Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Molinier, Remi"'
Autor:
Hackney, Philip, Molinier, Rémi
A partial group with $n+1$ elements is, when regarded as a symmetric simplicial set, of dimension at most $n$. This dimension is $n$ if and only if the partial group is a group. As a consequence of the first statement, finite partial groups are genui
Externí odkaz:
http://arxiv.org/abs/2406.19854
Stability, akin to reproducibility, is crucial in statistical analysis. This paper examines the stability of sparse network inference in high-dimensional graphical models, where selected edges should remain consistent across different samples. Our st
Externí odkaz:
http://arxiv.org/abs/2406.09865
Machine learning methods usually rely on large sample size to have good performance, while it is difficult to provide labeled set in many applications. Pool-based active learning methods are there to detect, among a set of unlabeled data, the ones th
Externí odkaz:
http://arxiv.org/abs/2310.01597
Autor:
Lemoine, Nicolas, Molinier, Rémi
In this article, we compare two different notions of partially defined group strutures, namely partial groups and pregroups, as introduced by Chermak and Stallings respectively. In particular we prove that the category of pregroups can be seen as a f
Externí odkaz:
http://arxiv.org/abs/2303.05157
Crystallization represents a fundamental process engendering solidification of a material and determines its microstructure. Driven by complex phenomena at the atomic scale, its understanding for alloys still remains elusive. The present work propose
Externí odkaz:
http://arxiv.org/abs/2210.01894
Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms remain however to be unraveled. Crystal nucleation, the early stages wher
Externí odkaz:
http://arxiv.org/abs/2202.03767
Autor:
Lemoine, Nicolas, Molinier, Rémi
Publikováno v:
In Journal of Algebra 1 December 2024 659:859-901
We propose an unsupervised learning methodology with descriptors based on Topological Data Analysis (TDA) concepts to describe the local structural properties of materials at the atomic scale. Based only on atomic positions and without a priori knowl
Externí odkaz:
http://arxiv.org/abs/2109.08126
Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms remain however to be unravelled. Crystal nucleation, the early stages whe
Externí odkaz:
http://arxiv.org/abs/2109.06797
It is well known that not every finite group arises as the full automorphism group of some group. Here we show that the situation is dramatically different when considering the category of partial groups, ${{\mathcal P}art}$, as defined by Chermak: g
Externí odkaz:
http://arxiv.org/abs/2107.14084