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pro vyhledávání: '"Carlos, Ortiz"'
We propose a generative quantum learning algorithm, R\'enyi-ADAPT, using the Adaptive Derivative-Assembled Problem Tailored ansatz (ADAPT) framework in which the loss function to be minimized is the maximal quantum R\'enyi divergence of order two, an
Externí odkaz:
http://arxiv.org/abs/2408.00218
In this paper we analyze the asymptotic behaviour as $p\to 1^+$ of solutions $u_p$ to $$ \left\{ \begin{array}{rclr} -\Delta_pu&=&\lambda|\nabla u|^{p-2}\nabla u\cdot\frac{x}{|x|^2}+ f&\quad \mbox{ in } \Omega,\\ u_p&=&0 &\quad \mbox{ on }\partial\Om
Externí odkaz:
http://arxiv.org/abs/2407.13411
Publikováno v:
SIAM J. Math. Anal., 2024
In this paper we analyze the asymptotic behaviour as $p\to 1^+$ of solutions $u_p$ to $$ \left\{ \begin{array}{rclr} -\Delta_p u_p&=&\frac{\lambda}{|x|^p}|u_p|^{p-2}u_p+f&\quad \mbox{ in } \Omega,\\ u_p&=&0 &\quad \mbox{ on }\partial\Omega, \end{arra
Externí odkaz:
http://arxiv.org/abs/2401.15406
In a nonlocal game, two noncommunicating players cooperate to convince a referee that they possess a strategy that does not violate the rules of the game. Quantum strategies allow players to optimally win some games by performing joint measurements o
Externí odkaz:
http://arxiv.org/abs/2311.01363
The rapid advancement of Generative Adversarial Networks (GANs) necessitates the need to robustly evaluate these models. Among the established evaluation criteria, the Fr\'{e}chetInception Distance (FID) has been widely adopted due to its conceptual
Externí odkaz:
http://arxiv.org/abs/2310.20636
Autor:
Ragone, Michael, Bakalov, Bojko N., Sauvage, Frédéric, Kemper, Alexander F., Marrero, Carlos Ortiz, Larocca, Martin, Cerezo, M.
Publikováno v:
Nature Communications 15, 7172 (2024)
Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit, and measuring the expectation value of some operator. Despite their promise, the trainability of these algorithms is hinde
Externí odkaz:
http://arxiv.org/abs/2309.09342
Autor:
Anna K. Cresswell, Vanessa Haller-Bull, Manuel Gonzalez-Rivero, James P. Gilmour, Yves-Marie Bozec, Diego R. Barneche, Barbara Robson, Kenneth R. N. Anthony, Christopher Doropoulos, Chris Roelfsema, Mitchell Lyons, Peter J. Mumby, Scott Condie, Veronique Lago, Juan-Carlos Ortiz
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract Natural systems exhibit high spatial variability across multiple scales. Models that can capture ecosystem dynamics across space and time by explicitly incorporating major biological mechanisms are crucial, both for management and for ecolog
Externí odkaz:
https://doaj.org/article/bad196d0cb7c447db73d0efffedc9194
Autor:
Michael Ragone, Bojko N. Bakalov, Frédéric Sauvage, Alexander F. Kemper, Carlos Ortiz Marrero, Martín Larocca, M. Cerezo
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-10 (2024)
Abstract Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit, and measuring the expectation value of some operator. Despite their promise, the trainability of these algorithms
Externí odkaz:
https://doaj.org/article/0a72544e20a546e19a1b4d6f166bf15d
Autor:
Aksoy, Sinan G., Bennink, Ryan, Chen, Yuzhou, Frías, José, Gel, Yulia R., Kay, Bill, Naumann, Uwe, Marrero, Carlos Ortiz, Petyuk, Anthony V., Roy, Sandip, Segovia-Dominguez, Ignacio, Veldt, Nate, Young, Stephen J.
We present and discuss seven different open problems in applied combinatorics. The application areas relevant to this compilation include quantum computing, algorithmic differentiation, topological data analysis, iterative methods, hypergraph cut alg
Externí odkaz:
http://arxiv.org/abs/2303.11464