CONVEX CLUSTERING AND RECOVERY OF PARTIALLY OBSERVED DATA.

CONVEX CLUSTERING AND RECOVERY OF PARTIALLY OBSERVED DATA.
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凸聚类和部分观测数据的恢复。

DOI:
10.1109/icip.2016.7533010
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发表时间:
2016
期刊:
Proceedings. International Conference on Image Processing
影响因子:
--
通讯作者:
Jacob,Mathews
Jacob,Mathews
中科院分区:
--
文献类型:
--
作者:
Poddar,Sunrita;Jacob,Mathews

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我们提出了一种凸聚类重构算法来处理缺失条目的数据。该算法利用每对点之间的相似性度量对数据进行聚类和恢复。当地真相似矩阵可用时,可以可靠地恢复聚类中心。此外,当聚类分离较好,不同聚类点之间的差异相干性较低时,从部分观测数据中也可以可靠地估计出相似矩阵。该算法在模拟数据集上使用估计的相似矩阵取得了良好的效果。该方法在从欠采样傅里叶数据重建图像方面也取得了成功。
We propose a convex clustering and reconstruction algorithm for data with missing entries. The algorithm uses a similarity measure between every pair of points to cluster and recover the data. The cluster centres can be recovered reliably when the ground-truth similarity matrix is available. Moreover, the similarity matrix can also be reliably estimated from the partially observed data, when the clusters are well-separated and the coherence of the difference between points from different clusters is low. The algorithm performs well using the estimated similarity matrix on a simulated dataset. The method is also successful in reconstructing images from under-sampled Fourier data.
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