Vladimir Kolmogorov
Kolmogorov Group
96 Publications
2025 | Published | Journal Article | IST-REx-ID: 18855 |

D. G. Harris and V. Kolmogorov, “Parameter estimation for Gibbs distributions,” ACM Transactions on Algorithms, vol. 21, no. 1. Association for Computing Machinery, 2025.
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| arXiv
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 10045 |

M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and discrete convexity,” Mathematical Programming. Springer Nature, 2024.
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| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 17236 |

V. Kolmogorov, “A simpler and parallelizable O(√log n)-approximation algorithm for sparsest cut,” in Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures, Nantes, France, 2024, pp. 403–414.
[Published Version]
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| arXiv
2023 | Published | Conference Paper | IST-REx-ID: 14448 |

V. Kolmogorov, “Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions,” in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Vancouver, Canada, 2023, vol. 2023, pp. 11980–11989.
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| arXiv
2023 | Published | Conference Paper | IST-REx-ID: 14084 |

D. G. Harris and V. Kolmogorov, “Parameter estimation for Gibbs distributions,” in 50th International Colloquium on Automata, Languages, and Programming, Paderborn, Germany, 2023, vol. 261.
[Published Version]
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| DOI
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 10737 |

R. Takhanov and V. Kolmogorov, “Combining pattern-based CRFs and weighted context-free grammars,” Intelligent Data Analysis, vol. 26, no. 1. IOS Press, pp. 257–272, 2022.
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| arXiv
2021 | Published | Conference Paper | IST-REx-ID: 10072 |

D. G. Harris, F. Iliopoulos, and V. Kolmogorov, “A new notion of commutativity for the algorithmic Lovász Local Lemma,” in Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, Virtual, 2021, vol. 207.
[Published Version]
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| DOI
| arXiv
2021 | Published | Conference Paper | IST-REx-ID: 10552 |

V. Kolmogorov and T. Pock, “One-sided Frank-Wolfe algorithms for saddle problems,” in 38th International Conference on Machine Learning, Virtual, 2021.
[Preprint]
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| arXiv
2019 | Published | Journal Article | IST-REx-ID: 7412 |

D. Achlioptas, F. Iliopoulos, and V. Kolmogorov, “A local lemma for focused stochastical algorithms,” SIAM Journal on Computing, vol. 48, no. 5. SIAM, pp. 1583–1602, 2019.
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| arXiv
2019 | Published | Conference Paper | IST-REx-ID: 7468 |

P. Swoboda and V. Kolmogorov, “Map inference via block-coordinate Frank-Wolfe algorithm,” in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Long Beach, CA, United States, 2019, vol. 2019–June.
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| arXiv
2019 | Published | Conference Paper | IST-REx-ID: 6725 |

V. Kolmogorov, “Testing the complexity of a valued CSP language,” in 46th International Colloquium on Automata, Languages and Programming, Patras, Greece, 2019, vol. 132, p. 77:1-77:12.
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| arXiv
2018 | Published | Journal Article | IST-REx-ID: 18 |

V. Kolmogorov and M. Rolinek, “Superconcentrators of density 25.3,” Ars Combinatoria, vol. 141, no. 10. Charles Babbage Research Centre, pp. 269–304, 2018.
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| arXiv
2018 | Published | Conference Paper | IST-REx-ID: 273 |

P. Mohapatra, M. Rolinek, C. V. Jawahar, V. Kolmogorov, and M. P. Kumar, “Efficient optimization for rank-based loss functions,” in 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, Salt Lake City, UT, USA, 2018, pp. 3693–3701.
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2018 | Published | Journal Article | IST-REx-ID: 5975 |

V. Kolmogorov, “Commutativity in the algorithmic Lovász local lemma,” SIAM Journal on Computing, vol. 47, no. 6. Society for Industrial & Applied Mathematics (SIAM), pp. 2029–2056, 2018.
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2018 | Published | Journal Article | IST-REx-ID: 6032 |

