Workshop May 17-21 2010
Probability & Geometry in High Dimensions
Université Paris-Est Marne-la-Vallée
Laboratoire d'Analyse et de Mathématiques Appliquées
The aim of this workshop is to reflect on recent developments in Probability
and Geometry in High Dimensions with emphasis on interactions with other
fields of mathematics such as compressed sensing, sparse statistical problems,
random matrices, and empirical processes.
The workshop will take place on the campus of
Université Paris-Est Marne-la-Vallée.
Schedule and participants
- The workshop will start on Monday May 17 at 09:45 (Welcome)
- The first talk will start on Monday May 17 at 10:30
- Tuesday afternoon will be free
- The last talk will finish at 13:05 Friday, May 21.
Slides
Below the talks slides (or articles) in PDF. The order follows the workshop schedule.
- Vladimir Koltchinskii (Georgia Institute of Technology, Atlanta, USA)
Sparse Recovery in Linear Spans and Convex Hulls of Infinite Dictionaries
- Jared Tanner
(University of Edinburgh, Edinburgh, Scotland)
Random matrix theory and stochastic geometry in compressed sensing
- Omer Friedland
(Université Pierre et Marie Curie, Paris, France)
Random embedding of ell_p^n into ell_r^N
- Philippe Jaming
(Université d'Orléans, Orléans, France)
Some annihilating pairs in harmonic analysis
- Francis Bach
(INRIA & ÉNS, Paris, France)
High-Dimensional Non-Linear Variable Selection
- Radosław Adamczak (University of Warsaw, Warsaw, Poland)
Geometric properties of random matrices with independent log-concave rows/columns
- Leonid Pastur
(Mathematical Division, Institute for Low Temperatures, Kharkiv, Ukraine)
Central Limit Theorem for Linear Eigenvalue Statistics of Random Matrices with Independent Entries
- Alexandre Tsybakov (CREST & Université Pierre et Marie Curie, Paris, France)
Estimation of High-Dimensional Low Rank Matrices
- Rafał Latała
(Warsaw University, Warsaw, Poland)
On 1-symmetric logarithmically concave distributions
- Ionel Popescu
(Georgia Institute of Technology, Atlanta, USA)
Random Matrices and Analyticity of the Planar Limit
- Michel Talagrand (CNRS & Université Pierre et Marie Curie, Paris, France)
Are many small sets explicitely small?
- Stanislaw J. Szarek (Université Pierre et Marie Curie, Paris, France)
Almost-Euclidean subspaces of ell_1^N via tensor products: a low-tech approach to randomness reduction
- Holger Rauhut
(Universität Bonn, Bonn, Germany)
Compressive Sensing and Structured Random Matrices
- Charles Dossal
(Université de Bordeaux 1, Bordeaux, France)
Support identification of sparse vectors from random noisy measurements
- Franck Barthe
(Université Paul-Sabatier, Toulouse, France)
Convergence of bipartite functionals in many dimensions
- Ronald Devore
(University of South Carolina, Columbia, USA)
Approximating and Querying Functions in High Dimensions
- Shahar Mendelson (Technion, Haïfa, Israël)
On weakly bounded empirical processes
- Artem Zvavitch
(Kent State University, Kent, USA)
The iterations of intersection body operator
- Boris Kashin
(Steklov Mathematical Institute, Moscow, Russia)
On the uniform approximation of the partial sum of the Dirichlet series by a shorter sum
- Keith Ball
(University College London, London, Great Britain)
Noise sensitivity and Gaussian surface area
- Shuheng Zhou
(ETH, Zürich, Swiss)
Thresholded Lasso for High Dimensional Variable Selection and Statistical Estimation
- Krzysztof Oleszkiewicz (Warsaw University, Warsaw, Poland)
L^1-smoothing for the multi-dimensional Ornstein-Uhlenbeck semigroup
- Roman Vershynin
(University of Michigan, Ann Arbor, USA)
Estimation of covariance matrices
- Sandrine Péché (Université de Grenoble, Grenoble, France)
The spectrum of non white sample covariance matrices
- Grigoris Paouris (Texas A&M University, College Station, USA)
On the existence of a subgaussian direction on log-concave measures
- Assaf Naor
(Courant Institute & University of New-York, New-York, USA)
Random martingales and localization of maximal inequalities
Accomodations
Be sure to book your hotel very early (at least a month in advance), since accomodations in Paris or near the university are difficult to find. It is recommended to select a hotel close to RER line A.
Location and directions
The Paris-Est Marne-la-Vallée Campus (Cité
Descartes) encompasses among other structures the
department of mathematics of the
University, located in the Copernic building. The workshop will take place
in the Auditorium of the Copernic building.
Coming from Paris by RER line A, get off the train at the station NOISY-CHAMPS
(the best is to get off from the station at the head of the train when coming
from Paris). See the RATP website for
RER/Metro connexions and schedules. The Copernic building is accessible in few
minutes from the RER station NOISY-CHAMPS.
Campus map
RER line A. Get off the train at station Noisy-Champs.
The best is to get off from the head of the train when coming from Paris.
General map of the area
Organizers
Djalil Chafaï (UMLV),
Olivier Guédon (UMLV),
Guillaume Lecué (CNRS & UMLV),
Alain Pajor (UMLV)
For any help, in particular for registration or lodging, please contact our assistant:
Christiane Lafargue
Phone: +33(0)1.60.95.75.20
Fax: +33(0)1.60.95.75.45
E-mail: christiane.lafargue@univ-mlv.fr
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