Simulated Annealing, High-Order Statistics and Mutual Information for Separation of Sources

In this article, the fusion of a stochastic metaheuristic as Simulated Annealing (SA) with classical criteria for convergence of Blind Separation of Sources (BSS), is shown. Although the topic of BSS, by means of various techniques, including ICA, PCA, and neural networks, has been amply discussed in the literature, to date the possibility of using simulated annealing algorithms has not been seriously explored. From experimental results, this paper demonstrates the possible benefits offered by SA in combination with high order statistical and mutual information criteria for BSS, such as robustness against local minima and a high degree of flexibility in the energy function.

Investigating ferromagnetism and charge order in Bi1-xSrxMnO3(x<0.3)ceramic oxides.

The possible coexistence of ferromagnetism and charge/orbital order in Bi3/4Sr1/4MnO3 has been investigated. The manganite Bi0.75Sr0.25MnO3, with commensurate charge balance, undergoes an electronic transition at TCO~600 K that produces a longrange modulation with double periodicity along a and c axis, and unusual anisotropic evolution of the lattice parameters. The previously proposed ferromagnetic properties of this new ordered phase were studied by magnetometry and diffraction techniques. In zero field the magnetic structure is globally antiferromagnetic, ruling out the apparition of spontaneous ferromagnetism. However, the application of magnetic fields produces a continuous progressive canting of the moments, inducing a ferromagnetic phase even for relatively small fields (H<<1 T). Application of pulsed high fields produces a remarkable and reversible spin polarization (under 30 T, the ferromagnetic moment is ~3 ¿B/Mn, without any sign of charge order melting). The coexistence of ferromagnetism and charge order at low and very-high fields is a remarkable property of this system.

Generalization transitions in Hidden-Layer neural networks for third-order feature discrimination

Stochastic learning processes for a specific feature detector are studied. This technique is applied to nonsmooth multilayer neural networks requested to perform a discrimination task of order 3 based on the ssT-block¿ssC-block problem. Our system proves to be capable of achieving perfect generalization, after presenting finite numbers of examples, by undergoing a phase transition. The corresponding annealed theory, which involves the Ising model under external field, shows good agreement with Monte Carlo simulations.

Anatomia macroscòpica i microscòpica de l'aparell genital femení d'Ophidion barbatum (L.) (Pisces, Ophididae)

S'ha realitzat un estudi de l'anatomia macroscòpica i microscòpica de I'ovari d'Ophidion barbatum (L.) (Pisces, Ophidiidae), utilitzant material recollit per pescadors del port de Blanes (mar català) durant el mes d'octubre de 1985. L'absència d'òrgan copulador en els mascles d'aquesta espècie i la posició de l'orifici nasal anterior, a una certa alçada respecte al llavi superior, ens permet identificar-la com una espècie ovípara, del subordre Ophidioidei, dins de l'ordre Ophidiiformes. L'ovari és únic i continuat caudalment per l'oviducte. Els nombrosos cordons intraovarics que tapien la cavitat augmenten considerablement la superfície germinal. El desenvolupament de l'ovari es correspon amb el tipus asincrònic (Marza, 1938) i la fresa repetida al llarg d'una estació reproductiva més o menys llarga és una estrategia que augmenta la fecunditat, normalment limitada pel volum corporal de la femella. Dins de l'ordre Ophidiiformes, el tipus d'ovari únic sense restes de paret mitjana sembla ser la norma entre les espècies de reproducció ovípara. Aquest fet esta en contradicció amb la teoria de Mendoza (1943) que, fora d'algunes excepcions, l'ovari únic es troba principalment en els teleostis vivípars

New approximation to the third-order density : application to the calculation of correlated multicenter indices

In this work we present the formulas for the calculation of exact three-center electron sharing indices (3c-ESI) and introduce two new approximate expressions for correlated wave functions. The 3c-ESI uses the third-order density, the diagonal of the third-order reduced density matrix, but the approximations suggested in this work only involve natural orbitals and occupancies. In addition, the first calculations of 3c-ESI using Valdemoro's, Nakatsuji's and Mazziotti's approximation for the third-order reduced density matrix are also presented for comparison. Our results on a test set of molecules, including 32 3c-ESI values, prove that the new approximation based on the cubic root of natural occupancies performs the best, yielding absolute errors below 0.07 and an average absolute error of 0.015. Furthemore, this approximation seems to be rather insensitive to the amount of electron correlation present in the system. This newly developed methodology provides a computational inexpensive method to calculate 3c-ESI from correlated wave functions and opens new avenues to approximate high-order reduced density matrices in other contexts, such as the contracted Schrödinger equation and the anti-Hermitian contracted Schrödinger equation