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math.OC2020★ 6 cited
Global Convergence of Second-order Dynamics in Two-layer Neural Networks
Walid Krichene, Kenneth F. Caluya, Abhishek Halder
Recent results have shown that for two-layer fully connected neural networks, gradient flow converges to a global optimum in the infinite width limit, by making a connection betwee…
math.OC2017★ 4 cited
Acceleration and Averaging in Stochastic Mirror Descent Dynamics
Walid Krichene, Peter L. Bartlett
We formulate and study a general family of (continuous-time) stochastic dynamics for accelerated first-order minimization of smooth convex functions. Building on an averaging formu…