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Scalable Nonnegative Matrix Factorization with Block-wise Updates

机译:可扩展的非负矩阵分解与逐块更新

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Nonnegative Matrix Factorization (NMF) has been applied with great success to many applications. As NMF is applied to massive datasets such as web-scale dyadic data, it is desirable to leverage a cluster of machines to speed up the factorization. However, it is challenging to efficiently implement NMF in a distributed environment. In this paper, we show that by leveraging a new form of update functions, we can perform local aggregation and fully explore parallelism. Moreover, under the new form of update functions, we can perform frequent updates, which aim to use the most recently updated data whenever possible. As a result, frequent updates are more efficient than their traditional concurrent counterparts. Through a series of experiments on a local cluster as well as the Amazon EC2 cloud, we demonstrate that our implementation with frequent updates is up to two orders of magnitude faster than the existing implementation with the traditional form of update functions.
机译:非负矩阵因式分解(NMF)已成功应用于许多应用程序。由于NMF应用于大量数据集(例如Web级二进位数据),因此希望利用一组机器来加速分解。但是,在分布式环境中有效地实施NMF是一项挑战。在本文中,我们证明了通过利用新形式的更新功能,我们可以执行局部聚合并充分探索并行性。此外,在新形式的更新功能下,我们可以执行频繁的更新,目的是在可能的情况下使用最近更新的数据。结果,频繁更新比传统的并发更新更为有效。通过在本地集群以及Amazon EC2云上进行的一系列实验,我们证明了具有频繁更新的实施比具有传统形式的更新功能的现有实施快多达两个数量级。

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