coursework
on this page I briefly elaborate on the courses that had great impacts on me and my thoughts on them.
Graduate Courses: I’ve taken six graduate courses.
Stat 260: Theoretical Statistics: Additional Chapters, Fall 2024, taught by Prof. Nikita Zhivotovskiy
· Stein's unbiased risk estimate and its applications.
· Minimax lower bounds.
· RKHS theory and its relation to statistics.
· Sparse recovery.
· Elements of sampling theory.
· Analysis of interpolating estimators.
EE 229: Information Theory and Coding, Fall 2024, taught by Prof. Venkatachalam Anantharam
· Fundamental bounds of Shannon theory and their application.
· Source and channel coding theorems.
· Galois field theory, algebraic error-correction codes.
EE 226A: Random Processes in Systems, Spring 2024, taught by Prof. Anant Sahai
· Measure Theory, limit theorems and convergence.
· Gaussian random variables and processes.
· Linear estimation and time series analysis.
· Discrete and continuous time Markov Chains.
· Poisson process.
· Martingales.
Stat 241B: Advanced Topics in Statistical Learning, Spring 2024, taught by Prof. Ryan Tibshirani
· Nearest neighbors and kernels.
· Splines and RKHS methods.
· Minimax theory.
· Empirical process theory.
· Lasso, Ridge and Ridgeless.
· Conformal prediction under distribution shift.
Stat 210A: Theoretical Statistics, Fall 2023, taught by Prof. Will Fithian
· Statistical decision theory (frequentist and Bayesian).
· Exponential families.
· Point estimation.
· Hypothesis testing.
· Resampling methods.
· Estimating equations and maximum likelihood.
· Empirical Bayes.
· Large-sample theory.
· High-dimensional testing, multiple testing and selective inference.
CS 285: Deep Reinforcement Learning, Decision Making, and Control, Fall 2023, taught by Prof. Sergey Levine
· Supervised learning to decision making.
· Q-learning, policy gradients, actor-critic.
· Model-based algorithms: planning, sequence models.
· Exploration.
· Offline reinforcement learning.
· Inverse reinforcement learning.
Others: Linear Algebra; Introductory Mechanics and Relativity; Introduction to Computational Techniques in Physics; Introduction to Abstract Algebra; Introductory Electromagnetism, Waves, and Optics; Data Structures and Programming Methodology; Probability and Random Processes; Introduction to Analysis; Quantum Mechanics; Introduction to Machine Learning; Optimization Models in Engineering; Mathematical Probability Theory; Introduction to Complex Analysis.