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 CiteBi-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 CiteConvergence Analysis and Acceleration of Fictitious Play for General Mean-Field Games via the Best Response
Preprint · November 12, 2024 Link to item CiteRecent Grants
CAREER: Learning of graph diffusion and transport from high dimensional data with low-dimensional structures
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2028RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026Bridging Statistical Hypothesis Tests and Deep Learning for Reliability and Computational Efficiency
ResearchPrincipal Investigator · Awarded by Georgia Tech Research Corporation · 2022 - 2025View All Grants
Education, Training & Certifications
Princeton University ·
2013
Ph.D.