Machine Learning & Artificial Intelligence · Artificial Intelligence & Deep Learning

Artificial Intelligence and Statistics: Epistemological Foundations and Mathematical Relationship

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Academic Reference

Overview

Topics covered

  • Introduction
  • The Relationship between Artificial Intelligence and Statistics From Classical Inference to Statistical and Representation Learning
  • 1. Epistemological Foundations of AI and Statistics
  • Historical Divergence and Conceptual Convergence
  • The Two Cultures of Leo Breiman
  • 2. Statistical Learning Theory (statistical learning theory)

Related concepts

Main connections

  • Regularization (Lasso / Ridge / Elastic Net)
  • Bayes' theorem & priors
  • Maximum likelihood estimation
  • Neural networks & deep learning
  • Variance & standard deviation
  • Normal (Gaussian) distribution

Compatible notation

Mathematical sample in LaTeX

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

ℛ(h)=𝔼(X,Y)∼P[L(h(X),Y)]=∫𝒳×𝒴L(h(x),y)dP(x,y)
View LaTeX source\mathcal{R}(h) = \mathbb{E}_{(X,Y) \sim P}[L(h(X), Y)] = \int_{\mathcal{X} \times \mathcal{Y}} L(h(x), y) \, \mathrm{d}P(x,y)