When analysing three-way arrays, it is a common practice to centre the arrays. Depending on the context, centring is performed over one, two or three modes. In this paper, we outline how centring affects the rank of the array; both in terms of maximum rank and typical rank
The typical 3-tensorial rank has been much studied over algebraically closed fields, but very little...
AbstractThe typical 3-tensorial rank has been much studied over algebraically closed fields, but ver...
In chemometric applications of Tucker three-way principal component analysis, core arrays are often ...
When analysing three-way arrays, it is a common practice to centre the arrays. Depending on the cont...
The rank of a three-way array refers to the smallest number of rank-one arrays (outer products of th...
Matrices can be diagonalized by singular vectors or, when they are symmetric, by eigenvectors. Pairs...
Interpreting the solution of a Principal Component Analysis of a three-way array is greatly simplifi...
AbstractInterpreting the solution of a Principal Component Analysis of a three-way array is greatly ...
A peculiar property of three-way arrays is that the rank they typically have does not necessarily co...
AbstractA peculiar property of three-way arrays is that the rank they typically have does not necess...
AbstractA three-way array X (or three-dimensional matrix) is an array of numbers xijk subscripted by...
Visualisations of two-way arrays are well-understood. Here, a procedure, with geometric underpinning...
The typical 3-tensorial rank has been much studied over algebraically closed fields, but very little...
AbstractThe typical 3-tensorial rank has been much studied over algebraically closed fields, but ver...
In chemometric applications of Tucker three-way principal component analysis, core arrays are often ...
When analysing three-way arrays, it is a common practice to centre the arrays. Depending on the cont...
The rank of a three-way array refers to the smallest number of rank-one arrays (outer products of th...
Matrices can be diagonalized by singular vectors or, when they are symmetric, by eigenvectors. Pairs...
Interpreting the solution of a Principal Component Analysis of a three-way array is greatly simplifi...
AbstractInterpreting the solution of a Principal Component Analysis of a three-way array is greatly ...
A peculiar property of three-way arrays is that the rank they typically have does not necessarily co...
AbstractA peculiar property of three-way arrays is that the rank they typically have does not necess...
AbstractA three-way array X (or three-dimensional matrix) is an array of numbers xijk subscripted by...
Visualisations of two-way arrays are well-understood. Here, a procedure, with geometric underpinning...
The typical 3-tensorial rank has been much studied over algebraically closed fields, but very little...
AbstractThe typical 3-tensorial rank has been much studied over algebraically closed fields, but ver...
In chemometric applications of Tucker three-way principal component analysis, core arrays are often ...
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