Title
Deep L1-Pca Of Time-Variant Data With Application To Brain Connectivity Measurements
Abstract
L1-Principal Component Analysis (L1-PCA) is a powerful computational tool to identify relevant components in data affected by noise, outliers, partial disruption and so on. Relevant efforts have been made to adapt its powerful summarization capacity to time variant data, e.g. in tracking the evolution of L1-PCA components. Here, we analyze a layered version of L1-PCA, to which we refer to as Deep L1-PCA. Deep L1-PCA is obtained by recursive application of two stages: estimation of L1-PCA basis and extraction of the first rank projector. The Deep L1-PCA is applied to repeated EEG connectivity measures and it proves relevant for identifying outliers, changes, and stable components. Moreover, at each layer, an in-depth analysis of the mean square error between the data applied at the input layer and the output projector is provided. The Deep L1-PCA allows to cope with outliers of different temporal extent as well as to extract the relevant common component at a reduced computational cost.
Year
DOI
Venue
2019
10.23919/EUSIPCO.2019.8903169
2019 27TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO)
Keywords
Field
DocType
L1-norm, PCA, outliers, first rank component extraction, tensor-based representation of biomedical data
Automatic summarization,Data Applied,Pattern recognition,Computer science,Mean squared error,Outlier,Projector,Artificial intelligence,Component analysis,Electroencephalography,Recursion
Conference
ISSN
Citations 
PageRank 
2076-1465
0
0.34
References 
Authors
0
7