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Xiuyuan Cheng

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


Professor of Mathematics · 2025 - Present Mathematics, Trinity College of Arts & Sciences
Professor of Statistical Science · 2026 - Present Statistical Science, Trinity College of Arts & Sciences

Recent Publications


PDEs for machine learning

Journal Article Research in Mathematical Sciences · September 1, 2025 Full text Cite

Cluster-independent multiscale marker identification in single-cell RNA-seq data using localized marker detector (LMD).

Journal Article Communications biology · July 2025 Identifying accurate cell markers in single-cell RNA-seq data is crucial for understanding cellular diversity and function. Localized Marker Detector (LMD) is a novel tool to identify "localized genes"-genes exclusively expressed in groups of highly simila ... Full text Cite

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
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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

Collaborative Reseach: Transferable, Hierarchical, Expressive, Optimal, Robust, Interpretable NETworks (THEORINET)

ResearchCo-Principal Investigator · Awarded by National Science Foundation · 2020 - 2026

Collaborative Reseach: Transferable, Hierarchical, Expressive, Optimal, Robust, Interpretable NETworks (THEORINET)

ResearchCo-Principal Investigator · Awarded by Simons Foundation · 2020 - 2026

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Education, Training & Certifications


Princeton University · 2013 Ph.D.

External Links


Personal website