An introduction to morphological perceptrons with competitive learning

Proceedings of the International Joint Conference on Neural Networks

Volumn , Issue , 2009, Pages 3024-3031

  Sussner, Peter ^a   Esmi, Estevão Laureano ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL NEURAL NETWORK; BINARY CLASSIFICATION PROBLEMS; COMPETITIVE LEARNING; DATA SETS; DECISION SURFACES; MORPHOLOGICAL NEURAL NETWORKS; NEW MODEL; OUTPUT LAYER; OUTPUT NEURONS; PERCEPTRON; SIMPLE MODEL; WINNER TAKE ALLS;

LEARNING ALGORITHMS; NEURAL NETWORKS; PATTERN RECOGNITION SYSTEMS;

MATHEMATICAL MORPHOLOGY;

EID: 70449413930     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IJCNN.2009.5178860     Document Type: Conference Paper

References (43)

1. G. X. Ritter and P. Sussner, "An introduction to morphological neural networks, " Proceedings of ICPR 1996, Vienna, Austria, 1996.
2. G. X. Ritter and P. Sussner, "Morphological perceptrons, " ISAS'97, Intelligent Systems and Semiotics, Gaithersburg, Maryland, 1997.
3. P. Sussner, "Morphological perceptron learning, " Proc. of the IEEE Int. Symp. on Intelligent Control, Gaithersburg, MD, pp. 477-482, 1998.
4. G. X. Ritter and G. Urcid, "Lattice algebra approach to single-neuron computation, " IEEE Transactions on Neural Networks, vol. 14, no. 2, pp. 282-295, Mar. 2003.
5. P. Sussner and M. E. Valle, "Grayscale morphological associative memories, " IEEE Transactions on Neural Networks, vol. 17, no. 3, pp. 559-570, May. 2006.
6. M. E.. Valle and P. Sussner, "A general framework for fuzzy morphological associative memories, " Fuzzy Sets and Systems, vol. 159, no. 7, pp. 747-768, Apr. 2008.
7. P. Sussner and M. E. Valle, "Morphological and Certain Fuzzy Morphological Associative Memories for Classification and Prediction, " Studies in Computational Intelligence: Computational Intelligence Based on Lattice Theory, VG. Kaburlasos and G. X. Ritter, eds., vol. 67, pp. 149-173, Springer Verlag, Heidelberg, Germany, 2007.
8. P. Sussner and M. E. Valle, "Implicative fuzzy associative memories, " IEEE Transactions on Fuzzy Systems, vol. 14, no. 6, pp. 793-807, Dec. 2006.
9. R. A. Araújo, F. Madeiro and L. F. C. Pessoa, "Modular morphological neural network training via adaptive genetic algorithm for design translation invariant operators, " Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, Toulouse, France, May. 2006.
10. A. K. Hocaoglu and P. D. Gader, "Domain learning using Choquet integral-based morphological shared weight neural networks, " Image and Vision Computing, vol. 21, no. 7, pp. 663-673, 2003.
11. M. A. Khabou and P. D. Gader, "Automatic target detection using entropy optimized shared-weight neural networks, " IEEE Transactions on Neural Networks, vol. 11, no. 1, pp. 186-193, Jan. 2000.
12. VG. Kaburlasos and V Petridis, "Fuzzy lattice neurocomputing (FLN) models, " Neural Networks, vol. 13, no. 10, pp. 1145-1170, 2000.
13. V Petridis and VG. Kaburlasos, "Fuzzy lattice neural network (FLNN) : a hybrid model for learning, " IEEE Transactions on Neural Networks, vol. 9, no. 5, pp. 877-890, Sep. 1998.
14. P. Sussner and E. L. Esmi, "Constructive morphological neural networks: some theoretical aspects and experimental results in classification, " Studies in Computational Intelligence, J. Kacprzyk ed., Springer Verlag, Heidelberg, Germany, invited contribution, submitted, 2009.
15. L. F. C. Pessoa and P. Maragos, "Neural networks with hybrid morphological/rank/linear nodes: a unifying framework with applications to handwritten character recognition, " Pattern Recognition, vol. 33, pp. 945-960, 2000.
16. M. A. Khabou, P. D. Gader and J. M. Keller, "LADAR target detection using morphological shared-weight neural networks, " Machine Vision and Applications, vol. 11, no. 6, pp. 300-305, Apr. 2000.
17. R. A. Araújo, R. Madeiro, R. P. Sousa, L. F. C Pessoa and T. A. E. Ferreira, "An evolutionary morphological approach for financial time series forecasting, " Proceedings of the IEEE Congress on Evolutionary Computation, Vancouver, Canada, pp. 2467-2474, 2006.
18. P. D. Gader, M. Khabou and A. Koldobsky, "Morphological regularization neural networks, " Pattern Recognition, Special Issue on Mathematical Morphology and Its Applications, vol. 33, no. 6, pp. 935-945, Jun. 2000.
