title: Multidimensional support vector machines for visualization of gene expression data.
abstract: BACKGROUND
  Since DNA microarray experiments provide us with huge amount of gene expression data, they should be analyzed with statistical methods to extract the meanings of experimental results. Some dimensionality reduction methods such as Principal Component Analysis (PCA) are used to roughly visualize the distribution of high dimensional gene expression data. However, in the case of binary classification of gene expression data, PCA does not utilize class information when choosing axes. Thus clearly separable data in the original space may not be so in the reduced space used in PCA.
  
  
  RESULTS
  For visualization and class prediction of gene expression data, we have developed a new SVM-based method called multidimensional SVMs, that generate multiple orthogonal axes. This method projects high dimensional data into lower dimensional space to exhibit properties of the data clearly and to visualize a distribution of the data roughly. Furthermore, the multiple axes can be used for class prediction. The basic properties of conventional SVMs are retained in our method: solutions of mathematical programming are sparse, and nonlinear classification is implemented implicitly through the use of kernel functions. The application of our method to the experimentally obtained gene expression datasets for patients' samples indicates that our algorithm is efficient and useful for visualization and class prediction.
  
  
  BACKGROUND
  komura@hal.rcast.u-tokyo.ac.jp.
authors.affiliation: Research Center for Advanced Science and Technology, University of Tokyo Tokyo 153-8904, Japan. komura@hal.rcast.u-tokyo.ac.jp
authors.forename: D
authors.initials: D
authors.lastname: Komura
authors.forename: H
authors.initials: H
authors.lastname: Nakamura
authors.forename: S
authors.initials: S
authors.lastname: Tsutsumi
authors.forename: H
authors.initials: H
authors.lastname: Aburatani
authors.forename: S
authors.initials: S
authors.lastname: Ihara
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D016000:Cluster Analysis; D003205:Computing Methodologies; D003936:Diagnosis, Computer-Assisted / Q000379:methods; D020869:Gene Expression Profiling / Q000379:methods*; D006801:Humans; D007938:Leukemia / Q000175:diagnosis / Q000235:genetics / Q000378:metabolism; D008175:Lung Neoplasms / Q000175:diagnosis / Q000235:genetics / Q000378:metabolism; D009363:Neoplasm Proteins / Q000378:metabolism; D020411:Oligonucleotide Array Sequence Analysis / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D014584:User-Computer Interface
chemical_list: D009363:Neoplasm Proteins