Data nowadays come in overwhelming volume. In order to cope with this deluge, we explore and use the benefits of geometry and symmetry in higher dimensional data. But volume is not the only problem: data models are also increasingly complex, mixing various components. We thus use redundant dictionaries as a dimensionality reduction tool to dig out information from complicated high-dimensional datasets and multichannel signals, or to model complex behaviours in more classical signals. Finally data can also be complex because they are collected on surfaces, or more generally manifolds, or because they are not scalar-valued. We thus explore extensions of Computational Harmonic Analysis in higher dimensions, in complex geometries or for non-scalar data.
Visit our lab web pages.
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.
LTS2 lab home page
Fields of expertise
computational harmonic analysis
Recent publications (2009-present)
|P. Frossard, P. Vandergheynst, R. Figueras i Ventura and M. Kunt
IEEE Transactions on Signal Processing, Vol. 52, No 2, February 2004
|A Posteriori Quantization of Progressive Matching Pursuit Streams|
|Hagmann P , Thiran J , Jonasson L , Vandergheynst P , Clarke S , Maeder P and Meuli R
, Neuroimage, Vol. 19, No 3, pp. 545-554, July 2003, 2003
|DTI mapping of human brain connectivity: statistical fibre tracking and virtual dissection|
|N. Aspert, T. Ebrahimi and P. Vandergheynst
Computer Aided Geometric Design, Vol. 20, No 3, 2003
|Non-linear subdivision using local spherical coordinates|
|Antoine J , Demanet L , Jacques L and Vandergheynst P
Appl. Comp. Harmonic Analysis, Vol. 13, No 3, pp. 177-200, November 2002, 2002
|Wavelets on the sphere : Implementation and approximations|
|Vandergheynst P and Frossard P
Signal Processing, Vol. 82, No 11, pp. 1517-1518, November (2002), 2002
|Special issue on image and video coding beyond standards|