Abstract
In this paper, we streamline the Grassmann multivariate time sequence (MTS) clustering for state-space dynamical modelling into three umbrella approaches: (i) Intrinsic approach where clustering is entirely constrained within the manifold, (ii) Extrinsic approach where Grassmann manifold is flattened via local diffeomorphisms or embedded into Reproducing Kernel Hilbert Spaces via Grassmann kernels, (iii) Semi-intrinsic approach where clustering algorithm is performed on Grassmann manifolds via Karcher mean. Consequently, 11 Grassmann clustering algorithms are derived and demonstrated through a comprehensive comparative study on human motion gesture derived MTS data.
| Original language | English |
|---|---|
| Title of host publication | New Trends in Computer Technologies and Applications - 23rd International Computer Symposium, ICS 2018, Revised Selected Papers |
| Editors | Chuan-Yu Chang, Chien-Chou Lin, Horng-Horng Lin |
| Publisher | Springer Verlag |
| Pages | 654-664 |
| Number of pages | 11 |
| ISBN (Print) | 9789811391897 |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
| Event | 23rd International Computer Symposium, ICS 2018 - Yunlin, Taiwan, Province of China Duration: 2018 Dec 20 → 2018 Dec 22 |
Publication series
| Name | Communications in Computer and Information Science |
|---|---|
| Volume | 1013 |
| ISSN (Print) | 1865-0929 |
Conference
| Conference | 23rd International Computer Symposium, ICS 2018 |
|---|---|
| Country | Taiwan, Province of China |
| City | Yunlin |
| Period | 18/12/20 → 18/12/22 |
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All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Mathematics(all)
Cite this
}
Grassmannian Clustering for Multivariate Time Sequences. / Oh, Beom Seok; Teoh, Beng Jin; Toh, Kar Ann; Lin, Zhiping.
New Trends in Computer Technologies and Applications - 23rd International Computer Symposium, ICS 2018, Revised Selected Papers. ed. / Chuan-Yu Chang; Chien-Chou Lin; Horng-Horng Lin. Springer Verlag, 2019. p. 654-664 (Communications in Computer and Information Science; Vol. 1013).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Grassmannian Clustering for Multivariate Time Sequences
AU - Oh, Beom Seok
AU - Teoh, Beng Jin
AU - Toh, Kar Ann
AU - Lin, Zhiping
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this paper, we streamline the Grassmann multivariate time sequence (MTS) clustering for state-space dynamical modelling into three umbrella approaches: (i) Intrinsic approach where clustering is entirely constrained within the manifold, (ii) Extrinsic approach where Grassmann manifold is flattened via local diffeomorphisms or embedded into Reproducing Kernel Hilbert Spaces via Grassmann kernels, (iii) Semi-intrinsic approach where clustering algorithm is performed on Grassmann manifolds via Karcher mean. Consequently, 11 Grassmann clustering algorithms are derived and demonstrated through a comprehensive comparative study on human motion gesture derived MTS data.
AB - In this paper, we streamline the Grassmann multivariate time sequence (MTS) clustering for state-space dynamical modelling into three umbrella approaches: (i) Intrinsic approach where clustering is entirely constrained within the manifold, (ii) Extrinsic approach where Grassmann manifold is flattened via local diffeomorphisms or embedded into Reproducing Kernel Hilbert Spaces via Grassmann kernels, (iii) Semi-intrinsic approach where clustering algorithm is performed on Grassmann manifolds via Karcher mean. Consequently, 11 Grassmann clustering algorithms are derived and demonstrated through a comprehensive comparative study on human motion gesture derived MTS data.
UR - http://www.scopus.com/inward/record.url?scp=85069656755&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85069656755&partnerID=8YFLogxK
U2 - 10.1007/978-981-13-9190-3_72
DO - 10.1007/978-981-13-9190-3_72
M3 - Conference contribution
AN - SCOPUS:85069656755
SN - 9789811391897
T3 - Communications in Computer and Information Science
SP - 654
EP - 664
BT - New Trends in Computer Technologies and Applications - 23rd International Computer Symposium, ICS 2018, Revised Selected Papers
A2 - Chang, Chuan-Yu
A2 - Lin, Chien-Chou
A2 - Lin, Horng-Horng
PB - Springer Verlag
ER -