Polynomial-based radial basis function neural networks (P-RBF NNs) and their application to pattern classification

Applied Intelligence

Volumn 32, Issue 1, 2010, Pages 27-46

  Park, Byoung Jun ^a   Pedrycz, Witold ^b,c   Oh, Sung Kwun ^d  

^a Electronics and Telecommunications Research Institute (ETRI)   (South Korea)

^b UNIVERSITY OF ALBERTA   (Canada)

^c POLISH ACADEMY OF SCIENCES   (Poland)

^d Suwon University   (South Korea)

Author keywords

Fuzzy clustering; Pattern classification; Polynomial neural networks; Radial basis function neural networks; Two class discrimination

Indexed keywords

CLASS PATTERNS; COMPARATIVE ANALYSIS; CORRESPONDING CONCLUSIONS; DESIGN METHODOLOGY; EXPERIMENTAL APPLICATION; FUZZY C MEAN; PATTERN CLASSIFICATION; POLYNOMIAL NEURAL NETWORKS; PREDICTION CAPABILITY; PROPOSED ARCHITECTURES; RADIAL BASIS FUNCTION NEURAL NETWORKS; RBF NEURAL NETWORK; STANDARD NEURAL; UNIVERSAL APPROXIMATORS; USEFUL PROPERTIES;

ATTITUDE CONTROL; CLASSIFIERS; DECISION TREES; FUZZY CLUSTERING; FUZZY NEURAL NETWORKS; FUZZY SYSTEMS; LEARNING ALGORITHMS; POLYNOMIALS;

RADIAL BASIS FUNCTION NETWORKS;

EID: 75849141297     PISSN: 0924669X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10489-008-0133-z     Document Type: Article

References (40)

