Machine Learning Theory
Continuously updated self-learning notes for cool machine learning theory and papers. Includes diffusion and flow matching, NeurODE, and more.
Notes
Notes below are sorted in order of recency and format: the earliest notes in 2022 are typed in Pages followed by Notion, then LaTeX in 2023 and finally Bookdown in 2024.
Reinforcement Learning
Self-learning notes for reinforcement learning at introductory graduate level. Covers classical MDP theory as well as modern toolkits applicable to relaxed assumptions and learning-based methods.
Classical Information Theory
Comprehensive course notes for MIT 6.370 Information Theory: from Coding to Learning, (Fall 2024, Yury Polyanskiy) This is a very fast-paced, graduate-level treatment of modern information theory.
Classical Mechanics
Teaching assistant material of Harvard Physics 151: Mechanics (Fall 2024, Arthur Jaffe). It provides a mathematical perspective on the boundary between classical and quantum mechanics, with applications ranging from symmetry principles to field theory.
Measure Theory and Functional Analysis (2024)
Course notes of Harvard Math 114 (Fall 2024). It reinforces the mathematical foundations for a rigorous understanding of information theory and infinite-dimensional physical systems.
Hyperbolic Geometry
Research notes including hyperbolic groups, Dehn algorithm, and Svarc-Milnor lemma. Part of an incomplete research project (suspended).
Statistical Inference
Course notes for Stat 111: Statistical Inference (Spring 2024); the bread and butter of classical inference.
Quantum Mechanics II
Course notes for Physics 143b: Quantum Mechanics II (Fall 2023, Sonia Paban) at Harvard. Many constructions were later much better understood after taking classical mechanics.
Algebra
Self-study notes on MacLane and Birkhoff’s Algebra. These notes cover topics roughly equivalent to a one-semester undergraduate course on group and ring theory.
Basic Category Theory
Self-study notes for Tom Leinster’s Basic Category Theory Chapters 1-4, covering basic definitions, adjunction, representables, and universal constructions.
Miscelleous (2023)
Self-study notes for tensor and exterior algebra, differential forms, quaternions, and basic differential geometry.
Quantum Computation
Course notes for MIT 8.3710(Fall 2022, Peter Shor), a introductory graduate course in quantum computation. Features the basics of quantum circuits, Grover and Shor’s algorithms, quantum channels and error-correction.
Theoretical Computer Science
Course notes for Harvard CS 121: Theoretical Computer Science (Fall 2022, Boaz Barak). Provides foundational knowledge in computability and complexity, as well as strong intuitions on computational models and fundamental limits of computation; my favorite computer science course at Harvard.