Simultaneous Relevant Feature Identification and Classification in High-Dimensional Spaces

Molecular profiling technologies monitor thousands of transcripts, proteins, metabolites or other species concurrently in biological samples of interest. Given two-class, high-dimensional profiling data, nominal Liknon [4] is a specific implementation of a methodology for performing simultaneous relevant feature identification and classification. It exploits the well-known property that minimizing an l1 norm (via linear programming) yields a sparse hyperplane [15,26,2,8,17]. This work (i) examines computational, software and practical issues required to realize nominal Liknon, (ii) summarizes results from its application to five real world data sets, (iii) outlines heuristic solutions to problems posed by domain experts when interpreting the results and (iv) defines some future directions of the research.

[1]  Michael I. Jordan,et al.  Integrated analysis of transcript profiling and protein sequence data , 2003, Mechanisms of Ageing and Development.

[2]  J. Welsh,et al.  Molecular classification of human carcinomas by use of gene expression signatures. , 2001, Cancer research.

[3]  T. Poggio,et al.  Multiclass cancer diagnosis using tumor gene expression signatures , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[4]  E. Dougherty,et al.  Gene-expression profiles in hereditary breast cancer. , 2001, The New England journal of medicine.

[5]  Bernhard Schölkopf,et al.  Semiparametric Support Vector and Linear Programming Machines , 1998, NIPS.

[6]  I. Mian,et al.  Analysis of molecular profile data using generative and discriminative methods. , 2000, Physiological genomics.

[7]  Nello Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods , 2000 .

[8]  Michael I. Jordan,et al.  Simultaneous classification and relevant feature identification in high-dimensional spaces: application to molecular profiling data , 2003, Signal Process..

[9]  M. Ringnér,et al.  Classification and diagnostic prediction of cancers using gene expression profiling and artificial neural networks , 2001, Nature Medicine.

[10]  D. Ruppert The Elements of Statistical Learning: Data Mining, Inference, and Prediction , 2004 .

[11]  E. Petricoin,et al.  Clinical proteomics: personalized molecular medicine. , 2001, JAMA.

[12]  R. Fletcher,et al.  Practical Methods of Optimization: Fletcher/Practical Methods of Optimization , 2000 .

[13]  I. Mian,et al.  Identifying marker genes in transcription profiling data using a mixture of feature relevance experts. , 2001, Physiological genomics.

[14]  Xiaoming Huo,et al.  Uncertainty principles and ideal atomic decomposition , 2001, IEEE Trans. Inf. Theory.

[15]  Nello Cristianini,et al.  Support vector machine classification and validation of cancer tissue samples using microarray expression data , 2000, Bioinform..

[16]  E. Petricoin,et al.  MECHANISMS OF DISEASE Mechanisms of disease Use of proteomic patterns in serum to identify ovarian cancer , 2022 .

[17]  E. Lander,et al.  Classification of human lung carcinomas by mRNA expression profiling reveals distinct adenocarcinoma subclasses , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[18]  R. Tibshirani,et al.  Gene expression patterns of breast carcinomas distinguish tumor subclasses with clinical implications , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[19]  D. Botstein,et al.  Diversity of gene expression in adenocarcinoma of the lung , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Nello Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods , 2000 .

[21]  R. C. Williamson,et al.  Classification on proximity data with LP-machines , 1999 .

[22]  Yudong D. He,et al.  Gene expression profiling predicts clinical outcome of breast cancer , 2002, Nature.

[23]  J. Welsh,et al.  Analysis of gene expression identifies candidate markers and pharmacological targets in prostate cancer. , 2001, Cancer research.

[24]  R. Fletcher Practical Methods of Optimization , 1988 .

[25]  D Haussler,et al.  Knowledge-based analysis of microarray gene expression data by using support vector machines. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[26]  U. Alon,et al.  Transcriptional gene expression profiles of colorectal adenoma, adenocarcinoma, and normal tissue examined by oligonucleotide arrays. , 2001, Cancer research.

[27]  P S Meltzer,et al.  Gastrointestinal stromal tumors with KIT mutations exhibit a remarkably homogeneous gene expression profile. , 2001, Cancer research.

[28]  Ayhan Demiriz,et al.  Semi-Supervised Support Vector Machines , 1998, NIPS.

[29]  J. Mesirov,et al.  Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. , 1999, Science.

[30]  S. Dhanasekaran,et al.  Delineation of prognostic biomarkers in prostate cancer , 2001, Nature.

[31]  Sayan Mukherjee,et al.  Feature Selection for SVMs , 2000, NIPS.

[32]  Peter C. Cheeseman,et al.  Bayesian Classification (AutoClass): Theory and Results , 1996, Advances in Knowledge Discovery and Data Mining.

[33]  Michael I. Jordan,et al.  Minimax Probability Machine , 2001, NIPS.

[34]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .