Random dynamics and Geometric analysis

Random dynamics and Geometric analysis is sponsored by European Research Council (ERC). This ERC project focuses on the study of random dynamics and geometric analysis, with potential applications in stochastic modeling and risk theory.

Content archived on 2024-06-18 Asymptotic Geometric Analysis and Learning Theory 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. Fields of science (EuroSciVoc) CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary .

Suggest new fields of science Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science) Asymptotic Geometric Analysis Statistical Learning Theory Multi-annual funding programmes that define the EU’s priorities for research and innovation.

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) Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding. See other projects for this call Funding scheme (or “Type of Action”) inside a programme with common features.

It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

ERC-SG - ERC Starting Grant TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Higher or Secondary Education Establishments Participation in EU R&I programmes HORIZON collaboration network The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Higher or Secondary Education Establishments Participation in EU R&I programmes HORIZON collaboration network The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget. Download Download the content of the page Last update: 16 July 2019 Permalink: https://cordis.

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