Massively parallel computation: algorithms and applications

This monograph provides the reader with an accessible introduction to the most important tools of a framework used for the design of new algorithms deployed in systems using massively parallel computation.

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Bibliographische Detailangaben
1. Verfasser: Im, Sungjin (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Boston ; Delft Now Publishers 2023
Schriftenreihe:Foundations and trends in optimization Vol. 5, no. 4
Online-Zugang:DE-91
Zusammenfassung:This monograph provides the reader with an accessible introduction to the most important tools of a framework used for the design of new algorithms deployed in systems using massively parallel computation.
Intro -- Introduction -- Purpose of This Monograph -- Prerequisites -- The MPC Model -- Formal Definition -- Example: Word Frequencies in Two Rounds -- Other Related Models -- Section Notes -- Partitioning and Coresets -- Overview -- Application: Minimum Spanning Tree -- Application: k-Center Clustering -- Coresets -- Application: k-Center Clustering in Euclidean Space -- Problems -- Section Notes -- Sample and Prune -- Overview -- Application: Top k Selection -- Application: k-Center Clustering -- Application: Monotone Submodular Maximization Subject to a Cardinality Constraint -- Section Notes -- Dynamic Programming -- Overview -- Warm-up: Knapsack -- Interval Selection in MPC -- Approximate Dynamic Programs -- Section Notes -- Round Reduction via Sampling -- k-core Decomposition and a Sequential Algorithm -- Parallelizing the Sequential Algorithm: O(n) Rounds -- Round Compression via Random Vertex Partitioning: O(n) Rounds -- Section Notes -- Round Reduction via Graph Exponentiation -- Approximate Core Decomposition -- Connected Components -- Section Notes -- Lower Bounds -- Connectivity in MPC -- Unconditional Lower Bounds -- Conditional Lower Bounds -- Section Notes -- Conclusions -- References.
Beschreibung:Description based on publisher supplied metadata and other sources
Beschreibung:1 online resource (86 pages)
ISBN:9781638282174

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