SC is the International Conference for
 High Performnance Computing, Networking, Storage and Analysis

SCHEDULE: NOV 13-19, 2010

Parallel Fast Gauss Transform

SESSION: Math Library Parallelization

EVENT TYPE: Paper, Best Paper (BP) Finalist

TIME: 11:00AM - 11:30AM

SESSION CHAIR: Osni Marques

AUTHOR(S):Rahul S. Sampath, Hari Sundar, Shravan K. Veerapaneni

ROOM:393

ABSTRACT:
We present fast adaptive parallel algorithms to compute the sum of N Gaussians at N points. Direct sequential computation of this sum would take O(N2) time. The parallel time complexity estimates for our algorithms are O(N/np) for uniform point distributions and O( (N/np) log (N/np) + nplog np ) for non-uniform distributions using np CPUs. We incorporate a plane-wave representation of the Gaussian kernel which permits "diagonal translation". We use parallel octrees and a new scheme for translating the plane-waves to efficiently handle non-uniform distributions. Computing the transform to six-digit accuracy at 120 billion points took approximately 140 seconds using 4096 cores on the Jaguar supercomputer. Our implementation is "kernel-independent" and can handle other "Gaussian-type" kernels even when explicit analytic expression for the kernel is not known. These algorithms form a new class of core computational machinery for solving parabolic PDEs on massively parallel architectures.

Chair/Author Details:

Osni Marques (Chair) - Lawrence Berkeley National Laboratory

Rahul S. Sampath - Oak Ridge National Laboratory

Hari Sundar - Siemens

Shravan K. Veerapaneni - New York University

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The full paper can be found in the ACM Digital Library and IEEE Computer Society

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