1 citations · 1 across the 3 of their papers we have counts for
7 papers
Optimal Control Theoretic Neural Optimizer: From Backpropagation to Dynamic Programming
Guan-Horng Liu, Tianrong Chen, Evangelos A. Theodorou
Optimization of deep neural networks (DNNs) has been a driving force in the advancement of modern machine learning and artificial intelligence. With DNNs characterized by a prolong…
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…
Quantum State Generation with Structure-Preserving Diffusion Model
Yuchen Zhu, Tianrong Chen, Evangelos A. Theodorou +2
This article considers the generative modeling of the (mixed) states of quantum systems, and an approach based on denoising diffusion model is proposed. The key contribution is an…
Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups
Yuchen Zhu, Tianrong Chen, Lingkai Kong +2
The generative modeling of data on manifolds is an important task, for which diffusion models in flat spaces typically need nontrivial adaptations. This article demonstrates how a…
React-OT: Optimal Transport for Generating Transition State in Chemical Reactions
Chenru Duan, Guan-Horng Liu, Yuanqi Du +6
Transition states (TSs) are transient structures that are key in understanding reaction mechanisms and designing catalysts but challenging to be captured in experiments. Alternativ…
Augmented Bridge Matching
Valentin De Bortoli, Guan-Horng Liu, Tianrong Chen +2
Flow and bridge matching are a novel class of processes which encompass diffusion models. One of the main aspect of their increased flexibility is that these models can interpolate…