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Cluster Quilting: Spectral Clustering for Patchwork Learning

delete2026-05-21
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PRE
AI
L
Lili Zheng *
A
Andersen Chang
G
Genevera I. Allen *
DOI:10.1080/01621459.2026.2648876delete
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摘要

摘要

En 中文
拼接学习作为一种新的且具有挑战性的数据收集范式,其中样本和特征均以碎片化的子集形式被观测。由于技术限制和测量成本,此类拼接数据结构在神经科学、医疗保健、基因组学等应用中常见。与其分别分析每个数据块,更希望从整个数据集中提取全面知识。本研究聚焦拼接学习中的聚类问题,旨在发现所有样本中的聚类,即使某些样本在任何特征上均未被共同观测。我们提出一种新颖的谱聚类方法——聚类拼接法,包括:(i) 利用所有数据块间的重叠结构进行数据块排序;(ii) 块级奇异值分解;(iii) 对重叠数据块进行顶级奇异向量的顺序线性映射;(iv) 在组合并加权的奇异向量上执行k-means算法。我们通过非渐近错聚类率界建立理论保证,该界反映块级观测模式特性以及聚类信号与噪声依赖性。我们在模拟和真实数据集的经验研究中验证了聚类拼接算法,结果表明其比其他方法产生更准确且科学上更合理的聚类结果。本文的补充材料可在网上获取,包括用于重现工作的标准化材料描述。
Keyword:
Blockwise missingness
Data integration
Matrix completion
Mixture models
Multi-omics
Patchwork learning
Spectral clustering

期刊

J
Journal of the American Statistical Association
IF:
3
论文数:
5.2K
被引数:
4.8W

机构

 
 columbia university
学者数:
2.3K
论文数: 945
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B
baylor college of medicine
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4.7K
论文数: 1.7K
被引数: 0
U
university of illinois urbana-champaign
学者数:
2.5K
论文数: 1.3K
被引数: 0
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