Discrete Optimization in Computer Vision: Theory and Practice
Project Period: 2014-06-01 – 2020-05-31
Externally Funded
Acronym
DOiCV
Principal Investigator
Vladimir Kolmogorov
Department(s)
Kolmogorov Group
Grant Number
616160
Funding Organisation
EC/FP7
38 Publications
2021 | Conference Paper | IST-REx-ID: 10072 |

A new notion of commutativity for the algorithmic Lovász Local Lemma
D.G. Harris, F. Iliopoulos, V. Kolmogorov, in:, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021.
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| arXiv
D.G. Harris, F. Iliopoulos, V. Kolmogorov, in:, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021.
2021 | Conference Paper | IST-REx-ID: 10552 |

One-sided Frank-Wolfe algorithms for saddle problems
V. Kolmogorov, T. Pock, in:, 38th International Conference on Machine Learning, 2021.
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V. Kolmogorov, T. Pock, in:, 38th International Conference on Machine Learning, 2021.
2016 | Conference Paper | IST-REx-ID: 1231 |

On the complexity of scrypt and proofs of space in the parallel random oracle model
J.F. Alwen, B. Chen, C. Kamath Hosdurg, V. Kolmogorov, K.Z. Pietrzak, S. Tessaro, in:, Springer, 2016, pp. 358–387.
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J.F. Alwen, B. Chen, C. Kamath Hosdurg, V. Kolmogorov, K.Z. Pietrzak, S. Tessaro, in:, Springer, 2016, pp. 358–387.
2016 | Journal Article | IST-REx-ID: 1377 |

Total variation on a tree
V. Kolmogorov, T. Pock, M. Rolinek, SIAM Journal on Imaging Sciences 9 (2016) 605–636.
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V. Kolmogorov, T. Pock, M. Rolinek, SIAM Journal on Imaging Sciences 9 (2016) 605–636.
2015 | Conference Paper | IST-REx-ID: 1636 |

Effectiveness of structural restrictions for hybrid CSPs
V. Kolmogorov, M. Rolinek, R. Takhanov, in:, 26th International Symposium, Springer Nature, 2015, pp. 566–577.
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| arXiv
V. Kolmogorov, M. Rolinek, R. Takhanov, in:, 26th International Symposium, Springer Nature, 2015, pp. 566–577.
2015 | Journal Article | IST-REx-ID: 1841 |

A new look at reweighted message passing
V. Kolmogorov, IEEE Transactions on Pattern Analysis and Machine Intelligence 37 (2015) 919–930.
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V. Kolmogorov, IEEE Transactions on Pattern Analysis and Machine Intelligence 37 (2015) 919–930.
2015 | Conference Paper | IST-REx-ID: 1859 |

A multi-plane block-coordinate Frank-Wolfe algorithm for training structural SVMs with a costly max-oracle
N. Shah, V. Kolmogorov, C. Lampert, in:, IEEE, 2015, pp. 2737–2745.
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N. Shah, V. Kolmogorov, C. Lampert, in:, IEEE, 2015, pp. 2737–2745.
2018 | Conference Paper | IST-REx-ID: 193 |

On the memory hardness of data independent password hashing functions
J.F. Alwen, P. Gazi, C. Kamath Hosdurg, K. Klein, G.F. Osang, K.Z. Pietrzak, L. Reyzin, M. Rolinek, M. Rybar, in:, Proceedings of the 2018 on Asia Conference on Computer and Communication Security, ACM, 2018, pp. 51–65.
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J.F. Alwen, P. Gazi, C. Kamath Hosdurg, K. Klein, G.F. Osang, K.Z. Pietrzak, L. Reyzin, M. Rolinek, M. Rybar, in:, Proceedings of the 2018 on Asia Conference on Computer and Communication Security, ACM, 2018, pp. 51–65.
2015 | Conference Paper | IST-REx-ID: 1675
Proofs of space
S. Dziembowski, S. Faust, V. Kolmogorov, K.Z. Pietrzak, 9216 (2015) 585–605.
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S. Dziembowski, S. Faust, V. Kolmogorov, K.Z. Pietrzak, 9216 (2015) 585–605.
2016 | Journal Article | IST-REx-ID: 1794 |

Inference algorithms for pattern-based CRFs on sequence data
V. Kolmogorov, R. Takhanov, Algorithmica 76 (2016) 17–46.
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V. Kolmogorov, R. Takhanov, Algorithmica 76 (2016) 17–46.
2018 | Conference Paper | IST-REx-ID: 273 |

