Versamedium Web Services

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Executive Summary

An Internet web service is presented that solves ill-posed problems. The service is capable of solving complex linear and nonlinear problems in 1, 2 or 3 dimensions. In order to find a solution, the service uses a variation of the well known regularized least squares method implemented as a dynamical system based in Tank & Hopfield. The initial condition of the dynamics is represented by a model's arbitrary or "Recycled" configuration states. After the dynamics has taken place, the final configuration states represent the solution of the optimization problem. Solutions through time are regularized dynamically in the evolving model by means of local averaging together with a weighting parameter.

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