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ICERM Semester Program on "High-dimensional Approximation"
(September 8, 2014 - December 5, 2014)

CLICK HERE TO PARTICIPATE
Review of applications will begin on March 15, 2014
Organizing Committee

Introduction

The fundamental problem of approximation theory is to resolve a possibly complicated function, called the target function, by simpler, easier to compute functions called approximants. Increasing the resolution of the target function can generally only be achieved by increasing the complexity of the approximants. The understanding of this trade-off between resolution and complexity is the main goal of approximation theory, a classical subject that goes back to the early results on Taylor's and Fourier's expansions of a function.

Modern problems in approximation, driven by applications in biology, medicine, and engineering, are being formulated in very high dimensions, which brings to the fore new phenomena. One aspect of the high-dimensional regime is a focus on sparse signals, motivated by the fact that many real world signals can be well approximated by sparse ones. The goal of compressed sensing is to reconstruct such signals from their incomplete linear information. Another aspect of this regime is the "curse of dimensionality" for standard smoothness classes, which means that the complexity of approximation depends exponentially on dimension. An important step in solving multivariate problems with large dimension has been made in the last 20 years: sparse representations are used as a way to model the corresponding function classes. This approach automatically entails a need for nonlinear approximation, and greedy approximation, in particular.

This program addresses a broad spectrum of approximation problems, from the approximation of functions in norm, to numerical integration, to computing minima, with a focus on sharp error estimates. It will explore the rich connections to the theory of distributions of point-sets in both Euclidean settings and on manifolds and to the computational complexity of continuous problems. It will address the issues of design of algorithms and of numerical experiments. The program will attract researchers in approximation theory, compressed sensing, optimization theory, discrepancy theory, and information based complexity theory.




Associated Events & Information

This page will show upcoming seminars that will be scheduled by organizers, speakers, and participants of the Fall 2014 semester program. Walk-ins are welcomed and encouraged for these seminars. Please check back regularly for updates.

We provide an iCal link for those attendees who wish to sync their own devices and/or calendars to our schedule.


MondaySeptember 8, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 5:00ICESemester program on "High-dimensional Approximation" beginsVisitors are welcome to arrive at ICERM anytime after 9:00AM

TuesdaySeptember 9, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
10:00 - 10:05Semester Program Opening Welcome Jill Pipher, ICERM11th Floor Lecture Hall
10:05 - 10:35Informal Faculty Introductions 11th Floor Lecture Hall
10:35 - 1:30Break for Lunch
1:30 - 2:00Postdoc IntroductionUlas Ayaz, Rheinische Friedrich-Wilhelms-Universität Bonn11th Floor Lecture Hall
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2:00 - 2:30Postdoc IntroductionJacque Davis, Vanderbilt University11th Floor Lecture Hall
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2:30 - 3:00Coffee/Tea Break11th Floor Collaborative Space
3:00 - 3:30Postdoc IntroductionAli Ahmed, Georgia Institute of Technology11th Floor Lecture Hall
3:30 - 4:00Postdoc IntroductionPawel Siedlecki, University of Warsaw11th Floor Lecture Hall
4:00 - 4:30Postdoc IntroductionLi Wang, University of California, San Diego11th Floor Lecture Hall
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4:45 - 6:15Light Reception/Welcome11th Floor Collaborative Space

WednesdaySeptember 10, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
2:30 - 3:30Informal Graduate Student IntroductionAlexander Gilbert, Mario Hefter, Robert Kunsch, Yingwei Wang, Houying Zhu, Glenn Byrenheid11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

ThursdaySeptember 11, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 10:00Job Applications in AcademiaJill Pipher, ICERM11th Floor Lecture Hall
10:00 - 11:00IT Tutorial Isani Cayetano, ICERM Technical Support Coordinator11th Floor Lecture Hall
11:00 - 1:30Break for Lunch
1:30 - 2:15Introduction to Information Based Complexity Henryk Wozniakowski, Columbia University11th Floor Lecture Hall
2:30 - 3:15Introduction to Stochastic ComputationKlaus Ritter, Universität Kaiserslautern11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

FridaySeptember 12, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
12:00 - 1:30Break for Lunch
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space

