1 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Scalable Physics-based Maximum Likelihood Estimation using Hierarchical Matrices
Yian Chen, Mihai Anitescu
Physics-based covariance models provide a systematic way to construct covariance models that are consistent with the underlying physical laws in Gaussian process analysis. The unkn…