Zobrazeno 1 - 10
of 5 486
pro vyhledávání: '"A. Fantuzzi"'
Transformers are extremely successful machine learning models whose mathematical properties remain poorly understood. Here, we rigorously characterize the behavior of transformers with hardmax self-attention and normalization sublayers as the number
Externí odkaz:
http://arxiv.org/abs/2407.01602
We consider an internally heated fluid between parallel plates with fixed thermal fluxes. For a large class of heat sources that vary in the direction of gravity, we prove that $\langle\delta T \rangle_h \geq \sigma R^{-1/3} - \mu$, where $\langle\de
Externí odkaz:
http://arxiv.org/abs/2402.19240
Autor:
Dickers, Matthew D., Sushko, Gennady B., Korol, Andrei V., Mason, Nigel J., Fantuzzi, Felipe, Solov'yov, Andrey V.
Publikováno v:
Eur. Phys. J. D 78, 77 (2024)
In this study, we conduct atomistic-level molecular dynamics simulations on fixed-sized silicon-germanium (Si$_{1-x}$Ge$_{x}$) crystals to elucidate the effects of dopant concentration and temperature on the crystalline inter-planar distances. Our ca
Externí odkaz:
http://arxiv.org/abs/2402.10120
Invariant measures encode the long-time behaviour of a dynamical system. In this work, we propose an optimization-based method to discover invariant measures directly from data gathered from a system. Our method does not require an explicit model for
Externí odkaz:
http://arxiv.org/abs/2308.15318
Autor:
Della Pietra, Francesco, Fantuzzi, Giovanni, Ignat, Liviu I., Masiello, Alba Lia, Paoli, Gloria, Zuazua, Enrique
We consider finite element approximations to the optimal constant for the Hardy inequality with exponent $p=2$ in bounded domains of dimension $n=1$ or $n \geq 3$. For finite element spaces of piecewise linear and continuous functions on a mesh of si
Externí odkaz:
http://arxiv.org/abs/2308.01580
Autor:
Fantuzzi, Giovanni, Fuentes, Federico
Publikováno v:
SIAM J. Sci. Comput. 46(4):A2123-A2149, 2024
We describe a `discretize-then-relax' strategy to globally minimize integral functionals over functions $u$ in a Sobolev space subject to Dirichlet boundary conditions. The strategy applies whenever the integral functional depends polynomially on $u$
Externí odkaz:
http://arxiv.org/abs/2305.18801
The bistable deployable composite boom (Bi-DCB) can achieve bistable function by storing and releasing strain energy, which has a good application prospect in space field. For example, it serves as the main support section of deployable structures (e
Externí odkaz:
http://arxiv.org/abs/2305.08131
The bistable deployable composite boom (Bi-DCB) can realize the bistable function by storing and releasing strain energy, which has a good application prospect in the aerospace field. In this paper, the folding stable state of the Bi-DCB was investig
Externí odkaz:
http://arxiv.org/abs/2305.05289
We present a flexible data-driven method for dynamical system analysis that does not require explicit model discovery. The method is rooted in well-established techniques for approximating the Koopman operator from data and is implemented as a semide
Externí odkaz:
http://arxiv.org/abs/2303.01483
Publikováno v:
Composites Part C: Open Access, Vol 15, Iss , Pp 100511- (2024)
This article explores how the mechanical properties of composite polymers reinforced with jute fibers are influenced by manufacturing conditions, specifically pressure and temperature. To investigate this, a total of 45 distinct samples were created,
Externí odkaz:
https://doaj.org/article/2db28536b1d64309b5f59fee0fdd1f4b
