AGALT
Asymptotic Geometric Analysis and Learning Theory
| Coordinatore | TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Israel [IL] |
| Totale costo | 750˙000 € |
| EC contributo | 750˙000 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2007-StG |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2009 |
| Periodo (anno-mese-giorno) | 2009-03-01 - 2014-02-28 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Organization address
address: TECHNION CITY - SENATE BUILDING contact info |
IL (HAIFA) | hostInstitution | 0.00 |
| 2 |
TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Organization address
address: TECHNION CITY - SENATE BUILDING contact info |
IL (HAIFA) | hostInstitution | 0.00 |
Mappa
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Obiettivo del progetto (Objective)
'In a typical learning problem one tries to approximate an unknown function by a function from a given class using random data, sampled according to an unknown measure. In this project we will be interested in parameters that govern the complexity of a learning problem. It turns out that this complexity is determined by the geometry of certain sets in high dimension that are connected to the given class (random coordinate projections of the class). Thus, one has to understand the structure of these sets as a function of the dimension - which is given by the cardinality of the random sample. The resulting analysis leads to many theoretical questions in Asymptotic Geometric Analysis, Probability (most notably, Empirical Processes Theory) and Combinatorics, which are of independent interest beyond the application to Learning Theory. Our main goal is to describe the role of various complexity parameters involved in a learning problem, to analyze the connections between them and to investigate the way they determine the geometry of the relevant high dimensional sets. Some of the questions we intend to tackle are well known open problems and making progress towards their solution will have a significant theoretical impact. Moreover, this project should lead to a more complete theory of learning and is likely to have some practical impact, for example, in the design of more efficient learning algorithms.'