Weighted Laplacian Flow: A Deterministic Particle Flow with Provable Convergence
Wei-Ye Gan, Tang-Jun Wang, Zuo-Qiang Shi
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Preprint
Aug 2026
Weighted Laplacian Flow: A Deterministic Particle Flow with Exponential Convergence
We introduce weighted Laplacian flow (WLF), a deterministic particle-flow framework for sampling from a target distribution known only up to normalization. The proposed method evolves the logarithmic density ratio through a transport equation and determines the particle velocity from a target-weighted Poisson problem,...
Wei-Ye Gan, Tang-Jun Wang, Zuo-Qiang Shi
· 0 citations