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math.AP2024
Nonlinear stability in a free boundary model of active locomotion
Leonid Berlyand, C. Alex Safsten, Lev Truskinovsky
Contraction-driven self-propulsion of a large class of living cells can be modeled by a Keller-Segel system with free boundaries. The ensuing "active" system, exhibiting both dissi…
math.AP2020
Stability for the Training of Deep Neural Networks and Other Classifiers
Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
We examine the stability of loss-minimizing training processes that are used for deep neural networks (DNN) and other classifiers. While a classifier is optimized during training t…