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Information theory and dimensionality of space

We present an information-theoretic approach to the optimal representation of the intrinsic dimensionality of data and show it is a noninteger. Since optimality is accepted as a physical principle, this provides a theoretical explanation for why noninteger dimensions are useful in many branches of p...

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Vydáno v:Sci Rep
Hlavní autor: Kak, Subhash
Médium: Artigo
Jazyk:Inglês
Vydáno: Nature Publishing Group UK 2020
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC7693271/
https://ncbi.nlm.nih.gov/pubmed/33244156
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1038/s41598-020-77855-9
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