2009
DOI: 10.4172/jcsb.1000028
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L1 Least Square for Cancer Diagnosis using Gene Expression Data

Abstract: The performance of most methods for cancer diagnosis using gene expression data greatly depends on careful model selection. Least square for classification has no need of model selection. However, a major drawback prevents it from successful application in microarray data classification: lack of robustness to outliers. In this paper we cast linear regression as a constrained l 1 -norm minimization problem to greatly alleviate its sensitivity to outliers, and hence the name l 1 least square. The numerical exper… Show more

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Cited by 7 publications
(5 citation statements)
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“…The root-finding framework for the particular case where κ(x) = x 1 was first described in [5], and implemented in the SPGL1 [4] software package. The success of the SPGL1 package in practice-see, e.g., [19,36,37,39,46,62,64]-motives us to provide a unified algorithm that applies to a wider class of problems, including sign-restricted basis pursuit denoise, sum-of-norms, and matrix completion problems.…”
Section: Related Workmentioning
confidence: 99%
“…The root-finding framework for the particular case where κ(x) = x 1 was first described in [5], and implemented in the SPGL1 [4] software package. The success of the SPGL1 package in practice-see, e.g., [19,36,37,39,46,62,64]-motives us to provide a unified algorithm that applies to a wider class of problems, including sign-restricted basis pursuit denoise, sum-of-norms, and matrix completion problems.…”
Section: Related Workmentioning
confidence: 99%
“…Linear regression as a constrained l1-norm minimization problem greatly alleviate its sensitivity to outliers, and hence the name l1 least square. The numerical experiment shows that l1 least square can match the best performance achieved by support vector machines (SVMs) with careful model selection [36]. Humans have been carrying unwanted viral gene segments since many years and reports suggests that approximately 3-8% of the human genome has been comprised of viral DNA.…”
Section: Genomicsmentioning
confidence: 99%
“…The l 1 least square classifier may become a promising automatic cancer diagnosis tool by consistently distinguishing gene profile classes. Those genes with great absolute regression coefficients may serve as biological marker candidates for further investigation [37,38]. Damage analysis in metabolic pathways is one of the most highlighted fields in systems biology area.…”
Section: Lipid Biomarkers In Chronic Diseasementioning
confidence: 99%