2024

November

Denoising Diffusions with Optimal Transport: Localization, Curvature, and Multi-Scale Complexity

September

Randomization Inference When N Equals One

July

A Convexified Matching Approach to Imputation and Individualized Inference

January

BUSN 41918 (PhD): Data, Learning, and Algorithms

2023

June

Learning When the Concept Shifts: Confounding, Invariance, and Dimension Reduction

May

Detecting Weak Distribution Shifts via Displacement Interpolation

2022

December

Blessings and Curses of Covariate Shifts: Adversarial Learning Dynamics, Directional Convergence, and Equilibria

April

High-dimensional Asymptotics of Langevin Dynamics in Spiked Matrix Models

February

Online Learning to Transport via the Minimal Selection Principle

2021

September

Reversible Gromov-Monge Sampler for Simulation-Based Inference

March

Universal Prediction Band via Semi-Definite Programming

January

Interpolating Classifiers Make Few Mistakes

2020

April

Mehler’s Formula, Branching Process, and Compositional Kernels of Deep Neural Networks

February

A Precise High-Dimensional Asymptotic Theory for Boosting and Minimum-L1-Norm Interpolated Classifiers

2019

August

On the Multiple Descent of Minimum-Norm Interpolants and Restricted Lower Isometry of Kernels

January

Training Neural Networks as Learning Data-adaptive Kernels: Provable Representation and Approximation Benefits

2018

September

Deep Neural Networks for Estimation and Inference

August

Just Interpolate: Kernel Ridgeless Regression Can Generalize

March

BUSN 41000 (MBA): Business Statistics

February

Local Optimality and Generalization Guarantees for the Langevin Algorithm via Empirical Metastability

2017

December

How Well Generative Adversarial Networks Learn Distributions

Statistical Inference for the Population Landscape via Moment Adjusted Stochastic Gradients