A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity of planar boolean CSPs,” ACM Transactions on Algorithms, vol. 15, no. 2. ACM, 2018.
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| arXiv
2017 | Published | Journal Article | IST-REx-ID: 644 |

V. Kolmogorov, A. Krokhin, and M. Rolinek, “The complexity of general-valued CSPs,” SIAM Journal on Computing, vol. 46, no. 3. SIAM, pp. 1087–1110, 2017.
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2017 | Published | Conference Paper | IST-REx-ID: 1192 |

A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity of planar Boolean CSPs,” presented at the SODA: Symposium on Discrete Algorithms, Barcelona, Spain, 2017, pp. 307–326.
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2017 | Published | Conference Paper | IST-REx-ID: 274 |

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.
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2016 | Published | Journal Article | IST-REx-ID: 1377 |

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.
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2016 | Published | Conference Paper | IST-REx-ID: 1193 |

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.
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2016 | Published | Journal Article | IST-REx-ID: 1794 |

V. Kolmogorov and R. Takhanov, “Inference algorithms for pattern-based CRFs on sequence data,” Algorithmica, vol. 76, no. 1. Springer, pp. 17–46, 2016.
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2016 | Published | Conference Paper | IST-REx-ID: 1231 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1637 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1675 |

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.
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2015 | Published | Journal Article | IST-REx-ID: 2271 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1636 |

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.
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2015 | Published | Journal Article | IST-REx-ID: 1841 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1859 |

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.
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2014 | Published | Conference Paper | IST-REx-ID: 2275 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2270 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2272 |

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.
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2013 | Published | Report | IST-REx-ID: 2273 |

V. Kolmogorov, Reweighted message passing revisited. IST Austria, 2013.
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2013 | Published | Report | IST-REx-ID: 2274 |

S. Dziembowski, S. Faust, V. Kolmogorov, and K. Z. Pietrzak, Proofs of Space. IST Austria, 2013.
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2013 | Published | Conference Paper | IST-REx-ID: 2276 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2518 |

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.
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2013 | Published | Journal Article | IST-REx-ID: 2828 |

V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,” Journal of the ACM, vol. 60, no. 2. ACM, 2013.
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2013 | Published | Conference Paper | IST-REx-ID: 2901 |

C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, and C. Lampert, “Computing the M most probable modes of a graphical model,” presented at the AISTATS: Conference on Uncertainty in Artificial Intelligence, Scottsdale, AZ, United States, 2013, vol. 31, pp. 161–169.
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2012 | Published | Journal Article | IST-REx-ID: 3257 |

V. Kolmogorov, “Generalized roof duality and bisubmodular functions,” Discrete Applied Mathematics, vol. 160, no. 4–5. Elsevier, pp. 416–426, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 3284 |

V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,” presented at the SODA: Symposium on Discrete Algorithms, 2012, pp. 750–759.
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2012 | Published | Preprint | IST-REx-ID: 2928 |

V. Kolmogorov and T. Schoenemann, “Generalized sequential tree-reweighted message passing,” arXiv. ArXiv, 2012.
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| arXiv
2012 | Published | Report | IST-REx-ID: 2929 |

V. Kolmogorov, The power of linear programming for valued CSPs: a constructive characterization. Unknown, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 2930 |

A. Huber and V. Kolmogorov, “Towards minimizing k-submodular functions,” presented at the ISCO: International Symposium on Combinatorial Optimization, Athens, Greece, 2012, vol. 7422, pp. 451–462.
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2012 | Published | Journal Article | IST-REx-ID: 3117 |

V. Kolmogorov, “Minimizing a sum of submodular functions,” Discrete Applied Mathematics, vol. 160, no. 15. Elsevier, pp. 2246–2258, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 3124 |

F. Korc, V. Kolmogorov, and C. Lampert, “Approximating marginals using discrete energy minimization,” presented at the ICML: International Conference on Machine Learning, Edinburgh, Scotland, 2012.
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2012 | Published | Technical Report | IST-REx-ID: 5396 |

