Metric Entropy and Applications
in Analysis,
Learning Theory
and Probability
11-15 September 2006, Edinburgh
Home Page | Workshop Arrangements | Scientific Programme and ParticipantsScientific Programme and Participants
Workshop structureThe workshop will begin with Registration (09.00-09.45) on Monday 11 September and the first talk will be at 10.00. It will finish on the afternoon of Friday 15 September.
Programme | Participants
Anticipated key speakers
Shiri Artstein-Avidan (Princeton University)
Alexey Chervonenkis (Royal Holloway, University of London)
Michael Cwikel (Technion--Israel Institute of Technology)
Alastair Gillespie (University of Edinburgh)
Niels Jacob (University of Wales Swansea)
Michail Lifshits (St Petersburg State University)
Wenbo V. Li (University of Delaware)
Werner Linde (Friedrich-Schiller-Universität Jena)
Ingo Steinwart (Los Alamos National Laboratory)
Vladimir Temlyakov (University of South Carolina)
Hans Triebel (Friedrich-Schiller-Universität Jena)
Vladimir Vovk (University of London)
Programme
Monday 11 September
| 09.00 - 09.45 | Registration |
| 09.50 - 10.00 | Welcome |
| 10.00 - 10.50 | Thomas Kühn (Universität Leipzig)
(Abstract) Introduction to metric entropy and some applications |
| 10.50 - 11.15 | Coffee/Tea |
| 11.15 - 12.05 | Hans Triebel (Friedrich-Schiller-Universität
Jena) (Abstract) The use of entropy in function spaces and spectral theory |
| 12.45 - 15.00 | Sandwich lunch provided |
| 15.00 - 15.50 | Wenbo V. Li (University of Delaware) (Abstract) Interplay between small ball probability and metric entropy |
| 16.05 - 16.55 | Vladimir Temlyakov (University of South Carolina)
(Talk) The entropy in learning theory |
| 17.10 - 17.40 | Tomas Schonbek (Florida Atlantic University)
(Abstract) Extrapolation of entropy numbers |
| 17.45 - 18.45 | Wine reception at ICMS |
Tuesday 12 September
| 09.00 - 09.50 | Michael Cwikel (Technion - Israel Institute of
Technology) (Abstract) Interpolation of compactness by Calderón’s complex method |
| 10.00 - 10.50 | Vladimir Vovk (Royal Holloway, University of London) (Abstract) (Paper) (Talk) Some uses of functional analysis in on-line learning |
| 10.50 - 11.15 | Coffee/Tea |
| 11.15 - 12.05 | Mikhail Lifshits (St Petersburg State University)
(Abstract)
(Talk) Random Dirichlet polynomials: metric entropy |
| 12.30 - 15.00 | Lunch break |
| 15.00 - 15.50 | Niels Jacob (University of Wales Swansea)
(Abstract) Energy forms, function spaces and stochastic processes |
| 16.00 - 16.30 | Kristian Evans (University of Wales Swansea)
(Abstract) Subordination in the sense of Bochner of variable order |
| 16.50 - 17.20 | Leszek Skrzypczak (Adam Mickiewicz University, Poznan)
(Abstract)
(Talk) Entropy numbers of Sobolev embeddings and spectral properties of Schrödinger operators on manifolds |
| 17.30 - 18.00 | Danilo Blagojevic (University of Edinburgh)
(Abstract) Super-reflexive Banach spaces and power growth of certain operators |
| 19.00 | Informal group supper at Balli’s Bistro, 89 Hanover Street, Edinburgh |
Wednesday 13 September
| 09.00 - 09.50 | Werner Linde (Friedrich-Schiller-Universität
Jena) (Abstract) Small deviation of Gaussian processes in L_q- spaces |
| 10.00 - 10.50 | Ingo Steinwart (Los Alamos National Laboratory)
(Talk) An introduction to the statistical analysis of support vector machines |
| 10.50 - 11.15 | Coffee/Tea |
| 11.15 - 12.05 | Shiri Artstein-Avidan (Princeton University)
(Abstract) Coverings and metric entropy: duality |
| 12.30 - 15.00 | Lunch break |
| Afternoon | Free for sightseeing |
