학술논문

Recovery of non-linear cause-effect relationships from linearly mixed neuroimaging data
Document Type
Conference
Source
2016 International Workshop on Pattern Recognition in Neuroimaging (PRNI) Pattern Recognition in Neuroimaging (PRNI), 2016 International Workshop on. :1-4 Jun, 2016
Subject
Bioengineering
Signal Processing and Analysis
Electroencephalography
Numerical analysis
Kernel
Brain modeling
Iron
Electrodes
Mathematical model
causal inference
causal variable construction
instrumental variable
linear mixtures
regression-based conditional independence criterion
Language
Abstract
Causal inference concerns the identification of cause-effect relationships between variables. However, often only linear combinations of variables constitute meaningful causal variables. For example, recovering the signal of a cortical source from electroencephalography requires a well-tuned combination of signals recorded at multiple electrodes. We recently introduced the MERLiN (Mixture Effect Recovery in Linear Networks) algorithm that is able to recover, from an observed linear mixture, a causal variable that is a linear effect of another given variable. Here we relax the assumption of this cause-effect relationship being linear and present an extended algorithm that can pick up non-linear cause-effect relationships. Thus, the main contribution is an algorithm (and ready to use code) that has broader applicability and allows for a richer model class. Furthermore, a comparative analysis indicates that the assumption of linear cause-effect relationships is not restrictive in analysing electroencephalographic data.