“In mathematics you don’t understand things. You just get used to them.” - Von Neumann. It seems the same holds for everything. Read more 08 Jun 2026 - less than 1 minute read
[This is a brute-force way to compute the Laplacian in spherical coordinates.] Refs: “Advanced Engineering Mathematics” by Kreyszig. Youtube video: “Converting the Laplacian to Spherical Coords” by Todd Yilk. Link to the video: Link. [Spherical Coordinates] Recall Spherical Coordinates Note that spherical to c... Read more 07 Jun 2026 - 11 minute read
Ref: Coursera - University of Washington Machine Learning Course. Link to the course: Link. ROUGH NOTES (!) Updated: 7/6/26 MACHINE LEARNING We will consider MACHINE LEARNING: CASE STUDIES [Machine learning is changing the world] Old view of ML Data -> ML Algorithm -> “My curve is better than your curve” -> Write a paper. Int... Read more 03 Jun 2026 - 5 minute read
Link to Bridging AI courses: Link, Link. Read more 02 Jun 2026 - less than 1 minute read
[This is a heuristic explanation.] Ref: “Inference and Learning from Data” by Sayed. “A multivariate version of Stein’s identity” by Arnold, Castillo, Sarabia. Lem [Stein Lemma] Let ${ \mathbf{x} \in \mathbb{R} ^p }$ be a Gaussian random vector ${ \mathbf{x} \sim N(\overline{x}, R _x) }$ with ${ R _x > 0 . }$ Let ... Read more 26 May 2026 - 6 minute read