Teaching

Collaboration and Mentoring

In reverse chronological order.

Mingcheng Lu, Fudan University Math BS'27

  • Transformer Approximations from ReLUs [arXiv]
  • A Theoretical Analysis of Discrete Flow Matching Generative Models [arXiv]
  • Learning Manifold Data with Flow Matching [ICML'26]

Xiwen Zhang, Fudan University Math BS'27

  • On Structure State-Space Duality [ICML'26]
  • Learning Constrained Boolean Functions with Softmax Attention [arXiv]

Po-Chiao Lin, NTU Physics BS'25

  • Universal Approximation, Compositional Generalization, and Algorithm Emulation All In-Context [ICML'26]

Venkat Sripad Ganti, Northwestern Math + Statistics + Economics BS'27

Jennifer Yuntong Zhang, University of Toronto BAS'26 Engineering Science → Yale CS MS (Fall'26)

  • In-Context Algorithm Emulation in Fixed-Weight Transformers [ICLR'26]

Hude Liu, Fudan University Math BS'25

  • In-Context Algorithm Emulation in Fixed-Weight Transformers [ICLR'26]
  • Attention Mechanism, Max-Affine Partition, and Universal Approximation [NeurIPS'25a]
  • Universal Approximation with Softmax Attention [ICML'26]

Maojiang Su, University of Science and Technology of China (School of the Gifted Young) BS'25 → CS PhD at Northwestern (Fall'25)

  • A Theoretical Analysis of Discrete Flow Matching Generative Models [arXiv]
  • High-Order Flow Matching: Unified Framework and Sharp Statistical Rates [NeurIPS'25b]
  • In-Context Deep Learning via Transformer Models [ICML'25b]
  • Computational Limits of Low-Rank Adaptation (LoRA) for Transformer-Based Models [ICLR'25a]

Zoe Mehta, High School Outreach Student @ Vernon Hills High School → MIT (Class of 2029)

  • Fast and Low-Cost Genomic Foundation Models via Outlier Removal [ICML'25a]

Sophia Pi, Northwestern CS + Economics + Mathematical Methods in Social Science BS'26 → UPenn CS PhD (Fall'26)

  • Learning Manifold Data with Flow Matching [ICML'26]
  • On Statistical Rates and Provably Efficient Criteria of Latent Diffusion Transformers (DiTs) [NeurIPS'24b]
  • On Flow Matching KL Divergence [arXiv]

Chenghao Qiu, Tianjin University CS BS'25 → CS PhD study at TAMU (Fall'25)

  • Fast and Low-Cost Genomic Foundation Models via Outlier Removal [ICML'25a]

Thomas Yuan-Lung Lin, High School Outreach Student @ WLSH'23 → NTU (transferred) → University of Washington Physics (Class of 2027)

  • Latent Variable Estimation in Bayesian Black-Litterman Models [ICML'25e]
  • On Computational Limits of Modern Hopfield Models: A Fine-Grained Complexity Analysis [ICML'24a]

Stephen Cheng, Northwestern EE BS'25 + CS MS'25 → CS PhD at UMD (Fall'25)

  • Financial Data Prediction Models, Statistical Theory of Diffusion Models and Transformer

Teng-Yun Hsiao, NTU Physics BS'26

  • In-Context Learning as Conditioned Associative Memory Retrieval [ICML'25c]
  • Uniform Memory Retrieval with Larger Capacity for Modern Hopfield Models [ICML'24d]

Wei-Po Wang, NTU Physics BS'24 → Physics PhD at Johns Hopkins University (Fall'25)

  • Fundamental Limits of Prompt Tuning Transformers: Universality, Capacity and Efficiency [ICLR'25b]
  • Outlier-Efficient Hopfield Layers for Large Transformer-Based Models [ICML'24b]

Morris Huang, NTU Physics MS'24 → CS PhD at North Carolina, Chapel Hill (Fall'25)

  • On Statistical Rates of Conditional Diffusion Transformers: Approximation, Estimation and Minimax Optimality [ICLR'25c]
  • BiSHop: Bi-Directional Cellular Learning for Tabular Data with Generalized Sparse Hopfield Model [ICML'24]

Hong-Yu Chen, NTU Physics MS'24 → CS PhD study at Northwestern (Fall'24)

  • Universal Approximation of Softmax Attention [ICML'26]
  • Outlier-Efficient Hopfield Layers for Large Transformer-Based Models [ICML'24b]

Yi-Chen Lee, NTU Physics BS'26 → CS PhD study at Johns Hopkins University (Fall'26)

  • High-Order Flow Matching: Unified Framework and Sharp Statistical Rates [NeurIPS'25b]
  • On Statistical Rates of Conditional Diffusion Transformers: Approximation, Estimation and Minimax Optimality [ICLR'25c]

Bo-Yu Chen, High School Outreach Student @ HSNU'23 → NTU Physics + CS (Class of 2027) with NTU Fu Bell Scholarship

  • Nonparametric Modern Hopfield Models [ICML'25c]
  • STanHop: Sparse Tandem Hopfield Model for Memory-Enhanced Time Series Prediction [ICLR'24]
  • On Sparse Modern Hopfield Model [NeurIPS'23]

Dennis Wu, MSCS'24 at Northwestern → CS PhD study at Northwestern (Fall'24)

  • Provably Optimal Memory Capacity for Modern Hopfield Models [NeurIPS'24]
  • Uniform Memory Retrieval with Larger Capacity for Modern Hopfield Models [ICML'24d]
  • STanHop: Sparse Tandem Hopfield Model for Memory-Enhanced Time Series Prediction [ICLR'24]
  • On Sparse Modern Hopfield Model [NeurIPS'23]

Zhenyu Pan, MSECE'24 at University of Rochester → CS PhD study at Northwestern (Fall'24)

Zhenji Wang, UMD'21 Math → MS'23 at Columbia University → ML PhD study at University of Tsukuba

  • Differential Geometry and Heat Kernel Expansion, 2021 Spring

Resources

A nice PhD checklist from Aaditya Ramdas

  • Checklist for research ethics
  • Checklist for a well-rounded, balanced PhD experience
  • Checklist for effectively writing papers

What are expected for graduate research

An open letter to graduate students and other procrastinators: it’s time to write

Dennis J. Hazelett, Nature Biotechnology

10 easy ways to fail a Ph.D.

Matt Might

Publications

Please see Google Scholar for the latest publications. (* denotes equal contribution)

2026

2025

2024

2023