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The geometry of sloppiness

Abstract:

The use of mathematical models in the sciences often involves the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this task. In this paper, we develop a precise mathematical foundation for sloppiness and define rigorously its key concepts, such as `model manifold', in relation to concepts of structural identifiability. We redefine sloppiness conceptually as a comparison between the premetric on parameter space induced by measurement n...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.18409/jas.v9i1.64

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Institution:
University of Oxford
Division:
Maths, Physical & Life Sciences
Department:
Mathematical Institute
Oxford college:
St Cross College
Role:
Author
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Funding agency for:
Harrington, HA
Publisher:
Journal of Algebraic Statistics
Journal:
Journal of Algebraic Statistics Journal website
Volume:
9
Issue:
1
Pages:
30-68
Publication date:
2018-09-24
Acceptance date:
2018-05-31
DOI:
EISSN:
1309-3452
Pubs id:
pubs:864966
URN:
uri:8f708aee-2495-40b3-bdb2-8e33be667d00
UUID:
uuid:8f708aee-2495-40b3-bdb2-8e33be667d00
Local pid:
pubs:864966

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