2025

2025-07-15 Functional Analysis Series: Contractions and Fixed-Point Iteration

2025-04-20 Lagrange Multiplier, Penalty Methods, Ill-conditioning, and Augmented Lagrangian

2025-04-09 Kuhn-Tucker Conditions and Contact Formulation

2025-03-16 Boltzmann Distribution and Statistical Entropy

2025-01-27 Image Diffusion by Pytorch

2025-01-06 Grad, Div, and Curl

2024

2024-11-24 Automatic Differentiation

2024-10-15 Langevin Dynamics

2024-10-12 An Interesting Way to Generate Spatially Varying Microstructures

2024-07-15 The Road to Diffusion Models: Score-based Models

2024-07-12 The Road to Diffusion Models: Variational Diffusion Models

2024-07-10 The Road to Diffusion Models: Variational Autoencoders

2024-07-09 The Road to Diffusion Models: Introduction