Skip to main content

Xiuyuan Cheng

Associate Professor of Mathematics
Mathematics
120 Science Drive, P.O. Box 90320, Durham, NC 27708
120 Science Drive, 293 Physics Building, Durham, NC 27708

Overview


As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning.

Current Appointments & Affiliations


Associate Professor of Mathematics · 2022 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications


Gene trajectory inference for single-cell data by optimal transport metrics.

Journal Article Nature biotechnology · February 2025 Single-cell RNA sequencing has been widely used to investigate cell state transitions and gene dynamics of biological processes. Current strategies to infer the sequential dynamics of genes in a process typically rely on constructing cell pseudotime throug ... Full text Cite

Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise.

Journal Article Information and inference : a journal of the IMA · December 2024 Bi-stochastic normalization provides an alternative normalization of graph Laplacians in graph-based data analysis and can be computed efficiently by Sinkhorn-Knopp (SK) iterations. This paper proves the convergence of bi-stochastically normalized graph La ... Full text Cite
View All Publications

Recent Grants


CAREER: Learning of graph diffusion and transport from high dimensional data with low-dimensional structures

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2028

RTG: Training Tomorrow's Workforce in Analysis and Applications

Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026

Bridging Statistical Hypothesis Tests and Deep Learning for Reliability and Computational Efficiency

ResearchPrincipal Investigator · Awarded by Georgia Tech Research Corporation · 2022 - 2025

View All Grants

Education, Training & Certifications


Princeton University · 2013 Ph.D.

External Links


Personal website