- In
multilinear algebra, the higher-order
singular value decomposition (
HOSVD) of a
tensor is a
specific orthogonal Tucker decomposition. It may be regarded...
- higher-order
singular value decomposition (
HOSVD) in
tensor algebra,
Baranyi and Yam
proposed the
concept of
HOSVD-based
canonical form of TP
functions and...
- analysis,
which is also
called higher-order
singular value decomposition (
HOSVD). It may be
regarded as a more
flexible PARAFAC (parallel
factor analysis)...
- 726*p2*p2)]; end end [S,U, sv]=
hosvd(SD,[1,1,0,0],1e-12); %
Finding the TP
structure UA{1}=U{1}; % This is the
HOSVD based canonical form UA{2}=U{2};...
-
their SIAM
paper entitled "Multilinear
Singular Value Decomposition", (
HOSVD) and in
their paper "On the Best Rank-1 and Rank-(R1, R2, ..., RN ) Approximation...
-
reconstructing this
HOSVD based canonical form. Thus, the TP
model transformation can be
viewed as a
numerical method to
compute the
HOSVD of functions, which...
-
operation is used in
tensor algebra and its methods, such as
Parafac and
HOSVD.[citation needed] Vasilescu, M. Alex O. (2009), "Multilinear (Tensor) Algebraic...
-
projection is an
extension of the higher-order
singular value decomposition (
HOSVD) to
subspace learning. Hence, its
origin is
traced back to the
Tucker decomposition...
-
Tucker decomposition. Two
algorithms for the
solution of L1-Tucker are L1-
HOSVD and L1-HOOI.
MATLAB code for L1-PCA is
available at MathWorks. Markopoulos...
-
matrix multiplications. The higher-order
singular value decomposition (
HOSVD)
factorizes a
tensor given in
coordinates A ∈ F n 1 × n 2 × ⋯ × n d {\displaystyle...