Dimensionality Reduction of Volterra Kernels by Tensor Decomposition using Higher-Order SVD

2020 ◽  
Author(s):  
Urszula Libal ◽  
John S. Baras ◽  
Karl H. Johansson
Keyword(s):  
Dimensionality Reduction ◽  
Tensor Decomposition ◽  
Higher Order ◽  
Volterra Kernels

scholarly journals Dimensionality Reduction of Dynamic Mesh Animations Using HO-SVD

2013 ◽  
Vol 3 (4) ◽  
pp. 277-289 ◽  
Author(s):  
Michał Romaszewski ◽  
Piotr Gawron ◽  
Sebastian Opozda
Keyword(s):  
Principal Component Analysis ◽  
Singular Value Decomposition ◽  
Dimensionality Reduction ◽  
Principal Component ◽  
Component Analysis ◽  
Higher Order ◽  
Singular Value ◽  
3D Mesh ◽  
Reduction Of Dimensionality ◽  
Value Decomposition

Abstract This work presents an analysis of Higher Order Singular Value Decomposition (HOSVD) applied to reduction of dimensionality of 3D mesh animations. Compression error is measured using three metrics (MSE, Hausdorff, MSDM). Results are compared with a method based on Principal Component Analysis (PCA) and presented on a set of animations with typical mesh deformations.

scholarly journals Boosting Higher-Order Correlation Attacks by Dimensionality Reduction

2014 ◽  
pp. 183-200 ◽  
Author(s):  
Nicolas Bruneau ◽  
Jean-Luc Danger ◽  
Sylvain Guilley ◽  
Annelie Heuser ◽  
Yannick Teglia
Keyword(s):  
Dimensionality Reduction ◽  
Higher Order ◽  
Correlation Attacks

scholarly journals Muscle Activity Analysis Using Higher-Order Tensor Decomposition: Application to Muscle Synergy Extraction

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 27257-27271 ◽  
Author(s):  
Ahmed Ebied ◽  
Eli Kinney-Lang ◽  
Loukianos Spyrou ◽  
Javier Escudero
Keyword(s):  
Muscle Activity ◽  
Tensor Decomposition ◽  
Activity Analysis ◽  
Higher Order ◽  
Muscle Synergy ◽  
Order Tensor
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