Sampling, sampling, and sampling!

Sampling methods, from rejection sampling to Markov Chain Monte Carlo.

April 15, 2026 · 1 min · Zhiyang Shen

A Twenty-Month Retrospective: Lessons and Reflections

A personal reflection on the (first) research project that I’ve worked on over the past 20 months, focusing on what I learned, where I struggled, and how my thinking evolved along the way.

April 9, 2026 · 3 min · Zhiyang Shen

Perron-Frobenius Theorem and the Stationary Distribution for Markov Chains

Proof of the uniqueness of stationary distribution for finite irreducible Markov chains, using Perron-Frobenius Theorem

January 24, 2026 · 2 min · Zhiyang Shen

Understanding Diffusion Models

From differential equation to diffusion models

January 24, 2026 · 14 min · Zhiyang Shen

Lecture Notes (Pieces)

Lecture notes (pieces) collected from everywhere.

September 11, 2025 · 7 min · Zhiyang Shen

Random Thoughts & Ideas

碎碎念

February 6, 2025 · 2 min · Zhiyang Shen