MondaySeptember 15, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:30Infinite-dimensional integration by the multivariate decomposition method (MDM)Ian Sloan, University of New South Wales11th Floor Lecture Hall
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9:45 - 10:15Tractability using periodized generalized Faure sequencesChristiane Lemieux, University of Waterloo11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:30Adaptive algorithms for stochastic computationFred Hickernell, Illinois Institute of Technology11th Floor Lecture Hall
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11:45 - 12:15Constructive tractability for the Helmholtz equationArt Werschulz, Fordham University11th Floor Lecture Hall
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12:30 - 2:45Break for Lunch
2:45 - 3:15An upper bound on complexity of optimization for Gaussian random fieldsJames Calvin, New Jersey Institute of Technology11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:30Two topics in parametric integration applied to stochastic simulation in industrial engineeringJeremy Staum, Northwestern University11th Floor Lecture Hall
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5:00 - 6:30Welcome Reception11th Floor Collaborative Space

TuesdaySeptember 16, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:30Quadrature for self-similar distributions on R^dThomas Müller-Gronbach, Universitat Passau11th Floor Lecture Hall
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9:45 - 10:15Regularity of SDEs with non-globally Lipschitz continuous coefficientsSonja Cox, Eidgenössische TH Hönggerberg11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:30On a mild Ito formula for stochastic partial differential equations (SPDEs) and on weak convergence rates for SPDEs with nonlinear diffusion coefficientsArnulf Jentzen, Eidgenössische TH Hönggerberg11th Floor Lecture Hall
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11:45 - 12:15Embeddings of Weighted Tensor Product SpacesMario Hefter, Universitat Kaiserslautern11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch
2:30 - 3:00Multilevel Monte Carlo methods for discontinuous payoffs in the Heston modelAndreas Neuenkirch, Universität Mannheim11th Floor Lecture Hall
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3:15 - 3:45Preasymptotic estimates for approximation of multivariate Sobolev functionsThomas Kühn, Universität Leipzig11th Floor Lecture Hall
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4:00 - 6:00Poster Session and Dessert Reception11th Floor Collaborative Space

WednesdaySeptember 17, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:30Optimal quasi-Monte Carlo rules on higher order digital nets for numerical integration of multivariate periodic functionsAicke Hinrichs, Universität Rostock11th Floor Lecture Hall
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9:45 - 10:15Approximation of additive random fieldsMarguerite Zani, Université d'Orléans11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:30Optimal algorithms for doubly weighted approximation of smooth functionsLeszek Plaskota, University of Warsaw11th Floor Lecture Hall
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11:45 - 12:15Generalized multilevel methods for accelerating hierarchical stochastic collocation approximations of PDEs with random input dataClayton Webster, Oak Ridge National Laboratory11th Floor Lecture Hall
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12:15 - 12:20Workshop Group Photo
12:30 - 2:15Break for Lunch
2:15 - 2:45Tractability of multivariate integration in Hermite spacesFriedrich Pillichshammer, Johannes Kepler Universität Linz11th Floor Lecture Hall
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3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space
3:30 - 4:00A dynamic near-optimal algorithm for online linear programmingYinyu Ye, Stanford University11th Floor Lecture Hall
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4:15 - 4:45Complexity of Banach Space Valued and Parametric Stochastic Ito IntegrationThomas Daun, Universitat Kaiserslautern11th Floor Lecture Hall
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ThursdaySeptember 18, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:30On the complexity of first order PDEsStefan Heinrich, Universität Kaiserslautern11th Floor Lecture Hall
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9:45 - 10:15Deterministic quadrature rules for marginals of SDEs based on weak Ito-Taylor stepsLarisa Yaroslavtseva, Universität Passau11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:30Optimal approximation of Sobolev functions in the L2 and in the supremum normWinfried Sickel, Friedrich-Schiller-Universität11th Floor Lecture Hall
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11:45 - 12:15A reduced fast component-by-component construction of (polynomial) lattice pointsPeter Kritzer, Johannes Kepler Universität Linz11th Floor Lecture Hall
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12:30 - 2:45Break for Lunch
2:45 - 3:15A refined classification of problems with (sub)exponential information-based complexityPawel Siedlecki, University of Warsaw11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:30Randomized algorithms on the approximation of rank one tensorsDaniel Rudolf, Friedrich-Schiller-Universität11th Floor Lecture Hall
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FridaySeptember 19, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:30Error analysis for multivariate and infinite-dimensional integration with respect to different underlying normsMichael Gnewuch, Christian-Albrechts Universität Kiel11th Floor Lecture Hall
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9:45 - 10:15High-dimensional and infinite-dimensional hyperbolic crosses and their applications in approximation and uncertainty quantificationDinh Dung, Vietnam National University11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:30Approximation in cosine space using tent-transformed lattice rulesDirk Nuyens, Katholieke Universiteit Leuven11th Floor Lecture Hall
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11:45 - 12:15Constructing quasi-Monte Carlo methods for high dimensional integrals over the Euclidean space and applicationsFrances Kuo, University of New South Wales11th Floor Lecture Hall
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12:30 - 5:00Afternoon open for collaboration

