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math.OC2025
Adaptive Regularized Newton Method with Inexact Hessian
Aleksandr Shestakov, Nail Bashirov, Andrei Semenov +4
Newton's method is the most widespread high-order method, demanding the gradient and the Hessian of the objective function. However, one of the main disadvantages of Newtons method…
math.OC2023
The Black-Box Optimization Problem: Zero-Order Accelerated Stochastic Method via Kernel Approximation
Aleksandr Lobanov, Nail Bashirov, Alexander Gasnikov
In this paper, we study the standard formulation of an optimization problem when the computation of gradient is not available. Such a problem can be classified as a "black box" opt…