Generalized smart evolving fuzzy systems

dc.contributor.authorLughofer, E.
dc.contributor.authorCernuda, C.
dc.contributor.authorKindermann, S.
dc.contributor.authorPratama, M.
dc.date.issued2015
dc.description.abstractIn this paper, we propose a new methodology for learning evolving fuzzy systems (EFS) from data streams in terms of on-line regression/system identification problems. It comes with enhanced dynamic complexity reduction steps, acting on model components and on the input structure and by employing generalized fuzzy rules in arbitrarily rotated position. It is thus termed as Gen-Smart-EFS (GS-EFS), short for generalized smart evolving fuzzy systems. Equipped with a new projection concept for high-dimensional kernels onto one-dimensional fuzzy sets, our approach is able to provide equivalent conventional TS fuzzy systems with axis-parallel rules, thus maintaining interpretability when inferring new query samples. The on-line complexity reduction on rule level integrates a new merging concept based on a combined adjacency–homogeneity relation between two clusters (rules). On input structure level, complexity reduction is motivated by a combined statistical-geometric concept and acts in a smooth and soft manner by incrementally adapting feature weights: features may get smoothly out-weighted over time ($$\rightarrow$$soft on-line dimension reduction) but also may become reactivated at a later stage. Out-weighted features will contribute little to the rule evolution criterion, which prevents the generation of unnecessary rules and reduces over-fitting due to curse of dimensionality. The criterion relies on a newly developed re-scaled Mahalanobis distance measure for assuring monotonicity between feature weights and distance values. Gen-Smart-EFS will be evaluated based on high-dimensional real-world data (streaming) sets and compared with other well-known (evolving) fuzzy systems approaches. The results show improved accuracy with lower rule base complexity as well as smaller rule length when using Gen-Smart-EFS.
dc.identifier.citationEvolving Systems, 2015; 6(4):269-292
dc.identifier.doi10.1007/s12530-015-9132-6
dc.identifier.issn1868-6478
dc.identifier.issn1868-6486
dc.identifier.urihttps://hdl.handle.net/11541.2/29021
dc.language.isoen
dc.publisherSpringer
dc.relation.fundingAustrian federal government
dc.relation.fundingFederal state of Upper Austria
dc.rightsCopyright Springer-Verlag Berlin Heidelberg 2015
dc.source.urihttps://doi.org/10.1007/s12530-015-9132-6
dc.subjectdata stream regression
dc.subjectgeneralized evolving fuzzy systems (GS-EFS)
dc.subjectrule merging
dc.subjectadjacency–homogeneity relation
dc.subjectsoft and smooth on-line dimension reduction
dc.subjectre-scaled Mahalanobis distance measure
dc.titleGeneralized smart evolving fuzzy systems
dc.typeJournal article
pubs.publication-statusPublished
ror.mmsid9916606138301831

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