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We study the volume of the critical clusters for the percolation of the level sets of the Gaussian free field on metric graphs. On $\mathbb{Z}^d$ below the upper-critical dimension $d=6$, we show that the largest such cluster in a box of side length
Externí odkaz:
http://arxiv.org/abs/2412.06772
Autor:
DeMoor, Michael G., Prevost, John J.
Deep Metric Learning (DML) loss functions traditionally aim to control the forces of separability and compactness within an embedding space so that the same class data points are pulled together and different class ones are pushed apart. Within the c
Externí odkaz:
http://arxiv.org/abs/2408.15656
Medical images are often acquired in different settings, requiring harmonization to adapt to the operating point of algorithms. Specifically, to standardize the physical spacing of imaging voxels in heterogeneous inference settings, images are typica
Externí odkaz:
http://arxiv.org/abs/2407.03681
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. Under the sole assumption that its sign clusters do not percolate, we derive an e
Externí odkaz:
http://arxiv.org/abs/2405.17417
We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{-a}$ at large distances $r$, for some $0< a< d$ where $d$ is the underlying spatial dimension. For several of
Externí odkaz:
http://arxiv.org/abs/2403.18787
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume that balls in ${G}$ have polynomial volume growth with growth exponent
Externí odkaz:
http://arxiv.org/abs/2312.10030
Autor:
Edouard, Nadaud, Thibault, Geoffroy, Tesnim, Khelifi, Antoun, Yaacoub, Siba, Haidar, NourhÈne, Ben Rabah, Pierre, Aubin Jean, Lionel, Prevost, Benedicte, Le Grand
In this study, we investigate the combination of indicators, including performance, behavioral engagement, and emotional engagement, to identify students experiencing difficulties. We analyzed data from two primary sources: digital traces extracted f
Externí odkaz:
http://arxiv.org/abs/2311.05513
Autor:
Yahya Lamrani, Frédéric Colas, Thierry Van Cutsem, Carmen Cardozo, Thibault Prevost, Xavier Guillaud
Publikováno v:
IET Generation, Transmission & Distribution, Vol 18, Iss 23, Pp 3863-3877 (2024)
Abstract The increasing penetration of power‐electronics interfaced resources brings new challenges regarding the small‐signal stability of power systems. To address this issue, grid‐forming (GFM) controlled converters have emerged as an altern
Externí odkaz:
https://doaj.org/article/b4952e77b5ac426582d987bd2dd65067
Autor:
Guro Birgitte Stene, May Aasebø Hauken, Hilde Hjelmeland Ahmedzai, Constance Gaard Storvestre, Skjalg Eirik Vervik, Joanne Bayly, Augusto Tommaso Caraceni, Stefania Costi, Guillaume Economos, Mai-Britt Guldin, Barry J. A. Laird, Lise Nottelmann, Matthew Maddocks, Andrew Toby Prevost, Julia Romeyer, Line Merethe Oldervoll
Publikováno v:
BMC Palliative Care, Vol 23, Iss 1, Pp 1-15 (2024)
Abstract Background Incurable cancer is a major contributor to societal suffering and disability, and palliative rehabilitation is recommended to be integrated within and between cancer services at all healthcare levels. However, little knowledge exi
Externí odkaz:
https://doaj.org/article/4b804ae4cbb144a990871f4018bdc36e
Autor:
Prévost, Alexis
The study of first passage percolation (FPP) for the random interlacements model has been initiated in arXiv:2112.12096, where it is shown that on $\mathbb{Z}^d$, $d\geq 3$, the FPP distance is comparable to the graph distance with high probability.
Externí odkaz:
http://arxiv.org/abs/2309.03880