Media Summary: Convergence analysis and constrained optimization Course logistics and introduction to optimization Relative smooth and strongly convex. Examples.

Dscc 435 Opt For Ml - Detailed Analysis & Overview

Convergence analysis and constrained optimization Course logistics and introduction to optimization Relative smooth and strongly convex. Examples. Projection, convergence analysis, and subgradient Primal gradient and dual averaging methods High probability result of stochastic subgradient method under sub-Gaussian assumptionĀ ...

Proximal mapping, Moreau envelope, and composite optimization Pointwise and ergodic convergence, saddle point problem, and Chabolle-Pock method. Chambolle-Pock as IPP, dual ascent, method of multipliers, ADMM as IPP. Understanding Frank-Wolfe as accelerated gradient without acceleration. IPP framework convergence and examples. Monotone operator and generalized IPP framework convergence. Geometric interpretation, convex analysis, and convergence analysis

Connection between sampling and stochastic optimization. Approximation error in SAA.

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DSCC 435 OPT for ML - 15 Alternating Direction Method of Multipliers
DSCC 435 OPT for ML - 4 Gradient Method
DSCC 435 OPT for ML - 1 Introduction
DSCC 435 OPT for ML - 17 Optimization in Relative Scale: Definitions and Examples
DSCC 435 OPT for ML - 9 Accelerated Gradient Method
DSCC 435 OPT for ML - 5 Projected Gradient Method
DSCC 435 OPT for ML - 18 Optimization in Relative Scale: Algorithms
DSCC 435 OPT for ML - 3 Complexity
DSCC 435 OPT for ML - 25 Stochastic Approximation - High Probability
DSCC 435 OPT for ML - 6 Subgradient Method
DSCC 435 OPT for ML - 16 Smoothing
DSCC 435 OPT for ML - 8 Proximal Gradient Method
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