F. Korc, V. Kolmogorov, and C. Lampert, Approximating marginals using discrete energy minimization. IST Austria, 2012.
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2011 | Published | Conference Paper | IST-REx-ID: 3204
V. Kolmogorov, “Submodularity on a tree: Unifying Submodularity on a tree: Unifying L-convex and bisubmodular functions convex and bisubmodular functions,” presented at the MFCS: Mathematical Foundations of Computer Science, 2011, vol. 6907, pp. 400–411.
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2011 | Published | Conference Paper | IST-REx-ID: 3205
D. Tarlow, D. Batra, P. Kohli, and V. Kolmogorov, “Dynamic tree block coordinate ascent,” presented at the ICML: International Conference on Machine Learning, 2011, pp. 113–120.
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2011 | Published | Conference Paper | IST-REx-ID: 3206
A. Osokin, D. Vetrov, and V. Kolmogorov, “Submodular decomposition framework for inference in associative Markov networks with global constraints,” presented at the CVPR: Computer Vision and Pattern Recognition, 2011, pp. 1889–1896.
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2011 | Published | Book Chapter | IST-REx-ID: 2922
S. Vicente, V. Kolmogorov, and C. Rother, “Graph-cut Based Image Segmentation with Connectivity Priors,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2923
M. P. Kumar, V. Kolmogorov, and P. Torr, “Analyzing Convex Relaxations for MAP Estimation,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2924
A. Criminisi, G. Cross, A. Blake, and V. Kolmogorov, “Bilayer Segmentation of Video,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2925
C. Rother, V. Kolmogorov, Y. Boykov, and A. Blake, “Interactive Foreground Extraction using graph cut,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2935
Y. Boykov and V. Kolmogorov, “Basic graph cut algorithms,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011, pp. 31–50.
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2010 | Published | Conference Paper | IST-REx-ID: 3201
S. Vicente, V. Kolmogorov, and C. Rother, “Cosegmentation revisited: Models and optimization,” presented at the ECCV: European Conference on Computer Vision, 2010, vol. 6312, pp. 465–479.
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2010 | Published | Conference Paper | IST-REx-ID: 2934
V. Kolmogorov, “Generalized roof duality and bisubmodular functions,” presented at the Neural Information Processing Systems, 2010.
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2009 | Published | Journal Article | IST-REx-ID: 3197 |

