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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

Research Interests


Theory and computation of spectral methods, kernel methods, high dimensional data analysis, and machine learning.

Selected 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

NSF-BSF: Group Invariant Graph Laplacians: Theory and Computations

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2025

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

ResearchPrincipal Investigator · Awarded by Georgia Tech Research Corporation · 2022 - 2024

HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms

ResearchSenior Investigator · Awarded by National Science Foundation · 2019 - 2023

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

NSF-BSF: Group Invariant Graph Laplacians: Theory and Computations

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2025

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

ResearchPrincipal Investigator · Awarded by Georgia Tech Research Corporation · 2022 - 2024

HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms

ResearchSenior Investigator · Awarded by National Science Foundation · 2019 - 2023

Sloan Foundation Fellowship for Xiuyuan Cheng in Mathematics

ResearchPrincipal Investigator · Awarded by Alfred P. Sloan Foundation · 2019 - 2023

Efficient Methods for Calibration, Clustering, Visualization and Imputation of Large scRNA-seq Data

ResearchPrincipal Investigator · Awarded by Yale University · 2019 - 2023

Collaborative Research: Geometric Analysis and Computation of Generative Models

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2018 - 2022

CDS&E: Structure-aware Representation Learning using Deep Networks

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2018 - 2022