Lecture

Convergence Criteria: Necessary Conditions

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In course

CS-457: Geometric computing

This course will cover mathematical concepts and efficient numerical methods for geometric computing. We will explore the beauty of geometry and develop algorithms to simulate and optimize 2D and 3D geometric models with an emphasis towards computational d ...

Description

This lecture covers the convergence criteria for identifying minimum points in optimization problems. It explains the necessary conditions for convergence, such as stationary points and gradient properties. Additionally, it delves into second-order necessary conditions and practical convergence criteria, including popular tests and additional verification steps.

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Instructor

Mark Pauly

Mark Pauly is a full professor at the School of Computer and Communication Sciences at EPFL. Prior to joining EPFL, he was assistant professor at the CS department of ETH Zurich since April 2005. From August 2003 to March 2005 he was a postdoctoral scholar at Stanford University, where he also held a position as visiting assistant professor during the summer of 2005. He received his Ph.D. degree (with distinction) in 2003 from ETH Zurich and his M.S. degree (with highest honors) in 1999 from TU Kaiserslautern. His research interests include computer graphics and animation, shape modeling and analysis, geometry processing, architectural geometry, and digital fabrication. He received the ETH medal for outstanding dissertation, was awarded the Eurographics Young Researcher Award in 2006 and the Eurographics Outstanding Technical Contributions Award in 2016.

Official source

Ontological neighbourhood

Mathematics

Analysis: Calculus

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