Julien Lefevre
5 papers 217 citations h-index 2 2013–2025
Unraveling the Hidden Environmental Impacts of AI Solutions for Environment
In the past ten years, artificial intelligence has encountered such dramatic progress that it is now seen as a tool of choice to solve environmental issues and in the first place greenhouse gas...
Fiedler Vectors and Elongation of Graphs: A Threshold Phenomenon on a Particular Class of Trees
Let $G$ be a graph. Its laplacian matrix $L(G)$ is positive and we consider eigenvectors of its first non-null eigenvalue that are called Fiedler vector. They have been intensively used in...
Scale-invariant brain morphometry: application to sulcal depth
The geometry of the human cortex is complex and highly variable, with interactions between brain size, cortical folding, and age well-documented in the literature. However, few studies have...
Perturbation of Fiedler vector: interest for graph measures and shape analysis
In this paper we investigate some properties of the Fiedler vector, the so-called first non-trivial eigenvector of the Laplacian matrix of a graph. There are important results about the Fiedler...
Comparing vector fields across surfaces: interest for characterizing the orientations of cortical folds
Vectors fields defined on surfaces constitute relevant and useful representations but are rarely used. One reason might be that comparing vector fields across two surfaces of the same genus is not...