In our contribution we investigate a sparse coded Boltzmann machine as a model for the formation of orientation selective receptive elds in primary visual cortex. The model consists of two layers of neurons which are recurrently connected and which represent the lateral geniculate nucleus and primary visual cortex. Neu-rons have ternary activity values +1, ?1, and 0, where the 0-state is degene...

F.X. Albizuri, A.I. Gonzalez, M. Graña, A. d’Anjou University of the Basque Country Informatika Fakultatea, P.K. 649, 20080 Donostia, Spain E-mail: [email protected]; Fax: + 34 943 219306 Abstract. In this paper we define a Boltzmann machine for modelling probability distributions on categorical data, that is, distributions on a set of variables with a finite discrete range. The distribution m...

We are interested in electrons kinetics in a stellar atmosphere to validate or invalidate the usually accepted hypothesis of thermalisation of electrons. For this purpose, we calculate the velocity distribution function of electrons by solving the kinetic equation of these particles together with the equations of radiative transfer and statistical equilibrium. We note that this distribution can...

We study parity-time-symmetric non-Hermitian quantum systems at finite temperature, where the Boltzmann distribution law fails to hold. To characterize their abnormal physical properties, a statistical theory (the so-called Liouvillian theory) is developed, in which replaced by Liouvillian-Boltzmann law. Using theory, we derive analytical results of thermodynamic properties for and find that ``...

This study presents an integrated multiscale framework for modelling ionic diffusivity in unsaturated concrete accounting its microstructural features and 3D moisture distribution. The hierarchical microstructure of at from nano- to meso-scale is mimicked, based on which the fluid-solid interaction distribution pore network with various saturation levels are simulated using a lattice Boltzmann ...

We present a Lattice-Boltzmann method for simulating self-propelling (active) colloidal particles in two dimensions. Active particles with symmetric and asymmetric force distribution on their surface are considered. The velocity field generated by a single active particle, changing its orientation randomly, and the different time scales involved are characterized in detail. The steady-state spe...

A three-dimensional lattice Boltzmann model with thirty two discrete velocity distribution functions for viscoelastic fluid is presented in this work. The model is based upon the generalized lattice Boltzmann equation constructed in moment space. The nonlinear equilibria of the model have a number of coupling constants that are free parameters. The dispersion equation of the model is analyzed u...

A finite difference lattice Boltzmann method based on the Bhatnagar–Gross–Krook-type modeled Boltzmann equation is proposed. Themethod relies on a different lattice equilibriumparticle distribution function and the use of a splitting method to solve the modeled lattice Boltzmann equation. The splitting technique permits the boundary conditions for the lattice Boltzmann equation to be set as con...

In the present study, temporal behavior of entanglement between photonic binomial distributions and a two-level atom in a leaky cavity, in equilibrium with the environment at a temperature T, is studied. In this regard, the master equation is solved in the secular approximation for the density matrix, when the initial photonic distribution is binomial, while the atomic states obey the Boltzmann...