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CORR
2007
Springer
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14 years 14 days ago
Intrinsic dimension of a dataset: what properties does one expect?
— We propose an axiomatic approach to the concept of an intrinsic dimension of a dataset, based on a viewpoint of geometry of high-dimensional structures. Our first axiom postul...
Vladimir Pestov
NIPS
2004
14 years 1 months ago
Maximum Likelihood Estimation of Intrinsic Dimension
We propose a new method for estimating intrinsic dimension of a dataset derived by applying the principle of maximum likelihood to the distances between close neighbors. We derive...
Elizaveta Levina, Peter J. Bickel