1. AK Jain PW Duin J Mao 2000 Statistical pattern recognition: a review IEEE Trans Pattern Anal Mach Intell 22 1 4 37 10.1109/34.824819 10.1109/34.824819 (Pubitemid 32132953)
2. C-L Liu H Sako 2006 Class-specific feature polynomial classifier for pattern classification and its application to handwritten numeral recognition Pattern Recognit 39 669 681 10.1016/j.patcog.2005.04.021 1122.68542 10.1016/j.patcog.2005.04.021 (Pubitemid 43199462)
3. GE Hinton P Dayan M Revow 1997 Modeling the manifolds of images of handwritten digits IEEE Trans Neural Netw 8 1 65 74 10.1109/72.554192 10.1109/72.554192
4. Kreel U, Schurmann J (1997) Pattern classification techniques based on function approximation. In: Bunke H, Wang PSP (eds) Handbook of character recognition and document image analysis. World Scientific, Singapore, pp 49-78
5. Shurmann J (1996) Pattern classification: a unified view of statistical and neural approaches. Wiley Interscience, New York
6. L Holmstrom P Koistinen J Laaksonen E Oja 1997 Neural and statistical classifiers-taxonomy and two case studies IEEE Trans Neural Netw 8 1 5 17 10.1109/72.554187 10.1109/72.554187
7. RP Lippman 1981 An introduction to computing with neural nets IEEE ASSP Mag 4 2 4 22 10.1109/MASSP.1987.1165576
8. A Patrikar J Provence 1992 Pattern classification using polynomial networks Electron Lett 28 12 1109 1110 10.1049/el:19920700 10.1049/el:19920700
9. F Ros M Pintore JR Chretien 2007 Automatic design of growing radial basis function neural networks based on neighborhood concepts Chemom Intell Lab Syst 87 231 240 10.1016/j.chemolab.2007.02.003 10.1016/j.chemolab.2007.02.003 (Pubitemid 46755422)
10. H Sarimveis P Doganis A Alexandridis 2006 A classification technique based on radial basis function neural networks Adv Eng Softw 37 218 221 10.1016/j.advengsoft.2005.07.005 10.1016/j.advengsoft.2005.07.005
11. MJ Er SQ Wu JW Lu HL Toh 2002 Face recognition with radical basis function (RBF) neural networks IEEE Trans Neural Netw 13 5 697 710
12. X-Y Jing Y-F Yao D Zhang J-Y Yang M Li 2007 Face and palmprint pixel level fusion and Kernel DCV-RBF classifier for small sample biometric recognition Pattern Recognit 40 3209 3224 10.1016/j.patcog.2007.01.034 1123.68361 10.1016/j.patcog.2007.01.034 (Pubitemid 46990434)
13. WM Campbell KT Assaleh CC Broun 2002 Speaker recognition with polynomial classifiers IEEE Trans Speech Audio Process 10 4 205 212 10.1109/TSA.2002. 1011533 10.1109/TSA.2002.1011533 (Pubitemid 34950285)
14. GL Giles T Maxwell 1987 Learning, invariance, and generalization in high-order neural networks Appl Opt 26 23 4972 4978 10.1364/AO.26.004972 (Pubitemid 18009624)
15. Pao YH (1989) Adaptive pattern recognition and neural networks. Addison-Wesley, Reading
16. YH Pao SM Phillips 1995 The functional link and learning optimal control Neurocomputing 9 149 164 10.1016/0925-2312(95)00066-F 0843.68103 10.1016/0925-2312(95)00066-F
17. CL Philip Chen SR LeClair YH Pao 1998 An incremental adaptive implementation of functional-link processing for function approximation, time-series prediction, and system identification Neurocomputing 18 11 31 10.1016/S0925-2312(97)00062-3 10.1016/S0925-2312(97)00062-3 (Pubitemid 28084294)
18. Y Al-Assaf H El Kadi 2007 Fatigue life prediction of composite materials using polynomial classifiers and recurrent neural networks Compos Struct 77 561 569 10.1016/j.compstruct.2005.08.012 10.1016/j.compstruct.2005.08.012 (Pubitemid 44689027)
19. C Zhang J Jiang M Kamel 2005 Intrusion detection using hierarchical neural networks Pattern Recognit Lett 26 779 791 10.1016/j.patrec.2004.09.045 10.1016/j.patrec.2004.09.045 (Pubitemid 40430497)
20. A Staiano R Tagliaferri W Pedrycz 2006 Improving RBF networks performance in regression tasks by means of a supervised fuzzy clustering Neurocomputing 69 1570 1581 10.1016/j.neucom.2005.06.014 10.1016/j.neucom.2005.06.014 (Pubitemid 43906053)
21. A Aiyer K Pyun YZ Huang DB O'Brien RM Gray 2005 Lloyd clustering of Gauss mixture models for image compression and classification Signal Process Image Commun 20 459 485 10.1016/j.image.2005.03.003 10.1016/j.image.2005.03.003
22. Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum, New York
23. Nikolaev N, Iba H (2002) Genetic programming of polynomial models for financial forecasting. In: Chen S-H (ed) Genetic algorithms and genetic programming in computational finance. Kluwer Academic, Boston, pp 103-123
24. Janczak A (2005) Identification of nonlinear systems using neural networks and polynomial models: a block-oriented approach. In: Lecture notes in control and information sciences. Springer, New York, pp 1-30
25. S-K Oh W Pderycz B-J Park 2004 Self-organizing neurofuzzy networks in modeling software data Fuzzy Sets Syst 145 165 181 10.1016/j.fss.2003.10.009 10.1016/j.fss.2003.10.009
26. Duda RO, Hart PE, Stork DG (2000) Pattern classification, 2nd edn. Wiley-Interscience, New York
27. JE Munoz-Exposito S Garcia-Galan N Ruiz-Reyes P Vera-Candeas 2007 Adaptive network-based fuzzy inference system vs. other classification algorithms for warped LPC-based speech/music discrimination Eng Appl Artif Intell 20 783 793 10.1016/j.engappai.2006.10.007 10.1016/j.engappai.2006.10.007 (Pubitemid 46962286)
28. Bugmann G (1998) Classification using networks of normalized radial basis functions. In: Proceedings of international conference on advances in pattern recognition (ICAPR'98), pp 435-444
29. DS Phatak I Koren 1994 Connectivity and performance tradeoffs in the cascade correlation learning architecture IEEE Trans Neural Netw 5 6 930 935 10.1109/72.329690 10.1109/72.329690
30. PK Simpson 1993 Fuzzy min-max neural networks, Part 2: clustering IEEE Trans Fuzzy Syst 1 1 32 45 10.1109/TFUZZ.1993.390282 10.1109/TFUZZ.1993.390282
31. X Zhang G Dong K Ramamohanarao 2000 Information-based classification by aggregating emerging patterns Lect Notes Comput Sci 1983 48 53
32. Z Lin S Weng C Zhang N Lu Z Xia 2004 Learning the supervised NLDR mapping for classification Lect Notes Comput Sci 3173 900 905
33. Li T, Zhu S, Ogihara M (2003) Using discriminant analysis for multi-class classification. In: Third IEEE international conference on data mining, pp 589-592
34. Dzeroski S, Zenko B (2002) Stacking with multi-response model trees. In: Proceedings of the third international workshop on multiple classifier systems, pp 201-211
35. MA Tahir A Bouridane F Kurugollu 2007 Simultaneous feature selection and feature weighting using hybrid tabu Search/k-nearest neighbor classifier Pattern Recognit Lett 28 438 446 10.1016/j.patrec.2006.08.016 10.1016/j.patrec.2006.08. 016 (Pubitemid 44918133)
36. AJ Perez-Jimenez JC Perez-Cortes 2006 Genetic algorithms for linear feature extraction Pattern Recognit Lett 27 1508 1514 10.1016/j.patrec.2006.02. 011 10.1016/j.patrec.2006.02.011 (Pubitemid 44037109)
37. T Mu AK Nandi 2007 Breast cancer detection from FNA using SVM with different parameter tuning systems and SOM-RBF classifier J Franklin Inst 344 285 311 10.1016/j.jfranklin.2006.09.005 1115.92033 10.1016/j.jfranklin.2006.09. 005 2314652 (Pubitemid 46466773)
38. SY Ho HM Chen SJ Ho TK Chen 2004 Design of accurate classifiers with a compact fuzzy-rule base using an evolutionary scatter partition of feature space IEEE Trans Syst Man Cybern B 34 2 1031 1044 10.1109/TSMCB.2003.819160
39. W Lam C Keung CX Ling 2002 Learning good prototypes for classification using filtering and abstraction of instances Pattern Recognit 35 7 1491 1506 10.1016/S0031-3203(01)00131-5 1016.68090 10.1016/S0031-3203(01)00131-5 (Pubitemid 34440049)
40. M Rocha P Cortez J Neves 2005 Simultaneous evolution of neural network topologies and weights for classification and regression Lect Notes Comput Sci 3512 59 66