Title
Memory efficient low-rank non-linear subspace tracking
Abstract
The task of low-rank subspace tracking is of paramount importance for feature extraction over streaming data. Considering the broad range of applications in which the data fail to adhere to a linear model, the present work proposes a nonlinear subspace tracking algorithm. The proposed algorithm can effectively learn and track an evolving non-linear subspace in an online fashion. The notion of non-linearity is accommodated via exploitation of kernel-induced mappings, whose computational as well as memory requirements, if untreated, will impose scalability issues in large datasets. This issue is addressed by imposing a predefined affordable budget on the number of data vectors to be stored, preventing computational and memory growth of the algorithm, while enabling the tracking of possibly evolving subspaces. Numerical tests corroborate the effectiveness of the proposed algorithm on synthetic as well as real datasets.
Year
DOI
Venue
2017
10.1109/CAMSAP.2017.8313099
2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Keywords
Field
DocType
Nonlinear subspace tracking,kernel methods,online learning,budgeted learning
Kernel (linear algebra),Data modeling,Subspace topology,Computer science,Algorithm,Linear subspace,Feature extraction,Memory management,Kernel method,Scalability
Conference
ISBN
Citations 
PageRank 
978-1-5386-1252-1
0
0.34
References 
Authors
8
3
Name
Order
Citations
PageRank
Fatemeh Sheikholeslami110.69
Dimitris Berberidis2457.47
Georgios B. Giannakis34977340.58