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A Novel Fuzzy ARTMAP Architecture with Adaptive FeatureWeights based on Onicescu’s Informational Energy

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TLDR
Experimental results, performed on several benchmarks, show that feature weighting can improve the classification performance of the general FAMR algorithm.
Abstract
Fuzzy ARTMAP with Relevance factor (FAMR) is a Fuzzy ARTMAP (FAM) neural architecture with the following property: Each training pair has a rel- evance factor assigned to it, proportional to the importance of that pair during the learning phase. Using a relevance factor adds more flexibility to the training phase, allowing ranking of sample pairs according to the confidence we have in the infor- mation source or in the pattern itself. We introduce a novel FAMR architecture: FAMR with Feature Weighting (FAM- RFW). In the first stage, the training data features are weighted. In our experiments, we use a feature weighting method based on Onicescu's informational energy (IE). In the second stage, the obtained weights are used to improve FAMRFW training. The effect of this approach is that category dimensions in the direction of relevant features are decreased, whereas category dimensions in the direction of non-relevant feature are increased. Experimental results, performed on several benchmarks, show that feature weighting can improve the classification performance of the general FAMR algorithm.

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Citations
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Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh

TL;DR: General aspects of Lotfi A. Zadeh’s contributions to the development of Soft Computing(SC) and Artificial Intelligence(AI) and also his important and early influence in the world and in Romania are presented.

Information Theoretic Learning.

TL;DR: This work states that there is information in the error signal that is not captured during the training of nonlinear adaptive systems under non-Gaussian distribution conditions when one insists on secondorder statistical criteria.
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The influences of competitive intelligence budgets on informational energy dynamics

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Learning ADL Daily Routines with Spatiotemporal Neural Networks

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References
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Journal ArticleDOI

Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimensional maps

TL;DR: The fuzzy ARTMAP system is compared with Salzberg's NGE systems and with Simpson's FMMC system, and its performance in relation to benchmark backpropagation and generic algorithm systems.
Journal ArticleDOI

'Neural-gas' network for vector quantization and its application to time-series prediction

TL;DR: It is shown that the dynamics of the reference (weight) vectors during the input-driven adaptation procedure are determined by the gradient of an energy function whose shape can be modulated through a neighborhood determining parameter and resemble the dynamicsof Brownian particles moving in a potential determined by a data point density.
Book ChapterDOI

Information Theoretic Learning

TL;DR: In this article, the assumption of Gaussianity for the measurement error combined with the maximum likelihood principle could be emphasized to promote the least square criterion for nonlinear regression problems; considering classification as a regression problem towards estimating class posterior probabilities, least squares has been employed to train neural network and other classifier topologies to approximate correct labels.
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