Thursday 14 September
| 09.00 - 09.50 | Alastair Gillespie (University of Edinburgh)
(Abstract) Weighted ergodic theory, spectral decomposability and dimension free estimates |
| 10.00 - 10.30 | Dorothee Haroske
(Friedrich-Schiller-Universität Jena) (Abstract)
(Talk) Envelope functions in real interpolation spaces. A first approach |
| 10.35 - 11.05 | Pedro Fernández-Martínez
(Universidad de Murcia) (Abstract)
(Talk) Interpolation of entropy numbers and the measure of non-compactness |
| 11.05 - 11.30 | Coffee/Tea |
| 11.30 - 12.00 | Antón Martínez (Universidad de
Vigo) (Abstract) Interpolation of entropy numbers by multidimensional methods |
| 12.05 - 12.35 | Markus Schicks (University of Wales Swansea)
(Abstract)
(Talks) Multiparameter processes and related operators |
| 12.35 - 14.00 | Lunch break |
| 14.00 - 14.50 | Alexey Chervonenkis (Royal Holloway, University of London)
(Abstract) About some properties of function sets, for which the condition of uniform convergence of means to expectations are not valid |
| 19.00 | Workshop dinner at First Coast Restaurant, 99-101 Dalry Road. Dress informal. |
Friday 15 September
| 09.00 - 09.30 | Hans-Gerd Leopold
(Friedrich-Schiller-Universität Jena)
(Abstract) Entropy numbers of embeddings of weighted Besov spaces |
| 09.40 - 10.10 | Bernadeta Tomasz (Adam Mickiewicz University,
Poznan) (Abstract)
(Talk) Approximation numbers of Sobolev embeddings of radial functions |
| 10.20 - 10.50 | Jan Vybiral (Friedrich-Schiller-Universität Jena)
(Abstract) Sampling numbers of embeddings of Besov spaces |
| 10.50 - 11.15 | Coffee/Tea |
| 11.15 - 11.45 | Erika Tamasi (Friedrich-Schiller-Universität Jena)
(Abstract)
(Talk) Approximation numbers in anisotropic function spaces |
| 11.45 - 12.00 | Closing of the meeting |
Full list of participants
30 August 2006
| Name | Institution |
| Artstein-Avidan, Shiri | Princeton University |
| Blagojevic, Danilo | University of Edinburgh |
| Chervonenkis, Alexey | Royal Holloway, University of London |
| Cobos, Fernando | Universidad Complutense de Madrid |
| Cwikel, Michael | Technion - Israel Institute of Technology |
| Evans, Kristian | University of Wales Swansea |
| Fernandez-Cabrera, Luz M | Universidad Complutense de Madrid |
| Fernández-Martínez, Pedro | Universidad de Murcia |
| Gillespie, Alastair | University of Edinburgh |
| Haroske, Dorothee | Friedrich-Schiller-Universität Jena |
| Jacob, Niels | University of Wales Swansea |
| Kühn, Thomas | Universität Leipzig |
| Leopold, Hans-Gerd | Friedrich-Schiller-Universität Jena |
| Li, Wenbo V | University of Delaware |
| Lifshits, Mikhail | St Petersburg State University |
| Linde, Werner | Friedrich-Schiller-Universität Jena |
| Manzano, Antonio | Universidad de Burgos |
| Martínez, Antón | Universidad de Vigo |
| Nouretdinov, Ilya | Royal Holloway, University of London |
| Piotrowska, Iwona | Friedrich-Schiller-Universität Jena |
| Schicks, Markus | University of Wales Swansea |
| Schonbek, Tomas | Florida Atlantic University |
| Skrzypczak, Leszek | Adam Mickiewicz University, Poznan |
| Steinwart, Ingo | Los Alamos National Laboratory |
| Tamasi, Erika | Friedrich-Schiller-Universität Jena |
| Temlyakov, Vladimir | University of South Carolina |
| Tomasz, Bernadeta | Adam Mickiewicz University, Poznan |
| Triebel, Hans | Friedrich-Schiller-Universität Jena |
| Vovk, Vladimir | Royal Holloway, University of London |
| Vybiral, Jan | Friedrich-Schiller-Universität Jena |
Home Page | Workshop Arrangements | Scientific Programme and Participants