My research is supported in part by NSF CAREER-1944904, NSF DMS-1811868, and NIH R01 GM131399.

Tensor Data Analysis

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Theory of Deep Learning

Nonconvex/Manifold Optimization

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Markov Process Process State Aggregation, Information-based Reinforcement Learning

Microbiome Data Analysis

Matrix Estimation, Matrix Completion, Phase Retrieval

Matrix PCA/SVD

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Semisupervised Inference

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Compressed Sensing and High-dimensional Regression

High-dimensional Covariance Matrix Estimation

Applied Probability

Miscellaneous

Collaborative Research and Other Manuscripts