A Stochastic Framework for Robust Fuzzy Filtering and Analysis of Signals—Part II

This text provides several applications scenarios of introduced signals' modeling and analysis framework to solve the practical problems. Some of the challenging practical problems related to signal/data processing have been formulated in a manner that the negative free energy maximizing filtering and variational information maximizing analysis algorithms of Kumar et al. could be directly applied to solve the problems. The studied application examples include robust comparison of objects' geometries in images for child ear biometrics, biomedical signals classification, data smoothing for reflection-mode ultrasound imaging, and modeling related applications. The application examples support the mathematical theory of Kumar et al. by providing just the proof-of-concept.

[1]  Norbert Stoll,et al.  Adaptive Fuzzy Filtering in a Deterministic Setting , 2009, IEEE Transactions on Fuzzy Systems.

[2]  Zhaohong Deng,et al.  Scalable TSK Fuzzy Modeling for Very Large Datasets Using Minimal-Enclosing-Ball Approximation , 2011, IEEE Transactions on Fuzzy Systems.

[3]  Matthias Weippert,et al.  A fuzzy filtering based system for maximal oxygen uptake prediction using heart rate variability analysis , 2009, 2009 IEEE International Conference on Automation Science and Engineering.

[4]  Norbert Stoll,et al.  A min-max approach to fuzzy clustering, estimation, and identification , 2006, IEEE Transactions on Fuzzy Systems.

[5]  Norbert Stoll,et al.  A fuzzy system for modeling the structure-activity relationships in presence of uncertainties , 2008, 2008 IEEE International Conference on Automation Science and Engineering.

[6]  Daniel W. C. Ho,et al.  A note on the robust stability of uncertain stochastic fuzzy systems with time-delays , 2004, IEEE Trans. Syst. Man Cybern. Part A.

[7]  Matthijs C. Dorst.  Distinctive Image Features from Scale-Invariant Keypoints , 2011 .

[8]  Matthias Weippert,et al.  Fuzzy Evaluation of Heart Rate Signals for Mental Stress Assessment , 2007, IEEE Transactions on Fuzzy Systems.

[9]  Hagai Attias,et al.  A Variational Bayesian Framework for Graphical Models , 1999 .

[10]  Ling Wang,et al.  Fuzzy rule-based support vector regression system , 2005 .

[11]  Neil D. Lawrence,et al.  Variational inference for Student-t models: Robust Bayesian interpolation and generalised component analysis , 2005, Neurocomputing.

[12]  Chia-Feng Juang,et al.  An Interval Type-2 Fuzzy-Neural Network With Support-Vector Regression for Noisy Regression Problems , 2010, IEEE Transactions on Fuzzy Systems.

[13]  S Kumar,et al.  Handling uncertainties in toxicity modelling using a fuzzy filter , 2007, SAR and QSAR in environmental research.

[14]  Song-Shyong Chen,et al.  Robust TSK fuzzy modeling for function approximation with outliers , 2001, IEEE Trans. Fuzzy Syst..

[15]  Hongxing Li,et al.  Approximation of stochastic processes by T-S fuzzy systems , 2005, Fuzzy Sets Syst..

[16]  Christopher M. Bishop,et al.  Pattern Recognition and Machine Learning (Information Science and Statistics) , 2006 .

[17]  Naonori Ueda,et al.  Bayesian model search for mixture models based on optimizing variational bounds , 2002, Neural Networks.

[18]  Kerstin Thurow,et al.  Fuzzy filtering for robust bioconcentration factor modelling , 2009, Environ. Model. Softw..

[19]  Witold Pedrycz,et al.  A Tabu–Harmony Search-Based Approach to Fuzzy Linear Regression , 2011, IEEE Transactions on Fuzzy Systems.

[20]  Norbert Stoll,et al.  Fuzzy Filtering for an Intelligent Interpretation of Medical Data , 2007, 2007 IEEE International Conference on Automation Science and Engineering.

[21]  Chin-Teng Lin,et al.  Fuzzy neural network design using support vector regression for function approximation with outliers , 2005, 2005 IEEE International Conference on Systems, Man and Cybernetics.

[22]  Norbert Stoll,et al.  Robust Solution to Fuzzy Identification Problem with Uncertain Data by Regularization , 2004, Fuzzy Optim. Decis. Mak..

[23]  Francisco Herrera,et al.  A Fast and Scalable Multiobjective Genetic Fuzzy System for Linguistic Fuzzy Modeling in High-Dimensional Regression Problems , 2011, IEEE Transactions on Fuzzy Systems.

[24]  K. Thurow,et al.  Robust fuzzy mappings for QSAR studies. , 2007, European journal of medicinal chemistry.

[25]  Norbert Stoll,et al.  An energy-gain bounding approach to robust fuzzy identification , 2006, Autom..

