212 citations · 568 across the 48 of their papers we have counts for
50 papers
A Primal-Dual Framework for Transformers and Neural Networks
Tan M. Nguyen, Tam Nguyen, Nhat Ho +3
Self-attention is key to the remarkable success of transformers in sequence modeling tasks including many applications in natural language processing and computer vision. Like neur…
Real space iterative reconstruction for vector tomography (RESIRE-V)
Minh Pham, Xingyuan Lu, Arjun Rana +2
Tomography has had an important impact on the physical, biological, and medical sciences. To date, most tomographic applications have been focused on 3D scalar reconstructions. How…
Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations
Tingwei Meng, Wenbo Hao, Siting Liu +2
Hamilton-Jacobi (HJ) partial differential equations (PDEs) have diverse applications spanning physics, optimal control, game theory, and imaging sciences. This research introduces…
Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals
Hong Ye Tan, Stanley Osher, Wuchen Li
We consider the problem of sampling from a distribution governed by a potential function. This work proposes an explicit score based MCMC method that is deterministic, resulting in…
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers
Liu Yang, Siting Liu, Stanley J. Osher
In the growing domain of scientific machine learning, in-context operator learning has shown notable potential in building foundation models, as in this framework the model is trai…
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation
Guosheng Fu, Stanley Osher, Will Pazner +1
We design and compute a class of optimal control problems for reaction-diffusion systems. They form mean field control problems related to multi-density reaction-diffusion systems.…