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Le-Xing Ying

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Open access Aug 2026

Solving the Fokker–Planck Equation of Discretized Dean–Kawasaki Models with Functional Hierarchical Tensor

Abstract. We propose a particle-based workflow for approximating the time-dependent law of finite-volume discretizations of the Dean–Kawasaki model. After discretization, the state is a nonnegative vector whose total mass is conserved by the finite-volume scheme, and it is therefore supported on a probability simplex....

Xun Tang, Lexing Ying · 0 citations
Jul 2026

Variational Inference and Density Estimation with Non-negative Tensor Train

An efficient numerical approach for compressing a high-dimensional discrete distribution function into a non-negative tensor train (NTT) format and observing that the proposed NTT fitting procedure exhibits drastically faster convergence than an alternative multiplicative update method that has been previously proposed...

Xun Tang, Rajat Vadiraj Dwaraknath, Le-Xing Ying · 0 citations

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