M. P. Kumar, V. Kolmogorov, and P. Torr, “An analysis of convex relaxations for MAP estimation of discrete MRFs,” Journal of Machine Learning Research, vol. 10. Microtome Publishing, pp. 71–106, 2009.
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2009 | Published | Conference Paper | IST-REx-ID: 3199
S. Vicente, V. Kolmogorov, and C. Rother, “Joint optimization of segmentation and appearance models,” presented at the ICCV: International Conference on Computer Vision, 2009, pp. 755–762.
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2008 | Published | Conference Paper | IST-REx-ID: 3194
P. Kohli, A. Shekhovtsov, C. Rother, V. Kolmogorov, and P. Torr, “On partial optimality in multi label MRFs,” presented at the ICML: International Conference on Machine Learning, 2008, pp. 480–487.
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2008 | Published | Conference Paper | IST-REx-ID: 3195
S. Vicente, V. Kolmogorov, and C. Rother, “Graph cut based image segmentation with connectivity priors,” presented at the CVPR: Computer Vision and Pattern Recognition, 2008.
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2008 | Published | Conference Paper | IST-REx-ID: 3198
L. Torresani, V. Kolmogorov, and C. Rother, “Feature correspondence via graph matching: Models and global optimization,” presented at the ECCV: European Conference on Computer Vision, 2008, vol. 5303, pp. 596–609.
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2007 | Published | Journal Article | IST-REx-ID: 3187
A. Blake, A. Criminisi, G. Cross, V. Kolmogorov, and C. Rother, “Fusion of stereo colour and contrast,” Springer Tracts in Advanced Robotics, vol. 28. Springer, pp. 295–304, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 3191
V. Kolmogorov, Y. Boykov, and C. Rother, “Applications of parametric maxflow in computer vision,” presented at the ICCV: International Conference on Computer Vision, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 3192
C. Rother, V. Kolmogorov, V. Lempitsky, and M. Szummer, “Optimizing binary MRFs via extended roof duality,” presented at the CVPR: Computer Vision and Pattern Recognition, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 2933
M. P. Kumar, V. Kolmogorov, and P. Torr, “An Analysis of Convex Relaxations for MAP Estimation,” presented at the Neural Information Processing Systems, 2007.
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2006 | Published | Conference Paper | IST-REx-ID: 3180
R. Szeliski et al., “A comparative study of energy minimization methods for Markov random fields,” presented at the ECCV: European Conference on Computer Vision, 2006, vol. 3952, pp. 16–29.
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2006 | Published | Conference Paper | IST-REx-ID: 3184
V. Kolmogorov and C. Rother, “Comparison of energy minimization algorithms for highly connected graphs,” presented at the ECCV: European Conference on Computer Vision, 2006, vol. 3952 LNCS, pp. 1–15.
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2006 | Published | Journal Article | IST-REx-ID: 3185
V. Kolmogorov, A. Criminisi, A. Blake, G. Cross, and C. Rother, “Probabilistic fusion of stereo with color and contrast for bilayer segmentation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 9. IEEE, pp. 1480–1492, 2006.
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2006 | Published | Conference Paper | IST-REx-ID: 3188
C. Rother, V. Kolmogorov, T. Minka, and A. Blake, “Cosegmentation of image pairs by histogram matching - Incorporating a global constraint into MRFs,” presented at the CVPR: Computer Vision and Pattern Recognition, 2006, pp. 993–1000.
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2006 | Published | Conference Paper | IST-REx-ID: 3189
A. Criminisi, G. Cross, A. Blake, and V. Kolmogorov, “Bilayer segmentation of live video,” presented at the CVPR: Computer Vision and Pattern Recognition, 2006, vol. 1, pp. 53–60.
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2006 | Published | Journal Article | IST-REx-ID: 3190
V. Kolmogorov, “Convergent tree reweighted message passing for energy minimization,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 10. IEEE, pp. 1568–1583, 2006.
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2005 | Published | Conference Paper | IST-REx-ID: 3175
C. Rother, S. Kumar, V. Kolmogorov, and A. Blake, “Digital tapestry,” presented at the CVPR: Computer Vision and Pattern Recognition, 2005, vol. 1, pp. 589–596.
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2005 | Published | Conference Paper | IST-REx-ID: 3181
V. Kolmogorov and M. Wainwright, “On the optimality of tree reweighted max product message passing,” presented at the UAI: Uncertainty in Artificial Intelligence, 2005, pp. 316–323.
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2005 | Published | Conference Paper | IST-REx-ID: 3183
V. Kolmogorov, A. Criminisi, A. Blake, G. Cross, and C. Rother, “Bi-layer segmentation of binocular stereo video,” presented at the CVPR: Computer Vision and Pattern Recognition, 2005, vol. 2, pp. 407–414.
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2004 | Published | Conference Paper | IST-REx-ID: 3179
C. Rother, V. Kolmogorov, and A. Blake, “"GrabCut" - Interactive foreground extraction using iterated graph cuts ,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, 2004, vol. 23, no. 3, pp. 309–314.
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2003 | Published | Conference Paper | IST-REx-ID: 3171
V. Kolmogorov, R. Zabih, and S. Gortler, “Generalized multi camera scene reconstruction using graph cuts,” presented at the EMMCVPR: Energy Minimization Methods in Computer Vision and Pattern Recognition, 2003, vol. 2683, pp. 501–516.
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2 Grants
Discrete Optimization in Computer Vision: Theory and Practice (DOiCV)
2014-06-01 – 2020-11-30
European Research Council
2020-03-01 – 2024-02-28
Austrian Science Fund
96 Publications
2025 | Published | Journal Article | IST-REx-ID: 18855 |

