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math.OC2025
Gradient-Normalized Smoothness for Optimization with Approximate Hessians
Andrei Semenov, Martin Jaggi, Nikita Doikov
In this work, we develop new optimization algorithms that use approximate second-order information combined with the gradient regularization technique to achieve fast global conver…
math.OC2024
Improving Stochastic Cubic Newton with Momentum
El Mahdi Chayti, Nikita Doikov, Martin Jaggi
We study stochastic second-order methods for solving general non-convex optimization problems. We propose using a special version of momentum to stabilize the stochastic gradient a…