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research article

Guided graph spectral embedding: Application to the C. elegans connectome

Petrovic, Miljan  
•
Bolton, Thomas A. W.  
•
Preti, Maria Giulia  
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January 1, 2019
Network Neuroscience

Graph spectral analysis can yield meaningful embeddings of graphs by providing insight into distributed features not directly accessible in nodal domain. Recent efforts in graph signal processing have proposed new decompositions-for example, based on wavelets and Slepians-that can be applied to filter signals defined on the graph. In this work, we take inspiration from these constructions to define a new guided spectral embedding that combines maximizing energy concentration with minimizing modified embedded distance for a given importance weighting of the nodes. We show that these optimization goals are intrinsically opposite, leading to a well-defined and stable spectral decomposition. The importance weighting allows us to put the focus on particular nodes and tune the trade-off between global and local effects. Following the derivation of our new optimization criterion, we exemplify the methodology on the C. elegans structural connectome. The results of our analyses confirm known observations on the nematode's neural network in terms of functionality and importance of cells. Compared with Laplacian embedding, the guided approach, focused on a certain class of cells (sensory neurons, interneurons, or motoneurons), provides more biological insights, such as the distinction between somatic positions of cells, and their involvement in low- or high-order processing functions.

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Type
research article
DOI
10.1162/netn_a_00084
Web of Science ID

WOS:000477902000011

Author(s)
Petrovic, Miljan  
Bolton, Thomas A. W.  
Preti, Maria Giulia  
Liegeois, Raphael  
Van de Ville, Dimitri  
Date Issued

2019-01-01

Published in
Network Neuroscience
Volume

3

Issue

3

Start page

807

End page

826

Subjects

Neurosciences

•

Neurosciences & Neurology

•

spectral graph domain

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graph embedding

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low-dimensional space

•

focused connectomics

•

spheroidal wave-functions

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nervous-system

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dimensionality reduction

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fourier-analysis

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neural circuit

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neurons

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chemotaxis

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locomotion

Note

This is an open access article under the terms of the Creative Commons Attribution License

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MIPLAB  
Available on Infoscience
August 13, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/159704
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