Frobenius manifolds and formality of Lie algebras of polyvector fields S Barannikov, M Kontsevich arXiv preprint alg-geom/9710032, International Math. Res. Notices 1998 (4 …, 1997 | 333 | 1997 |
The framed Morse complex and its invariants S Barannikov Advances in Soviet Mathematics, 21 (DOI : 10.1090/advsov/021/03), 93-116, 1994 | 199 | 1994 |
Quantum periods, I: semi-infinite variations of Hodge structures S Barannikov International Mathematics Research Notices 2001 (23), 1243-1264, 2000 | 122* | 2000 |
Semi-infinite Hodge structures and mirror symmetry for projective spaces S Barannikov arXiv preprint math/0010157, 2000 | 84* | 2000 |
Modular operads and Batalin-Vilkovisky geometry S Barannikov International Mathematics Research Notices, preprint MPI 2006-48 2007 (doi …, 2006 | 68 | 2006 |
Intrinsic Dimension Estimation for Robust Detection of AI-Generated Texts E Tulchinskii, K Kuznetsov, L Kushnareva, D Cherniavskii, S Barannikov, ... Advances in Neural Information Processing Systems (NeurIPS 2023) arXiv:2306 …, 2023 | 67 | 2023 |
Representation Topology Divergence: A Method for Comparing Neural Network Representations S Barannikov, I Trofimov, N Balabin, E Burnaev 39th International Conference on Machine Learning (ICML 2022) 162, 1607-1626, 2021 | 64 | 2021 |
Artificial text detection via examining the topology of attention maps L Kushnareva, D Cherniavskii, V Mikhailov, E Artemova, S Barannikov, ... Empirical Methods in Natural Language Processing (EMNLP 2021), 635–649, 2021 | 53 | 2021 |
Generalized periods and mirror symmetry in dimensions n> 3 S Barannikov arXiv preprint math/9903124, 1999 | 36 | 1999 |
Manifold Topology Divergence: a Framework for Comparing Data Manifolds S Barannikov, I Trofimov, G Sotnikov, E Trimbach, A Korotin, A Filippov, ... Advances in Neural Information Processing Systems (NeurIPS 2021) 34, 7294-7305., 2021 | 33 | 2021 |
Non-Commutative Periods and Mirror Symmetry in Higher Dimensions S Barannikov Communications in mathematical physics 228 (2), 281-325, 2002 | 27 | 2002 |
Learning Topology-Preserving Data Representations I Trofimov, D Cherniavskii, E Tulchinskii, N Balabin, E Burnaev, ... 11th International Conference on Learning Representations (ICLR 2023); arXiv …, 2023 | 24 | 2023 |
Acceptability Judgements via Examining the Topology of Attention Maps D Cherniavskii, E Tulchinskii, V Mikhailov, I Proskurina, L Kushnareva, ... Findings of the Association for Computational Linguistics: EMNLP 2022, 88-107, 2022 | 23 | 2022 |
Noncommutative Batalin–Vilkovisky geometry and matrix integrals S Barannikov Comptes Rendus Mathématique (2010), preprint hal-00102085 (2006) 348 (7-8 …, 2006 | 20* | 2006 |
On the space of real polynomials without multiple critical values SA Barannikov Functional Analysis and Its Applications 26 (2), 84-90, 1992 | 17 | 1992 |
Solving the noncommutative Batalin–Vilkovisky equation S Barannikov Letters in Mathematical Physics 103, 605-628, 2013 | 14 | 2013 |
Extended moduli spaces and mirror symmetry in dimensions n> 3 SA Barannikov PhD Thesis.UNIVERSITY OF CALIFORNIA, BERKELEY, 47 pages, 1998 | 14* | 1998 |
Matrix De Rham Complex and Quantum A-infinity algebras S Barannikov Letters in Mathematical Physics 104, 373-395, 2014 | 11 | 2014 |
Topological obstructions in neural networks learning S Barannikov, D Voronkova, I Trofimov, A Korotin, G Sotnikov, E Burnaev arXiv preprint arXiv:2012.15834, 2020 | 10 | 2020 |
Supersymmetry and cohomology of graph complexes S Barannikov hal-00429963(2009) arXiv:1803.11549, Lett Math Phys (2018) https://doi.org …, 2009 | 10* | 2009 |