420 citations · 795 across the 15 of their papers we have counts for
10 papers · 1 filter
Total/dual correlation/coherence, redundancy/synergy, complexity, and O-information for real and complex valued multivariate data
Roberto D. Pascual-Marqui, Kieko Kochi, Toshihiko Kinoshita
Firstly, assuming Gaussianity, equations for the following information theory measures are presented: total correlation/coherence (TC), dual total correlation/coherence (DTC), O-in…
Distance-based Chatterjee correlation: a new generalized robust measure of directed association for multivariate real and complex-valued data
Roberto D. Pascual-Marqui, Kieko Kochi, Toshihiko Kinoshita
Building upon the Chatterjee correlation (2021: J. Am. Stat. Assoc. 116, p2009) for two real-valued variables, this study introduces a generalized measure of directed association b…
Lagged coherence: explicit and testable definition
Roberto D. Pascual-Marqui, Kieko Kochi, Toshihiko Kinoshita
Measures of association between cortical regions based on activity signals provide useful information for studying brain functional connectivity. Difficulties occur with signals of…
Innovations orthogonalization: a solution to the major pitfalls of EEG/MEG "leakage correction"
Roberto D. Pascual-Marqui, Rolando J. Biscay, Jorge Bosch-Bayard +6
The problem of interest here is the study of brain functional and effective connectivity based on non-invasive EEG-MEG inverse solution time series. These signals generally have lo…
Isolated effective coherence (iCoh): causal information flow excluding indirect paths
RD Pascual-Marqui, RJ Biscay, J Bosch-Bayard +5
A problem of great interest in real world systems, where multiple time series measurements are available, is the estimation of the intra-system causal relations. For instance, elec…
A measure of association between vectors based on "similarity covariance"
Roberto D. Pascual-Marqui, Dietrich Lehmann, Kieko Kochi +2
The "maximum similarity correlation" definition introduced in this study is motivated by the seminal work of Szekely et al on "distance covariance" (Ann. Statist. 2007, 35: 2769-27…
Interaction patterns of brain activity across space, time and frequency. Part I: methods
Roberto D. Pascual-Marqui, Rolando J. Biscay-Lirio
We consider exploratory methods for the discovery of cortical functional connectivity. Typically, data for the i-th subject (i=1...NS) is represented as an NVxNT matrix Xi, corresp…
Dynamic interactions in terms of senders, hubs, and receivers (SHR) using the singular value decomposition of time series: Theory and brain connectivity applications
Roberto D. Pascual-Marqui, Rolando J. Biscay-Lirio
Understanding of normal and pathological brain function requires the identification and localization of functional connections between specialized regions. The availability of high…
Instantaneous and lagged measurements of linear and nonlinear dependence between groups of multivariate time series: frequency decomposition
Roberto D. Pascual-Marqui
Measures of linear dependence (coherence) and nonlinear dependence (phase synchronization) between any number of multivariate time series are defined. The measures are expressed as…
Coherence and phase synchronization: generalization to pairs of multivariate time series, and removal of zero-lag contributions
Roberto D. Pascual-Marqui
Coherence and phase synchronization between time series corresponding to different spatial locations are usually interpreted as indicators of the connectivity between locations. In…