336 citations · 1.6k across the 53 of their papers we have counts for
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physics.chem-ph2025
Molecular Learning Dynamics
Yaroslav Gusev, Vitaly Vanchurin
We apply the physics-learning duality to molecular systems by complementing the physical description of interacting particles with a dual learning description, where each particle…
cs.LG2025
Covariant Gradient Descent
Dmitry Guskov, Vitaly Vanchurin
We present a manifestly covariant formulation of the gradient descent method, ensuring consistency across arbitrary coordinate systems and general curved trainable spaces. The opti…
cs.LG2025
Geometric Learning Dynamics
Vitaly Vanchurin
We present a unified geometric framework for modeling learning dynamics in physical, biological, and machine learning systems. The theory reveals three fundamental regimes, each em…