive characterization'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7965
year: '2013'
...
---
_id: '2828'
abstract:
- lang: eng
text: 'We study the complexity of valued constraint satisfaction problems (VCSPs)
parametrized by a constraint language, a fixed set of cost functions over a finite
domain. An instance of the problem is specified by a sum of cost functions from
the language and the goal is to minimize the sum. Under the unique games conjecture,
the approximability of finite-valued VCSPs is well understood, see Raghavendra
[2008]. However, there is no characterization of finite-valued VCSPs, let alone
general-valued VCSPs, that can be solved exactly in polynomial time, thus giving
insights from a combinatorial optimization perspective. We consider the case of
languages containing all possible unary cost functions. In the case of languages
consisting of only {0, ∞}-valued cost functions (i.e., relations), such languages
have been called conservative and studied by Bulatov [2003, 2011] and recently
by Barto [2011]. Since we study valued languages, we call a language conservative
if it contains all finite-valued unary cost functions. The computational complexity
of conservative valued languages has been studied by Cohen et al. [2006] for languages
over Boolean domains, by Deineko et al. [2008] for {0, 1}-valued languages (a.k.a
Max-CSP), and by Takhanov [2010a] for {0, ∞}-valued languages containing all finite-valued
unary cost functions (a.k.a. Min-Cost-Hom). We prove a Schaefer-like dichotomy
theorem for conservative valued languages: if all cost functions in the language
satisfy a certain condition (specified by a complementary combination of STP and
MJN multimor-phisms), then any instance can be solved in polynomial time (via
a new algorithm developed in this article), otherwise the language is NP-hard.
This is the first complete complexity classification of general-valued constraint
languages over non-Boolean domains. It is a common phenomenon that complexity
classifications of problems over non-Boolean domains are significantly harder
than the Boolean cases. The polynomial-time algorithm we present for the tractable
cases is a generalization of the submodular minimization problem and a result
of Cohen et al. [2008]. Our results generalize previous results by Takhanov [2010a]
and (a subset of results) by Cohen et al. [2006] and Deineko et al. [2008]. Moreover,
our results do not rely on any computer-assisted search as in Deineko et al. [2008],
and provide a powerful tool for proving hardness of finite-valued and general-valued
languages.'
article_number: '10'
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Stanislav
full_name: Živný, Stanislav
last_name: Živný
citation:
ama: Kolmogorov V, Živný S. The complexity of conservative valued CSPs. Journal
of the ACM. 2013;60(2). doi:10.1145/2450142.2450146
apa: Kolmogorov, V., & Živný, S. (2013). The complexity of conservative valued
CSPs. Journal of the ACM. ACM. https://doi.org/10.1145/2450142.2450146
chicago: Kolmogorov, Vladimir, and Stanislav Živný. “The Complexity of Conservative
Valued CSPs.” Journal of the ACM. ACM, 2013. https://doi.org/10.1145/2450142.2450146.
ieee: V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,”
Journal of the ACM, vol. 60, no. 2. ACM, 2013.
ista: Kolmogorov V, Živný S. 2013. The complexity of conservative valued CSPs. Journal
of the ACM. 60(2), 10.
mla: Kolmogorov, Vladimir, and Stanislav Živný. “The Complexity of Conservative
Valued CSPs.” Journal of the ACM, vol. 60, no. 2, 10, ACM, 2013, doi:10.1145/2450142.2450146.
short: V. Kolmogorov, S. Živný, Journal of the ACM 60 (2013).
date_created: 2018-12-11T11:59:48Z
date_published: 2013-04-02T00:00:00Z
date_updated: 2025-09-29T13:52:07Z
day: '02'
department:
- _id: VlKo
doi: 10.1145/2450142.2450146
external_id:
arxiv:
- '1110.2809'
isi:
- '000318628500004'
intvolume: ' 60'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1110.2809
month: '04'
oa: 1
oa_version: Preprint
publication: Journal of the ACM
publication_status: published
publisher: ACM
publist_id: '3971'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of conservative valued CSPs
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 60
year: '2013'
...