Efficient optimization for rank-based loss functions
P. Mohapatra, M. Rolinek, C.V. Jawahar, V. Kolmogorov, M.P. Kumar, in:, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, IEEE, 2018, pp. 3693–3701.
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P. Mohapatra, M. Rolinek, C.V. Jawahar, V. Kolmogorov, M.P. Kumar, in:, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, IEEE, 2018, pp. 3693–3701.
2017 | Conference Paper | IST-REx-ID: 274 |

A faster approximation algorithm for the Gibbs partition function
V. Kolmogorov, in:, Proceedings of the 31st Conference On Learning Theory, PMLR, 2017, pp. 228–249.
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| arXiv
V. Kolmogorov, in:, Proceedings of the 31st Conference On Learning Theory, PMLR, 2017, pp. 228–249.
2016 | Conference Paper | IST-REx-ID: 1193 |

Commutativity in the algorithmic Lovasz local lemma
V. Kolmogorov, in:, Proceedings - Annual IEEE Symposium on Foundations of Computer Science, IEEE, 2016.
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| arXiv
V. Kolmogorov, in:, Proceedings - Annual IEEE Symposium on Foundations of Computer Science, IEEE, 2016.
2018 | Journal Article | IST-REx-ID: 5975 |

Commutativity in the algorithmic Lovász local lemma
V. Kolmogorov, SIAM Journal on Computing 47 (2018) 2029–2056.
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V. Kolmogorov, SIAM Journal on Computing 47 (2018) 2029–2056.
2018 | Journal Article | IST-REx-ID: 6032 |

Even delta-matroids and the complexity of planar boolean CSPs
A. Kazda, V. Kolmogorov, M. Rolinek, ACM Transactions on Algorithms 15 (2018).
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A. Kazda, V. Kolmogorov, M. Rolinek, ACM Transactions on Algorithms 15 (2018).
2017 | Conference Paper | IST-REx-ID: 1192 |

Even delta-matroids and the complexity of planar Boolean CSPs
A. Kazda, V. Kolmogorov, M. Rolinek, in:, SIAM, 2017, pp. 307–326.
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A. Kazda, V. Kolmogorov, M. Rolinek, in:, SIAM, 2017, pp. 307–326.
2015 | Conference Paper | IST-REx-ID: 1637 |

The complexity of general-valued CSPs
V. Kolmogorov, A. Krokhin, M. Rolinek, in:, IEEE, 2015, pp. 1246–1258.
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V. Kolmogorov, A. Krokhin, M. Rolinek, in:, IEEE, 2015, pp. 1246–1258.
2017 | Journal Article | IST-REx-ID: 644 |

The complexity of general-valued CSPs
V. Kolmogorov, A. Krokhin, M. Rolinek, SIAM Journal on Computing 46 (2017) 1087–1110.
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V. Kolmogorov, A. Krokhin, M. Rolinek, SIAM Journal on Computing 46 (2017) 1087–1110.
2017 | Conference Paper | IST-REx-ID: 646 |

A novel convex relaxation for non binary discrete tomography
J. Kuske, P. Swoboda, S. Petra, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 235–246.
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J. Kuske, P. Swoboda, S. Petra, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 235–246.
2019 | Journal Article | IST-REx-ID: 6596 |

Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces
Y. Shehu, Results in Mathematics 74 (2019).
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| arXiv
Y. Shehu, Results in Mathematics 74 (2019).
2020 | Journal Article | IST-REx-ID: 6593 |

An efficient projection-type method for monotone variational inequalities in Hilbert spaces
Y. Shehu, X.-H. Li, Q.-L. Dong, Numerical Algorithms 84 (2020) 365–388.
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Y. Shehu, X.-H. Li, Q.-L. Dong, Numerical Algorithms 84 (2020) 365–388.
2019 | Conference Paper | IST-REx-ID: 6725 |

Testing the complexity of a valued CSP language
V. Kolmogorov, in:, 46th International Colloquium on Automata, Languages and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 77:1-77:12.
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V. Kolmogorov, in:, 46th International Colloquium on Automata, Languages and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 77:1-77:12.
2019 | Journal Article | IST-REx-ID: 7000 |

Convergence analysis of projection method for variational inequalities
Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (2019).
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Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics 38 (2019).
2019 | Journal Article | IST-REx-ID: 7412 |

A local lemma for focused stochastical algorithms
D. Achlioptas, F. Iliopoulos, V. Kolmogorov, SIAM Journal on Computing 48 (2019) 1583–1602.
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D. Achlioptas, F. Iliopoulos, V. Kolmogorov, SIAM Journal on Computing 48 (2019) 1583–1602.
2019 | Conference Paper | IST-REx-ID: 7468 |

