Paper Info
Title
Bound Analysis Through HDMR for Multivariate Data Modelling - CMMSE.
Abstract
Multivariate data modelling problems consist of a number of nodes with associated function (class) values. The main purpose of these problems is to construct an analytical model to represent the characteristics of the problem under consideration. Because the devices, tools, and/or algorithms used to collect the data may have incapabilities or limited capabilities, the data set is likely to contain unavoidable errors. That is, each component of data is reliable only within an interval which contains the data value. To this end, when an analytical structure is needed for the given data, a band structure should be determined instead of a unique structure. As the multivariance of the given data set increases, divide–and–conquer methods become important in multivariate modelling problems. HDMR based methods allow us to partition the given multivariate data into less variate data sets to reduce the complexity of the given problem. This paper focuses on Interval Factorized HDMR method developed to determine an approximate band structure for a given multivariate data modelling problem having uncertainties on its nodes and function values.
Year
DOI
Venue
2013
10.1007/s10852-012-9211-7
J. Math. Model. Algorithms in OR
Keywords
DocType
Volume
High dimensional model representation, Multivariate functions, Interpolation, Multidimensional problems, Bound analysis, Approximation
Journal
12
Issue
ISSN
Citations 
3
2214-2495
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
M. Alper Tunga1405.44
Metin Demiralp2335.48