19. B. Raducanu and M. Graña and X. F. Albizuri, "Morphological scale spaces and associative morphological memories: results on robustness and practical applications, " Journal of Mathematical Imaging and Vision, vol. 19, no. 2, pp. 113-131, 2003.
20. M. Graña, J. Gallego, F. J. Torrealdea and A. D'Anjou, "On the application of associative morphological memories to hyperspectral image analysis, " Lecture Notes in Computer Science, vol. 2687, pp. 567-574, 2003.
21. G. J. F. Banon and J. Barrera, "Decomposition of mappings between complete lattices by mathematical porphology, part 1: general lattices, " Signal Processing, vol. 30, no. 3, pp. 299-327, Feb. 1993.
22. H. J. A. M. Heijmans, Morphological Image Operators. Academic Press, New York, NY, 1994.
23. C. Ronse, "Why mathematical morphology needs complete lattices, " Signal Processing, vol. 21, no. 2, pp. 129-154, Oct. 1990.
24. J. Serra, Image Analysis and Mathematical Morphology, Volume 2: Theoretical Advances. Academic Press, New York, NY, 1988.
25. G. A. Grätzer, Lattice theory : First Concepts and Distributive Lattices. W. H. Freeman, San Francisco, CA, 1971.
26. G. Birkhoff, Lattice Theory. American Mathematical Society, Providence, RI, 1993.
27. R. Cuninghame-Green, Minimax Algebra: Lecture Notes in Economics and Mathematical Systems 166. Springer-Verlag, New York, NY, 1979.
28. R. Cuninghame-Green, Minimax Algebra and Applications: Advances in Imaging and Electron Physics. P. Hawkes, Academic Press, vol. 90, pp. 1-121, New York, NY, 1995.
29. B. Carré, "An algebra for network routing problems, " J. Inst. Math. Appl., vol. 7, pp. 273-294, 1971.
30. R. Cuninghame-Green and P. F. J. Meijer, "An algebra for piecewiselinear minimax problems, " Discrete Applied Mathematics, vol. 2, no. 4, pp. 267-286, 1980.
31. U. Zimmermann, Linear amd Combinatorial Optimization of Ordered Algebraic Structu Res. North-Holland, Amsterdam, 1981.
32. J. L. Davidson, Foundation and Applications of Lattice Transforms in Image Processing: Advances in Electronics and Electron Physics. P. Hawkes, Academic Press, vol. 84, pp. 61-130, New York, NY, 1992.
33. A. S. Monteiro and P. Sussner, "A brief review and comparison of feedforward morphological neural networks with applications to classification, " Lecture Notes in Computer Science, Proceedings of the 18th International Conference on Artificial Neural Networks, Prague, Czech Republic, Sep. 2008.
34. I. Segev, Dendritic Processing: The Handbook of Brain Theory and Neural Networks. M. A. Arbib, ed., MIT Press, Cambridge, MA, U. S. A, 1998.
35. G. X. Ritter, L. Iancu and G. Urcid, "Morphological perceptrons with dendritic structure, " Fuzzy Systems, The 12th IEEE International Conference, vol. 2, pp. 1296-1301, May. 2003.
36. L. A. Zadeh, "Fuzzy sets, " Information and Control, vol. 8, no. 3, pp. 338-353, 1965.
37. G. Carpenter and S. Grossberg, "Hierarchical search using chemical transmitters in self-organizing pattern recognition architectures, " Neural Networks, vol. 3, no. 3, pp. 129-152, 1990.
38. VG. Kaburlasos, I. N. Athanasiadis and P. A. Mitkas, "Fuzzy lattice reasoning (FLR) classifier and its application for ambient ozone estimation, " International Journal of Approximate Reasoning, vol. 45, no. 1, pp. 152-188, May. 2007.
39. R. P. Lippmann, "An introduction to computing with neural nets, " IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. ASSP-4, pp. 4-22, 1987.
40. B. D. Ripley, Datasets for pattern recognition and neural networks, http://www.stats.ox.ac.uk/pub/PRNN/, Cambridge University Press, Cambridge, UK, 1996.
41. A. Asuncion and D. J. Newman, UCI Repository of machine learning databases, http://www.ics. uci. edu/-mlearn/MLRepository. html, University of California, Irvine, CA, School of Information and Computer Sciences, 2007.
42. P. Soille, Morphological Image Analysis. Springer Verlag, Berlin, 1999.
43. N. Coskun and T. Yildirim, "The effects of training algorithms in MLP network on image classification, " International Joint Conference on Neural Networks, vol. 2, pp. 1223-1226, Jul. 2003.