title: On classification with incomplete data.
abstract: We address the incomplete-data problem in which feature vectors to be classified are missing data (features). A (supervised) logistic regression algorithm for the classification of incomplete data is developed. Single or multiple imputation for the missing data is avoided by performing analytic integration with an estimated conditional density function (conditioned on the observed data). Conditional density functions are estimated using a Gaussian mixture model (GMM), with parameter estimation performed using both Expectation-Maximization (EM) and Variational Bayesian EM (VB-EM). The proposed supervised algorithm is then extended to the semisupervised case by incorporating graph-based regularization. The semisupervised algorithm utilizes all available data-both incomplete and complete, as well as labeled and unlabeled. Experimental results of the proposed classification algorithms are shown.
authors.affiliation: Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708-0291, USA. dpw@ee.duke.edu
authors.forename: David
authors.initials: D
authors.lastname: Williams
authors.forename: Xuejun
authors.initials: X
authors.lastname: Liao
authors.forename: Ya
authors.initials: Y
authors.lastname: Xue
authors.forename: Lawrence
authors.initials: L
authors.lastname: Carin
authors.forename: Balaji
authors.initials: B
authors.lastname: Krishnapuram
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D016015:Logistic Models; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D018401:Sample Size; D012680:Sensitivity and Specificity