Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems

Author:

Nurbekyan Levon1ORCID,Lei Wanzhou2,Yang Yunan3ORCID

Affiliation:

1. Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095 USA.

2. Harvard University, Cambridge, MA 02138 USA.

3. Department of Mathematics, Cornell University, Ithaca, NY 14853 USA.

Funder

AFOSR

Courant Institute of Mathematical Sciences, New York University

NSF

Walter Haefner Foundation

ETH Zürich Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

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1. Riemannian Natural Gradient Methods;SIAM Journal on Scientific Computing;2024-01-22

2. Stochastic representation of many-body quantum states;Nature Communications;2023-06-16

3. Geometry and convergence of natural policy gradient methods;Information Geometry;2023-06-02

4. Learning dynamics on invariant measures using PDE-constrained optimization;Chaos: An Interdisciplinary Journal of Nonlinear Science;2023-06-01

5. Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme;Scientific Reports;2023-03-18

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