A Simple and Efficient Algorithm for Gene Selection using Sparse Logistic Regression. Motivation: This paper gives a new and efficient algorithm for the sparse logistic regression problem. The proposed algorithm is based on the Gauss–Seidel method and is asymptotically convergent. It is simple and extremely easy to implement; it neither uses any sophisticated mathematical programming software nor needs any matrix operations. It can be applied to a variety of real-world problems like identifying marker genes and building a classifier in the context of cancer diagnosis using microarray data. Results: The gene selection method suggested in this paper is demonstrated on two real-world data sets and the results were found to be consistent with the literature.

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  1. Dong, Qian; Liu, Xin; Wen, Zai-Wen; Yuan, Ya-Xiang: A parallel line search subspace correction method for composite convex optimization (2015)
  2. Wang, Jie; Wonka, Peter; Ye, Jieping: Lasso screening rules via dual polytope projection (2015)
  3. Xu, Yangyang; Yin, Wotao: Block stochastic gradient iteration for convex and nonconvex optimization (2015)
  4. Groll, Andreas; Tutz, Gerhard: Variable selection for generalized linear mixed models by $L_1$-penalized estimation (2014)
  5. Peng, Hong-Yi; Jiang, Chun-Fu; Fang, Xiang; Liu, Jin-Shan: Variable selection for Fisher linear discriminant analysis using the modified sequential backward selection algorithm for the microarray data (2014)
  6. Yu, Yi; Feng, Yang: APPLE: approximate path for penalized likelihood estimators (2014)
  7. Blondel, Mathieu; Seki, Kazuhiro; Uehara, Kuniaki: Block coordinate descent algorithms for large-scale sparse multiclass classification (2013)
  8. Yger, F.; Rakotomamonjy, A.: Wavelet kernel learning (2011) ioport
  9. Goeman, Jelle J.: $L_1$ penalized estimation in the Cox proportional hazards model (2010)
  10. Leng, Chenlei; Li, Bo: Least squares approximation with a diverging number of parameters (2010)
  11. Viroli, Cinzia: Dimensionally reduced model-based clustering through mixtures of factor mixture analyzers (2010)
  12. Wang, Xiaoming; Park, Taesung; Carriere, K.C.: Variable selection via combined penalization for high-dimensional data analysis (2010)
  13. Meier, Lukas; van de Geer, Sara; Bühlmann, Peter: The group lasso for logistic regression (2008)
  14. Kim, Yongdai; Kwon, Sunghoon; Song, Seuck Heun: Multiclass sparse logistic regression for classification of multiple cancer types using gene expression data (2006)
  15. Tan, T.Z.; Quek, C.; Ng, G.S.: Ovarian cancer diagnosis by hippocampus and neocortex-inspired learning memory structures (2005) ioport