Neural networks are applied to the system identification problems using adaptive algorithms for either parameter or functional estimation of dynamic systems. In this paper the neural networks' sensitivity to input values and connections' weights, is studied. The Reduction-Sigmoid-Amplification (RSA) neurons are introduced and four different models of neural network architecture are proposed and...

A series of calculations on MgB2 and related isoelectronic systems indicates that the layer of Mg2+ ions lowers the nonbonding B pi ( p(z)) bands relative to the bonding sigma ( sp(x)p(y)) bands compared to graphite, causing sigma-->pi charge transfer and sigma band doping of 0.13 holes/cell. Because of their two dimensionality the sigma bands contribute strongly to the Fermi level density of s...

Extending Aanderaa's classical result that $\pi^1_1<\sigma^1_1$, we determine the order between any two patterns of iterated $\Sigma^1_1$- and $\Pi^1_1$-reflection. We show this \emph{linear reflection order} is a prewellordering length $\omega^\omega$. This requires considering relationship linear some \emph{non-linear} patterns, such as $\sigma^1_1\wedge\pi^1_1$, pattern simultaneous

A comprehensive investigation of the (1)pi pi*, (1)n pi* and (1)pi sigma* excited states of xanthine has been performed with the CASSCF, CASPT2, CC2 and ADC(2) methods. The 7H-diketo and 9H-diketo tautomers of xanthine, which are the lowest-energy tautomers in the ground state, have been studied. Out-of-plane deformation of the purine system in the lowest (1)pi pi* state as well as dissociation...

We study the expressive power and complexity of second-order revised Krom logic (SO-KROM$^{r}$). On ordered finite structures, we show that its existential fragment $\Sigma^1_1$-KROM$^r$ equals $\Sigma^1_1$-KROM, captures NL. all for $k\geq 1$, $\Sigma^1_{k}$ $\Sigma^1_{k+1}$-KROM$^r$ if $k$ is even, $\Pi^1_{k}$ $\Pi^1_{k+1}$-KROM$^r$ odd. The result gives an alternative to capture polynomial h...

Three-body calculations of $K\bar{K}N$ system with quantum numbers $I=1/2$, $J^{\pi}=(\frac{1}{2})^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\pi\Sigma$ mass spectra $(\bar{K}N)_{I=0}+K^{+}\rightarrow(\pi\Sigma)^{0}K^{+}$ reaction on basis three-body Alt-Grassberger-Sandhas equations in momentum representation. In this regard, different types $...

We study the class of Higher-Order Neural Networks and especially the Pi-Sigma Networks. The performance of Pi-Sigma Networks is evaluated through several well known neural network training benchmarks. In the experiments reported here, Distributed Evolutionary Algorithms for Pi-Sigma networks training are presented. More specifically the distributed version of the Differential Evolution algorit...

Three-body calculations of $K\bar{K}N$ system with quantum numbers $I=1/2$, $J^{\pi}=(\frac{1}{2})^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\pi\Sigma$ mass spectra $(\bar{K}N)_{I=0}+K^{+}\rightarrow(\pi\Sigma)^{0}K^{+}$ reaction on basis three-body Alt-Grassberger-Sandhas equations in momentum representation. In this regard, different types $...

Neurons in the primary auditory cortex A1 unitize multidimensional receptive activation fields, which respond to specific frequency bands and timing patterns of the input signal. Such ‚spectro-temporal receptive fields’ (STRF) can experimentally be determined by reverse correlation methods if the activation or output signal patterns of the neurons are known. This seems impossible for neurons in...

Using a data sample corresponding to an integrated luminosity of 11.3 $\rm fb^{-1}$ collected at center-of-mass energies from $4.23$ $4.70$~GeV with the BESIII detector, we observe process $e^+e^-\to\pi^0\pi^0\psi_2(3823)$ for first time statistical significance $6.0\sigma$. The ratio average cross sections over $\pi^+\pi^-\psi_2(3823)$ is determined be $\mathcal{R}=\frac{\sigma[e^+e^-\to\pi^0\...