D. G. Harris and V. Kolmogorov, “Parameter estimation for Gibbs distributions,” ACM Transactions on Algorithms, vol. 21, no. 1. Association for Computing Machinery, 2025.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 10045 |

M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and discrete convexity,” Mathematical Programming. Springer Nature, 2024.
[Published Version]
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| Files available
| DOI
| Download Published Version (ext.)
| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 17236 |

V. Kolmogorov, “A simpler and parallelizable O(√log n)-approximation algorithm for sparsest cut,” in Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures, Nantes, France, 2024, pp. 403–414.
[Published Version]
View
| Files available
| DOI
| arXiv
2023 | Published | Conference Paper | IST-REx-ID: 14448 |

V. Kolmogorov, “Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions,” in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Vancouver, Canada, 2023, vol. 2023, pp. 11980–11989.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2023 | Published | Conference Paper | IST-REx-ID: 14084 |

D. G. Harris and V. Kolmogorov, “Parameter estimation for Gibbs distributions,” in 50th International Colloquium on Automata, Languages, and Programming, Paderborn, Germany, 2023, vol. 261.
[Published Version]
View
| Files available
| DOI
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 10737 |

R. Takhanov and V. Kolmogorov, “Combining pattern-based CRFs and weighted context-free grammars,” Intelligent Data Analysis, vol. 26, no. 1. IOS Press, pp. 257–272, 2022.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Conference Paper | IST-REx-ID: 10072 |

D. G. Harris, F. Iliopoulos, and V. Kolmogorov, “A new notion of commutativity for the algorithmic Lovász Local Lemma,” in Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, Virtual, 2021, vol. 207.
[Published Version]
View
| Files available
| DOI
| arXiv
2021 | Published | Conference Paper | IST-REx-ID: 10552 |

V. Kolmogorov and T. Pock, “One-sided Frank-Wolfe algorithms for saddle problems,” in 38th International Conference on Machine Learning, Virtual, 2021.
[Preprint]
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| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 7412 |

D. Achlioptas, F. Iliopoulos, and V. Kolmogorov, “A local lemma for focused stochastical algorithms,” SIAM Journal on Computing, vol. 48, no. 5. SIAM, pp. 1583–1602, 2019.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Published | Conference Paper | IST-REx-ID: 7468 |

P. Swoboda and V. Kolmogorov, “Map inference via block-coordinate Frank-Wolfe algorithm,” in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Long Beach, CA, United States, 2019, vol. 2019–June.
[Preprint]
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2019 | Published | Conference Paper | IST-REx-ID: 6725 |

V. Kolmogorov, “Testing the complexity of a valued CSP language,” in 46th International Colloquium on Automata, Languages and Programming, Patras, Greece, 2019, vol. 132, p. 77:1-77:12.
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2018 | Published | Journal Article | IST-REx-ID: 18 |

V. Kolmogorov and M. Rolinek, “Superconcentrators of density 25.3,” Ars Combinatoria, vol. 141, no. 10. Charles Babbage Research Centre, pp. 269–304, 2018.
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2018 | Published | Conference Paper | IST-REx-ID: 273 |

P. Mohapatra, M. Rolinek, C. V. Jawahar, V. Kolmogorov, and M. P. Kumar, “Efficient optimization for rank-based loss functions,” in 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, Salt Lake City, UT, USA, 2018, pp. 3693–3701.
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2018 | Published | Journal Article | IST-REx-ID: 5975 |

V. Kolmogorov, “Commutativity in the algorithmic Lovász local lemma,” SIAM Journal on Computing, vol. 47, no. 6. Society for Industrial & Applied Mathematics (SIAM), pp. 2029–2056, 2018.
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2018 | Published | Journal Article | IST-REx-ID: 6032 |

A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity of planar boolean CSPs,” ACM Transactions on Algorithms, vol. 15, no. 2. ACM, 2018.
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2017 | Published | Journal Article | IST-REx-ID: 644 |

