KMS Of Academy of mathematics and systems sciences, CAS
Binary matrix factorization for analyzing gene expression data | |
Zhang, Zhong-Yuan2; Li, Tao1; Ding, Chris3; Ren, Xian-Wen4; Zhang, Xiang-Sun4 | |
2010-01-10 | |
发表期刊 | DATA MINING AND KNOWLEDGE DISCOVERY |
ISSN | 1384-5810 |
卷号 | 20期号:1页码:28-52 |
摘要 | The advent of microarray technology enables us to monitor an entire genome in a single chip using a systematic approach. Clustering, as a widely used data mining approach, has been used to discover phenotypes from the raw expression data. However traditional clustering algorithms have limitations since they can not identify the substructures of samples and features hidden behind the data. Different from clustering, biclustering is a new methodology for discovering genes that are highly related to a subset of samples. Several biclustering models/methods have been presented and used for tumor clinical diagnosis and pathological research. In this paper, we present a new biclustering model using Binary Matrix Factorization (BMF). BMF is a new variant rooted from non-negative matrix factorization (NMF). We begin by proving a new boundedness property of NMF. Two different algorithms to implement the model and their comparison are then presented. We show that the microarray data biclustering problem can be formulated as a BMF problem and can be solved effectively using our proposed algorithms. Unlike the greedy strategy-based algorithms, our proposed algorithms for BMF are more likely to find the global optima. Experimental results on synthetic and real datasets demonstrate the advantages of BMF over existing biclustering methods. Besides the attractive clustering performance, BMF can generate sparse results (i.e., the number of genes/features involved in each biclustering structure is very small related to the total number of genes/features) that are in accordance with the common practice in molecular biology. |
关键词 | Biclustering Non-negative matrix factorization Boundedness property of NMF Binary matrix |
DOI | 10.1007/s10618-009-0145-2 |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence ; Computer Science, Information Systems |
WOS记录号 | WOS:000273812400002 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10331 |
专题 | 应用数学研究所 |
通讯作者 | Li, Tao |
作者单位 | 1.Florida Int Univ, Sch Comp & Informat Sci, Miami, FL 33199 USA 2.Cent Univ Finance & Econ, Sch Stat, Beijing, Peoples R China 3.Univ Texas Arlington, Dept Comp Sci & Engn, Arlington, TX 76019 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Zhong-Yuan,Li, Tao,Ding, Chris,et al. Binary matrix factorization for analyzing gene expression data[J]. DATA MINING AND KNOWLEDGE DISCOVERY,2010,20(1):28-52. |
APA | Zhang, Zhong-Yuan,Li, Tao,Ding, Chris,Ren, Xian-Wen,&Zhang, Xiang-Sun.(2010).Binary matrix factorization for analyzing gene expression data.DATA MINING AND KNOWLEDGE DISCOVERY,20(1),28-52. |
MLA | Zhang, Zhong-Yuan,et al."Binary matrix factorization for analyzing gene expression data".DATA MINING AND KNOWLEDGE DISCOVERY 20.1(2010):28-52. |
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