MondaySeptember 22, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
3:30 - 4:00Coffee Break11th Floor Collaborative Space

TuesdaySeptember 23, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
10:00 - 11:00Some Complexity Results for Numerical IntegrationErich Novak, Friedrich-Schiller-Universität11th Floor Lecture Hall
2:30 - 4:00Postdoc Seminar11th Floor Conference Room
3:30 - 4:00Coffee Break11th Floor Collaborative Space

WednesdaySeptember 24, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
3:30 - 4:00Coffee Break11th Floor Collaborative Space

ThursdaySeptember 25, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 10:00Professional development: Ethics in research IMandatory for NSF supported postdocs and graduate students.11th Floor Lecture Hall
3:30 - 4:00Coffee Break11th Floor Collaborative Space

FridaySeptember 26, 2014
TimeDescriptionSpeakerLocationAbstractsSlides
3:30 - 4:00Coffee Break11th Floor Collaborative Space

**Long-Term Participants
View in-residence dates for long-term visitors
  • Ben Adcock
    (Simon Fraser University)
  • Ali Ahmed **
    (Georgia Institute of Technology)
  • Christoph Aistleitner
    (Technische Universität Graz)
  • Akram Aldroubi
    (Vanderbilt University)
  • Anat Amir
    (Tel Aviv University)
  • Rick Archibald **
    (Oak Ridge National Laboratory)
  • Semeon Artamonov
    (Rutgers University)
  • Amir Averbuch **
    (Tel Aviv University)
  • Ulas Ayaz **
    (Rheinische Friedrich-Wilhelms-Universität Bonn)
  • Marcus Bachmayr
    (RWTH Aachen)
  • Radu Balan **
    (University of Maryland)
  • Tom Banchoff
    (Brown University)
  • Afonso Bandeira
    (Princeton University)
  • Nikhil Bansal
    (Technische Universiteit Eindhoven)
  • Karin Baur
    (Karl-Franzens-Universität Graz)
  • Daurenbek Bazarkhanov
    (Institute of Mathematics&Math Modeling)
  • József Beck
    (Rutgers University)
  • Dori Bejleri
    (Brown University)
  • Emanuel Bendavid
    (Columbia University)
  • Amit Bermanis **
    (Tel Aviv University)
  • Oleksandra Beznosova
    (Baylor University)
  • Dmitriy Bilyk **
    (University of Minnesota)
  • Alexander Bobenko
    (Technische Universität Berlin )
  • Sergiy Borodachov
    (Towson State University)
  • Sofiane Bouarroudj
    (New York University)
  • Glenn Byrenheid **
    (Rheinische Friedrich-Wilhelms-Universität Bonn)
  • Philippe Caldero
    (Université Claude-Bernard (Lyon I))
  • James Calvin
    (New Jersey Institute of Technology)
  • Eric Cances
    (Ecole Nationale des Ponts et Chaussees)
  • Emmanuel Candes **
    (Stanford University)
  • Venkat Chandrasekeran
    (California Institute of Technology)
  • Rajeev Kumar Chauhan
    (University of Texas at Austin)
  • KALPANA CHAUHAN
    (IIT ROORKEE)
  • William Chen **
    (Macquarie University)
  • Yanlai Chen
    (University of Massachusetts)
  • Peter Chin
    (Boston University)
  • Ole Christensen
    (Technical University of Denmark)
  • Albert Cohen
    (Université de Paris VI (Pierre et Marie Curie))
  • Paul Constantine
    (Colorado School of Mines)
  • Sonja Cox
    (Eidgenössische TH Hönggerberg)
  • Mark Crovella
    (Boston University)
  • Jim Curry
    (National Science Foundation)
  • Seyed Hamid Reza Dadkhahi
    (University of Massachusetts)
  • Wolfgang Dahmen
    (RWTH Aachen)
  • Thomas Daun
    (Universität Kaiserslautern)
  • Mark Davenport
    (Georgia Institute of Technology)
  • Jacqueline Davis **
    (Vanderbilt University)
  • Ronald DeVore
    (Texas A&M International University (TAMIU))
  • Jeremy Dewar
    (Tulane University)
