Title
Contrastive Multivariate Singular Spectrum Analysis.
Abstract
We introduce contrastive multivariate singular spectrum analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a target time series dataset in a way that evinces the sub-signals that are enhanced in the target dataset, as opposed to only those that account for the greatest variance. This shifts the goal from finding signals that explain the most variance to signals that matter the most to the analyst. We demonstrate our method on an illustrative synthetic example, as well as show the utility of our method in the downstream clustering of real electrocardiogram and electromyogram signals. We end with a physical interpretation of what the algorithm is doing.
Year
DOI
Venue
2019
10.1109/ALLERTON.2019.8919886
2019 57TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON)
Keywords
Field
DocType
PCA,SSA,time series,contrastive analysis,electrocardiogram,signal power,convolution
Time series,Mathematical optimization,Dimensionality reduction,Pattern recognition,Computer science,Multivariate statistics,Decomposition of time series,Singular spectrum analysis,Artificial intelligence,Cluster analysis,Principal component analysis,Time series dataset
Conference
Volume
ISSN
Citations 
abs/1810.13317
2474-0195
1
PageRank 
References 
Authors
0.36
0
3
Name
Order
Citations
PageRank
Abdi-Hakin Dirie110.36
Abubakar Abid265.28
James Y. Zou325126.63