Lower Bounds on Information Transfer in Distributed Computations

Author:

Abelson Harold1

Affiliation:

1. Laboratory for Computer Science, Massachusetts Institute of Technology, 545 Technology Square, Cambridge, MA

Abstract

Lower bounds on the interprocessor communication required for computing a differentiable real-valued function in a distributed network are derived. These bounds are independent of the network interconnection configuration, and they impose no assumptions other than differentiability constraints on the computations performed by individual processors. As a sample application, lower bounds on information transfer in the distributed computation of some-typical matrix operations are exhibited.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference5 articles.

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3. GENTLEMAN W.i.Some complexity results for matrix computauons on parallel processors J A CM 25 1 (Jan. 1978) 112-115. 10.1145/322047.322057 GENTLEMAN W.i.Some complexity results for matrix computauons on parallel processors J A CM 25 1 (Jan. 1978) 112-115. 10.1145/322047.322057

4. A note on the interrelation of subsets of independent variables of a continuous functton with continuous first derivatives Bull Am Math;LEONTIEF W;Soc,1947

5. Some complexity questions related to distributive computing(Preliminary Report)

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