Zobrazeno 1 - 10
of 7 355
pro vyhledávání: '"A. Theriault"'
Autor:
Chenery, Sebastian, Theriault, Stephen
Gyrations are operations on manifolds that arise in geometric topology, where a manifold $M$ may exhibit distinct gyrations depending on the chosen twisting. For a given $M$, we ask a natural question: do all gyrations of $M$ share the same homotopy
Externí odkaz:
http://arxiv.org/abs/2412.13931
Autor:
Stanton, Lewis, Theriault, Stephen
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of $S^2$ and $S^
Externí odkaz:
http://arxiv.org/abs/2412.04116
Modelling Structured Data Learning with Restricted Boltzmann Machines in the Teacher-Student Setting
Restricted Boltzmann machines (RBM) are generative models capable to learn data with a rich underlying structure. We study the teacher-student setting where a student RBM learns structured data generated by a teacher RBM. The amount of structure in t
Externí odkaz:
http://arxiv.org/abs/2410.16150
For a fixed integer $d\geq 1$, we show that two quasitoric manifolds over a product of $d$-simplices are homotopy equivalent after appropriate localization, provided that their integral cohomology rings are isomorphic.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2405.00932
We give a characterization of the codomain $[\ell]E(k)$ of the multiplication-by-$\ell$ map $[\ell]$ in the case of elliptic curves over a field $k$ of characteristic $\ne 2,3$ with $\ell$-torsion $E[\ell]=\langle W_1,W_2 \rangle$ fully defined over
Externí odkaz:
http://arxiv.org/abs/2403.06619
Autor:
Theriault, Stephen
Let M be a simply-connected closed Poincare Duality complex of dimension n. Then M is obtained by attaching a cell of highest dimension to its (n-1)-skeleton M'. Conditions are given for when the skeletal inclusion i:M' --> M has the property that th
Externí odkaz:
http://arxiv.org/abs/2402.13775
Autor:
Thériault, Robin, Tantari, Daniele
Publikováno v:
SciPost Phys. 17 (2024) 040
Dense Hopfield networks are known for their feature to prototype transition and adversarial robustness. However, previous theoretical studies have been mostly concerned with their storage capacity. We bridge this gap by studying the phase diagram of
Externí odkaz:
http://arxiv.org/abs/2401.04191
Autor:
Faye, Ndeye Fatou, Fall, Talla, Reardon, Thomas, Theriault, Veronique, Ngom, Yacine, Barry, Mamadou Bobo, Sy, Mouhamed Rassoul
Publikováno v:
Journal of Agribusiness in Developing and Emerging Economies, 2023, Vol. 14, Issue 5, pp. 958-978.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/JADEE-05-2022-0090
Autor:
Boukacem, Nacer Eddine, Leary, Allen, Thériault, Robin, Gottlieb, Felix, Mani, Madhav, François, Paul
Networks in machine learning offer examples of complex high-dimensional dynamical systems reminiscent of biological systems. Here, we study the learning dynamics of Generalized Hopfield networks, which permit a visualization of internal memories. The
Externí odkaz:
http://arxiv.org/abs/2312.03012
Autor:
Chen, Lu, Roux, Léna Le, Grissonnanche, Gaël, Boulanger, Marie-Eve, Thériault, Steven, Liang, Ruixing, Bonn, D. A., Hardy, W. N., Pyon, S., Takayama, T., Takagi, H., Xu, Kejun, Shen, Zhi-Xun, Taillefer, Louis
Publikováno v:
Phys. Rev. X 14, 041011 (2024)
A surprising "planar" thermal Hall effect, whereby the field is parallel to the current, has recently been observed in a few magnetic insulators, and this has been attributed to exotic excitations such as Majorana fermions or chiral magnons. Here we
Externí odkaz:
http://arxiv.org/abs/2310.07696