… In this paper, the well-known Procrustes problem is reconsidered. The usual … on a smooth
approximation of the ℓ 1 matrix norm. This smooth approximation to the ℓ 1 Procrustes problem …

… (weighted) oblique Procrustes problem as a matrix descent flow on the manifold OB(n) of all
… Next we tackle the more complicated l1 oblique Procrustes problems through approximation …

… on L1-norm 2D GPA is done using the Expectation Maximization [12] algorithm. In [13] Ordinary
L1 Procrustes … the formulation of the L1-norm 2D GPA as an LP problem. Thus allowing …

… based on reformulating the general Procrustes problem (1), … very wide class of Procrustes
problems, including balanced … for the l1,l2, or l∞ operator norms. To handle the reformulated …

… + plays an important role, since we are introducing on H a semi-inner product associated to
W … In fact the existence of a W-orthogonal projection onto R ( A ) depends on the relationship …

… ; we describe generalizations of Procrustes techniques to allow … Inference is based on an
NxK linear multivariate Procrustes … is the Procrustes superimposition on ZA, because (WBr)l1 is …

… The orthogonal procrustes problem (OPP) is the least square problem on the Stiefel manifold.
The OPP originates from the factor analysis in psychometrics during 1950s and 1960s [1…

… A solution to this problem using a smoothed version of the L1-norm has … Procrustes
problem instead, since it is empirically observed that given the L1-informed UL1 and ΣL1, the L1 …

… This socalled Procrustes problem1 does not always admit a … of the Procrustes problems
requires some background on H-… of the results on the Procrustes problems possible, too. …

… In this paper, we introduce the orthogonal Procrustes problem (OPP) as a model to handle
… Also, we can see that the L1 version is slightly better than the L2 version. The reason may …