Fundamental research and developments in the field of applied artificial intelligence

EV Burnaev, AV Bernstein, VV Vanovskiy… - Doklady …, 2022 - Springer
The present stage of development of artificial intelligence (AI) is based on advanced
technologies and modern methods and algorithms of machine learning (ML) including deep …

AdaFisher: Adaptive Second Order Optimization via Fisher Information

DM Gomes, Y Zhang, E Belilovsky, G Wolf… - arxiv preprint arxiv …, 2024 - arxiv.org
First-order optimization methods are currently the mainstream in training deep neural
networks (DNNs). Optimizers like Adam incorporate limited curvature information by …

Another approach to build Lyapunov functions for the first order methods in the quadratic case

DM Merkulov, IV Oseledets - Computational Mathematics and …, 2024 - Springer
Lyapunov functions play a fundamental role in analyzing the stability and convergence
properties of optimization methods. In this paper, we propose a novel and straightforward …