Prerequisite chain
Prerequisites for Gaussian Mixture Models and EM
Topics you need before working through Gaussian Mixture Models and EM. Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.
Direct prerequisites (3)
- K-Means Clusteringlayer 1, tier 1
- The EM Algorithmlayer 2, tier 1
- Maximum Likelihood Estimation: Theory, Information Identity, and Asymptotic Efficiencylayer 0B, tier 1
Reachable through the chain (16)
These topics are not directly cited as prerequisites but are reached transitively by following the chain upward. Working through the direct prerequisites pulls these in.
- Common Probability Distributionslayer 0A, tier 1
- Sets, Functions, and Relationslayer 0A, tier 1
- Basic Logic and Proof Techniqueslayer 0A, tier 2
- Convex Optimization Basicslayer 1, tier 1
- Differentiation in Rnlayer 0A, tier 1
- Vectors, Matrices, and Linear Mapslayer 0A, tier 1
- Continuity in Rⁿlayer 0A, tier 1
- Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
- Matrix Operations and Propertieslayer 0A, tier 1
- Central Limit Theoremlayer 0B, tier 1
- Law of Large Numberslayer 0B, tier 1
- Random Variableslayer 0A, tier 1
- Kolmogorov Probability Axiomslayer 0A, tier 1
- Expectation, Variance, Covariance, and Momentslayer 0A, tier 1
- KL Divergencelayer 1, tier 1
- Information Theory Foundationslayer 0B, tier 2