The Projected Power Method: An Efficient Algorithm for Joint Alignment from Pairwise Differences

The Projected Power Method: An Efficient Algorithm for Joint Alignment from Pairwise Differences
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DOI:
10.1002/cpa.21760
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发表时间:
2018-08-01
影响因子:
3
通讯作者:
Candes, Emmanuel J.
Candes, Emmanuel J.
中科院分区:
数学1区
文献类型:
--
作者:
Chen, Yuxin;Candes, Emmanuel J.

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Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete-and hence nonconvex-structure of the problem, computing the optimal assignment (e.g., maximum-likelihood assignment) becomes intractable at first sight. This paper makes progress towards efficient computation by focusing on a concrete joint alignment problem; that is, the problem of recovering n discrete variables xi is an element of {1, ..., m}, 1