Prerequisite chain
Prerequisites for Stochastic Approximation Theory
Topics you need before working through Stochastic Approximation Theory. Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.
Direct prerequisites (5)
- Convex Optimization Basicslayer 1, tier 1
- Martingale Theorylayer 0B, tier 2
- Adaptive Learning Is Not IIDlayer 3, tier 2
- Borel-Cantelli Lemmaslayer 0B, tier 1
- Stochastic Gradient Descent Convergencelayer 2, tier 1
Reachable through the chain (55)
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.
- Differentiation in Rⁿlayer 0A, tier 1
- Sets, Functions, and Relationslayer 0A, tier 1
- Basic Logic and Proof Techniqueslayer 0A, tier 2
- 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
- Linear Independencelayer 0A, tier 1
- Common Inequalitieslayer 0A, tier 1
- Common Probability Distributionslayer 0A, tier 1
- Exponential Function Propertieslayer 0A, tier 1
- Integration and Change of Variableslayer 0A, tier 2
- Measure-Theoretic Probabilitylayer 0B, tier 1
- Cardinality and Countabilitylayer 0A, tier 2
- Kolmogorov Probability Axiomslayer 0A, tier 1
- Random Variableslayer 0A, tier 1
- Zermelo-Fraenkel Set Theorylayer 0A, tier 2
- Dynamic Programminglayer 0A, tier 1
- Graph Algorithms Essentialslayer 0A, tier 2
- Greedy Algorithmslayer 0A, tier 2
- GraphSLAM and Factor Graphslayer 3, tier 2
- Inverse and Implicit Function Theoremlayer 0A, tier 2
- The Jacobian Matrixlayer 0A, tier 1
- Positive Semidefinite Matriceslayer 0A, tier 1
- Eigenvalues and Eigenvectorslayer 0A, tier 1
- Inner Product Spaces and Orthogonalitylayer 0A, tier 1
- Matrix Normslayer 0A, tier 1
- Submodular Optimizationlayer 3, tier 3
- Taylor Expansionlayer 0A, tier 1
- The Hessian Matrixlayer 0A, tier 1
- Vector Calculus Chain Rulelayer 0A, tier 1
- Radon-Nikodym and Conditional Expectationlayer 0B, tier 1
- Concentration Inequalitieslayer 1, tier 1
- Expectation, Variance, Covariance, and Momentslayer 0A, tier 1
- Joint, Marginal, and Conditional Distributionslayer 0A, tier 1
- Triangular Distributionlayer 0A, tier 2
- Central Limit Theoremlayer 0B, tier 1
- Law of Large Numberslayer 0B, tier 1
- Modes of Convergence of Random Variableslayer 0B, tier 1
- Characteristic Functionslayer 1, tier 1
- Moment Generating Functionslayer 0A, tier 2
- Skewness, Kurtosis, and Higher Momentslayer 1, tier 1
- Gradient Descent Variantslayer 1, tier 1
- Coordinate Descentlayer 2, tier 2
- Mirror Descent and Frank-Wolfelayer 3, tier 2
- Convex Dualitylayer 2, tier 1
- Subgradients and Subdifferentialslayer 1, tier 1
- Online Convex Optimizationlayer 3, tier 2
- No-Regret Learninglayer 3, tier 2
- Projected Gradient Descentlayer 2, tier 2
- Proximal Gradient Methodslayer 2, tier 1
- Quasi-Newton Methodslayer 2, tier 1
- Newton's Methodlayer 1, tier 1
- Line Search Methodslayer 2, tier 2
- Secant Methodlayer 1, tier 2