| EPSRC Reference: |
EP/K000993/1 |
| Title: |
Adaptive nonparametric statistical inference |
| Principal Investigator: |
Bull, Dr AD |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
EPSRC Fellowship |
| Starts: |
01 October 2012 |
Ends: |
30 September 2015 |
Value (£): |
205,344
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| EPSRC Research Topic Classifications: |
| Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
Many problems in science and industry require us to estimate functions: we may be recovering an image of a galaxy in astronomy, or estimating dose responses in medicine; estimating income distributions in economics, or temperature distributions in meteorology; or recovering a transmission from a noisy channel in signal processing.
A good solution to these problems should be adaptive, performing well over a wide range of function classes. While much recent research has focused on describing such methods, in general they do not come with a guarantee of accuracy, and in practise this is often insufficient: for example, we may need to distinguish important features of a galaxy from random noise; detect significant differences in income distributions; or ensure accurate decoding of a signal.
Answering these questions requires adaptive confidence sets, but these objects are not yet well understood; adaptive estimates cannot simply be extended to produce confidence sets, and adaptive inference is in fact significantly more challenging. In this project, I will provide new insight into adaptive confidence sets, and develop new methodology applying them to a range of complex problems.
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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.cam.ac.uk |