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@article{ashburner1998identifying,
title={Identifying global anatomical differences: deformation-based morphometry},
author={Ashburner, John and Hutton, Chloe and Frackowiak, Richard and Johnsrude, Ingrid and Price, Cathy and Friston, Karl and others},
journal={Human brain mapping},
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@article{ashburner2000voxel,
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journal={Neuroimage},
volume={11},
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pages={805--821},
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@article{benamou2003numerical,
title={Numerical resolution of an “unbalanced” mass transport problem},
author={Benamou, Jean-David},
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@article{bookstein2001voxel,
title={“Voxel-based morphometry” should not be used with imperfectly registered images},
author={Bookstein, Fred L},
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@article{davatzikos2004voxel,
title={Why voxel-based morphometric analysis should be used with great caution when characterizing group differences},
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@inproceedings{cuturi2013sinkhorn,
title={Sinkhorn distances: Lightspeed computation of optimal transport},
author={Cuturi, Marco},
booktitle={Advances in neural information processing systems},
pages={2292--2300},
year={2013}
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@inproceedings{cuturi2014fast,
title={Fast computation of Wasserstein barycenters},
author={Cuturi, Marco and Doucet, Arnaud},
booktitle={International Conference on Machine Learning},
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year={2014}
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@article{durrleman2014morphometry,
title={Morphometry of anatomical shape complexes with dense deformations and sparse parameters},
author={Durrleman, Stanley and Prastawa, Marcel and Charon, Nicolas and Korenberg, Julie R and Joshi, Sarang and Gerig, Guido and Trouv{\'e}, Alain},
journal={NeuroImage},
volume={101},
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year={2014},
publisher={Elsevier}
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@inproceedings{feydy2017optimal,
title={Optimal Transport for Diffeomorphic Registration},
author={Feydy, Jean and Charlier, Benjamin and Vialard, Fran{\c{c}}ois-Xavier and Peyr{\'e}, Gabriel},
booktitle={International Conference on Medical Image Computing and Computer-Assisted Intervention},
pages={291--299},
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@book{frackowiak2004human,
title={Human brain function},
author={Frackowiak, Richard SJ},
year={2004},
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@article{gaser2001deformation,
title={Deformation-based morphometry and its relation to conventional volumetry of brain lateral ventricles in MRI},
author={Gaser, Christian and Nenadic, Igor and Buchsbaum, Bradley R and Hazlett, Erin A and Buchsbaum, Monte S},
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volume={13},
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@article{gerber2010manifold,
title={Manifold modeling for brain population analysis},
author={Gerber, Samuel and Tasdizen, Tolga and Fletcher, P Thomas and Joshi, Sarang and Whitaker, Ross},
journal={Medical image analysis},
volume={14},
number={5},
pages={643--653},
year={2010},
publisher={Elsevier}
}
@article{gerber2017multiscale,
title={Multiscale Strategies for Computing Optimal Transport},
author={Gerber, Samuel and Maggioni, Mauro},
journal={Journal of Machine Learning Research},
volume={18},
number={72},
pages={1--32},
year={2017}
}
@inproceedings{gramfort2015fast,
title={Fast optimal transport averaging of neuroimaging data},
author={Gramfort, Alexandre and Peyr{\'e}, Gabriel and Cuturi, Marco},
booktitle={International Conference on Information Processing in Medical Imaging},
pages={261--272},
year={2015},
organization={Springer}
}
@article{grinberg2011brainstem,
title={Brainstem: neglected locus in neurodegenerative diseases},
author={Grinberg, Lea T and Rueb, Udo and Heinsen, Helmut},
journal={Frontiers in neurology},
volume={2},
pages={42},
year={2011},
publisher={Frontiers}
}
@phdthesis{guittet2002extended,
title={Extended Kantorovich norms: a tool for optimization},
author={Guittet, Kevin},
year={2002},
school={INRIA}
}
@article{jones2005effect,
title={The effect of filter size on VBM analyses of DT-MRI data},
author={Jones, Derek K and Symms, Mark R and Cercignani, Mara and Howard, Robert J},
journal={Neuroimage},
volume={26},
number={2},
pages={546--554},
year={2005},
publisher={Elsevier}
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@article{kundu2018discovery,
title={Discovery and visualization of structural biomarkers from MRI using transport-based morphometry},
author={Kundu, Shinjini and Kolouri, Soheil and Erickson, Kirk I and Kramer, Arthur F and McAuley, Edward and Rohde, Gustavo K},
journal={NeuroImage},
volume={167},
pages={256--275},
year={2018},
publisher={Elsevier}
}
@article{lao2004morphological,
title={Morphological classification of brains via high-dimensional shape transformations and machine learning methods},
author={Lao, Zhiqiang and Shen, Dinggang and Xue, Zhong and Karacali, Bilge and Resnick, Susan M and Davatzikos, Christos},
journal={Neuroimage},
volume={21},
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year={2004},
publisher={Elsevier}
}
@article{marcus2010open,
title={Open access series of imaging studies: longitudinal MRI data in nondemented and demented older adults},
author={Marcus, Daniel S and Fotenos, Anthony F and Csernansky, John G and Morris, John C and Buckner, Randy L},
journal={Journal of cognitive neuroscience},
volume={22},
number={12},
pages={2677--2684},
year={2010},
publisher={MIT Press}
}
@article{quach2014early,
title={Early-onset dementias: Specific etiologies and contribution of MRI},
author={Quach, C and Hommet, C and Mondon, K and Lauvin, MA and Cazals, X and Cottier, JP},
journal={Diagnostic and interventional imaging},
volume={95},
number={4},
pages={377--398},
year={2014},
publisher={Elsevier}
}
@article{rolet2018blind,
title={Blind Source Separation with Optimal Transport Non-negative Matrix Factorization},
author={Rolet, Antoine and Seguy, Vivien and Blondel, Mathieu and Sawada, Hiroshi},
journal={arXiv preprint arXiv:1802.05429},
year={2018}
}
@book{talaraich:book88,
address = {New York},
author = {Talairach, J. and Tournoux, P.},
publisher = {Thieme},
title = {Co-planar stereotaxic atlas of the human brain. 3-Dimensional proportional system: an approach to cerebral imaging},
year = {1988}
}
@ARTICLE{Zou05regularizationand,
author = {Hui Zou and Trevor Hastie},
title = {Regularization and variable selection via the Elastic Net},
journal = {Journal of the Royal Statistical Society, Series B},
year = {2005},
volume = {67},
pages = {301--320}
}