activity
20192023
most citedRectified Flow: A Marginal Preserving Approach to Optimal Transport

10 citations · 21 across the 7 of their papers we have counts for

collaborators

7 papers

cs.IT2023

Matrix Completion over Finite Fields: Bounds and Belief Propagation Algorithms

Mahdi Soleymani, Qiang Liu, Hessam Mahdavifar +1

We consider the low rank matrix completion problem over finite fields. This problem has been extensively studied in the domain of real/complex numbers, however, to the best of auth…

cs.LG2022★ 2 cited

Sampling in Constrained Domains with Orthogonal-Space Variational Gradient Descent

Ruqi Zhang, Qiang Liu, Xin T. Tong

Sampling methods, as important inference and learning techniques, are typically designed for unconstrained domains. However, constraints are ubiquitous in machine learning problems…

stat.ML2022★ 2 cited

Sampling with Mollified Interaction Energy Descent

Lingxiao Li, Qiang Liu, Anna Korba +2

Sampling from a target measure whose density is only known up to a normalization constant is a fundamental problem in computational statistics and machine learning. In this paper,…

stat.ML2022★ 10 cited

Rectified Flow: A Marginal Preserving Approach to Optimal Transport

Qiang Liu

We present a flow-based approach to the optimal transport (OT) problem between two continuous distributions on , of minimizing a transport cost $\mathbb{E}[…

cs.LG2022★ 1 cited

A Langevin-like Sampler for Discrete Distributions

Ruqi Zhang, Xingchao Liu, Qiang Liu

We propose discrete Langevin proposal (DLP), a simple and scalable gradient-based proposal for sampling complex high-dimensional discrete distributions. In contrast to Gibbs sampli…

cs.LG2021★ 4 cited

Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations

Yingtao Luo, Qiang Liu, Yuntian Chen +3

Partial differential equations (PDEs) that fit scientific data can represent physical laws with explainable mechanisms for various mathematically-oriented subjects, such as physics…

math.DS2019★ 2 cited

Uniform Decay Estimates for Solutions of a Class of Retarded Integral Inequalities

Desheng Li, Qiang Liu, Xuewei Ju

Some uniform decay estimates are established for solutions of the following type of retarded integral inequalities: $$y(t)\leq E(t,τ)||y_τ||+\int_τ^t K_1(t,s)||y_s||ds+\int_t^\inft…