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stat.ML2026
Stochastic gradient descent with discontinuity across a manifold
Vivek S. Borkar
Stochastic gradient descent for a loss function discontinuous across lower dimensional manifolds is analyzed by studying its differential equation limit.
stat.ML2026
Stochastic approximation in non-markovian environments revisited
Vivek Shripad Borkar
Based on some recent work of the author on stochastic approximation in non-markovian environments, the situation when the driving random process is non-ergodic in addition to being…
stat.ML2025
Asymptotic convexity of wide and shallow neural networks
Vivek Borkar, Parthe Pandit
For a simple model of shallow and wide neural networks, we show that the epigraph of its input-output map as a function of the network parameters approximates epigraph of a. convex…