On bottleneck analysis in stochastic stream processing

Author:

Nadakuditi Raj Rao1,Markov Igor L.1

Affiliation:

1. University of Michigan

Abstract

Past improvements in clock frequencies have traditionally been obtained through technology scaling, but most recent technology nodes do not offer such benefits. Instead, parallelism has emerged as the key driver of chip-performance growth. Unfortunately, efficient simultaneous use of on-chip resources is hampered by sequential dependencies, as illustrated by Amdahl's law. Quantifying achievable parallelism in terms of provable mathematical results can help prevent futile programming efforts and guide innovation in computer architecture toward the most significant challenges. To complement Amdahl's law, we focus on stream processing and quantify performance losses due to stochastic runtimes. Using spectral theory of random matrices, we derive new analytical results and validate them by numerical simulations. These results allow us to explore unique benefits of stochasticity and show how and when they outweigh the costs for software streams.

Funder

Division of Computing and Communication Foundations

Publisher

Association for Computing Machinery (ACM)

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications

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