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Matching parcellations using Optimal Transport: a proof of concept

Abstract : Many techniques have been proposed to divide the brain based on structural connectivity. However, even when produced by the same technique, the resulting parcellations tend to differ in the number, shape, and spatial localization of parcels across subject. Matching parcels across subjects is an open problem. We propose to use Optimal Transport (OT) theory to tackle this issue. OT theory studies the efficient transportation of mass between two probability distributions with respect to a certain cost function. As a proof of concept, we show that OT can match parcels of the Desikan atlas across different subjects, using only the structural connectivity fingerprint of each parcel. We use the Desikan atlas since it is used as a prior parcellation in several connectivity studies. For comparison purposes we also match parcels using two additional methods based on the Euclidean and cosine distance. Our results show that the technique based on OT is the most efficient.
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https://hal.inria.fr/hal-01713345
Contributor : Nathalie Thérèse Hélène Gayraud <>
Submitted on : Tuesday, February 20, 2018 - 2:44:43 PM
Last modification on : Monday, October 12, 2020 - 10:28:54 AM
Long-term archiving on: : Monday, May 21, 2018 - 1:03:03 PM

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Guillermo Gallardo, Nathalie Thérèse Hélène Gayraud, Maureen Clerc, Demian Wassermann. Matching parcellations using Optimal Transport: a proof of concept. Computational Brain Connectivity Mapping – Winter School Workshop 2017, Nov 2017, Juan-les-Pins, France. ⟨hal-01713345⟩

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