Bayesian Methods: The Heart of Modern AI

Welcome to Bayesian Methods.

While classical statistics asks “What does the data say?”, Bayesian statistics asks “How should the data change what I already believe?” This subtle shift is the foundation of modern spam filters, medical diagnostics, and recommendation engines.

In this module, we move from the basic theorem to full-blown inference, giving you the tools to model uncertainty in a chaotic world. You will learn why L2 Regularization works, how Ad Tech systems make decisions in milliseconds, and why “Cold Start” problems need Bayesian priors.

Bayesian Methods

[!NOTE] This module explores the core principles of Bayesian Methods, deriving solutions from first principles and hardware constraints to build world-class, production-ready expertise.

1. The Roadmap: Module 04

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Theorem
Priors & Posteriors
📈
Inference
MAP vs MLE
Conjugacy
Beta-Binomial

2. Module Contents

1. Bayes Theorem for ML

Understanding the formula that powers Naive Bayes. Interactive visualization of the “Base Rate Fallacy” in medical testing.

2. Bayesian Inference

Moving from single events to learning parameters. Watch the “Coin Flip Learner” update its beliefs in real-time.

3. Conjugate Priors

The computational shortcut that makes Bayesian methods fast. Interactive exploration of the Beta distribution.

Module Review

Flashcards, cheat sheet, and key takeaways to solidify your knowledge.