A short note arguing via Minkowski sums that infinite-width shallow network objectives become convex in the limit, while leaving the finite-width local landscape unproved.
Borkar, Stochastic Approximation: A Dynamical Systems Viewpoint (second edition), Hindustan Publishing Agency and Springer Nature, 2022/24
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Asymptotic convexity of wide and shallow neural networks
A short note arguing via Minkowski sums that infinite-width shallow network objectives become convex in the limit, while leaving the finite-width local landscape unproved.