2018
DOI: 10.1007/978-3-030-00931-1_17
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A Riemannian Framework for Longitudinal Analysis of Resting-State Functional Connectivity

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Cited by 15 publications
(31 citation statements)
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“…To center each subject's correlation matrices, we took the approach advocated by Zhao et al (2018), which leverages the natural geometry of the space of covariance matrices. We have implemented many of the computations required to replicate the analysis in an R package spdm (symmetric positive-definite matrix), which is freely available from a Git repository at https://gitlab.com/fmriToolkit/spdm.…”
Section: Functional Connectivity Estimation and Comparisonmentioning
confidence: 99%
See 1 more Smart Citation
“…To center each subject's correlation matrices, we took the approach advocated by Zhao et al (2018), which leverages the natural geometry of the space of covariance matrices. We have implemented many of the computations required to replicate the analysis in an R package spdm (symmetric positive-definite matrix), which is freely available from a Git repository at https://gitlab.com/fmriToolkit/spdm.…”
Section: Functional Connectivity Estimation and Comparisonmentioning
confidence: 99%
“…where log denotes the matrix logarithm. We then transported each tangent vector to the grand meanS gm using the transport proposed by Zhao et al (2018), obtaining a centered tangent vector…”
Section: Functional Connectivity Estimation and Comparisonmentioning
confidence: 99%
“…We then translated each tangent vector to the grand mean resting state scanR using the transport proposed by Zhao et al (2018), obtaining a centered tangent vector…”
Section: Covariance Estimation Centering and Embeddingmentioning
confidence: 99%
“…These methods usually require fitting probability distributions in a high dimensional space, which is a challenging task. Moreover, it has been found that the underlying distributions of both fMRI measurements [6] and the derived correlation matrices [10] lie on a non-linear latent space. Therefore, modeling Gaussian-mixtures in the original space is suboptimal.…”
Section: Related Workmentioning
confidence: 99%