Prerequisite chain
Prerequisites for Stochastic Calculus for ML
Topics you need before working through Stochastic Calculus for ML. Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.
Direct prerequisites (3)
- Martingale Theorylayer 0B, tier 2
- Measure-Theoretic Probabilitylayer 0B, tier 1
- Classical ODEs: Existence, Stability, and Numerical Methodslayer 1, tier 1
Reachable through the chain (12)
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.
- Cardinality and Countabilitylayer 0A, tier 2
- Sets, Functions, and Relationslayer 0A, tier 1
- Basic Logic and Proof Techniqueslayer 0A, tier 2
- Integration and Change of Variableslayer 0A, tier 2
- Kolmogorov Probability Axiomslayer 0A, tier 1
- Random Variableslayer 0A, tier 1
- Zermelo-Fraenkel Set Theorylayer 0A, tier 2
- Continuity in Rⁿlayer 0A, tier 1
- Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
- The Jacobian Matrixlayer 0A, tier 1
- Differentiation in Rⁿlayer 0A, tier 1
- Vectors, Matrices, and Linear Mapslayer 0A, tier 1