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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
S. A. Barannikov, D. S. Voronkova, A. Mironenko, I. Trofimov, A. Korotin, G. Sotnikov, E. V. Burnaev, “Loss barcode: a topological measure of escapability in loss landscapes”, Dokl. RAN. Math. Inf. Proc. Upr., 527 (2025), 495–522   ; Dokl. Math., 112:3 (2025), 600–623 |
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M. P. Ivanova, I. E. Trofimov, A. V. Mironenko, P. V. Strashnov, M. K. Kravchenko, S. A. Barannikov, E. V. Burnaev, “RES-LT: extracting higher-order topological features from protein language models for enhanced per-residue classification”, Dokl. RAN. Math. Inf. Proc. Upr., 527 (2025), 367–377 ; Dokl. Math., 112:2 (2025), 362–369 |
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2023 |
| 3. |
S. A. Barannikov, A. A. Korotin, D. A. Oganesyan, D. I. Emtsev, E. V. Burnaev, “Barcodes as summary of loss function topology”, Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023), 196–211 ; Dokl. Math., 108:suppl. 2 (2023), S333–S347 |
| 4. |
D. S. Voronkova, S. A. Barannikov, E. V. Burnaev, “1-Dimensional topological invariants to estimate loss surface non-convexity”, Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023), 187–195 ; Dokl. Math., 108:suppl. 2 (2023), S325–S332 |
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1993 |
| 5. |
S. A. Barannikov, “The Complements of Resultant and Discriminant Sets in $\mathbb C^n$ Are $M$-Manifolds”, Funktsional. Anal. i Prilozhen., 27:3 (1993), 1–4   ; Funct. Anal. Appl., 27:2 (1993), 155–157  |
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1992 |
| 6. |
S. A. Barannikov, “On the space of real polynomials without multiple critical values”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 10–17 ; Funct. Anal. Appl., 26:2 (1992), 84–90 |
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| Presentations in Math-Net.Ru |
| 1. |
Баркоды, кросс-баркоды и их применения в машинном обучении: от обнаружения сгенерированных ИИ текстов до направляющих сигналов для нейро-солверов в задаче коммивояжёра
S. A. Barannikov
Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar)
May 26, 2026 18:30
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| 2. |
Topology and Geometry for Trustworthy Machine Learning
S. A. Barannikov
Mathematics of Artificial Intelligence
September 22, 2025 17:00
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| 3. |
Persistence barcodes, topological losses, and their applications for neural networks representations
S. A. Barannikov
June 5, 2024 15:00
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| 4. |
Invariants of Morse complexes, persistent homology and data analysis
S. A. Barannikov
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
March 7, 2019 16:00
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| 5. |
Noncommutative Hodge structures, Batalin -Vilkovisky geometry and mirror symmetry
S. A. Barannikov
Siberian summer school: Current developments in Geometry
September 1, 2018 11:00
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| 6. |
Noncommutative Hodge structures, Batalin -Vilkovisky geometry and mirror symmetry
S. A. Barannikov
Siberian summer school: Current developments in Geometry
August 31, 2018 11:00
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| 7. |
Инварианты Громова-Виттена всех родов компактных многообразий Калаби-Яу
S. A. Barannikov
Shafarevich Seminar
February 27, 2018 15:00
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| 8. |
Модулярные А-бесконечность алгебры
Sergey Barannikov
A. Bondal Seminar
February 22, 2007 15:00
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| 9. |
Symmetric groups and Batalin–Vilkovisky geometry of Deligne–Mumford moduli spaces
S. A. Barannikov
Seminar by Algebra Department
May 23, 2006
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