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Stochastic Numerics Research Group
STOCHNUM
Extreme Computing Research Center
randomized orthogonal greedy algorithm
Randomized Greedy Algorithms for Neural Network Optimization in Solving Partial Differential Equations
Xiaofeng Xu, Ph.D. Student, Applied Mathematics and Computational Science
Jul 15, 17:00
-
19:00
B4 L5 R5220
PDEs
optimization
machine learning
randomized orthogonal greedy algorithm
This thesis introduces the randomized orthogonal greedy algorithm (ROGA) to bridge the gap between theoretical and practical performance of shallow neural networks for solving partial differential equations by overcoming key optimization challenges to achieve provably optimal convergence rates.
