Lecture

Analysis of Trust Regions with Cauchy Steps

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In course

MATH-329: Continuous optimization

This course introduces students to continuous, nonlinear optimization. We study the theory of optimization with continuous variables (with full proofs), and we analyze and implement important algorithms to solve constrained and unconstrained problems. ...

Description

This lecture covers the analysis of trust regions with Cauchy steps, focusing on the conditions for convergence and the computation of the ratio of actual to model improvement. The instructor explains the concept of trust regions, the Cauchy step, and the process of accepting or rejecting tentative next iterates based on certain criteria. The lecture emphasizes the importance of always performing at least as well as Cauchy and provides insights into the implications of different scenarios on the optimization process.

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Instructor

Nicolas Boumal

Teaching & PhD PhD Students Andreea-Alexandra Musat Past EPFL PhD Students Christopher Criscitiello, Quentin Rebjock Courses Continuous optimization MATH-329 This course introduces students to continuous, nonlinear optimization. We study the theory of optimization with continuous variables (with full proofs), and we analyze and implement important algorithms to solve constrained and unconstrained problems. Linear Algebra MATH-111(e) The purpose of the course is to introduce

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