Barcodes as summary of loss function topology

DOI10.1134/s1064562423701570arXiv1912.00043OpenAlexW4393172380MaRDI QIDQ6124396

E. V. Burnaev, Serguei Barannikov, A. A. Korotin, D. I. Emtsev, D. A. Oganesyan

Publication date: 27 March 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00043

zbMATH Keywords

Morse theoryneural networkspersistent homologypersistence barcodesloss surface

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31)

Cites Work

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• Barcodes and area-preserving homeomorphisms
• Lectures on Morse theory, old and new
• Differentiable dynamical systems
• Entropy-SGD: biasing gradient descent into wide valleys
• Geometry helps in bottleneck matching and related problems

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