Piles of Sand

notes on what I've been up to

A Proof of the Heisenberg Uncertainty Principle

2 min read · December 12, 2025

2025 · Uncertainty Principles Harmonic Analysis
Characterization of KL-divergence Barycenters

5 min read · January 05, 2025

2025 · Information Theory Barycenters
Kernel Ridge Regression

4 min read · November 24, 2024

2024 · Convex Optimization Dictionary Learning Regularization
Notes on Transportation Inequalities

9 min read · October 07, 2024

2024 · Optimal Transport Concentration of Measure Transportation Inequalities
How to Reverse an SDE

4 min read · October 07, 2024

2024 · Sampling Diffusion Models
Convexity and Ricci Curvature

10 min read · October 07, 2024

2024 · Optimal Transportation Ricci Curvature Sampling Gradient Flows
Derivation of the Iterative Shrinkage and Thresholding Algorithm (ISTA)

4 min read · September 10, 2024

2024 · Convex Optimization Dictionary Learning Regularization