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• W2406909156 abstract "The problem of exactly summing n floating-point numbers is a fundamental problem that has many applications in large-scale simulations and computational geometry. Unfortunately, due to the round-off error in standard floating-point operations, this problem becomes very challenging. Moreover, all existing solutions rely on sequential algorithms which cannot scale to the huge datasets that need to be processed. In this paper, we provide several efficient parallel algorithms for summing n floating point numbers, so as to produce a faithfully rounded floating-point representation of the sum. We present algorithms in PRAM, external-memory, and MapReduce models, and we also provide an experimental analysis of our MapReduce algorithms, due to their simplicity and practical efficiency." @default.
• W2406909156 created "2016-06-24" @default.
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• W2406909156 date "2016-07-11" @default.
• W2406909156 modified "2023-09-27" @default.
• W2406909156 title "Parallel Algorithms for Summing Floating-Point Numbers" @default.
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• W2406909156 doi "https://doi.org/10.1145/2935764.2935779" @default.
• W2406909156 hasPublicationYear "2016" @default.
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