B0410
Title: Conditional multidimensional scaling
Authors: Anh Bui - Virginia Commonwealth University (United States) [presenting]
Abstract: The focus is on the problem of mapping high-dimensional data to a low-dimensional space, in the presence of other known features. This problem is ubiquitous in science and engineering as there are often controllable/measurable features in most applications. Furthermore, the discovered features in previous analyses can become known features in subsequent analyses, repeatedly. To solve this problem, a broad class of methods, which is referred to as conditional multidimensional scaling, is proposed. An algorithm for optimizing the objective function of conditional multidimensional scaling is also developed. The proposed framework is illustrated with kinship terms, facial expressions, and simulated car-brand perception examples. These examples demonstrate the benefits of the framework for being able to marginalize out the known features to uncover unknown, unanticipated features in the reduced-dimension space and for enabling a repeated, more straightforward knowledge discovery process. Computer codesare available in the open-source cml R package.
