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Serguei Barannikov
Serguei Barannikov
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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
3261997
The framed Morse complex and its invariants
S Barannikov
Advances in Soviet Mathematics, 21 (DOI : 10.1090/advsov/021/03), 93-116, 1994
1771994
Quantum periods, I: semi-infinite variations of Hodge structures
S Barannikov
International Mathematics Research Notices 2001 (23), 1243-1264, 2000
119*2000
Semi-infinite Hodge structures and mirror symmetry for projective spaces
S Barannikov
arXiv preprint math/0010157, 2000
81*2000
Modular operads and Batalin-Vilkovisky geometry
S Barannikov
International Mathematics Research Notices, preprint MPI 2006-48 2007 (doi …, 2006
652006
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
372021
Generalized periods and mirror symmetry in dimensions n> 3
S Barannikov
arXiv preprint math/9903124, 1999
361999
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
342021
Non-Commutative Periods and Mirror Symmetry in Higher Dimensions
S Barannikov
Communications in mathematical physics 228 (2), 281-325, 2002
282002
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
222021
Noncommutative Batalin–Vilkovisky geometry and matrix integrals
S Barannikov
Comptes Rendus Mathématique (2010), preprint hal-00102085 (2006) 348 (7-8 …, 2006
21*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
192023
On the space of real polynomials without multiple critical values
SA Barannikov
Functional Analysis and Its Applications 26 (2), 84-90, 1992
171992
Extended moduli spaces and mirror symmetry in dimensions n> 3
SA Barannikov
PhD Thesis.UNIVERSITY OF CALIFORNIA, BERKELEY, 47 pages, 1998
14*1998
Solving the noncommutative Batalin–Vilkovisky equation
S Barannikov
Letters in Mathematical Physics 103, 605-628, 2013
132013
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
122022
Matrix De Rham Complex and Quantum A-infinity algebras
S Barannikov
Letters in Mathematical Physics 104, 373-395, 2014
102014
Supersymmetry and cohomology of graph complexes
S Barannikov
hal-00429963(2009) arXiv:1803.11549, Lett Math Phys (2018) https://doi.org …, 2009
10*2009
Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type
S Barannikov
International Mathematics Research Notices 2002 (19), 973-990, 2002
102002
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
82023
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