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arXiv · 1411.2286

On Characterizing the Data Access Complexity of Programs

Venmugil Elango·Fabrice Rastello·Louis-Noel Pouchet·J. Ramanujam·P. Sadayappan
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Abstract

Technology trends will cause data movement to account for the majority of energy expenditure and execution time on emerging computers. Therefore, computational complexity will no longer be a sufficient metric for comparing algorithms, and a fundamental characterization of data access complexity will be increasingly important. The problem of developing lower bounds for data access complexity has been modeled using the formalism of Hong & Kung's red/blue pebble game for computational directed acyclic graphs (CDAGs). However, previously developed approaches to lower bounds analysis for the red/blue pebble game are very limited in effectiveness when applied to CDAGs of real programs, with computations comprised of multiple sub-computations with differing DAG structure. We address this problem by developing an approach for effectively composing lower bounds based on graph decomposition. We also develop a static analysis algorithm to derive the asymptotic data-access lower bounds of programs, as a function of the problem size and cache size.

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Venmugil Elango, Fabrice Rastello, Louis-Noel Pouchet, J. Ramanujam, P. Sadayappan. 2014-11-09. On Characterizing the Data Access Complexity of Programs. https://doi.org/10.1145/2676726.2677010

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