  • Josef Dick
    (University of New South Wales)
  • Philippe di Francesco
    (Commissariat à l'Énergie Atomique Saclay (CEA))
  • Yuhan Ding
    (Illinois Institute of Technology)
  • Francesco Di Plinio
    (Brown University)
  • Benjamin Doerr
    (Max-Planck-Institut für Informatik)
  • Carola Doerr
    (Max-Planck-Institut für Informatik)
  • Alireza Doostan
    (University of Colorado)
  • Dinh Dung **
    (Vietnam National University)
  • Xuan Thinh Duong
    (Macquarie University)
  • Nira Dyn
    (Tel Aviv University)
  • Nicholas Early
    (Pennsylvania State University)
  • Armin Eftekhari **
    (Colorado School of Mines)
  • Fariba Fahroo
    (DARPA)
  • Henri Faure
    (Aix-Marseille University)
  • Maryam Fazel
    (University of Washington)
  • Vladimir Fock
    (Université de Strasbourg I (Louis Pasteur))
  • Sergey Fomin
    (University of Michigan)
  • Simon Foucart **
    (University of Georgia)
  • Christopher Fraser
    (University of Michigan)
  • Frank (Fuchang) Gao
    (University of Idaho)
  • Alexander Garver
    (University of Minnesota)
  • Milana Gataric **
    (University of Cambridge)
  • Michael Gekhtman
    (University of Notre Dame)
  • Anne Gelb
    (Arizona State University)
  • Omar Ghattas
    (University of Texas at Austin)
  • Alexander Gilbert **
    (University of New South Wales)
  • Max Glick
    (University of Minnesota)
  • Michael Gnewuch **
    (Christian-Albrechts Universität Kiel)
  • John Golden
    (Brown University)
  • Alexander Goncharov
    (Yale University)
  • Michael Griebel
    (Institute for Numerical Simulation )
  • Karlheinz Gröchenig
    (Universität Wien)
  • Philipp Grohs
    (ETH)
  • Felix Günther
    (Technische Universität Berlin )
  • C. Gunturk **
    (Courant Institute of Mathematical Sciences)
  • Aric Hagberg
    (Los Alamos National Laboratory)
  • Shermin Hamzehei
    (University of Massachusetts)
  • Paul Hand
    (Rice University)
  • Jarvis Haupt
    (University of Minnesota)
  • Mario Hefter **
    (TU Kaiserslautern)
  • Stefan Heinrich **
    (Universität Kaiserslautern)
  • Fred Hickernell
    (Illinois Institute of Technology)
  • Aicke Hinrichs
    (Universität Rostock)
  • Roswitha Hofer
    (Johannes Kepler Universität Linz)
  • Emilie Hogan
    (Pacific Northwest National Laboratory)
  • Daan Huybrechs
    (Katholieke Universiteit Leuven)
  • Thang Huynh
    (Courant Institute of Mathematical Sciences)
  • James Hyman
    (Tulane University)
  • Piotr Indyk
    (Massachusetts Institute of Technology)
  • Rei Inoue Yamazaki
    (Chiba University)
  • Alex Iosevich
    (University of Rochester)
  • Christian Irrgeher
    (Johannes Kepler Universität Linz)
  • Swayambhoo Jain
    (University of Minnesota)
  • Peter Jantsch
    (University of Tennessee)
  • Arnulf Jentzen
    (Eidgenössische TH Hönggerberg)
  • Lan Jiang
    (Illinois Institute of Technology)
  • Lluís Antoni Jiménez Rugama
    (Illinois Institute of Technology)
  • David Johnson
    (Columbia University)
  • Ata Kaban
    (University of Birmingham)
  • Mojtaba Kadkhodaie Elyaderani
    (University of Minnesota)
  • Sung Ha Kang
    (Georgia Institute of Technology)
  • Rinat Kedem
    (University of Illinois at Urbana-Champaign)
  • Richard Kenyon
    (Brown University)
  • Boris Khesin
    (University of Toronto)
  • Thorsten Koch
    (Konrad-Zuse-Zentrum für Informationstechnik (ZIB))
  • Felix Krahmer **
    (Georg-August-Universität zu Göttingen)
  • Miroslav Kramar
    (Rutgers University)
  • Olga Kravchenko
    (Institut Camille Jordan, Université Lyon 1)
