Sketchy Polytopes | Sketchy Polytopes

Linear Algebra

A fearful sphere, whose center is everywhere

A fearful sphere, whose center is everywhere — In a beautiful article, The Mathematics of Doodling, Ravi Vakil poses two problems:

Continued Fractions

Continued Fractions —

First-order methods for stochastic optimization

First-order methods for stochastic optimization — Optimization, particularly deterministic (convex) optimization, is essential to many learning algorithms (regression, support vector machines, matrix factorization etc). This post discusses first-order/gradient-based optimization approaches that

Nonnegative Matrix Factorization, 1

Nonnegative Matrix Factorization, 1 — The aim of this post is to highlight the utility of non-negative factorization (NMF) in data analysis through examples. In a different post, we’ll talk

Fibonacci Numbers

Fibonacci Numbers — Two notes from Jiřì Matoušek’s book Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra 1, 2.