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A note on ALSCAL: The estimation of the additive constant
Authors:N. D. Verhelst
Affiliation:(1) State University of Utrecht, The Netherlands;(2) Rijksaniversiteit Utrecht, Subfaculteit der psychologie, St. Jacobsstraat 14, 3511 BS Utrecht, The Netherlands
Abstract:A method is given for the least squares regression of a squared variabled2 on the squared variable 02, where the relation between 0 andd is linear. The problem arises in MDS-algorithms where the loss function is defined in terms of squared distances (e.g., ALSCAL). It is pointed out that the Lagrangian multiplier is a root of fourth degree polynomial.
Keywords:additive constant  squared distance  loss function in MDS
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