Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry

© 2018 Association for Computing Machinery. In this paper, we design parallel write-efficient geometric algorithms that perform asymptotically fewer writes than standard algorithms for the same problem. This is motivated by emerging non-volatile memory technologies with read performance being close...

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Main Authors: Blelloch, Guy E, Gu, Yan, Shun, Julian, Sun, Yihan
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:English
Published: Association for Computing Machinery (ACM) 2021
Online Access:https://hdl.handle.net/1721.1/135029
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author Blelloch, Guy E
Gu, Yan
Shun, Julian
Sun, Yihan
author2 Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
author_facet Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Blelloch, Guy E
Gu, Yan
Shun, Julian
Sun, Yihan
author_sort Blelloch, Guy E
collection MIT
description © 2018 Association for Computing Machinery. In this paper, we design parallel write-efficient geometric algorithms that perform asymptotically fewer writes than standard algorithms for the same problem. This is motivated by emerging non-volatile memory technologies with read performance being close to that of random access memory but writes being significantly more expensive in terms of energy and latency. We design algorithms for planar Delaunay triangulation, k-d trees, and static and dynamic augmented trees. Our algorithms are designed in the recently introduced Asymmetric Nested-Parallel Model, which captures the parallel setting in which there is a small symmetric memory where reads and writes are unit cost as well as a large asymmetric memory where writes are ω times more expensive than reads. In designing these algorithms, we introduce several techniques for obtaining write-efficiency, including DAG tracing, prefix doubling, and α-labeling, which we believe will be useful for designing other parallel write-efficient algorithms.
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spelling mit-1721.1/1350292023-10-13T20:20:20Z Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry Blelloch, Guy E Gu, Yan Shun, Julian Sun, Yihan Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory © 2018 Association for Computing Machinery. In this paper, we design parallel write-efficient geometric algorithms that perform asymptotically fewer writes than standard algorithms for the same problem. This is motivated by emerging non-volatile memory technologies with read performance being close to that of random access memory but writes being significantly more expensive in terms of energy and latency. We design algorithms for planar Delaunay triangulation, k-d trees, and static and dynamic augmented trees. Our algorithms are designed in the recently introduced Asymmetric Nested-Parallel Model, which captures the parallel setting in which there is a small symmetric memory where reads and writes are unit cost as well as a large asymmetric memory where writes are ω times more expensive than reads. In designing these algorithms, we introduce several techniques for obtaining write-efficiency, including DAG tracing, prefix doubling, and α-labeling, which we believe will be useful for designing other parallel write-efficient algorithms. 2021-10-27T20:10:24Z 2021-10-27T20:10:24Z 2018 2019-07-03T14:38:01Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/135029 en 10.1145/3210377.3210380 Annual ACM Symposium on Parallelism in Algorithms and Architectures Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Association for Computing Machinery (ACM) arXiv
spellingShingle Blelloch, Guy E
Gu, Yan
Shun, Julian
Sun, Yihan
Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title_full Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title_fullStr Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title_full_unstemmed Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title_short Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry
title_sort parallel write efficient algorithms and data structures for computational geometry
url https://hdl.handle.net/1721.1/135029
work_keys_str_mv AT blellochguye parallelwriteefficientalgorithmsanddatastructuresforcomputationalgeometry
AT guyan parallelwriteefficientalgorithmsanddatastructuresforcomputationalgeometry
AT shunjulian parallelwriteefficientalgorithmsanddatastructuresforcomputationalgeometry
AT sunyihan parallelwriteefficientalgorithmsanddatastructuresforcomputationalgeometry