V. Kolmogorov, A. Krokhin, and M. Rolinek, “The complexity of general-valued CSPs,” SIAM Journal on Computing, vol. 46, no. 3. SIAM, pp. 1087–1110, 2017.
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2017 | Published | Conference Paper | IST-REx-ID: 1192 |

A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity of planar Boolean CSPs,” presented at the SODA: Symposium on Discrete Algorithms, Barcelona, Spain, 2017, pp. 307–326.
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2017 | Published | Conference Paper | IST-REx-ID: 274 |

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.
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2016 | Published | Journal Article | IST-REx-ID: 1377 |

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.
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2016 | Published | Conference Paper | IST-REx-ID: 1193 |

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.
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2016 | Published | Journal Article | IST-REx-ID: 1794 |

V. Kolmogorov and R. Takhanov, “Inference algorithms for pattern-based CRFs on sequence data,” Algorithmica, vol. 76, no. 1. Springer, pp. 17–46, 2016.
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2016 | Published | Conference Paper | IST-REx-ID: 1231 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1637 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1675 |

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.
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2015 | Published | Journal Article | IST-REx-ID: 2271 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1636 |

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.
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2015 | Published | Journal Article | IST-REx-ID: 1841 |

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.
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2015 | Published | Conference Paper | IST-REx-ID: 1859 |

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.
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2014 | Published | Conference Paper | IST-REx-ID: 2275 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2270 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2272 |

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.
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2013 | Published | Report | IST-REx-ID: 2273 |

V. Kolmogorov, Reweighted message passing revisited. IST Austria, 2013.
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2013 | Published | Report | IST-REx-ID: 2274 |

S. Dziembowski, S. Faust, V. Kolmogorov, and K. Z. Pietrzak, Proofs of Space. IST Austria, 2013.
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2013 | Published | Conference Paper | IST-REx-ID: 2276 |

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.
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2013 | Published | Conference Paper | IST-REx-ID: 2518 |

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.
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2013 | Published | Journal Article | IST-REx-ID: 2828 |

V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,” Journal of the ACM, vol. 60, no. 2. ACM, 2013.
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2013 | Published | Conference Paper | IST-REx-ID: 2901 |

C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, and C. Lampert, “Computing the M most probable modes of a graphical model,” presented at the AISTATS: Conference on Uncertainty in Artificial Intelligence, Scottsdale, AZ, United States, 2013, vol. 31, pp. 161–169.
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2012 | Published | Journal Article | IST-REx-ID: 3257 |

V. Kolmogorov, “Generalized roof duality and bisubmodular functions,” Discrete Applied Mathematics, vol. 160, no. 4–5. Elsevier, pp. 416–426, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 3284 |

V. Kolmogorov and S. Živný, “The complexity of conservative valued CSPs,” presented at the SODA: Symposium on Discrete Algorithms, 2012, pp. 750–759.
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2012 | Published | Preprint | IST-REx-ID: 2928 |

V. Kolmogorov and T. Schoenemann, “Generalized sequential tree-reweighted message passing,” arXiv. ArXiv, 2012.
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2012 | Published | Report | IST-REx-ID: 2929 |

V. Kolmogorov, The power of linear programming for valued CSPs: a constructive characterization. Unknown, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 2930 |

A. Huber and V. Kolmogorov, “Towards minimizing k-submodular functions,” presented at the ISCO: International Symposium on Combinatorial Optimization, Athens, Greece, 2012, vol. 7422, pp. 451–462.
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2012 | Published | Journal Article | IST-REx-ID: 3117 |

V. Kolmogorov, “Minimizing a sum of submodular functions,” Discrete Applied Mathematics, vol. 160, no. 15. Elsevier, pp. 2246–2258, 2012.
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2012 | Published | Conference Paper | IST-REx-ID: 3124 |

F. Korc, V. Kolmogorov, and C. Lampert, “Approximating marginals using discrete energy minimization,” presented at the ICML: International Conference on Machine Learning, Edinburgh, Scotland, 2012.
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2012 | Published | Technical Report | IST-REx-ID: 5396 |

