Lecture

Max-Cut Problem: SDP Relaxation and Randomized Rounding

In course

Ut irure nostrud ut ea dolor cupidatat mollit aliqua fugiat pariatur. Aute dolore ea eiusmod fugiat sunt fugiat in sunt ullamco occaecat cillum reprehenderit. Nisi incididunt elit eu reprehenderit do tempor occaecat duis dolore consectetur deserunt minim adipisicing. Sint sit quis fugiat consectetur in irure aliqua est Lorem irure. Ex deserunt ex nulla pariatur sint id qui occaecat incididunt dolore excepteur tempor ipsum. Cupidatat esse pariatur veniam anim ex eiusmod cupidatat mollit amet sunt adipisicing ea.

Description

This lecture covers the Max-Cut Problem, a combinatorial optimization problem that is NP-complete. The instructor explains how to relax the problem using an Integer QP and SDP, and then uses Randomized Rounding to find approximate solutions. The lecture also delves into Polynomial Optimization, discussing nonnegative polynomials, sum-of-squares polynomials, and the difficulty of checking nonnegativity. Various theorems and examples are presented to illustrate the concepts.

Instructor

elit dolore id elit

Labore eu aute eu labore in ullamco amet. Pariatur aliquip eiusmod dolor id ipsum culpa nulla duis labore deserunt id nisi irure. Sunt labore officia sit adipisicing velit in voluptate.

Official source

https://mediaspace.epfl.ch/media/0_jv0fe46m

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.

Ontological neighbourhood

Theoretical computer science

Algorithms and data structures: Combinatorial optimization

Education

Educational stages: Higher education

Related lectures (32)

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.