4 papers
Gaussian mixture layers for neural networks
Sinho Chewi, Philippe Rigollet, Yuling Yan
The mean-field theory for two-layer neural networks considers infinitely wide networks that are linearly parameterized by a probability measure over the parameter space. This nonpa…
DDPM Score Matching and Distribution Learning
Sinho Chewi, Alkis Kalavasis, Anay Mehrotra +1
Score estimation is the backbone of score-based generative models (SGMs), especially denoising diffusion probabilistic models (DDPMs). A key result in this area shows that with acc…
The ballistic limit of the log-Sobolev constant equals the Polyak-Åojasiewicz constant
Sinho Chewi, Austin J. Stromme
The Polyak-Lojasiewicz (PL) constant of a function characterizes the best exponential rate of convergence of gradient flow for , uniformly…
Statistical optimal transport
Sinho Chewi, Jonathan Niles-Weed, Philippe Rigollet
We present an introduction to the field of statistical optimal transport, based on lectures given at Ãcole d'Ãté de Probabilités de Saint-Flour XLIX.