Improved Experimental Results Using Fuzzy Lattice Neurocomputing (FLN) Classifiers

This work shows comparatively the capacity of five Fuzzy Lattice Neurocomputing (FLN) classifiers. The mechanics of the five classifiers are illustrated geometrically on the plane. Both learning and generalization are based on the computation of hyperboxes in space RN. Learning is memory-based, and polynomial O(n3) where n is the number of the training data. The problem of overfitting is ruled out by construction. In addition, a FLN classifier both induces rules from the training data and it is applicable beyond RN, in particular a FLN classifier is applicable in a mathematical lattice data domain hence disparate types of data can be dealt with in principle. Experimental results in three benchmark classification problems involving data sets of various sizes and various types, i.e. numerical/nominal data, compare favorably with the results by alternative classification methods from the literature. Various theoretical advantages are discussed.

[1]  Thomas G. Dietterich What is machine learning? , 2020, Archives of Disease in Childhood.

[2]  Stephen Grossberg,et al.  Classification of incomplete data using the fuzzy ARTMAP neural network , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[3]  J. Ross Quinlan,et al.  C4.5: Programs for Machine Learning , 1992 .

[4]  Douglas H. Fisher,et al.  Knowledge Acquisition Via Incremental Conceptual Clustering , 1987, Machine Learning.

[5]  Thomas M. Cover,et al.  Geometrical and Statistical Properties of Systems of Linear Inequalities with Applications in Pattern Recognition , 1965, IEEE Trans. Electron. Comput..

[6]  Bogdan Gabrys,et al.  Combining neuro-fuzzy classifiers for improved generalisation and reliability , 2002, Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290).

[7]  Nghiep Nguyen,et al.  Three improved fuzzy lattice neurocomputing (FLN) classifiers , 2003, Proceedings of the International Joint Conference on Neural Networks, 2003..

[8]  Vassilios Petridis,et al.  Fuzzy Lattice Neurocomputing (FLN) models , 2000, Neural Networks.

[9]  Georgios C. Anagnostopoulos,et al.  New geometric concepts in fuzzy-ART and fuzzy-ARTMAP: category regions , 2001, IJCNN'01. International Joint Conference on Neural Networks. Proceedings (Cat. No.01CH37222).

[10]  Catherine Blake,et al.  UCI Repository of machine learning databases , 1998 .

[11]  Vassilios Petridis,et al.  Fuzzy lattice neural network (FLNN): a hybrid model for learning , 1998, IEEE Trans. Neural Networks.

[12]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[13]  Pericles A. Mitkas,et al.  Applying Machine Learning Techniques on Air Quality Data for Real-Time Decision Support , 2003 .

[14]  Vassilios Petridis,et al.  Clustering and Classification in Structured Data Domains Using Fuzzy Lattice Neurocomputing (FLN) , 2001, IEEE Trans. Knowl. Data Eng..