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SUMMARY:IC Mondays seminars - Compressed sensing
DTSTART:20100531T161500
DTSTAMP:20260406T162943Z
UID:0540570cccc09f1e6d514fdff611e17471db744ba12b813f26b282cb
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Gabriel Peyre\, University of Paris-Dauphine\nAbstract:\nC
 ompressed sensing (CS) is a new strategy to sample complicated data such a
 s audio signals or natural images. Instead of performing a pointwise evalu
 ation using localized sensors\, signals are projected on a small number of
  delocalized random vectors. This talk is intended to give an overview of 
 this emerging technology. It will cover both theoritical guarantees and pr
 actical applications in image processing and numerical analysis.\n\nThe in
 itial theory of CS was jointly developed by Donoho and Candès\, Romberg a
 nd Tao. It makes use of the sparsity of signals to minimize the number of 
 random measurements. Natural images are for instance well approximated usi
 ng a few number of wavelets\, and this sparsity is at the heart of the non
 -linear reconstruction process.\n\nI will discuss the extent to which the 
 current theory captures the practical success of CS. I will pay a particul
 ar attention to the worse case analysis of the recovery\, and perform a no
 n-asymptotic evaluation of the performances. To obtain better recovery gua
 rantees\, I propose a probabilistic analysis of the recovery of the sparsi
 ty support of the signal\, which leads to constants that are explicit and 
 small. I will also discuss the application of CS to numerical analysis.\n\
 nBiography:\nGabriel Peyré graduated from Ecole Normale Supérieure de Ca
 chan\, France\, in 2003 and received his Ph.D in applied mathematics from
  école Polytechnique\, Paris\, France\, in 2005. His research interests 
 include geometrical representations for image processing with applications
  in computer and biological vision.\n\nGabriel Peyré worked with Stéphan
 e Mallat on image compression with bandlets during his Ph.D. Since 2006\,
  he has been a Researcher at the Centre Nationale de Recherche Scientifiq
 ue (CNRS)\, working in Ceremade\, University Paris-Dauphine. Since 2005 G
 abriel Peyré has co-authored 15 papers in international journals\, 30 co
 nference proceedings in top vision and image processing conferences\, and 
 two books. He was the main contributor of the 3rd edition of the book "Wa
 velet tour of signal processing" of S. Mallat. He is the creator of the "
 Numerical tour of signal processing"\, a popular online repository of Matl
 ab/Scilab ressources to teach modern signal and image processing.
LOCATION:INM 202
STATUS:CONFIRMED
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