Euler integration over definable functions.
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- Record sourced from PubMed, PMID 20445085.
- Also identified by DOI 10.1073/pnas.0910927107 and PMC identifier 2906884.
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Abstract
We extend the theory of Euler integration from the class of constructible functions to that of "tame" R-valued functions (definable with respect to an o-minimal structure). The corresponding integral operator has some unusual defects (it is not a linear operator); however, it has a compelling Morse-theoretic interpretation. In addition, it is an advantageous setting in which to integrate in applications to diffused and noisy data in sensor networks.
Medical subject headings
- Noise