F. Korc, V. Kolmogorov, and C. Lampert, Approximating marginals using discrete energy minimization. IST Austria, 2012.
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2011 | Published | Conference Paper | IST-REx-ID: 3204
V. Kolmogorov, “Submodularity on a tree: Unifying Submodularity on a tree: Unifying L-convex and bisubmodular functions convex and bisubmodular functions,” presented at the MFCS: Mathematical Foundations of Computer Science, 2011, vol. 6907, pp. 400–411.
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2011 | Published | Conference Paper | IST-REx-ID: 3205
D. Tarlow, D. Batra, P. Kohli, and V. Kolmogorov, “Dynamic tree block coordinate ascent,” presented at the ICML: International Conference on Machine Learning, 2011, pp. 113–120.
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2011 | Published | Conference Paper | IST-REx-ID: 3206
A. Osokin, D. Vetrov, and V. Kolmogorov, “Submodular decomposition framework for inference in associative Markov networks with global constraints,” presented at the CVPR: Computer Vision and Pattern Recognition, 2011, pp. 1889–1896.
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2011 | Published | Book Chapter | IST-REx-ID: 2922
S. Vicente, V. Kolmogorov, and C. Rother, “Graph-cut Based Image Segmentation with Connectivity Priors,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2923
M. P. Kumar, V. Kolmogorov, and P. Torr, “Analyzing Convex Relaxations for MAP Estimation,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2924
A. Criminisi, G. Cross, A. Blake, and V. Kolmogorov, “Bilayer Segmentation of Video,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2925
C. Rother, V. Kolmogorov, Y. Boykov, and A. Blake, “Interactive Foreground Extraction using graph cut,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011.
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2011 | Published | Book Chapter | IST-REx-ID: 2935
Y. Boykov and V. Kolmogorov, “Basic graph cut algorithms,” in Markov Random Fields for Vision and Image Processing, A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press, 2011, pp. 31–50.
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2010 | Published | Conference Paper | IST-REx-ID: 3201
S. Vicente, V. Kolmogorov, and C. Rother, “Cosegmentation revisited: Models and optimization,” presented at the ECCV: European Conference on Computer Vision, 2010, vol. 6312, pp. 465–479.
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2010 | Published | Conference Paper | IST-REx-ID: 2934
V. Kolmogorov, “Generalized roof duality and bisubmodular functions,” presented at the Neural Information Processing Systems, 2010.
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2009 | Published | Journal Article | IST-REx-ID: 3197 |

