Fundamentals

Intelligent Systems

  • What Really Is Machine Learning?
  • AI vs ML vs Deep Learning
  • Types of Learning Problems
  • How Models Learn
  • The ML Workflow
  • Where ML Is Used Today

Basic Mathematics

  • Core Objects
  • Functions
  • Sequences & Series
  • Discrete Math

Logic & Proofs

  • Boolean Logic
  • Formal Logic
  • Proof Techniques

Linear Algebra

  • Vector Spaces
  • Matrix Operations
  • Transformations & Geometry
  • Decompositions

Spectral Methods

  • Eigenanalysis
  • Singular Value Decomposition
  • Matrix Factorizations

Matrix Calculus

  • Derivatives & Gradients
  • Second Order Methods
  • Calculus Rules

Probability

  • Random Variables
  • Core Distributions
  • Conditioning & Dependence
  • Joint Distributions

Statistics

  • Estimators
  • Likelihood Methods
  • Hypothesis Testing
  • Uncertainty Quantification

Information Theory

  • Entropy & Information
  • Divergences
  • Mutual Information

Numerical Computing

  • Floating Point & Stability
  • Computational Efficiency
  • Computation Graphs

Tools

  • Python Core
  • Scientific Computing
  • Data & Storage
  • Developer Tooling

Data Foundations

  • Data Cleaning
  • Feature Preparation
  • Splitting & Leakage
  • Data Versioning

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