Title
Fitting Aggregation Functions to Data: Part II - Idempotization.
Abstract
The use of supervised learning techniques for fitting weights and/or generator functions of weighted quasi-arithmetic means - a special class of idempotent and nondecreasing aggregation functions - to empirical data has already been considered in a number of papers. Nevertheless, there are still some important issues that have not been discussed in the literature yet. In the second part of this two-part contribution we deal with a quite common situation in which we have inputs coming from different sources, describing a similar phenomenon, but which have not been properly normalized. In such a case, idempotent and nondecreasing functions cannot be used to aggregate them unless proper preprocessing is performed. The proposed idempotization method, based on the notion of B-splines, allows for an automatic calibration of independent variables. The introduced technique is applied in an R source code plagiarism detection system.
Year
DOI
Venue
2016
10.1007/978-3-319-40581-0_63
Communications in Computer and Information Science
Keywords
Field
DocType
Aggregation functions,Weighted quasi-arithmetic means,Least squares fitting,Idempotence
Least squares,Discrete mathematics,Normalization (statistics),Plagiarism detection,Source code,Algorithm,Supervised learning,Variables,Operator (computer programming),Idempotence,Mathematics
Conference
Volume
ISSN
Citations 
611
1865-0929
1
PageRank 
References 
Authors
0.41
6
4
Name
Order
Citations
PageRank
Maciej Bartoszuk1173.62
Gleb Beliakov298978.95
Marek Gagolewski318623.86
Simon James427220.35