Papers › LOSSGRAD: automatic learning rate in gradient descent

LOSSGRAD: automatic learning rate in gradient descent

20 Feb 2019arXiv:1902.07656archive 2025-07-28

Bartosz Wójcik, Łukasz Maziarka, Jacek Tabor

In this paper, we propose a simple, fast and easy to implement algorithm LOSSGRAD (locally optimal step-size in gradient descent), which automatically modifies the step-size in gradient descent during neural networks training. Given a function f, a point x, and the gradient ∇ₓ f of f, we aim to find the step-size h which is (locally) optimal, i.e. satisfies: h=arg min_(t ≥0) f(x-t ∇ₓ f). Making use of quadratic approximation, we show that the algorithm satisfies the above assumption. We experimentally show that our method is insensitive to the choice of initial learning rate while achieving results comparable to other methods.

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