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SCHEDULE: NOV 16-21, 2014
When viewing the Technical Program schedule, on the far righthand side is a column labeled "PLANNER." Use this planner to build your own schedule. Once you select an event and want to add it to your personal schedule, just click on the calendar icon of your choice (outlook calendar, ical calendar or google calendar) and that event will be stored there. As you select events in this manner, you will have your own schedule to guide you through the week.
A Computation- And Communication-Optimal Parallel Direct 3-Body Algorithm
SESSION: Parallel Algorithms
EVENT TYPE: Papers
TIME: 3:30PM - 4:00PM
SESSION CHAIR: Judith C. Hill
AUTHOR(S):Penporn Koanantakool, Katherine Yelick
ROOM:391-92
ABSTRACT:
Traditional particle simulation methods are used to calculate pairwise potentials, but some problems require 3-body potentials that calculate over triplets of particles. A direct calculation of 3-body interactions involves O(n^3) interactions, but has significant redundant computations that occur in a nested loop formulation. In this paper we explore algorithms for 3-body computations that simultaneously optimize three criteria: computation minimization through symmetries, communication optimality, and load balancing. We present a new 3-body algorithm that is both communication and computation optimal. Its optional replication factor, c, saves c^3 in latency (number of messages) and c^2 in bandwidth (volume), with bounded load-imbalance. We also consider the k-body case and discuss an algorithm that is optimal if there is a cutoff distance of less than 1/3 of the domain. The 3-body algorithm demonstrates 99% efficiency on tens of thousands of cores, showing strong scaling properties with order of magnitude speedups over the naïve algorithm.
Chair/Author Details:
Judith C. Hill (Chair) - Oak Ridge National Laboratory
Penporn Koanantakool - University of California, Berkeley
Katherine Yelick - Lawrence Berkeley National Laboratory
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