558 citations · 721 across the 15 of their papers we have counts for
16 papers
Mirror Diffusion Models for Constrained and Watermarked Generation
Guan-Horng Liu, Tianrong Chen, Evangelos A. Theodorou +1
Modern successes of diffusion models in learning complex, high-dimensional data distributions are attributed, in part, to their capability to construct diffusion processes with ana…
Deep Momentum Multi-Marginal Schrödinger Bridge
Tianrong Chen, Guan-Horng Liu, Molei Tao +1
It is a crucial challenge to reconstruct population dynamics using unlabeled samples from distributions at coarse time intervals. Recent approaches such as flow-based models or Sch…
Deep Generalized Schrödinger Bridge
Guan-Horng Liu, Tianrong Chen, Oswin So +1
Mean-Field Game (MFG) serves as a crucial mathematical framework in modeling the collective behavior of individual agents interacting stochastically with a large population. In thi…
Deep Graphic FBSDEs for Opinion Dynamics Stochastic Control
Tianrong Chen, Ziyi Wang, Evangelos A. Theodorou
In this paper, we present a scalable deep learning approach to solve opinion dynamics stochastic optimal control problems with mean field term coupling in the dynamics and cost fun…
Likelihood Training of Schrödinger Bridge using Forward-Backward SDEs Theory
Tianrong Chen, Guan-Horng Liu, Evangelos A. Theodorou
Schrödinger Bridge (SB) is an entropy-regularized optimal transport problem that has received increasing attention in deep generative modeling for its mathematical flexibility comp…
Second-Order Neural ODE Optimizer
Guan-Horng Liu, Tianrong Chen, Evangelos A. Theodorou
We propose a novel second-order optimization framework for training the emerging deep continuous-time models, specifically the Neural Ordinary Differential Equations (Neural ODEs).…