1 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
Committor functions via tensor networks
Yian Chen, Jeremy Hoskins, Yuehaw Khoo +1
We propose a novel approach for computing committor functions, which describe transitions of a stochastic process between metastable states. The committor function satisfies a back…
Multiscale semidefinite programming approach to positioning problems with pairwise structure
Yian Chen, Yuehaw Khoo, Michael Lindsey
We consider the optimization of pairwise objective functions, i.e., objective functions of the form fo…