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Vladimir Kolmogorov

Pavel Arkhipov

Mikhail Karapetyants

Asaf Lev-Ran

Jeferson Zapata

Martin Dvorak

Senanayak Karri

Alexandr Kazda

Michal Rolinek

Nasim Samei

Ivan Sergeev

Neel Shah

Yekini Shehu

Pouyan Shirzadian

Paul Swoboda

Rustem Takhanov



85 Publications

2026 | Published | Conference Paper | IST-REx-ID: 21140 | OA
Arkhipov, Pavel, and Vladimir Kolmogorov. “Faster Algorithms for Packing Forests in Graphs and Related Problems.” Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2026, pp. 4023–42, doi:10.1137/1.9781611978971.148.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Submitted | Preprint | IST-REx-ID: 21400 | OA
Sergeev, Ivan, et al. “A Blueprint for the Formalization of Seymour’s Matroid Decomposition Theorem.” ArXiv, doi:10.48550/arXiv.2601.01255.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Thesis | PhD | IST-REx-ID: 21957 | OA
Zapata, Jeferson. Overcoming Degeneracy and Singularity: Techniques for Semidefinite Programs and Homotopy Continuation Endgames. Institute of Science and Technology Austria, 2026, doi:10.15479/AT-ISTA-21957.
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 22607 | PlanS
Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” Annals of Formalized Mathematics, vol. 2, 14253, EPI Sciences, 2026, doi:10.46298/afm.14253.
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Thesis | PhD | IST-REx-ID: 21393 | OA
Dvorak, Martin. Pursuit of Truth and Beauty in Lean 4: Formally Verified Theory of Grammars, Optimization, Matroids. Institute of Science and Technology Austria, 2026, doi:10.15479/AT-ISTA-21393.
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 21007 | OA | PlanS
Kolmogorov, Vladimir. “A Simpler and Parallelizable O(√log n)-Approximation Algorithm for SPARSEST CUT.” ACM Transactions on Algorithms, vol. 21, no. 4, Association for Computing Machinery, 2025, pp. 1–22, doi:10.1145/3748723.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21143 | OA | PlanS
Harris, David G., et al. “A New Notion of Commutativity for the Algorithmic Lovász Local Lemma.” Theory of Computing, vol. 21, no. 5, University of Chicago Press, 2025, pp. 1–34, doi:10.4086/toc.2025.v021a005.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18855 | OA
Harris, David G., and Vladimir Kolmogorov. “Parameter Estimation for Gibbs Distributions.” ACM Transactions on Algorithms, vol. 21, no. 1, 3, Association for Computing Machinery, 2025, doi:10.1145/3685676.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 10045 | OA
Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem and Discrete Convexity.” Mathematical Programming, vol. 209, Springer Nature, 2025, pp. 279–322, doi:10.1007/s10107-024-02064-5.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 21399 | OA
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, 2512.07087.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21144 | OA
Kolmogorov, Vladimir, et al. “Certifying Solutions of Degenerate Semidefinite Programs.” SIAM Journal on Optimization, vol. 35, no. 3, Society for Industrial and Applied Mathematics, 2025, pp. 1630–54, doi:10.1137/24m1664691.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Draft | Preprint | IST-REx-ID: 21398 | OA
Dvorak, Martin, et al. “Composition Direction of Seymour’s Theorem for Regular Matroids — Formally Verified.” ArXiv, 2509.20539, doi:10.48550/arXiv.2509.20539.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 17236 | OA
Kolmogorov, Vladimir. “A Simpler and Parallelizable O(√log n)-Approximation Algorithm for Sparsest Cut.” Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures, Association for Computing Machinery, 2024, pp. 403–14, doi:10.1145/3626183.3659969.
[Published Version] View | Files available | DOI | WoS | arXiv
 
earlier version | 2024 | Draft | Preprint | IST-REx-ID: 20071 | OA
Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally  Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
earlier version | 2023 | Published | Conference Paper | IST-REx-ID: 14084 | OA
Harris, David G., and Vladimir Kolmogorov. “Parameter Estimation for Gibbs Distributions.” 50th International Colloquium on Automata, Languages, and Programming, vol. 261, 72, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.ICALP.2023.72.
[Published Version] View | Files available | DOI | arXiv
 
2023 | Published | Conference Paper | IST-REx-ID: 14448 | OA
Kolmogorov, Vladimir. “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, vol. 2023, IEEE, 2023, pp. 11980–89, doi:10.1109/CVPR52729.2023.01153.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Published | Conference Paper | IST-REx-ID: 13120 | OA
Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars - Formally Verified.” 14th International Conference on Interactive Theorem Proving, vol. 268, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.ITP.2023.15.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 | Published | Journal Article | IST-REx-ID: 10737 | OA
Takhanov, Rustem, and Vladimir Kolmogorov. “Combining Pattern-Based CRFs and Weighted Context-Free Grammars.” Intelligent Data Analysis, vol. 26, no. 1, IOS Press, 2022, pp. 257–72, doi:10.3233/IDA-205623.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 | Published | Journal Article | IST-REx-ID: 9469
Iyiola, Olaniyi S., et al. “Reflected Three-Operator Splitting Method for Monotone Inclusion Problem.” Optimization Methods and Software, vol. 37, no. 4, Taylor & Francis, 2022, pp. 1527–65, doi:10.1080/10556788.2021.1924715.
View | DOI | WoS
 
2022 | Published | Journal Article | IST-REx-ID: 9365
Ogbuisi, Ferdinard U., et al. “Convergence Analysis of New Inertial Method for the Split Common Null Point Problem.” Optimization, vol. 71, no. 13, Taylor & Francis, 2022, pp. 3767–95, doi:10.1080/02331934.2021.1914035.
View | DOI | WoS
 

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