Geodesic distance between multilinear subspaces
We defined geodesic distances between multilinear subspaces for pattern recognition.
Sampled values of volumetric data are expressed as three-way array data, which is expressed as tensors.
Multi-way forms of volumetric data require quantitative methods for the discrimination of multi-way forms.
Therefore, we define geodesic measures for multilinear subspaces of multi-way data arrays using transportation between the Stiefel manifolds.
• Hayato Itoh, Atsushi Imiya: Subspace Discrimination for Multiway Data,
Journal of Mathematical Imaging and Vision, vol. 66, pp. 657–677 (August, 2024),
DOI: 10.1007/s10851-024-01188-9,
SharedIt, 2024
• Hayato Itoh, Atsushi Imiya: Multilinear Subspace Method Based on Geodesic Distance for Volumetric Object Classification,
In Proc. International Conference on Computer Analysis of Images and Patterns, LNCS vol. 11678, pp. 672-683, 2019
• Hayato Itoh, Atsushi Imiya, Tomoya Sakai: Distances Between Tensor Subspaces,
In Applications of Intelligent Systems, Frontiers in Artificial Intelligence and Applications, vol. 310, pp. 50-59, 2018