Parallelization algorithms for modeling ARM processes

Abstract

AutoRegressive Modular (ARM) processes are a new class of nonlinear stochastic processes, which can accurately model a large class of stochastic processes, by capturing the empirical distribution and autocorrelation function simultaneously. Given an empirical sample path, the ARM modeling procedure consists of two steps: a global search for locating the minima of a nonlinear objective function over a large parametric space, and a local optimization of optimal or near optimal models found in the first step. In particular, since the first task calls for the evaluation of the objective function at each vector of the search space, the global search is a time consuming procedure. To speed up the computations, parallelization of the global search can be effectively used by partitioning the search space among multiple processors, since the requisite communication overhead is negligible.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2000
Source ID
10.1155/s1048953300000332

Entities

People

  • Benjamin Melamed
  • Santokh Singh

Organizations

  • Defense Advanced Research Projects Agency
  • Rutgers University

Tags

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Fluid Dynamics (CFD)
  • Statistical inference.

Technology Areas

  • Space