2 papers
cs.LG2019
Barcodes as Summary of Loss Function Topology
Serguei Barannikov, Alexander Korotin, Dmitry Oganesyan +2
We propose to study neural networks' loss surfaces by methods of topological data analysis. We suggest to apply barcodes of Morse complexes to explore topology of loss surfaces. An…
math.AG2016
Abel pairs and modular curves
Dmitry Oganesyan
In this article we consider rational functions on algebraic curves, which have one zero and one pole (and call pair of such function and curve Abel pair). We investigate moduli spa…