Barannikov Sergei Aleksandrovich

Publications in Math-Net.Ru

1. Loss barcode: a topological measure of escapability in loss landscapes
   
   Dokl. RAN. Math. Inf. Proc. Upr., 527 (2025),  495–522
2. 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
3. Barcodes as summary of loss function topology
   
   Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023),  196–211
4. 1-Dimensional topological invariants to estimate loss surface non-convexity
   
   Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023),  187–195
5. The Complements of Resultant and Discriminant Sets in $\mathbb C^n$ Are $M$-Manifolds
   
   Funktsional. Anal. i Prilozhen., 27:3 (1993),  1–4
6. On the space of real polynomials without multiple critical values
   
   Funktsional. Anal. i Prilozhen., 26:2 (1992),  10–17