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Self-Organizing Decomposition of Functions
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Self-Organizing Decomposition of Functions
N. Griffith4 and D. Partridge5
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Department of Computer Science, University of Limerick, Ireland |
| (5) |
Department of Computer Science, University of Exeter, Exeter, EX4 4PT, UK |
Abstract
This paper discusses some of the issues raised by various approaches to decomposing functions and modular networks, and it
offers a unified framework for multiple classifier (MC) systems in general. It argues that as yet there is no general approach
to this problem although several approaches provide solutions to situations in which parametric labelling of a function allows
the task facing classifying networks to be simplified. An MC connectionist system consisting of networks that process sub-spaces
within a function based upon the similarity of patterns within its input domain is proposed and evaluated in the context of
previous approaches to modular networks, and in the broader context of MC systems more generally. This simple automatic partitioning scheme is investigated using several different problems, and is shown to be effective. The degree to which the
sub-spaces are specialized on a predictable subset of the overall function is assessed, and their performance is compared
with equivalent single-network, and undivided multiversion systems. Statistical measures of ‘diversity’ previously used to
assess voting MC systems are shown to apply to the measurement of the the degree of specialization or bias within groups of
sub-space nets as well as provide a useful indicator across the range of MC systems. By successively increasing the overlap
between sub-space partitions we show a transition from experts subnets, through voting version sets to optimal single classifiers.
Finally, a unified framework for MC systems is presented.
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