Course

EE-312: Matrix analysis

Summary

Ce cours est pensé comme un second cours d'algèbre, ou un cours d'algèbre linéaire appliquée, conçu pour donner aux étudiant.e.s une vision intuitive des outils fondamentaux. Une emphase particulière sera donc placée sur la pratique et les concepts seront agrémentés de boites à outils numériques.

Lectures

Instructor

Pierre Vandergheynst

Pierre Vandergheynst received the M.S. degree in physics and the Ph.D. degree in mathematical physics from the Université catholique de Louvain, Louvain-la-Neuve, Belgium, in 1995 and 1998, respectively. From 1998 to 2001, he was a Postdoctoral Researcher with the Signal Processing Laboratory, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. He was Assistant Professor at EPFL (2002-2007), where he is now a Full Professor of Electrical Engineering and, by courtesy, of Computer and Communication Sciences. As of 2015, Prof. Vandergheynst serves as EPFL’s Vice-Provost for Education. His research focuses on harmonic analysis, sparse approximations and mathematical data processing in general with applications covering signal, image and high dimensional data processing, computer vision, machine learning, data science and graph-based data processing. He was co-Editor-in-Chief of Signal Processing (2002-2006), Associate Editor of the IEEE Transactions on Signal Processing (2007-2011), the flagship journal of the signal processing community and currently serves as Associate Editor of Computer Vision and Image Understanding and SIAM Imaging Sciences. He has been on the Technical Committee of various conferences, serves on the steering committee of the SPARS workshop and was co-General Chairman of the EUSIPCO 2008 conference. Pierre Vandergheynst is the author or co-author of more than 70 journal papers, one monograph and several book chapters. He has received two IEEE best paper awards. Professor Vandergheynst is a laureate of the Apple 2007 ARTS award and of the 2009-2010 De Boelpaepe prize of the Royal Academy of Sciences of Belgium.

Official source

Moodle Page

http://go.epfl.ch/EE-312

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Summary

Lectures

Instructor

Pierre Vandergheynst

Official source

Moodle Page

http://go.epfl.ch/EE-312

Lectures in this course (11)

Linear algebra in quantum mechanics Log in to Mediaspace to watch this video

Covers the application of linear algebra in quantum mechanics, focusing on states, superposition, measurements, and entangled states.

Matrices and Networks Log in to Mediaspace to watch this video

Explores the application of matrices and eigendecompositions in networks.

Linear Systems: Modeling and Identification Log in to Mediaspace to watch this video

Covers auto-encoders, linear systems modeling, system identification, and recursive least squares.

Tutorial On Auto-encoders Log in to Mediaspace to watch this video

Explores auto-encoders, covering invertibility conditions, projections, and generalized inverses in linear algebra.

Singular Value Decomposition Log in to Mediaspace to watch this video

Explores Singular Value Decomposition, low-rank approximation, fundamental subspaces, and matrix norms.

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