S3P 2015 Tutorial 4
Signal Processing on Graphs: High dimensional data analysis on networks and irregular domains, Prof. Pascal Frossard and Prof. Pierre Vandergheynst, Ecole Polytechnique Fédérale de Lausanne (CH)
In applications such as social, energy, transportation, sensor, and neuronal networks, high-dimensional data naturally reside on the vertices of weighted graphs. The emerging field of signal processing on graphs merges algebraic and spectral graph theoretic concepts with computational harmonic analysis to process such signals on graphs. In this tutorial, we outline the main challenges of the area, discuss different ways to define graph spectral domains, which are the analogs to the classical frequency domain, and highlight the importance of incorporating the irregular structures of graph data domains when processing signals on graphs. We then review methods to generalize fundamental operations such as filtering, translation, modulation, dilation, and downsampling to the graph setting and survey the localized, multiscale transforms that have been proposed to efficiently extract information from high-dimensional data on graphs. We illustrate the benefits of the emerging field of graph signal processing in various applications and conclude with a discussion of open issues and possible extensions.
Pascal Frossard received the M.S. and Ph.D. degrees, both in electrical engineering, from the Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland, in 1997 and 2000, respectively. Between 2001 and 2003, he was a member of the research staff at the IBM T. J. Watson Research Center, Yorktown Heights, NY, where he worked on media coding and streaming technologies. Since 2003, he has been a faculty at EPFL, where he heads the Signal Processing Laboratory (LTS4). His research interests include graph signal processing and its applications to image representation and coding, visual information analysis, distributed image processing and communications.
Dr. Frossard has been the General Chair of IEEE ICME 2002 and Packet Video 2007. He has been the Technical Program Chair of IEEE ICIP 2014 and EUSIPCO 2008, and a member of the organizing or technical program committees of numerous conferences. He has been an Associate Editor of the IEEE TRANSACTIONS ON IMAGE PROCESSING (2010-2013), the IEEE TRANSACTIONS ON MULTIMEDIA (2004-2012), and the IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY (2006-2011). He is the Chair of the IEEE Image, Video and Multidimensional Signal Processing Technical Committee (2014-2015), and an elected member of the IEEE Visual Signal Processing and Communications Technical Committee (2006-) and of the IEEE Multimedia Systems and Applications Technical Committee (2005-). He has served as Steering Committee Chair (2012-2014) and Vice-Chair (2004-2006) of the IEEE Multimedia Communications Technical Committee and as a member of the IEEE Multimedia Signal Processing Technical Committee (2004-2007). He received the Swiss NSF Professorship Award in 2003, the IBM Faculty Award in 2005, the IBM Exploratory Stream Analytics Innovation Award in 2008 and the IEEE Transactions on Multimedia Best Paper Award in 2011.
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 Post-doctoral Researcher with the Signal Processing Laboratory, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. He has then been with EPFL as Assistant Professor (2002–2007), Associate Professor (2008-2014) and Full Professor since 2015. He currently acts also 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, sensor networks, computer vision. He was co-Editor-in-Chief of Signal Processing (2002–2006) and Associate Editor of the IEEE TRANSACTIONS ON SIGNAL PROCESSING (2007–2011), the flagship journal of the signal processing community. 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.