N-BODY CLASSICAL SYSTEMS AND NEURAL NETWORKS ON A 3D SIMD MASSIVE PARALLEL PROCESSOR: APE100/QUADRICS

P.S. Paolucci
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P.S. Paolucci: Ape100 Group, INFN Roma, Dipartimento di Fisica, Universita’ di Roma, “La Sapienza”, P. le Aldo Moro 5, 00185 Roma, Italy

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 02, 169-182

Abstract: A number of physical systems (e.g.,Nbody Newtonian, Coulombian or Lennard-Jones systems) can be described byN2interaction terms. Completely connected neural networks are characterised by the same kind of connections: Each neuron sends signals to all the other neurons via synapses. The APE100/Quadricsmassive parallel architecture, with processing power in excess of 100 Gigaflops and a central memory of 8 Gigabytes seems to have processing power and memory adequate to simulate systems formed by more than 1 billion synapses or interaction terms. On the other hand the processing nodes of APE100/Quadrics are organised in a tridimensional cubic lattice; each processing node has a direct communication path only toward the first neighboring nodes. Here we describe a convenient way to map systems with global connectivity onto the first-neighbors connectivity of the APE100/Quadrics architecture. Some numeric criteria, which are useful for matching SIMD tridimensional architectures with globally connected simulations, are introduced.

Keywords: 3D Mesh Networks; SIMD Massive Parallel Computers; Neural Networks; N-Body Systems; APE100/Quadrics Parallel Computer (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1142/S0129183195000137

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