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82 Publications
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2026 |
Published |
Conference Paper |
IST-REx-ID: 21140 |
Arkhipov P, Kolmogorov V. 2026. Faster algorithms for packing forests in graphs and related problems. Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 4023–4042.
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2026 |
Submitted |
Preprint |
IST-REx-ID: 21400 |
Sergeev I, Dvorak M, Rampell C, Sandey M, Monticone P. A blueprint for the formalization of Seymour’s matroid decomposition theorem. arXiv, 10.48550/arXiv.2601.01255.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 18855 |
Harris DG, Kolmogorov V. 2025. Parameter estimation for Gibbs distributions. ACM Transactions on Algorithms. 21(1), 3.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 10045 |
Dvorak M, Kolmogorov V. 2025. Generalized minimum 0-extension problem and discrete convexity. Mathematical Programming. 209, 279–322.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21007 |
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Kolmogorov V. 2025. A simpler and parallelizable O(√log n)-approximation algorithm for SPARSEST CUT. ACM Transactions on Algorithms. 21(4), 1–22.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21143 |
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Harris DG, Iliopoulos F, Kolmogorov V. 2025. A new notion of commutativity for the algorithmic Lovász Local Lemma. Theory of Computing. 21(5), 1–34.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21144 |
Kolmogorov V, Naldi S, Zapata J. 2025. Certifying solutions of degenerate semidefinite programs. SIAM Journal on Optimization. 35(3), 1630–1654.
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2025 |
Submitted |
Preprint |
IST-REx-ID: 21399 |
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 21398 |
Dvorak M, Figueroa-Reid T, Hamadani R, Hwang B-H, Karunus E, Kolmogorov V, Meiburg A, Nelson A, Nelson P, Sandey M, Sergeev I. Composition direction of Seymour’s theorem for regular matroids — Formally verified. arXiv, 10.48550/arXiv.2509.20539.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17236 |
Kolmogorov V. 2024. A simpler and parallelizable O(√log n)-approximation algorithm for sparsest cut. Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures. SPAA: Symposium on Parallelism in Algorithms and Architectures, 403–414.
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| arXiv
2024 |
Draft |
Preprint |
IST-REx-ID: 20071 |
Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv, 2409.08119.
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| arXiv
2023 |
Published |
Conference Paper |
IST-REx-ID: 14084 |
Harris DG, Kolmogorov V. 2023. Parameter estimation for Gibbs distributions. 50th International Colloquium on Automata, Languages, and Programming. ICALP: Automata, Languages and Programming, LIPIcs, vol. 261, 72.
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| arXiv
2023 |
Published |
Conference Paper |
IST-REx-ID: 14448 |
Kolmogorov V. 2023. Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition vol. 2023, 11980–11989.
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| arXiv
2023 |
Published |
Conference Paper |
IST-REx-ID: 13120 |
Dvorak M, Blanchette J. 2023. Closure properties of general grammars - formally verified. 14th International Conference on Interactive Theorem Proving. ITP: Interactive Theorem Proving, LIPIcs, vol. 268, 15.
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| arXiv
2022 |
Published |
Journal Article |
IST-REx-ID: 10737 |
Takhanov R, Kolmogorov V. 2022. Combining pattern-based CRFs and weighted context-free grammars. Intelligent Data Analysis. 26(1), 257–272.
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2022 |
Published |
Journal Article |
IST-REx-ID: 7577 |
Shehu Y, Iyiola OS. 2022. Weak convergence for variational inequalities with inertial-type method. Applicable Analysis. 101(1), 192–216.
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| arXiv
2021 |
Published |
Conference Paper |
IST-REx-ID: 10552 |
Kolmogorov V, Pock T. 2021. One-sided Frank-Wolfe algorithms for saddle problems. 38th International Conference on Machine Learning. ICML: International Conference on Machine Learning.
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2021 |
Published |
Conference Paper |
IST-REx-ID: 10072 |
Harris DG, Iliopoulos F, Kolmogorov V. 2021. A new notion of commutativity for the algorithmic Lovász Local Lemma. Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques. APPROX/RANDOM: Approximation Algorithms for Combinatorial Optimization Problems/ Randomization and Computation, LIPIcs, vol. 207, 31.
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