About
I am a postdoctoral research scholar in the Decision, Risk, and Operations Division at Columbia Business School, working with Hongseok Namkoong and Assaf Zeevi. I earned my PhD in Management Science and Engineering from Stanford University, where I had the privilege of being advised by Peter Glynn and Jose Blanchet. I completed my bachelor's degree in Mathematics at the University of Science and Technology of China (USTC).
Research
I am interested in leveraging scalable tools to analyze complex systems including stochastic models in operations research and stochastic algorithms in machine learning. To facilitate this analysis in great generality, I develop theories and algorithms in the realm of general state-space Markov chains, as summarized in my thesis Markov Chain Convergence Analysis: From Pen and Paper to Deep Learning. In addition, I am fascinated by a particular discrete state-space Markov chain, for which I prove that Rubik’s Cube Scrambling Requires at Least 26 Random Moves.
The Trilogy
Deep Learning for Computing Convergence Rates of Markov Chains
with Jose Blanchet and Peter Glynn, NeurIPS (spotlight), 2024
- The first general-purpose algorithm to bound the convergence
Computable Bounds on Convergence of Markov Chains in Wasserstein Distance
with Jose Blanchet and Peter Glynn, submitted
- The theoretical fondation of the above algorithm
- Applied Probability Society Best Student Paper Prize, 2023
- Applied Probability Society Conference Best Poster Award, 2023
Estimating the Convergence Rate to Equilibrium of a Markov Chain via Simulation
with Jose Blanchet and Peter Glynn, preprint
- A consistent estimator for the exact convergence rate
Bias of Markov Chain Sample Quantile
with Peter Glynn, preprint
Uniform Edgeworth Expansion for Markov Chains
with Peter Glynn, preprint
On a New Characterization of Harris Recurrence for Markov Chains and Processes
with Peter Glynn, Mathematics, 2023
Strong Limit Interchange Property of a Sequence of Markov Processes
with Jose Blanchet and Peter Glynn, work in progress
- Verifying \(X_n(t)\Rightarrow X_\infty(\infty)\) as \(n,t\rightarrow\infty\)
Teaching
Centennial Teaching Assistant for the following MS&E courses at Stanford
