Machine Learning & Artificial Intelligence · Machine Learning & Ensembles

Machine Learning: Foundations and Decision Theory — Advanced Reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction # Statistical Decision Theory

Overview

Topics covered

  • Introduction
  • Machine Learning Fundamentals and Decision Theory
  • 1. Mathematical Formalization of Supervised Learning
  • 2. Bayesian Decision Theory
  • 2.1 Derivation of the Bayes Predictor for Common Losses
  • Case 1: Quadratic Loss ( Loss) in Regression

Related concepts

Main connections

  • Regularization (Lasso / Ridge / Elastic Net)
  • Variance & standard deviation
  • Supervised machine learning
  • Overfitting & cross-validation
  • Bayes' theorem & priors
  • Bootstrap resampling

Compatible notation

Mathematical sample in LaTeX

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

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