IEEE - Institute of Electrical and Electronics Engineers, Inc. - Intrinsic dimension of a dataset: what properties does one expect?

International Joint Conference on Neural Networks

Author(s): V. Pestov
Publisher: IEEE - Institute of Electrical and Electronics Engineers, Inc.
Publication Date: 1 August 2007
Conference Location: Orlando, FL, USA
Conference Date: 12 August 2007
Page(s): 2,959 - 2,964
ISBN (CD): 978-1-4244-1380-5
ISBN (Paper): 978-1-4244-1379-9
ISSN (Electronic): 2161-4407
ISSN (Paper): 2161-4393
DOI: 10.1109/IJCNN.2007.4371431
Regular:

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 postulates that high values... View More

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