NEURAL MULTIGRID METHODS FOR GAUGE THEORIES AND OTHER DISORDERED SYSTEMS

M. Bäker, T. Kalkreuter, G. Mack and M. Speh
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M. Bäker: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany
T. Kalkreuter: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany
G. Mack: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany
M. Speh: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 02, 239-247

Abstract: We present evidence that multigrid works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder, but one needs to introduce a "neural computations" point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, then do the simulation (fast). The method can also be used to provide smooth interpolation kernels which are needed in multigrid Monte Carlo updates.

Keywords: Multigrid; Neural Networks; Disordered Systems; Gauge Fields; Neural Multigrid (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000252

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