“れつきの臆病のせゐか、僕はあらゆる喜悦に不吉な予感を交へてゐた” ― 三島 由紀夫

Mathematical Foundation of Machine Learning (2025)

Reference: Mathematische Grundlagen des Maschinellen Lernens I, Hanno Gottschalk

Ⅰ.Probability Framework

Ⅱ.Statistical Learning

Ⅲ.F-Divergence

Ⅳ.Divergence from Information Theory and Comparison of Topologies

Ⅴ.Empirical Risk Minimization

Ⅵ.Subgaussian rv & Rate of Learning

Ⅶ.Rate of Convergence in ERM Learning

Ⅷ.Concentration Inequalities

Ⅸ.PAC-Learning for Histograms

Ⅹ.Clustering

Ⅺ.Introduction to Supervised Learning

Numerical Method for ODEs (2025)

References: [1]. Numerische Mathematik II, Sandra May [2]. Numerik gewöhnlicher Differentialgleichungen, Rolf Rannacher

Ⅰ.Introduction

Ⅱ.Runge-Kutta Method

Ⅲ.Numerical Stability

Ⅳ.Linear Multistep Method

Ⅴ.Extrapolation

Ⅵ.Boundary Value Problem