Machine Learning & Artificial Intelligence · Artificial Intelligence & Deep Learning

Artificial Intelligence: Advanced Topics — Mathematical Specialization Treatise

Public introduction · full guide in Eikos

Introduction

What this guide covers

An analytical treatise on statistical learning theory, Hilbert spaces, generative models, high-dimensional non-convex optimization, and equivariant dynamical systems.

Overview

Topics covered

  • Introduction
  • Advanced Topics in Artificial Intelligence
  • VC Theory, Structural Complexity and Limits of Generalization
  • Rademacher complexity
  • Theory of Reproducible Kernels and Hilbert Spaces (RKHS)
  • Reproduction Property in Hilbert Spaces (RKHS)

Related concepts

Main connections

  • Calculus & differentiation
  • Linear algebra & matrices
  • Mathematical expectation & moments
  • Bayes' theorem & priors
  • Neural networks & deep learning
  • Normal (Gaussian) distribution

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

R(f)=𝔼(𝐱,y)∼P[𝕀(f(𝐱)≠y)]
View LaTeX sourceR(f) = \mathbb{E}_{(\mathbf{x}, y) \sim P} [\mathbb{I}(f(\mathbf{x}) \neq y)]