Title
The Neural Solids; For optimization problems
Abstract
The neural solids are novel neural networks devised for solving optimization problems. They are dual to Hopfield networks, but with a quartic energy function. These solids are open architectures, in the sense that different choices of the basic elements and interfacings solve different optimization problems. The basic element is the neural resonator (triangle for the three dimensional case), composed of resonant neurons underlying a self-organizing learning. This module is able to solve elementary optimization problems such as the search for the nearest orthonormal matrix to a given one. Then, an example of a more complex solid, the neural decomposer, whose architecture is composed of neural resonators and their mutual connections, is given. This solid can solve more complex optimization problems such as the decomposition of the essential matrix, which is a very important technique in computer vision.
Year
DOI
Venue
2001
10.1023/A:1009660910503
Neural Processing Letters
Keywords
Field
DocType
constrained optimization,essential matrix decomposition,Hopfield networks,matrix decomposition,polar decomposition,self organization,stucture from motion
Essential matrix,Stochastic neural network,Matrix decomposition,Algorithm,Duality (optimization),Artificial intelligence,Artificial neural network,Hopfield network,Optimization problem,Machine learning,Mathematics,Constrained optimization
Journal
Volume
Issue
ISSN
13
1
1573-773X
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Giansalvo Cirrincione112113.13
Maurizio Cirrincione212416.58