| EPSRC Reference: |
GR/S04895/01 |
| Title: |
Convex hulls and entropy inequalities |
| Principal Investigator: |
Edmunds, Professor D |
| Other Investigators: |
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| Department: |
Sch of Mathematical & Physical Sciences |
| Organisation: |
University of Sussex |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
08 September 2002 |
Ends: |
07 December 2002 |
Value (£): |
1,315
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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For a precompact subset A of a Hilbert space we wish to obtain asymptotically optimal bounds for the Gelfand and Kolmogorov numbers of the absolutely convex hull of A, given that the entropy numbers of A have critical growth. We also intend to study an inequality for the entropy numbers of a map from a Hilbert space to a finite-dimensional space, and to obtain good estimates for the constant which appears in the inequality. These have considerable importance for applications, such as the estimation of performance bounds for statistical hypotheses and of support vector machines.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.sussex.ac.uk |