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09/07/2023
Gradient-Based Feature Learning under Structured Data
Recent works have demonstrated that the sample complexity of gradient-ba...
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06/12/2023
Convergence of mean-field Langevin dynamics: Time and space discretization, stochastic gradient, and variance reduction
The mean-field Langevin dynamics (MFLD) is a nonlinear generalization of...
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03/06/2023
Primal and Dual Analysis of Entropic Fictitious Play for Finite-sum Problems
The entropic fictitious play (EFP) is a recently proposed algorithm that...
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01/25/2022
Convex Analysis of the Mean Field Langevin Dynamics
As an example of the nonlinear Fokker-Planck equation, the mean field La...
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12/31/2020
Particle Dual Averaging: Optimization of Mean Field Neural Networks with Global Convergence Rate Analysis
We propose the particle dual averaging (PDA) method, which generalizes t...
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06/18/2020
When Does Preconditioning Help or Hurt Generalization?
While second order optimizers such as natural gradient descent (NGD) oft...
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06/10/2020
On the Optimal Weighted ℓ_2 Regularization in Overparameterized Linear Regression
We consider the linear model 𝐲 = 𝐗β_⋆ + ϵ with 𝐗∈ℝ^n× p in the overparam...
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06/19/2019
Stochastic Runge-Kutta Accelerates Langevin Monte Carlo and Beyond
Sampling with Markov chain Monte Carlo methods typically amounts to disc...
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01/20/2019
Modeling the Biological Pathology Continuum with HSIC-regularized Wasserstein Auto-encoders
A crucial challenge in image-based modeling of biomedical data is to ide...
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02/17/2018
Post Selection Inference with Incomplete Maximum Mean Discrepancy Estimator
Measuring divergence between two distributions is essential in machine l...
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02/15/2018
Selecting the Best in GANs Family: a Post Selection Inference Framework
"Which Generative Adversarial Networks (GANs) generates the most plausib...
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02/15/2018