On robust information extraction from highdimensional data

Abstract

Information extraction from high-dimensional data represents an important problem in current applications in management or econometrics. An important problem from a practical point of view is the sensitivity of machine learning methods with respect to the presence of outlying data values, while numerical stability represents another important aspect of data mining from high-dimensional data. This paper gives an overview of various types of data mining, discusses their suitability for high-dimensional data and critically discusses their properties from the robustness point of view, while we explain that the robustness itself is perceived differently in different contexts.Moreover, we investigate properties of a robust nonlinear regression estimator of Kalina (2013).