Map inference via block-coordinate Frank-Wolfe algorithm
P. Swoboda, V. Kolmogorov, in:, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, IEEE, 2019.
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P. Swoboda, V. Kolmogorov, in:, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, IEEE, 2019.
2020 | Journal Article | IST-REx-ID: 7925 |

New inertial relaxed method for solving split feasibilities
Y. Shehu, A. Gibali, Optimization Letters 15 (2020) 2109–2126.
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Y. Shehu, A. Gibali, Optimization Letters 15 (2020) 2109–2126.
2020 | Journal Article | IST-REx-ID: 8077 |

Projection methods with alternating inertial steps for variational inequalities: Weak and linear convergence
Y. Shehu, O.S. Iyiola, Applied Numerical Mathematics 157 (2020) 315–337.
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Y. Shehu, O.S. Iyiola, Applied Numerical Mathematics 157 (2020) 315–337.
2020 | Journal Article | IST-REx-ID: 8196 |

New strong convergence method for the sum of two maximal monotone operators
Y. Shehu, Q.-L. Dong, L.-L. Liu, J.-C. Yao, Optimization and Engineering 22 (2020) 2627–2653.
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Y. Shehu, Q.-L. Dong, L.-L. Liu, J.-C. Yao, Optimization and Engineering 22 (2020) 2627–2653.
2017 | Conference Paper | IST-REx-ID: 916 |

A study of lagrangean decompositions and dual ascent solvers for graph matching
P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, B. Savchynskyy, in:, IEEE, 2017, pp. 7062–7071.
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P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, B. Savchynskyy, in:, IEEE, 2017, pp. 7062–7071.
2021 | Journal Article | IST-REx-ID: 9234 |

New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity
C. Izuchukwu, Y. Shehu, Networks and Spatial Economics 21 (2021) 291–323.
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C. Izuchukwu, Y. Shehu, Networks and Spatial Economics 21 (2021) 291–323.
2017 | Thesis | IST-REx-ID: 992 |

Complexity of constraint satisfaction
M. Rolinek, Complexity of Constraint Satisfaction, IST Austria, 2017.
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M. Rolinek, Complexity of Constraint Satisfaction, IST Austria, 2017.
2021 | Journal Article | IST-REx-ID: 8817
An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems
Y. Shehu, O.S. Iyiola, D.V. Thong, N.T.C. Van, Mathematical Methods of Operations Research 93 (2021) 213–242.
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Y. Shehu, O.S. Iyiola, D.V. Thong, N.T.C. Van, Mathematical Methods of Operations Research 93 (2021) 213–242.
2017 | Conference Paper | IST-REx-ID: 915 |

A message passing algorithm for the minimum cost multicut problem
P. Swoboda, B. Andres, in:, IEEE, 2017, pp. 4990–4999.
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P. Swoboda, B. Andres, in:, IEEE, 2017, pp. 4990–4999.
2017 | Conference Paper | IST-REx-ID: 917 |

A dual ascent framework for Lagrangean decomposition of combinatorial problems
P. Swoboda, J. Kuske, B. Savchynskyy, in:, IEEE, 2017, pp. 4950–4960.
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P. Swoboda, J. Kuske, B. Savchynskyy, in:, IEEE, 2017, pp. 4950–4960.
2021 | Journal Article | IST-REx-ID: 9365
Convergence analysis of new inertial method for the split common null point problem
F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization (2021).
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F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization (2021).
2021 | Journal Article | IST-REx-ID: 9469
Reflected three-operator splitting method for monotone inclusion problem
O.S. Iyiola, C.D. Enyi, Y. Shehu, Optimization Methods and Software (2021).
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O.S. Iyiola, C.D. Enyi, Y. Shehu, Optimization Methods and Software (2021).
2020 | Journal Article | IST-REx-ID: 7161 |

Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces
Y. Shehu, A. Gibali, S. Sagratella, Journal of Optimization Theory and Applications 184 (2020) 877–894.
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Y. Shehu, A. Gibali, S. Sagratella, Journal of Optimization Theory and Applications 184 (2020) 877–894.
2020 | Journal Article | IST-REx-ID: 7577 |

Weak convergence for variational inequalities with inertial-type method
Y. Shehu, O.S. Iyiola, Applicable Analysis (2020) 1–25.
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Y. Shehu, O.S. Iyiola, Applicable Analysis (2020) 1–25.