Minimax dendrite computation

Intelligent Engineering Systems Through Artificial Neural Networks

Volumn 12, Issue , 2002, Pages 75-80

  Ritter, Gerhard X ^a   Urcid, Gonzalo ^b   Selfridge, Ralph ^a  

^a UNIVERSITY OF FLORIDA   (United States)

^b INSTITUTO NACIONAL DE ASTROFÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; MORPHOLOGY; NEUROLOGY;

NEURONS;

NEURAL NETWORKS;

EID: 0037002434     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. Cuninghame-Green, R., 1979; Minimax Algebra: Lecture Notes in Economies and Mathematical Systems, Vol. 166, Springer Verlag, New York.
2. Davidson, J.L. and Ritter, G.X., 1990, "A theory of morphological neural networks," in Proc. SPIE Digital Optical Computing II, Vol. 1215, pp. 378-388.
3. Davidson, J.L., 1992, "Simulated annealing and morphological neural networks," in Proc. SPIE Image Algebra and Morphological Image Processing III, Vol. 1769, San Diego, CA, pp. 119-127.
4. Davidson, J.L. and Hummer, F., 1993, "Morphology neural networks: An introduction with applications," IEEE Systems and Signal Processing, Vol. 12(2), pp. 177-210.
5. Davidsan, J.L. and Talukder, A., 1993, "Template identification using simulated annealing in morphology neural networks," in 2nd Annual Midwest Electro-Technology Conf., Ames, IA, pp. 64-67.
6. Holmes, W.R. and Rall, W., 1992, "Electronic Models of Neuron Dendrites and Single Neuron Computation" in Single Neuron Computation, T. McKenna, J. Davis, S.F. Zornetzer, Eds., Academic Press, San Diego, pp. 7-25.
7. Koch, C. and Segev, I., Eds., 1989, Methods in Neuronal Modeling: From Synapses to Networks, MIT Press, Boston.
8. Mel, B.W., 1993, "Synaptic integration in excitable dendritic trees," Journal of Neurophysiology, Vol.70, pp. 1086-1101.
9. Rall, W. and Segev, I., 1987, "Functional possibilities for synapses on dendrites and dendritic spines" in Synaptic Function, G.M. Edelman, E.E. Gall, and W.M. Cowan, Eds., Wiley, NY, pp. 605-636.
10. Ritter, G.X., Li, D., and Wilson, J.N., 1989, "Image algebra and its relationship to neural networks," in Proc. SPIE Aerospace Pattern Recognition, Vol. 1098, pp. 90.
11. Ritter, G.X. and Davidson, J.L., 1990, "Recursion and feedback in image algebra," in Proc. SPIE 19th AIPR Workshop on Image Understanding, McLean, VA.
12. Ritter, G.X. and Sussner, P., 1996, "An introduction to morphological neural networks," in Proc. 13th International Conf. Pattern Recognition, Vienna, Austria, pp. 709-717.
13. Ritter, G.X. and Sussner, P., 1997, "Morphological perceptrons," in ISAS'97, Intelligent Systems and Semiotics, Gaithersburg, Maryland, pp. 221-226.
14. Ritter, G.X. and Beavers, T., 1999, "An introduction to morphological perceptrons," in ANNIE'99, St. Louis, MO. Artificial Neural Networks in Engineering.
15. Ritter, G.X. and Urcid, G., 2002 "Lattice algebra approach to single neuron computation," submitted to the IEEE Transactions on Neural Networks.
16. Segev, I., 1998, "Dendritic Processing" in The Handbook of Brain Theory and Neural Networks, M. Arbib, Ed., MIT Press, Boston, pp. 282-289.
17. Shepherd, G.M., 1992, "Canonical Neurons and their Computational Organization" in Single Neuron Computation, T. McKenna, J. Davis, S.F. Zornetzer, Eds., Academic Press, San Diego, pp. 27-55.
18. Suarez-Araujo, C.P. and Ritter, G.X., 1992, "Morphological neural networks and image algebra in artificial perception systems," in Proc. SPIE Image Algebra and Morphological Image Processing III, Vol. 1769, San Diego, CA, pp. 128-142.
19. Suarez-Araujo, C.P., 1997, "Novel neural network models for computing homothetic invariances: An image algebra notation," Journal of Mathematical Imaging and Vision, vol. 7(1), pp. 69-83.
20. Won, Y. and Cader, P.D., 1995, "Morphological shared weight neural network for pattern classification and automatic target detection," in Proc. IEEE International Conference on Neural Networks, Perth Western Australia.
21. Won, Y., Cader, P.D., and Coffield, P., 1997, "Morphological shared-weight networks with applications to automatic target recognition," IEEE Transactions on Neural Networks, Vol. 8(5), pp. 1195-1203.