Miscellaneous

This page contains miscellaneous materials.

Selected Readings and Study Slides

These are a few materials I studied and made slides for, some of which were prepared as part of final presentation projects.

• Optimal Recovery Meets Minimax Estimation (DeVore et al. 2025): My slide. Original paper.
• Minimax Optimality of Diffusion Models: My slide. Report version. Summarized two papers. Paper 1 is diffusion model’s minimax optimality (Oko et al. 2023), and Paper 2 is minimax density estimation in Wasserstein space (Niles-Weed and Berthet. 2022).
• Minimax estimation in Besov spaces: Team presentation slide. Summarized two papers. Paper 1 is Minimax estimation via wavelet shrinkage (Donoho and Johnstone. 1998), and Paper 2 is deep learning’s minimax optimality (Suzuki and Nitanda. 2021).
• Reproducing kernel Hilbert C*-module and kernel mean embeddings (Hashimoto et al. 2021): My slide. Original paper.
• A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers (Negahban et al. 2010): Team presentation slide. Original paper.
• Solution Manifold and Its Statistical Applications (Chen. 2020): My slide. Original paper.

Some handwritten notes:

• The “no go” theorem of Groenewald: Quantum Theory for Mathematicians, GTM, Vol. 267, section 13.4. My handwriting note
• Curvature of optimal control problems: Control Theory from the Geometric Viewpoint Chapter 23, Section 1. My handwriting note.