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Efficient Numerical Algorithm for Large-Scale Damped Natural Gradient Descent

Authors: Yixiao Chen, Hao Xie, Han Wang

Published: 2023 ()

Algorithm: Gradient Descent

arXiv: 2310.17556

Summary

Abstract

We propose a new algorithm for efficiently solving the damped Fisher matrix in large-scale scenarios where the number of parameters significantly exceeds the number of available samples. This problem is fundamental for natural gradient descent and stochastic reconfiguration. Our algorithm is based on Cholesky decomposition and is generally applicable. Benchmark results show that the algorithm is significantly faster than existing methods.