  • Marie Kreusch
    (Université de Liège)
  • Igor Krichever
    (Columbia University)
  • Peter Kritzer
    (Johannes Kepler Universität Linz)
  • Thomas Kühn
    (Universität Leipzig)
  • Robert Kunsch **
    (Friedrich-Schiller-Universität)
  • Frances Kuo **
    (University of New South Wales)
  • Michael Lacey **
    (Georgia Institute of Technology)
  • Lisa Lamberti
    (University of Oxford)
  • Quang Nhat Le
    (Brown University)
  • Christiane Lemieux
    (University of Waterloo)
  • Jakob Lemvig
    (Technical University of Denmark)
  • Sivan Leviyang
    (Georgetown University)
  • Xingguo Li
    (University of Minnesota)
  • Yen-Huan Li
    (EPFL)
  • Yi-Kai Liu
    (National Institute of Standards and Technology)
  • Ningning Ma
    (Brown University)
  • Yvon Maday
    (Brown University)
  • Michael Mahoney
    (University of California, Berkeley)
  • Reza Malek-Madani
    (Office of Naval Research)
  • Andrei Marshakov
    (Institute of Theoretical and Experimental Physics)
  • Roel Matthysen **
    (Katholieke Universiteit Leuven)
  • Rahul Mazumder
    (Columbia University)
  • Giovanni Migliorati **
    (École Polytechnique Fédérale de Lausanne (EPFL))
  • Konstantin Mischaikow
    (Rutgers University)
  • Dustin Mixon
    (Air Force Institute of Technology)
  • Dian Mo
    (University of Massachusetts)
  • Sophie Morier-Genoud
    (Université de Paris VI (Pierre et Marie Curie))
  • Thomas Müller-Gronbach **
    (Universität Passau)
  • Gregg Musiker
    (University of Minnesota)
  • Habib Najm
    (Sandia National Laboratories)
  • Akil Narayan **
    (University of Massachusetts)
  • Angelia Nedich
    (University of Illinois at Urbana-Champaign)
  • Deanna Needell
    (Claremont McKenna College)
  • Arkadi Nemirovski
    (Georgia Tech College of Computing )
  • Linda Ness
    (Applied Communication Sciences)
  • Andreas Neuenkirch
    (Universität Mannheim)
  • Dong Nguyen **
    (Katholieke Universiteit Leuven)
  • Tristan Nguyen
    (US Air Force Office of Scientific Research)
  • James Nichols **
    (University of New South Wales)
  • Aleksandar Nikolov
    (Microsoft Research (Sillicon Valley))
  • Mila Nikolova
    (École Normale Supérieure de Cachan)
  • Anthony Nouy
    (Université de Nantes)
  • Erich Novak **
    (Friedrich-Schiller-Universität)
  • Robert Nowak
    (University of Wisconsin)
  • Dirk Nuyens **
    (Katholieke Universiteit Leuven)
  • Valentin Ovsienko
    (Université de Reims)
  • Jose Perea
    (Duke University)
  • Vincent Pilaud
    (École Polytechnique)
  • Friedrich Pillichshammer
    (Johannes Kepler Universität Linz)
  • Leszek Plaskota
    (University of Warsaw)
  • Rodrigo Platte
    (Arizona State University)
  • Andrew Pollington
    (National Science Foundation)
  • Alex Powell
    (Vanderbilt University)
  • James Propp
    (University of Massachusetts)
  • Sanjay Ramassamy
    (Brown University)
  • Yury Rappoport
    (Russian Academy of Sciences)
  • Holger Rauhut
    (RWTH Aachen)
  • Klaus Ritter **
    (Universität Kaiserslautern)
  • Justin Romberg
    (Georgia Institute of Technology)
  • Jose Luis Romero **
    (Universität Wien)
  • Daniel Rudolf **
    (Friedrich-Schiller-Universität)
  • Emily Russell **
    (Harvard University)
  • Thomas Russell
    (National Science Foundation)
  • Ed Saff
    (Vanderbilt University)
  • Ralf Schiffler
    (University of Connecticut)
  • Gus Schrader
    (University of California, Berkeley)
  • Burkhard Schwab
    (Brown University)
  • Christoph Schwab
    (ETH)
  • Richard Schwartz
    (Brown University)
