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15 papers · 1 filter
Free energies of Boltzmann Machines: self-averaging, annealed and replica symmetric approximations in the thermodynamic limit
Elena Agliari, Adriano Barra, Brunello Tirozzi
Restricted Boltzmann machines (RBMs) constitute one of the main models for machine statistical inference and they are widely employed in Artificial Intelligence as powerful tools f…
Operational Methods in the Study of Sobolev-Jacobi Polynomials
Nicolas Behr, Giuseppe Dattoli, Gérard H. E. Duchamp +2
Inspired by ideas from umbral calculus and based on the two types of integrals occurring in the defining equations for the gamma and the reciprocal gamma functions, respectively, w…
Implications of the Holst term in a theory with torsion
Flavio Bombacigno, Giovanni Montani
We analyze a modified theory of gravity in the Palatini formulation, when an Holst term endowed with a dynamical Immirzi field is included. We study the basic features of th…
Seeded x-ray free-electron laser generating radiation with laser statistical properties
O. Yu. Gorobtsov, G. Mercurio, F. Capotondi +12
The invention of optical lasers led to a revolution in the field of optics and even to the creation of completely new fields of research such as quantum optics. The reason was thei…
Lévy flights on a comb and the plasma staircase
Alexander V. Milovanov, Jens Juul Rasmussen
We formulate the problem of confined Lévy flight on a comb. The comb represents a sawtooth-like potential field , with the asymmetric teeth favoring net transport in a prefer…
Linear perturbations of an anisotropic Bianchi I model with a uniform magnetic field
Federico Di Gioia, Giovanni Montani
In this work, we study the effect of a magnetic field on the growth of cosmological perturbations. We develop a mathematical consistent treatment in which a perfect fluid and a uni…