convex functions
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- Parallel Transport of VectorsInformation Geometry and its ApplicationsNotes
- Tangent space, basis vectors, and Riemannian metricInformation Geometry and its ApplicationsNotes
- Affine and dual affine coordinate systemsInformation Geometry and its ApplicationsNotes
- Legendre transform of convex functions and Bregman divergenceInformation Geometry and its ApplicationsNotes
- Convex functions and Bregman divergence: Examples of Bregman divergenceInformation Geometry and its ApplicationsNotes
- Convex functions and Bregman divergence: Bregman divergenceInformation Geometry and its ApplicationsNotes
- Convex functions and Bregman divergence: Convex functionsInformation Geometry and its ApplicationsNotes
- Examples of divergenceInformation Geometry and its ApplicationsNotes
- Divergence between two pointsInformation Geometry and its ApplicationsNotes
- Manifolds of probability distributions: Discrete distributionsInformation Geometry and its ApplicationsNotes
- Manifolds of probability distributions: Gaussian distributionsInformation Geometry and its ApplicationsNotes
- Information geometry and mechanicsInformation Geometry and its ApplicationsNotes
- An overview of information geometryInformation Geometry and its ApplicationsNotes
- Discrete Geometric Mechanics, Information Geometry, Accelerated Optimization and Machine LearningInformation Geometry and its ApplicationsNotes
- Manifolds, charts, and atlasesInformation Geometry and its ApplicationsNotes
- 1.1 Introduction to Optimization and to MeOptimization AlgorithmsNotes
- 1.2 What these Lectures do and do not coverOptimization AlgorithmsNotes
- 3.1 Intro to Gradient and Subgradient DescentOptimization AlgorithmsNotes
- 3.4 Convergence RatesOptimization AlgorithmsNotes
- 3.3 Properties of Smooth and Strongly Convex FunctionsOptimization AlgorithmsNotes
- 1.3 Some First ExamplesOptimization AlgorithmsNotes
- 2.5 Optimality Conditions for Convex OptimizationOptimization AlgorithmsNotes
- 4.1 Oracle Lower BoundsOptimization AlgorithmsNotes
- 3.2 Smooth and Strongly Convex FunctionsOptimization AlgorithmsNotes
- 2.6 Optimality Conditions and ProjectionOptimization AlgorithmsNotes
- Mod-01 Lec-01 IntroductionComputer - Numerical OptimizationNotes
- Mod-02 Lec-02 Mathematical BackgroundComputer - Numerical OptimizationNotes
- Mod-02 Lec-03 Mathematical Background (contd)Computer - Numerical OptimizationNotes
- Mod-06 Lec-11 Line Search TechniquesComputer - Numerical OptimizationNotes
- Mod-06 Lec-12 Global Convergence TheoremComputer - Numerical OptimizationNotes
- Mod-03 Lec-05 One Dimensional Optimization (contd)Computer - Numerical OptimizationNotes
- Mod-04 Lec-06 Convex SetsComputer - Numerical OptimizationNotes
- Mod-04 Lec-07 Convex Sets (contd)Computer - Numerical OptimizationNotes
- Mod-05 Lec-08 Convex FunctionsComputer - Numerical OptimizationNotes
- Mod-05 Lec-09 Convex Functions (contd)Computer - Numerical OptimizationNotes
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