4 papers
Free-support Wasserstein Resampling in Sequential Monte Carlo
Mengyu Li, Cheng Meng, Jun S. Liu
In modern sequential Monte Carlo (SMC) applications, such as diffusion model samplers, propagating a particle is expensive, so only a few particles can be afforded. In this regime,…
Beyond Straightness: Non-Crossing Flow Matching via Quantile AlignTree Coupling
Junyi Lin, Mengyu Li, Jingxuan Hu +2
The performance of Flow Matching largely depends on the quality of the coupling between the source and target distributions. However, independent coupling often leads to path cross…
Core-elements Subsampling for Alternating Least Squares
Dunyao Xue, Mengyu Li, Cheng Meng +1
In this paper, we propose a novel element-wise subset selection method for the alternating least squares (ALS) algorithm, focusing on low-rank matrix factorization involving matric…
Gaussian Herding across Pens: An Optimal Transport Perspective on Global Gaussian Reduction for 3DGS
Tao Wang, Mengyu Li, Geduo Zeng +2
3D Gaussian Splatting (3DGS) has emerged as a powerful technique for radiance field rendering, but it typically requires millions of redundant Gaussian primitives, overwhelming mem…