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Jacobian sparsity detection using Bloom filters

Journal Article · · Optimization Methods and Software
Determining Jacobian sparsity structure is an important step in the efficient computation of sparse Jacobians. We introduce a new method for determining Jacobian sparsity patterns by combining bit vector probing with Bloom filters. In conclusion, we further refine Bloom filter probing by combining it with hierarchical probing to yield a highly effective strategy for Jacobian sparsity pattern determination.
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2588216
Journal Information:
Optimization Methods and Software, Journal Name: Optimization Methods and Software; ISSN 1055-6788; ISSN 1029-4937
Publisher:
Informa UK LimitedCopyright Statement
Country of Publication:
United States
Language:
English

References (12)

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A minimal code list journal February 1999
Estimation of Sparse Jacobian Matrices and Graph Coloring Blems journal February 1983
Computing Large Sparse Jacobian Matrices Using Automatic Differentiation journal March 1994
Evaluating Derivatives book January 2008
What Color Is Your Jacobian? Graph Coloring for Computing Derivatives journal January 2005
Small subset queries and bloom filters using ternary associative memories, with applications conference June 2010
Sparser Johnson-Lindenstrauss Transforms journal January 2014
Efficient detection of hessian matrix sparsity pattern journal February 2017
Space/time trade-offs in hash coding with allowable errors journal July 1970
The SuiteSparse Matrix Collection Website Interface journal March 2019

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