47 citations · 124 across the 15 of their papers we have counts for
4 papers · 1 filter
Neural Collapse with Cross-Entropy Loss
Jianfeng Lu, Stefan Steinerberger
We consider the variational problem of cross-entropy loss with feature vectors on a unit hypersphere in . We prove that when , the global minimum is…
Global optimality of softmax policy gradient with single hidden layer neural networks in the mean-field regime
Andrea Agazzi, Jianfeng Lu
We study the problem of policy optimization for infinite-horizon discounted Markov Decision Processes with softmax policy and nonlinear function approximation trained with policy g…
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions
Yulong Lu, Jianfeng Lu
This paper studies the universal approximation property of deep neural networks for representing probability distributions. Given a target distribution and a source distributio…
Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach
Jiequn Han, Jianfeng Lu, Mo Zhou
We propose a new method to solve eigenvalue problems for linear and semilinear second order differential operators in high dimensions based on deep neural networks. The eigenvalue…