Local matrix adaptation in topographic neural maps
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چکیده
منابع مشابه
Local matrix adaptation in topographic neural maps
The self-organizing map (SOM) and neural gas (NG) and generalizations thereof such as the generative topographic map constitute popular algorithms to represent data by means of prototypes arranged on a (hopefully) topology representing map. However, most standard methods rely on the Euclidean metric, hence the resulting clusters are isotropic and they cannot account for local distorsions or cor...
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OF THE DISSERTATION Matrix Learning for Topographic Neural Maps
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We call "natural" image any photograph of an outdoor or indoor scene taken by a standard camera. We discuss the physical generation process of natural images as a combination of occlusions, transparencies and contrast changes. This description ts to the phenomeno-logical description of Gaetano Kanizsa according to which visual perception tends to remain stable with respect to these basic operat...
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Acknowledgements The authors are grateful to R. Der and T. Martinetz for useful discussions and to the reviewers for valuable comments. Abstract Neural maps combine the representation of data by codebook vectors, like a vector quantizer, with the property of topography, like a continuous function. While the quantization error is simple to compute and to compare between diierent maps, topography...
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The construction of topographic models for fitting a model to the data set requires selection of appropriate values for its parameters. Since the parameters control the flexibility of the model, the generalization problem is directly related to parameter selection. This paper addresses this problem, using a novel criterion for monitoring topographic maps in which the key observation is that we ...
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ژورنال
عنوان ژورنال: Neurocomputing
سال: 2011
ISSN: 0925-2312
DOI: 10.1016/j.neucom.2010.08.016