Topology representing networks
Neural Networks
A stochastic self-organizing map for proximity data
Neural Computation
Classification on pairwise proximity data
Proceedings of the 1998 conference on Advances in neural information processing systems II
Self-Organizing Maps
How to make large self-organizing maps for nonvectorial data
Neural Networks - New developments in self-organizing maps
A generative probabilistic approach to visualizing sets of symbolic sequences
Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining
Kernel Neural Gas Algorithms with Application to Cluster Analysis
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
Recursive self-organizing network models
Neural Networks - 2004 Special issue: New developments in self-organizing systems
Self-organizing maps and clustering methods for matrix data
Neural Networks - 2004 Special issue: New developments in self-organizing systems
Neural Networks - 2006 Special issue: Advances in self-organizing maps--WSOM'05
Fuzzy classification by fuzzy labeled neural gas
Neural Networks - 2006 Special issue: Advances in self-organizing maps--WSOM'05
On the equivalence between kernel self-organising maps and self-organising mixture density networks
Neural Networks - 2006 Special issue: Advances in self-organizing maps--WSOM'05
Edit distance-based kernel functions for structural pattern classification
Pattern Recognition
Margin-based active learning for LVQ networks
Neurocomputing
Magnification control for batch neural gas
Neurocomputing
Neural gas clustering for dissimilarity data with continuous prototypes
IWANN'07 Proceedings of the 9th international work conference on Artificial neural networks
ANNPR'06 Proceedings of the Second international conference on Artificial Neural Networks in Pattern Recognition
Self-organizing maps, vector quantization, and mixture modeling
IEEE Transactions on Neural Networks
Patch Relational Neural Gas --- Clustering of Huge Dissimilarity Datasets
ANNPR '08 Proceedings of the 3rd IAPR workshop on Artificial Neural Networks in Pattern Recognition
Matrix Learning for Topographic Neural Maps
ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I
Median Topographic Maps for Biomedical Data Sets
Similarity-Based Clustering
Graph-Based Representation of Symbolic Musical Data
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Local matrix adaptation in topographic neural maps
Neurocomputing
Parallelized kernel patch clustering
ANNPR'10 Proceedings of the 4th IAPR TC3 conference on Artificial Neural Networks in Pattern Recognition
Semi-Supervised kernel clustering with sample-to-cluster weights
PSL'11 Proceedings of the First IAPR TC3 conference on Partially Supervised Learning
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We introduce relational variants of neural gas, a very efficient and powerful neural clustering algorithm, which allow a clustering and mining of data given in terms of a pairwise similarity or dissimilarity matrix. It is assumed that this matrix stems from Euclidean distance or dot product, respectively, however, the underlying embedding of points is unknown. One can equivalently formulate batch optimization in terms of the given similarities or dissimilarities, thus providing a way to transfer batch optimization to relational data. For this procedure, convergence is guaranteed and extensions such as the integration of label information can readily be transferred to this framework.