TY - GEN
T1 - Grassmannian Clustering for Multivariate Time Sequences
AU - Oh, Beom Seok
AU - Teoh, Andrew Beng Jin
AU - Toh, Kar Ann
AU - Lin, Zhiping
N1 - Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2019.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
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
T2 - 23rd International Computer Symposium, ICS 2018
Y2 - 20 December 2018 through 22 December 2018
ER -