MATH-CS COMPASS

MATH-CS COMPASS is an educational platform bridging pure mathematics and computer science, with a focus on the mathematical foundations of modern AI and machine learning. The website offers rigorous, structured content across five sections: I - Linear Algebra to Algebraic Foundations From vector spaces and eigenvalues to abstract algebra, field theory, and Lie groups. II - Calculus to Optimization & Analysis From gradient descent and measure theory to topology, functional analysis, and Lp spaces. III - Probability & Statistics From Bayesian inference and Markov chains to measure-theoretic probability. IV - Discrete Mathematics & Algorithms From graph theory and computational complexity to simplicial complexes and homology. V - Machine Learning Neural networks, SVMs, VAEs, natural gradient descent, and more — where mathematical foundations meet practice. Navigate all topics through the Interactive Knowledge Map, guided by Tessera, your learning companion. The companion app includes: - Fragment Archive: Over 100 episodes from the history of mathematics and computer science, connected through an interactive timeline - 7 educational mini-games covering transformations, distributions, Bayesian inference, series, and more - Notes with a math keyboard (197 symbols) and LaTeX rendering - Achievements tracking across all games - BGM and sound effects Founded by Yusuke Yokota. Content is regularly updated.