The Meaningful Fractal Fuzzy Dimension applied to the design of self organizing maps
作者： Sarajane M. Peres , Marcio L. de A. Netto
DOI: 10.1109/IJCNN.2008.4633964
关键词: Mathematics 、 Measure (mathematics) 、 Lebesgue covering dimension 、 Data mining 、 Fuzzy logic 、 Fractal analysis 、 A priori and a posteriori 、 Self-organizing map 、 Dimension (vector space) 、 Fractal
摘要: This paper presents the principal results of a detailed study about use meaningful fractal fuzzy dimension measure in problem determining adequately topological output space self-organizing map. is conceived by combining fractals theory and approximate reasoning. In this work was applied on dataset order to obtain priori knowledge, which used support decision making SOM design. Several maps were designed with approach their evaluations are discussed here.
sci-hub.se 参考文章(18)
Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Chaos and Fractals Chaos and Fractals. ,(2004) , 10.1007/978-1-4757-4740-9
Pasi Koikkalainen, Progress with the tree-structured self-organizing map european conference on artificial intelligence. pp. 211- 215 ,(1994)
Daniel Barbará, Ping Chen, Using Self-Similarity to Cluster Large Data Sets Data Mining and Knowledge Discovery. ,vol. 7, pp. 123- 152 ,(2003) , 10.1023/A:1022493416690
Daniel Barbará, Ping Chen, Zohreh Nazeri, Self-Similar Mining of Time Association Rules Advances in Knowledge Discovery and Data Mining. pp. 86- 95 ,(2004) , 10.1007/978-3-540-24775-3_11
Pentti Kanerva, Sparse Distributed Memory ,(1988)
Sarajane Marques Peres, Márcio Luiz de Andrade Netto, A Fractal Fuzzy Approach to Clustering Tendency Analysis Advances in Artificial Intelligence – SBIA 2004. pp. 395- 404 ,(2004) , 10.1007/978-3-540-28645-5_40
Kevin Beyer, Jonathan Goldstein, Raghu Ramakrishnan, Uri Shaft, When Is ''Nearest Neighbor'' Meaningful? international conference on database theory. pp. 217- 235 ,(1999) , 10.1007/3-540-49257-7_15
Agma J. M. Traina, Caetano Traina, Leejay Wu, Christos Faloutsos, Fast feature selection using fractal dimension Journal of Information and Data Management. ,vol. 1, pp. 3- 16 ,(2010)
O. Castillo, P. Melin, A new method for fuzzy estimation of the fractal dimension and its applications to time series analysis and pattern recognition north american fuzzy information processing society. pp. 451- 455 ,(2000) , 10.1109/NAFIPS.2000.877472
RISTO MUKKULAINEN, None, Script Recognition with Hierarchical Feature Maps Connection Science. ,vol. 2, pp. 83- 101 ,(1990) , 10.1080/09540099008915664