Machine Learning & Artificial Intelligence · Machine Learning & Ensembles

Advanced Machine Learning and Bayesian Inference — Expert Level Reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Rigorous Treatment · Mathematical Inference

Overview

Topics covered

  • Introduction
  • Advanced Machine Learning and Bayesian Inference
  • Epistemology and Foundations of Bayesian Inference
  • Bayes' Theorem in Continuous Spaces
  • Families of Conjugated Priors
  • Study Case 1: Beta-Binomial Update

Related concepts

Main connections

  • Bayes' theorem & priors
  • Markov chain Monte Carlo (MCMC)
  • Variance & standard deviation
  • Normal (Gaussian) distribution
  • Maximum likelihood estimation
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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

p(θ∣𝒟)=p(𝒟∣θ)p(θ)p(𝒟)=p(𝒟∣θ)p(θ)∫Θp(𝒟∣θ')p(θ')dθ'
View LaTeX sourcep(\theta \mid \mathcal{D}) = \frac{p(\mathcal{D} \mid \theta) \, p(\theta)}{p(\mathcal{D})} = \frac{p(\mathcal{D} \mid \theta) \, p(\theta)}{\int_{\Theta} p(\mathcal{D} \mid \theta') \, p(\theta') \, d\theta'}