1. E. Tulchinskii, K. Kuznetsov, L. Kushnareva, D. Cherniavskii, S. Nikolenko, E. Burnaev, S. Barannikov, I. Piontkovskaya, “Intrinsic Dimension Estimation for Robust Detection of AI-Generated Texts” [ PDF: English, arXiv: 2306.04723], Advances in Neural Information Processing Systems 36 (NeurIPS 2023)
  2. I. Trofimov, D. Cherniavskii, E. Tulchinskii, N. Balabin, E. Burnaev, S. Barannikov, “Learning Topology-Preserving Data Representations” [ PDF: English, arXiv: 2302.00136], 11th International Conference on Learning Representations (ICLR 2023)
  3. E. Tulchinskii, K. Kuznetsov, L. Kushnareva, D. Cherniavskii, S. Barannikov, I. Piontkovskaya, S. Nikolenko, E. Burnaev, “Topological Data Analysis for Speech Processing”, [ PDF: English, arXiv: 2211.17223],  Proceedings  of the 24th Conference of the International Speech Communication Association, 311-315,  (INTERSPEECH 2023)
  4. S. Barannikov, A. Korotin, D. Oganesyan, D. Emtsev, E. Burnaev, “Barcodes as summary of loss function’s topology”, [ PDF: English, arXiv: 1912.00043], Doklady Mathematics, vol 108  (5), 2023
  5. D.Voronkova, S.Barannikov, E.Burnaev, “One-dimensional Topological Invariants to Estimate Loss Surface Non-Convexity”, Doklady Mathematics, vol 108 (5), 2023
  6. D. Cherniavskii, E. Tulchinskii, V. Mikhailov, I. Proskurina, L. Kushnareva, E. Artemova, S. Barannikov, I. Piontkovskaya, D. Piontkovski, E. Burnaev, “Acceptability Judgements via Examining the Topology of Attention Maps”, [ PDF: English, arXiv: 2205.096303], Findings of the Association for Computational Linguistics: EMNLP 2022, 88-107
  7. S. Barannikov, I. Trofimov, N. Balabin, E. Burnaev, “Representation Topology Divergence: A Method for Comparing Neural Network Representations” [ PDF: English, arXiv: 2201.00058] 39th International Conference on Machine Learning, Proceedings of Machine Learning Research, 162, 1607-1626  (ICML 2022)
  8. S Barannikov, I Trofimov, E Trimbach, J Wang, E Burnaev, “Homological assessment of data representations”,
    14th International Conference on Machine Vision (ICMV 2021), Proceedings of SPIE, the International Society for Optical Engineering, 2022, vol 12084, 86-90
  9. L. Kushnareva, D. Cherniavskii, V. Mikhailov, E. Artemova, S. Barannikov, A. Bernstein, I. Piontkovskaya, D. Piontkovski, E. Burnaev, “Artificial Text Detection via Examining the Topology of Attention Maps”, Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing, 635-649, [ PDF: English, arXiv: 2109.04825], (EMNLP’21)
  10. S. Barannikov, I. Trofimov, G. Sotnikov, E. Trimbach, A. Korotin, A. Filippov, E. Burnaev, “Manifold Topology Divergence: a Framework for Comparing Data Manifolds” [ PDF: English, arXiv: 2106.04024],  Advances in Neural Information Processing Systems 34, 7294-7305 (NeurIPS 2021)
  11. S. Barannikov, D. Voronkova, I. Trofimov, A. Korotin, G. Sotnikov, E. Burnaev, “Topological obstructions in neural networks learning” [ PDF: English, arXiv: 2012.15834]
  12. S. Barannikov, “Supersymmetry and cohomology of graph complexes”, Lett Math Phys 109, 699–724 (2019) [ PDF: English, arXiv: 1803.11549]
  13. S. Barannikov, “EA-Matrix integrals of associative algebras and equivariant localization”, Arnold Math J. 5, 97–104 (2019) [ PDF: English, arXiv: 1710.08499]
  14. S. Barannikov, “Matrix De Rham Complex and Quantum A-infinity algebras”, Lett Math Phys 104, 373–395 (2014), [ PDF: English, arXiv: 1001.5264]
  15. S. Barannikov, “Solving the noncommutative Batalin–Vilkovisky equation”, Lett Math Phys 103, 605–628 (2013)
  16. S Barannikov, “Noncommutative Batalin–Vilkovisky geometry and matrix integrals”, Comptes Rendus Mathematique, v.348(7–8), 2010, 359-362, [ PDF: English, arXiv: 0912.5484]
  17. S. Barannikov, “Modular operads and Batalin-Vilkovisky geometry”, International Mathematics Research Notices, v.2007, 2007, rnm075, [ PDF: English, arXiv: 1710.08442]
  18. S. Barannikov, “Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type”, International Mathematics Research Notices, v.2002(19) 2002, 973–990, [ PDF: English, arXiv: math/0108148]
  19. S. Barannikov, “Non-Commutative Periods and Mirror Symmetry in Higher Dimensions”, Commun. Math. Phys. 228, 281–325 (2002)
  20. S. Barannikov, “Quantum periods, I: Semi-infinite variations of Hodge structures”, Intern. Math. Research Notices 2001 (23), 1243-1264, [ PDF: English, arXiv: math/0006193]
  21. S. Barannikov, “Semi-infinite Hodge structures and mirror symmetry for projective spaces”, [ PDF: English, arXiv: math/0010157]
  22. S. Barannikov, “Extended moduli spaces and mirror symmetry in dimensions n> 3″, PhD Thesis. Univ. of California, Berkeley, 47p. 1999
  23. S. Barannikov, M. Kontsevich, “Frobenius manifolds and formality of Lie algebras of polyvector fields”, Int. Math. Research Notices, v.1998 (4), 1998, 201–215, [PDF: English, arXiv: alg-geom/9710032]
  24. S. Barannikov, “The framed Morse complex and its invariants”, Advances in Soviet Mathematics, 1994, Singularities and Bifurcations, 21, pp.93-116,
  25. S. Barannikov, “The Complements of Resultant and Discriminant Sets in C^n Are M-Manifolds”, Funct Analysis and Its Appl 27 (3), 1-4 (1993)
  26. S. Barannikov, “On the space of real polynomials without multiple critical values”, Funct Analysis and Its Appl 26, 84–90 (1992)

Ph.D. in Mathematics, University of California – Berkeley.