NDLI: On the Number of S-Threshold Functions on Not Necessarily Binary Input

Content Provider	IEEE Xplore Digital Library
Author	Pantovic, J. Ghilezan, S. Unic, J.
Copyright Year	2014
Description	Author affiliation: Fac. of Tech. Sci., Univ. of Novi Sad, Novi Sad, Serbia (Pantovic, J.; Ghilezan, S.) \|\| Comput. Sci., Univ. of Exeter, Exeter, UK (Unic, J.)
Abstract	In this paper we consider S-threshold functions defined on not necessarily binary input. By S-threshold function, in an arbitrary dimension we mean a function which can be written as a linear combination of monomials from a predefined set. First, we determine sets of discrete moments which uniquely determine such functions. Based on these, we derive a generic formula for the upper bound of the functions considered. The formula is generic because it works in all dimensions, on any input size, and for any set of monomials used to define certain S-threshold function. Even though the formula is very generic it gives some improvements of the well-known results.
Starting Page	13
Ending Page	18
File Size	209052
Page Count	6
File Format	PDF
ISBN	9781479935352
ISSN	0195623X
DOI	10.1109/ISMVL.2014.11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-19
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Upper bound Encoding Educational institutions Performance analysis Image coding discrete moments Threshold function encoding enumerating neural networks
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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