The capacity of the Hopfield associative memory
IEEE Transactions on Information Theory
Bidirectional associative memories
IEEE Transactions on Systems, Man and Cybernetics
Dynamic associative neural memories
Associative neural memories
Morphological bidirectional associative memories
Neural Networks
An Introduction to Morphological Neural Networks
ICPR '96 Proceedings of the International Conference on Pattern Recognition (ICPR '96) Volume IV-Volume 7472 - Volume 7472
Guest Editorial: Special Issue on Morphological Neural Networks
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Morphological shared-weight networks with applications to automatic target recognition
IEEE Transactions on Neural Networks
Morphological associative memories
IEEE Transactions on Neural Networks
A feedforward bidirectional associative memory
IEEE Transactions on Neural Networks
An efficient learning algorithm for associative memories
IEEE Transactions on Neural Networks
Fuzzy lattice reasoning (FLR) classifier and its application for ambient ozone estimation
International Journal of Approximate Reasoning
Enhanced fuzzy autoassociative morphological memory for binary pattern recall
SPPR'07 Proceedings of the Fourth conference on IASTED International Conference: Signal Processing, Pattern Recognition, and Applications
A general framework for fuzzy morphological associative memories
Fuzzy Sets and Systems
Morphological Hetero-Associative Memories Applied to Restore True-Color Patterns
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
A class of sparsely connected autoassociative morphological memories for large color images
IEEE Transactions on Neural Networks
Morphological auto-associative memories applied to true-color image patterns
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Enhanced fuzzy autoassociative morphological memory for binary pattern recall
SPPRA '07 Proceedings of the Fourth IASTED International Conference on Signal Processing, Pattern Recognition, and Applications
An introduction to the kosko subsethood FAM
HAIS'10 Proceedings of the 5th international conference on Hybrid Artificial Intelligence Systems - Volume Part II
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Morphological associative memories (MAMs) belong to the class of morphological neural networks. The recording scheme used in the original MAM models is similar to the correlation recording recipe. Recording is achieved by means of a maximum (MXY model) or minimum (WXY model) of outer products.Notable features of autoassociative morphological memories (AMMs) include optimal absolute storage capacity and one-step convergence. Heteroassociative morphological memories (HMMs) do not have these properties and are not very well understood. The fixed points of AMMs can be characterized exactly in terms of the original patterns. Unfortunately, AMM fixed points include a large number of spurious memories.In this paper, we combine the MXX model and variations of the kernel method to produce new autoassociative and heteroassociative memories. We also introduce a dual kernel method. A new, dual model is given by a combination of the WXX model and a variation of the dual kernel method. The new MAM models exhibit better error correction capabilities than MXX and WXX and a reduced number of spurious memories which can be easily described in terms of the fundamental memories.