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Adaptive Fuzzy Filtering in a Deterministic Setting

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3 Author(s)
Mohit Kumar ; Center for Life Sci. Autom., Rostock, Germany ; Norbert Stoll ; Regina Stoll

Many real-world applications involve the filtering and estimation of process variables. This study considers the use of interpretable Sugeno-type fuzzy models for adaptive filtering. Our aim in this study is to provide different adaptive fuzzy filtering algorithms in a deterministic setting. The algorithms are derived and studied in a unified way without making any assumptions on the nature of signals (i.e., process variables). The study extends, in a common framework, the adaptive filtering algorithms (usually studied in signal processing literature) and p -norm algorithms (usually studied in machine learning literature) to semilinear fuzzy models. A mathematical framework is provided that allows the development and an analysis of the adaptive fuzzy filtering algorithms. We study a class of nonlinear LMS-like algorithms for the online estimation of fuzzy model parameters. A generalization of the algorithms to the p-norm is provided using Bregman divergences (a standard tool for online machine learning algorithms).

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:17 ,  Issue: 4 )