Lecture

Objective function, Gradient and descent

Description

This lecture explores the concept of gradient in relation to the geometry of a function, focusing on descent directions and the properties they exhibit. It delves into the theoretical arguments provided by Taylor's theorem, illustrating how following a descent direction can lead to a reduction in the function's value. The lecture also discusses the relationship between the gradient and convexity, highlighting how the gradient can provide insights into the convexity of a function.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.