  • Alexander Shapiro
    (University of California, Berkeley)
  • Michael Shapiro
    (Michigan State University)
  • Jie Shen
    (Purdue University)
  • Zhongwei Shen
    (University of Kentucky)
  • Chi-Wang Shu **
    (Brown University)
  • Winfried Sickel
    (Friedrich-Schiller-Universität)
  • Pawel Siedlecki **
    (University of Warsaw)
  • Aarti Singh
    (Carnegie Mellon University)
  • Maxim Skriganov **
    (Russian Academy of Sciences)
  • Ian Sloan **
    (University of New South Wales)
  • Fedor Soloviev
    (University of Toronto)
  • Guohui Song
    (Clarkson University)
  • Akshay Soni
    (University of Minnesota)
  • Tatyana Sorokina
    (Towson State University)
  • Craig Spencer
    (Kansas State University)
  • Jeremy Staum
    (Northwestern University)
  • Ju Sun
    (Columbia University)
  • Yuri Suris
    (Technische Universität Berlin )
  • Gowri Suryanarayana **
    (Katholieke Universiteit Leuven)
  • Sergei Tabachnikov
    (Institute for Computational and Experimental Research in Mathematics (ICERM))
  • Gongguo Tang
    (University of Wisconsin)
  • Krystal Taylor
    (University of Minnesota)
  • Vladimir Temlyakov **
    (University of South Carolina)
  • Mu Tian
    (Tulane University/Stony Brook University)
  • Robert Tichy
    (Technische Universität Graz)
  • Michael Todd **
    (Cornell University)
  • Hoang Tran
    (Oak Ridge National Laboratory)
  • Joseph Traub
    (Columbia University)
  • Giancarlo Travaglini **
    (Università di Milano - Bicocca)
  • Giulio Trigila
    (Technische Universitaet Muenchen)
  • Tino Ullrich **
    (Rheinische Friedrich-Wilhelms-Universität Bonn)
  • Maria Villar
    (University of Texas at Austin)
  • Elizaveta Vishnyakova
    (Centre Universitaire de Luxembourg)
  • Aditya Viswanathan **
    (Michigan State University)
  • Hannah Vogel
    (Karl-Franzens-Universität Graz)
  • Anastasia Volovich
    (Brown University)
  • Vladislav Voroninski
    (MIT)
  • Martin Wainwright
    (University of California, Berkeley)
  • Mike Wakin
    (Colorado School of Mines)
  • Li Wang **
    (University of California, San Diego)
  • Yang Wang
    (Michigan State University)
  • Yingwei Wang **
    (Purdue University)
  • Rachel Ward
    (University of Texas at Austin)
  • Grzegorz Wasilkowski **
    (University of Kentucky)
  • Clayton Webster
    (Oak Ridge National Laboratory)
  • Renato Werneck
    (Microsoft Research)
  • Arthur Werschulz
    (Fordham University)
  • Harold Williams
    (University of California, Berkeley)
  • Brian Witten
    (Symantec)
  • Henryk Wozniakowski **
    (Columbia University)
  • John Wright
    (Columbia University)
  • Di Xiao
    (University of Minnesota)
  • Zhiqiang Xu
    (Chinese Academy of Sciences)
  • Zijian Yao
    (Brown University)
  • Larisa Yaroslavtseva
    (Universität Passau)
  • Qi Ye
    (Syracuse University)
  • Yinyu Ye
    (Stanford University)
  • Ozgur Yilmaz
    (University of British Columbia)
  • Wotao Yin
    (University of California, Los Angeles)
  • Martin Zachariasen
    (University of Copenhagen)
  • Marguerite Zani
    (Université d'Orléans)
  • Peter Zaspel
    (Rheinische Friedrich-Wilhelms-Universität Bonn)
  • Guannan Zhang
    (Oak Ridge National Laboratory)
  • Xiaoqun Zhang
    (Shanghai Jiaotong University)
  • Jie Zhong
    (University of Central Florida)
  • Ding-Xuan Zhou
    (City University of Hong Kong)
  • Xuan Zhou
    (Illinois Institute of Technology)
  • Houying Zhu **
    (University of New South Wales)
  • Xiaosheng Zhuang
    (City University of Hong Kong)

