2 papers
math.NA2026
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…
math.NA2025
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…