Probability & Statistics
Modeling Uncertainty
Machine Learning is not magic; it is Probability with a fancy name. In this module, we move from the deterministic world of “If-Else” to the probabilistic world of “Maybe”. —
Probability & Statistics
[!NOTE] This module explores the core principles of Probability & Statistics, deriving solutions from first principles and hardware constraints to build world-class, production-ready expertise.
1. The Roadmap: Module 03
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Axioms
Bayes' Theorem
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Distributions
Gaussian & Poisson
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Expectation
Variance & Covariance
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Testing
Hypothesis & P-Values
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Application
Naive Bayes Filter
2. Chapters
- Probability Axioms - The language of uncertainty.
- Distributions - The shape of data (Gaussian, Poisson).
- Expectation & Variance - Summarizing chaos.
- Hypothesis Testing - Signal vs Noise.
- Case Study: Naive Bayes - Building a Spam Filter.
- Module Review - Flashcards and Cheat Sheet.
Module Chapters
Chapter 01
Probability Basics: The Language of Uncertainty
Probability Basics: The Language of Uncertainty
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Chapter 02
The Zoo of Distributions
The Zoo of Distributions
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Chapter 03
Expectation, Variance, and Covariance
Expectation, Variance, and Covariance
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Chapter 04
Sampling & Hypothesis Testing
Sampling & Hypothesis Testing
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Chapter 05
Case Study: Naive Bayes Spam Classifier
Case Study: Naive Bayes Spam Classifier
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Chapter 06
Review & Cheat Sheet
Review & Cheat Sheet
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