Fall 2014 Research Clusters

To participate in a research cluster please apply through the semester program visitors application. Indicate which research cluster you are applying to in the "other comments" section of the application.


Research Cluster: Computational Challenges in Sparse and Redundant Representations (November 3-21, 2014)


Organizers:
Description

Harmonic analysis provides the mathematical backbone for modern signal and image processing. It also constitutes an important part of the foundation several scientific and engineering areas, including communication theory, control science, fluid dynamics, and electromagnetics, that underpin a much broader set of current applications. Although computer implementation of concepts from harmonic analysis is prevalent, relatively little attention is given to computational and numerical aspects of the discipline in its own literature. Further, many of the most capable young mathematicians working in this area have only modest exposure to the roles of such crucial computational considerations as finite data effects; e.g., How much error is introduced by truncating this infinite-series representation of a function in terms of a frame, and where will it be manifested?

On the other hand, new tools and ideas have entered the mainstream of harmonic analysis in recent years that have not yet become established in areas of applied mathematics where numerical and computational issues are routinely treated as integral aspects of problem formulation and methodological development. Among these are tools for non-orthogonal and overcomplete representations in linear spaces and the exploitation of sparsity and related (e.g., low rank) assumptions in inverse problems of various types. This research cluster seeks to bridge this perceived gap by (i) fostering understanding and appreciation of the computational perspective among harmonic analysts and (ii) increasing awareness of emerging mathematical tools and techniques in applied harmonic analysis among computational mathematicians.


  • Ben Adcock
    (Simon Fraser University)
  • Akram Aldroubi
    (Vanderbilt University)
  • Rick Archibald
    (Oak Ridge National Laboratory)
  • Amir Averbuch
    (Tel Aviv University)
  • Radu Balan
    (University of Maryland)
  • Afonso Bandeira
    (Princeton University)
  • Amit Bermanis
    (Tel Aviv University)
  • Ole Christensen
    (Technical University of Denmark)
  • Jacqueline Davis
    (Vanderbilt University)
  • Nira Dyn
    (Tel Aviv University)
  • Milana Gataric
    (University of Cambridge)
  • Anne Gelb
    (Arizona State University)
  • Karlheinz Gröchenig
    (Universität Wien)
  • Philipp Grohs
    (ETH)
  • Daan Huybrechs
    (Katholieke Universiteit Leuven)
  • Jakob Lemvig
    (Technical University of Denmark)
  • Roel Matthysen
    (Katholieke Universiteit Leuven)
  • Dustin Mixon
    (Air Force Institute of Technology)
  • Rodrigo Platte
    (Arizona State University)
  • Jose Luis Romero
    (Universität Wien)
  • Chi-Wang Shu
    (Brown University)
  • Guohui Song
    (Clarkson University)
  • Aditya Viswanathan
    (Michigan State University)
  • Yang Wang
    (Michigan State University)
  • Xiaosheng Zhuang
    (City University of Hong Kong)

Fall 2014 Semester Workshops

DatesTitleOrganizers
Sep 15-19, 2014Information-Based Complexity and Stochastic Computation Frances Y. Kuo, Erich Novak, Klaus Ritter, Grzegorz W. Wasilkowski, Henryk Wozniakowski
Sep 29-Oct 3, 2014Approximation, Integration, and Optimization Albert Cohen, Ronald Devore, Robert Nowak, Vladimir Temlyakov, Rachel Ward
Oct 27-31, 2014Discrepancy Theory Michael Lacey, William Chen, Dmitriy Bilyk, Aicke Hinrichs, Mikhail Lifshits, Friedrich Pillichshammer