Zobrazeno 1 - 10
of 2 100
pro vyhledávání: '"Heyes, P"'
We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate that, by simple modifications to the data encoding and reward function, o
Externí odkaz:
http://arxiv.org/abs/2405.21017
Real 3-manifold triangulations can be uniquely represented by isomorphism signatures. Databases of these isomorphism signatures are generated for a variety of 3-manifolds and knot complements, using SnapPy and Regina, then these language-like inputs
Externí odkaz:
http://arxiv.org/abs/2405.09610
Autor:
Rahman, Muhammad Rizwanur, Shen, Li, Ewen, James P., Heyes, D. M., Dini, Daniele, Smith, E. R.
Thin films, bubbles and membranes are central to numerous natural and engineering processes, i.e., in thin-film solar cells, coatings, biosensors, electrowetting displays, foams, and emulsions. Yet, the characterization and an adequate understanding
Externí odkaz:
http://arxiv.org/abs/2311.00419
Autor:
Aggarwal, Daattavya, He, Yang-Hui, Heyes, Elli, Hirst, Edward, Earp, Henrique N. Sá, Silva, Tomás S. R.
Publikováno v:
Phys.Lett.B 850 (2024) 138517
We propose a machine learning approach to study topological quantities related to the Sasakian and $G_2$-geometries of contact Calabi-Yau $7$-manifolds. Specifically, we compute datasets for certain Sasakian Hodge numbers and for the Crowley-N\"ordst
Externí odkaz:
http://arxiv.org/abs/2310.03064
Autor:
Chen, Siqi, Dechant, Pierre-Philippe, He, Yang-Hui, Heyes, Elli, Hirst, Edward, Riabchenko, Dmitrii
Publikováno v:
Adv. Appl. Clifford Algebras 34, 20 (2024)
There has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric transformation of interest in the context of root systems, reflection
Externí odkaz:
http://arxiv.org/abs/2310.00041
Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algorithm. As a proof of principle, we demonstrate that our algorithm repro
Externí odkaz:
http://arxiv.org/abs/2306.06159
Autor:
Muhammad Rizwanur Rahman, Li Shen, James P. Ewen, David M. Heyes, Daniele Dini, Edward R. Smith
Publikováno v:
Communications Physics, Vol 7, Iss 1, Pp 1-11 (2024)
Abstract Thin films, bubbles and membranes are central to numerous natural and engineering processes, i.e., in solar cells, coatings, biosensors, foams, and emulsions. Yet, the characterization and understanding of their rupture is limited by the sca
Externí odkaz:
https://doaj.org/article/34fe965a9d364b80bb6975302e5b2d16
We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approximate eigenvalues and eigenmodes of the Dolbeault Laplacian acting on bu
Externí odkaz:
http://arxiv.org/abs/2305.08901
To increase the science rate for high data rates/volumes, Thomas Jefferson National Accelerator Facility (JLab) has partnered with Energy Sciences Network (ESnet) to define an edge to data center traffic shaping / steering transport capability featur
Externí odkaz:
http://arxiv.org/abs/2303.16351
We survey some recent applications of machine learning to problems in geometry and theoretical physics. Pure mathematical data has been compiled over the last few decades by the community and experiments in supervised, semi-supervised and unsupervise
Externí odkaz:
http://arxiv.org/abs/2303.12626