Nonlinear Projection Using Geodesic Distances and the Neural Gas Network

2006 ◽  
pp. 464-473 ◽  
Author(s):  
Pablo A. Estévez ◽  
Andrés M. Chong ◽  
Claudio M. Held ◽  
Claudio A. Perez
Keyword(s):  
Gas Network ◽  
Neural Gas ◽  
Nonlinear Projection ◽  
Geodesic Distances

scholarly journals Evaluation of different chrominance models in the detection and reconstruction of faces and hands using the growing neural gas network

2019 ◽  
Vol 22 (4) ◽  
pp. 1667-1685 ◽  
Author(s):  
Anastassia Angelopoulou ◽  
Jose Garcia-Rodriguez ◽  
Sergio Orts-Escolano ◽  
Epaminondas Kapetanios ◽  
Xing Liang ◽  
...  
Keyword(s):  
Growing Neural Gas ◽  
Gas Network ◽  
Neural Gas

A k-mer-based barcode DNA classification methodology based on spectral representation and a neural gas network

2015 ◽  
Vol 64 (3) ◽  
pp. 173-184 ◽  
Author(s):  
Antonino Fiannaca ◽  
Massimo La Rosa ◽  
Riccardo Rizzo ◽  
Alfonso Urso
Keyword(s):  
Spectral Representation ◽  
Gas Network ◽  
Neural Gas ◽  
Barcode Dna

scholarly journals Surface Approximation using Growing Self-Organizing Nets and Gradient Information

2007 ◽  
Vol 4 (3) ◽  
pp. 125-136 ◽  
Author(s):  
Jorge Rivera-Rovelo ◽  
Eduardo Bayro-Corrochano
Keyword(s):  
Neural Networks ◽  
Geometric Algebra ◽  
Mr Images ◽  
3D Object ◽  
Gas Network ◽  
Neural Gas ◽  
Gradient Information ◽  
Surface Estimation ◽  
Space Coordinate ◽  
Self Organizing

In this paper we show how to improve the performance of two self-organizing neural networks used to approximate the shape of a 2D or 3D object by incorporating gradient information in the adaptation stage. The methods are based on the growing versions of the Kohonen's map and the neural gas network. Also, we show that in the adaptation stage the network utilizes efficient transformations, expressed as versors in the conformal geometric algebra framework, which build the shape of the object independent of its position in space (coordinate free). Our algorithms were tested with several images, including medical images (CT and MR images). We include also some examples for the case of 3D surface estimation.

Small mammographic lesions evaluation based on neural gas network

2007 ◽  
Author(s):  
Oliver Lange ◽  
Anke Meyer-Baese ◽  
Axel Wismueller
Keyword(s):  
Gas Network ◽  
Neural Gas
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