The equivalence of TLS and correspondence analysis

Abstract

The total least squares (TLS) technique is will known in numerical analysis and modern signal processing, while correspondence analysis (CA) has found applications in applied data and clustering analysis. Both techniques use the SVD method to determine their respective optimum solutions. Upon an appropriate preprocessing operation of centering the data matrix, it is shown by minimizing the energy of the perturbation imposed on the data matrix that the two approaches are equivalent. Some simple graphical interpretations and examples are given.<>