High order correlation model for associative memory
AIP Conference Proceedings 151 on Neural Networks for Computing
Basins of attraction of neural network models
AIP Conference Proceedings 151 on Neural Networks for Computing
The capacity of the Hopfield associative memory
IEEE Transactions on Information Theory
Bidirectional associative memories
IEEE Transactions on Systems, Man and Cybernetics
Morphology neural networks: an introduction with applications
Circuits, Systems, and Signal Processing - Special issue: networks for neural processing
Novel Neural Network Models for Computing HomotheticInvariances: An Image Algebra Notation
Journal of Mathematical Imaging and Vision
Morphological bidirectional associative memories
Neural Networks
Recognition of Character Using a Morphological Associative Memory
SIBGRAPI '01 Proceedings of the 14th Brazilian Symposium on Computer Graphics and Image Processing
An Introduction to Morphological Neural Networks
ICPR '96 Proceedings of the International Conference on Pattern Recognition (ICPR '96) Volume IV-Volume 7472 - Volume 7472
Morphological shared-weight networks with applications to automatic target recognition
IEEE Transactions on Neural Networks
Morphological associative memories
IEEE Transactions on Neural Networks
A modified Hopfield auto-associative memory with improved capacity
IEEE Transactions on Neural Networks
Theoretical limitations of a Hopfield network for crossbar switching
IEEE Transactions on Neural Networks
Cooperative updating in the Hopfield model
IEEE Transactions on Neural Networks
Hopfield neural networks for affine invariant matching
IEEE Transactions on Neural Networks
On Endmember Detection in Hyperspectral Images with Morphological Associative Memories
IBERAMIA 2002 Proceedings of the 8th Ibero-American Conference on AI: Advances in Artificial Intelligence
Journal of Mathematical Imaging and Vision
A New Two-Level Associative Memory for Efficient Pattern Restoration
Neural Processing Letters
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
Morphological neural networks and vision based simultaneous localization and mapping
Integrated Computer-Aided Engineering - Artificial Neural Networks
Neuro-fuzzy System for Road Signs Recognition
ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I
Hetero-Associative Memories for Voice Signal and Image Processing
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
Voice Translator Based on Associative Memories
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks, Part II
Lattice Independence and Vision Based Mobile Robot Navigation
KES '07 Knowledge-Based Intelligent Information and Engineering Systems and the XVII Italian Workshop on Neural Networks on Proceedings of the 11th International Conference
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
On the application of Associative Morphological Memories to Hyperspectral Image Analysis
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
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
Morphological independence for landmark detection in vision based SLAM
IWANN'07 Proceedings of the 9th international work conference on Artificial neural networks
A lattice computing approach for on-line fMRI analysis
Image and Vision Computing
A lattice matrix method for hyperspectral image unmixing
Information Sciences: an International Journal
Lattice independent component analysis for functional magnetic resonance imaging
Information Sciences: an International Journal
A new bi-directional associative memory
MICAI'06 Proceedings of the 5th Mexican international conference on Artificial Intelligence
Associative memories applied to image categorization
CIARP'06 Proceedings of the 11th Iberoamerican conference on Progress in Pattern Recognition, Image Analysis and Applications
Morphological neural networks and vision based mobile robot navigation
ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
Median hetero-associative memories applied to the categorization of true-color patterns
HAIS'10 Proceedings of the 5th international conference on Hybrid Artificial Intelligence Systems - Volume Part II
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Morphological neural networks are based on a new paradigm for neural computing. Instead of adding the products of neural values and corresponding synaptic weights, the basic neural computation in a morphological neuron takes the maximum or minimum of the sums of neural values and their corresponding synaptic weights. By taking the maximum (or minimum) of sums instead of the sum of products, morphological neuron computation is nonlinear before thresholding. As a consequence, the properties of morphological neural networks are drastically different than those of traditional neural network models. In this paper we restrict our attention to morphological associative memories. After a brief review of morphological neural computing and a short discussion about the properties of morphological associative memories, we present new methodologies and associated theorems for retrieving complete stored patterns from noisy or incomplete patterns using morphological associative memories. These methodologies are derived from the notions of morphological independence, strong independence, minimal representations of patterns vectors, and kernels. Several examples are provided in order to illuminate these novel concepts.