90 citations · 910 across the 140 of their papers we have counts for
9 papers · 1 filter
Momentum Multi-Marginal Schrödinger Bridge Matching
Panagiotis Theodoropoulos, Augustinos D. Saravanos, Evangelos A. Theodorou +1
Understanding complex systems by inferring trajectories from sparse sample snapshots is a fundamental challenge in a wide range of domains, e.g., single-cell biology, meteorology,…
Deep Generalized Schrödinger Bridges: From Image Generation to Solving Mean-Field Games
Guan-Horng Liu, Tianrong Chen, Evangelos A. Theodorou
Generalized Schrödinger Bridges (GSBs) are a fundamental mathematical framework used to analyze the most likely particle evolution based on the principle of least action including…
Feedback Schrödinger Bridge Matching
Panagiotis Theodoropoulos, Nikolaos Komianos, Vincent Pacelli +2
Recent advancements in diffusion bridges for distribution transport problems have heavily relied on matching frameworks, yet existing methods often face a trade-off between scalabi…
Generalized Schrödinger Bridge Matching
Guan-Horng Liu, Yaron Lipman, Maximilian Nickel +3
Modern distribution matching algorithms for training diffusion or flow models directly prescribe the time evolution of the marginal distributions between two boundary distributions…
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…
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…
Propagating Uncertainty through the tanh Function with Application to Reservoir Computing
Manan Gandhi, Keuntaek Lee, Yunpeng Pan +1
Many neural networks use the tanh activation function, however when given a probability distribution as input, the problem of computing the output distribution in neural networks w…