197 citations · 591 across the 57 of their papers we have counts for
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math.NA2023
Convex Relaxation for Fokker-Planck
Yian Chen, Yuehaw Khoo, Lek-Heng Lim
We propose an approach to directly estimate the moments or marginals for a high-dimensional equilibrium distribution in statistical mechanics, via solving the high-dimensional Fokk…
math.NA2023
Combining Monte Carlo and Tensor-network Methods for Partial Differential Equations via Sketching
Yian Chen, Yuehaw Khoo, Ziang Yu
In this paper, we propose a general framework for solving high-dimensional partial differential equations with tensor networks. Our approach uses Monte-Carlo simulations to update…
math.NA2023
Generative Modeling via Hierarchical Tensor Sketching
Yifan Peng, Yian Chen, E. Miles Stoudenmire +1
We propose a hierarchical tensor-network approach for approximating high-dimensional probability density via empirical distribution. This leverages randomized singular value decomp…