Hierarchical mixtures of experts and the EM algorithm
Neural Computation
Self-organizing maps
GTM: the generative topographic mapping
Neural Computation
Discovering Multiple Constraints that are Frequently Approximately Satisfied
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Maximum and Minimum Likelihood Hebbian Learning for Exploratory Projection Pursuit
Data Mining and Knowledge Discovery
The topographic product of experts
ICANN'05 Proceedings of the 15th international conference on Artificial Neural Networks: biological Inspirations - Volume Part I
Local vs global interactions in clustering algorithms: Advances over K-means
International Journal of Knowledge-based and Intelligent Engineering Systems
Topology perserving mappings using cross entropy adaptation
AIKED'08 Proceedings of the 7th WSEAS International Conference on Artificial intelligence, knowledge engineering and data bases
Clustering with alternative similarity functions
AIKED'08 Proceedings of the 7th WSEAS International Conference on Artificial intelligence, knowledge engineering and data bases
Reinforcement Learning Reward Functions for Unsupervised Learning
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Nonlinear Principal Manifolds --- Adaptive Hybrid Learning Approaches
HAIS '08 Proceedings of the 3rd international workshop on Hybrid Artificial Intelligence Systems
A novel construction of connectivity graphs for clustering and visualization
WSEAS Transactions on Computers
The on-line cross entropy method for unsupervised data exploration
WSEAS Transactions on Mathematics
Immediate Reward Reinforcement Learning for Clustering and Topology Preserving Mappings
Similarity-Based Clustering
Stochastic weights reinforcement learning for exploratory data analysis
ICANN'07 Proceedings of the 17th international conference on Artificial neural networks
Visualising and clustering video data
IDEAL'07 Proceedings of the 8th international conference on Intelligent data engineering and automated learning
Clustering with reinforcement learning
IDEAL'07 Proceedings of the 8th international conference on Intelligent data engineering and automated learning
Adaptive nonlinear manifolds and their applications to pattern recognition
Information Sciences: an International Journal
Particle swarm optimization in exploratory data analysis
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part II
Manifold elastic net: a unified framework for sparse dimension reduction
Data Mining and Knowledge Discovery
Multi-layer topology preserving mapping for K-means clustering
IDEAL'11 Proceedings of the 12th international conference on Intelligent data engineering and automated learning
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
A family of novel clustering algorithms
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
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We review a new form of self-organizing map which is based on a nonlinear projection of latent points into data space, identical to that performed in the Generative Topographic Mapping (GTM) [Bishop et al. (1997) Neurl Comput 10(1): 215---234]. But whereas the GTM is an extension of a mixture of experts, our new model is an extension of a product of experts [Hinton (2000) Technical report GCNU TR 2000-004, Gatsby Computational Neuroscience Unit, University College, London]. We show visualisation results on some real data sets and compare with the GTM. We then introduce a second mapping based on harmonic averages and show that it too creates a topographic mapping of the data. We compare these mappings on real and artificial data sets.