M. P. Kumar, V. Kolmogorov, and P. Torr, “An analysis of convex relaxations for MAP estimation of discrete MRFs,” Journal of Machine Learning Research, vol. 10. Microtome Publishing, pp. 71–106, 2009.
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2009 | Published | Conference Paper | IST-REx-ID: 3199
S. Vicente, V. Kolmogorov, and C. Rother, “Joint optimization of segmentation and appearance models,” presented at the ICCV: International Conference on Computer Vision, 2009, pp. 755–762.
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2008 | Published | Conference Paper | IST-REx-ID: 3194
P. Kohli, A. Shekhovtsov, C. Rother, V. Kolmogorov, and P. Torr, “On partial optimality in multi label MRFs,” presented at the ICML: International Conference on Machine Learning, 2008, pp. 480–487.
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2008 | Published | Conference Paper | IST-REx-ID: 3195
S. Vicente, V. Kolmogorov, and C. Rother, “Graph cut based image segmentation with connectivity priors,” presented at the CVPR: Computer Vision and Pattern Recognition, 2008.
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2008 | Published | Conference Paper | IST-REx-ID: 3198
L. Torresani, V. Kolmogorov, and C. Rother, “Feature correspondence via graph matching: Models and global optimization,” presented at the ECCV: European Conference on Computer Vision, 2008, vol. 5303, pp. 596–609.
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2007 | Published | Journal Article | IST-REx-ID: 3187
A. Blake, A. Criminisi, G. Cross, V. Kolmogorov, and C. Rother, “Fusion of stereo colour and contrast,” Springer Tracts in Advanced Robotics, vol. 28. Springer, pp. 295–304, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 3191
V. Kolmogorov, Y. Boykov, and C. Rother, “Applications of parametric maxflow in computer vision,” presented at the ICCV: International Conference on Computer Vision, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 3192
C. Rother, V. Kolmogorov, V. Lempitsky, and M. Szummer, “Optimizing binary MRFs via extended roof duality,” presented at the CVPR: Computer Vision and Pattern Recognition, 2007.
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2007 | Published | Conference Paper | IST-REx-ID: 2933
M. P. Kumar, V. Kolmogorov, and P. Torr, “An Analysis of Convex Relaxations for MAP Estimation,” presented at the Neural Information Processing Systems, 2007.
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2006 | Published | Conference Paper | IST-REx-ID: 3180
R. Szeliski et al., “A comparative study of energy minimization methods for Markov random fields,” presented at the ECCV: European Conference on Computer Vision, 2006, vol. 3952, pp. 16–29.
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2006 | Published | Conference Paper | IST-REx-ID: 3184
V. Kolmogorov and C. Rother, “Comparison of energy minimization algorithms for highly connected graphs,” presented at the ECCV: European Conference on Computer Vision, 2006, vol. 3952 LNCS, pp. 1–15.
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2006 | Published | Journal Article | IST-REx-ID: 3185
V. Kolmogorov, A. Criminisi, A. Blake, G. Cross, and C. Rother, “Probabilistic fusion of stereo with color and contrast for bilayer segmentation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 9. IEEE, pp. 1480–1492, 2006.
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2006 | Published | Conference Paper | IST-REx-ID: 3188
C. Rother, V. Kolmogorov, T. Minka, and A. Blake, “Cosegmentation of image pairs by histogram matching - Incorporating a global constraint into MRFs,” presented at the CVPR: Computer Vision and Pattern Recognition, 2006, pp. 993–1000.
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2006 | Published | Conference Paper | IST-REx-ID: 3189
A. Criminisi, G. Cross, A. Blake, and V. Kolmogorov, “Bilayer segmentation of live video,” presented at the CVPR: Computer Vision and Pattern Recognition, 2006, vol. 1, pp. 53–60.
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2006 | Published | Journal Article | IST-REx-ID: 3190
V. Kolmogorov, “Convergent tree reweighted message passing for energy minimization,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 10. IEEE, pp. 1568–1583, 2006.
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2005 | Published | Conference Paper | IST-REx-ID: 3175
C. Rother, S. Kumar, V. Kolmogorov, and A. Blake, “Digital tapestry,” presented at the CVPR: Computer Vision and Pattern Recognition, 2005, vol. 1, pp. 589–596.
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2005 | Published | Conference Paper | IST-REx-ID: 3181
V. Kolmogorov and M. Wainwright, “On the optimality of tree reweighted max product message passing,” presented at the UAI: Uncertainty in Artificial Intelligence, 2005, pp. 316–323.
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2005 | Published | Conference Paper | IST-REx-ID: 3183
V. Kolmogorov, A. Criminisi, A. Blake, G. Cross, and C. Rother, “Bi-layer segmentation of binocular stereo video,” presented at the CVPR: Computer Vision and Pattern Recognition, 2005, vol. 2, pp. 407–414.
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2004 | Published | Conference Paper | IST-REx-ID: 3179
C. Rother, V. Kolmogorov, and A. Blake, “"GrabCut" - Interactive foreground extraction using iterated graph cuts ,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, 2004, vol. 23, no. 3, pp. 309–314.
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2003 | Published | Conference Paper | IST-REx-ID: 3171
V. Kolmogorov, R. Zabih, and S. Gortler, “Generalized multi camera scene reconstruction using graph cuts,” presented at the EMMCVPR: Energy Minimization Methods in Computer Vision and Pattern Recognition, 2003, vol. 2683, pp. 501–516.
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