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Titolo:
On the treatment of thermal and quantum annealing by stochastic variational means
Autore:
Venkatesh, PK;
Indirizzi:
Schlumberger Doll Res Ctr, Ridgefield, CT 06877 USA Schlumberger Doll Res Ctr Ridgefield CT USA 06877 idgefield, CT 06877 USA
Titolo Testata:
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
fascicolo: 2014, volume: 457, anno: 2001,
pagine: 2295 - 2315
SICI:
1364-5021(20011008)457:2014<2295:OTTOTA>2.0.ZU;2-R
Fonte:
ISI
Lingua:
ENG
Soggetto:
GLOBAL OPTIMIZATION;
Keywords:
thermal annealing; quantum annealing; global optimization; microcluster conformation;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
29
Recensione:
Indirizzi per estratti:
Indirizzo: Venkatesh, PK Schlumberger Doll Res Ctr, Old Quarry Rd, Ridgefield, CT 06877 USA Schlumberger Doll Res Ctr Old Quarry Rd Ridgefield CT USA 06877
Citazione:
P.K. Venkatesh, "On the treatment of thermal and quantum annealing by stochastic variational means", P ROY SOC A, 457(2014), 2001, pp. 2295-2315

Abstract

We consider the control of a diffusion process represented by a stochasticdifferential equation of the Ito type. The diffusion process is one of a random walk on the configuration space of a multimodal function and the goalof the control is to determine the optimum variation of the temperature inorder to anneal into the global minimum of the function. Such optimal controls are derived using stochastic variational means by the viscosity solution of a second-order Hamilton-Jacobi-Bellman equation or by minimizing a Feynman-Kac-Wiener path integral. The extension to quantized annealing and the possibilities of a differential game-theoretic formulation for extra diffusive annealing are also considered.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 30/11/20 alle ore 16:09:09