3 problems
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A depth-dependent bound on third derivatives at the edge of stability
Consider mean-squared-error (MSE) training of a neural network with depth denoted by , learning rate , and third derivative of the loss denoted by…
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A conjectural extension of centered-noise analyses to the de-biased trajectory
Let mini-batch SGD without replacement be compared with an algorithm whose steps are centered and independent, such as full-batch gradient descent or SGD with replacement. The depe…
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Relaxation of translation invariance for smoothing algorithms
The paper studies nonconvex, nonsmooth optimization through oracle complexity. In its smoothing results, the algorithm is assumed to be translation invariant with respect to consta…