The Neural Solids; For optimization problems

摘要

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.