In this paper, we reconsider the well-known oblique Procrustes problem where the usual least-squares objective function is replaced by a more robust discrepancy measure, based on the ℓ1 norm or smooth approximations of it. We propose two approaches to the solution of this problem. One approach is based on convex analysis and uses the structure of the problem to permit a solution to the ℓ1 norm problem. An alternative approach is to smooth the problem by working with smooth approximations to the ℓ 1 norm, and this leads to a solution process based on the solution of ordinary differential equations on manifolds. The general weighted Procrustes problem (both orthogonal and oblique) can also be solved by the latter approach. Numerical example...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...
Proximal Point Methods (PPM) can be traced to the pioneer works of Moreau [16], Martinet [14, 15] an...
For arbitrary real matrices F and G, the positive semi-definite Procrustes problem is minimization o...
The weighted orthogonal Procrustes problem, an important class of data matching problems in multivar...
This paper provides a generalization of the Procrustes problem in which the errors are weighted from...
In this thesis, we present algorithms for local and global minimization of some Procrustes type prob...
In the paper proposed we will make use of the gradient flow approach to consider a generalization of...
The aim of this paper is to analyze two scaling extensions of the Orthogonal Procrustes Problem (OPP...
We consider a family of generalized Procrustes problems. In this class of problems, one aims at alig...
This paper provides a generalization of the Procrustes problem in which the errors are weighted from...
This paper addresses the problem of rotating a factor matrix obliquely to a least squares fit to a ...
The following "symmetric Procrustes" problem arises in the determination of the strain matrix of an ...
AbstractIn this paper, we consider a generalization of the well-known Procrustes problem relevant to...
In this paper, we consider a generalization of the well-known Procrustes problem relevant to princip...
Standard Procrustes analysis involves matching shape configurations, through translations, ro-tation...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...
Proximal Point Methods (PPM) can be traced to the pioneer works of Moreau [16], Martinet [14, 15] an...
For arbitrary real matrices F and G, the positive semi-definite Procrustes problem is minimization o...
The weighted orthogonal Procrustes problem, an important class of data matching problems in multivar...
This paper provides a generalization of the Procrustes problem in which the errors are weighted from...
In this thesis, we present algorithms for local and global minimization of some Procrustes type prob...
In the paper proposed we will make use of the gradient flow approach to consider a generalization of...
The aim of this paper is to analyze two scaling extensions of the Orthogonal Procrustes Problem (OPP...
We consider a family of generalized Procrustes problems. In this class of problems, one aims at alig...
This paper provides a generalization of the Procrustes problem in which the errors are weighted from...
This paper addresses the problem of rotating a factor matrix obliquely to a least squares fit to a ...
The following "symmetric Procrustes" problem arises in the determination of the strain matrix of an ...
AbstractIn this paper, we consider a generalization of the well-known Procrustes problem relevant to...
In this paper, we consider a generalization of the well-known Procrustes problem relevant to princip...
Standard Procrustes analysis involves matching shape configurations, through translations, ro-tation...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...
Proximal Point Methods (PPM) can be traced to the pioneer works of Moreau [16], Martinet [14, 15] an...
For arbitrary real matrices F and G, the positive semi-definite Procrustes problem is minimization o...