Lecture

Lipschitz Gradient Theorem

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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 Lipschitz gradient theorem, which states that for an arbitrary sequence X0, X, X2, the function f satisfies certain properties related to Lipschitz continuity and accumulation points. The theorem is presented with various mathematical expressions and examples, illustrating the conditions under which the function f meets the Lipschitz gradient criteria. The lecture also discusses the concept of strict and non-strict local minimizers, accumulation points, and saddle points in the context of function optimization.

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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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