[26]  Walmir M. Caminhas,et al.  Multivariable Gaussian Evolving Fuzzy Modeling System , 2011, IEEE Transactions on Fuzzy Systems.

[27]  Norbert Stoll,et al.  Stationary Fuzzy Fokker–Planck Learning and Stochastic Fuzzy Filtering , 2011, IEEE Transactions on Fuzzy Systems.

[28]  Jacek M. Leski,et al.  TSK-fuzzy modeling based on /spl epsiv/-insensitive learning , 2005, IEEE Transactions on Fuzzy Systems.

[29]  Zidong Wang,et al.  On Passivity and Passification of Stochastic Fuzzy Systems With Delays: The Discrete-Time Case , 2010, IEEE Trans. Syst. Man Cybern. Part B.

[30]  Norbert Stoll,et al.  On the Estimation of Parameters of Takagi–Sugeno Fuzzy Filters , 2009, IEEE Transactions on Fuzzy Systems.

[31]  Matthias Weippert,et al.  A mixture of fuzzy filters applied to the analysis of heartbeat intervals , 2010, Fuzzy Optim. Decis. Mak..

[32]  Norbert Stoll,et al.  Fuzzy Techniques for Subjective Workload-Score Modeling Under Uncertainties , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  T. A. Johansen,et al.  Robust identification of Takagi-Sugeno-Kang fuzzy models using regularization , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[34]  James Lam,et al.  Fuzzy-Model-Based Robust Fault Detection With Stochastic Mixed Time Delays and Successive Packet Dropouts , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[35]  Norbert Stoll,et al.  Robust Adaptive Identification of Fuzzy Systems with Uncertain Data , 2004, Fuzzy Optim. Decis. Mak..

[36]  Jacqueline Christmas,et al.  Bayesian Spectral Analysis With Student-t Noise , 2014, IEEE Transactions on Signal Processing.

[37]  Michael I. Jordan,et al.  Bayesian parameter estimation via variational methods , 2000, Stat. Comput..

[38]  Sangchul Won,et al.  A new approach to fuzzy modeling of nonlinear dynamic systems with noise: relevance vector learning mechanism , 2006, IEEE Transactions on Fuzzy Systems.

[39]  Gavin Brown,et al.  Ensemble Learning , 2010, Encyclopedia of Machine Learning and Data Mining.

[40]  Norbert Stoll,et al.  Fuzzy Handling of Uncertainties in Modeling the Inhibition of Glycogen Synthase Kinase-3 by Paullones , 2007, 2007 IEEE International Conference on Automation Science and Engineering.

[41]  Norbert Stoll,et al.  A robust design criterion for interpretable fuzzy models with uncertain data , 2006, IEEE Transactions on Fuzzy Systems.

[42]  Stephen P. Boyd,et al.  Fuzzy Filtering for Physiological Signal Analysis , 2010 .

[43]  David Barber,et al.  The IM algorithm: a variational approach to Information Maximization , 2003, NIPS 2003.

[44]  Matthew J. Beal.  Variational algorithms for approximate Bayesian inference , 2003 .

[45]  N. Stoll,et al.  Deterministic approach to robust adaptive learning of fuzzy models , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[46]  Xiaoou Li,et al.  Fuzzy identification using fuzzy neural networks with stable learning algorithms , 2004, IEEE Transactions on Fuzzy Systems.

[47]  R. Everson,et al.  Robust Autoregression: Student-t Innovations Using Variational Bayes , 2011, IEEE Transactions on Signal Processing.

[48]  Zidong Wang,et al.  Fuzzy Filtering With Randomly Occurring Parameter Uncertainties, Interval Delays, and Channel Fadings , 2014, IEEE Transactions on Cybernetics.

[49]  Matthias Weippert,et al.  Stress Monitoring Based on Stochastic Fuzzy Analysis of Heartbeat Intervals , 2012, IEEE Transactions on Fuzzy Systems.

[50]  Norbert Stoll,et al.  Variational Bayes for a Mixed Stochastic/Deterministic Fuzzy Filter , 2010, IEEE Transactions on Fuzzy Systems.

[51]  Chia-Feng Juang,et al.  Hierarchical Cluster-Based Multispecies Particle-Swarm Optimization for Fuzzy-System Optimization , 2010, IEEE Transactions on Fuzzy Systems.

[52]  Nikunj C. Oza,et al.  Online Ensemble Learning , 2000, AAAI/IAAI.

[53]  Xia Hong,et al.  Robust neurofuzzy rule base knowledge extraction and estimation using subspace decomposition combined with regularization and D-optimality , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[54]  Martin Burger,et al.  Regularized data-driven construction of fuzzy controllers , 2002 .

[55]  Chia-Feng Juang,et al.  TS-fuzzy system-based support vector regression , 2009, Fuzzy Sets Syst..