An algorithm called ICM-TM is proposed to reduce the effect of Gaussian noise in grayscale images based on a kind of Artificial Neural Networks type Pulse-Coupled simplified called Intersection Cortical Model (ICM). A Time Matrix (TM) provides the respective information to the iteration number where first activated neuron corresponding to each pixel; a selective filtering criteria is establishe...

We study the nonparametric covariance estimation of a stationary Gaussian field X observed on a regular lattice. In the time series setting, some procedures like AIC are proved to achieve optimal model selection among autoregressive models. However, there exists no such equivalent results of adaptivity in a spatial setting. By considering collections of Gaussian Markov random fields (GMRF) as a...

We study the non-parametric covariance estimation of a stationary Gaussian field X observed on a lattice. To tackle this issue, we have introduced a model selection procedure in a previous paper [Ver09]. This procedure amounts to selecting a neighborhood m̂ by a penalization method and estimating the covariance of X in the space of Gaussian Markov random fields (GMRFs) with neighborhood m̂. Such ...

The compound 2-[5-(4-chlorophenyl)-4,5-dihydro-1H-pyrazol-3-yl]phenol has been synthesized from chalcone. The molecular structure and vibrational spectra of the titled compound have been investigated by ab-initio (RHF and MP2) and Density Functional Theory (DFT) methods using different basis sets. Computed values have been analyzed and their characterization was made with the help of Gauss View...

A simple solvent-free protocol for the preparation of flunixin, a potent non-narcotic, non-steroidal anti-inflammatory drugs is reported using boric acid as catalyst. Its salt, flunixin meglumine are then prepared under reflux in EtOH. This sustainable method are then extended for the synthesis of a series of 2-(arylamino) nicotinic acid derivatives. The present protocol combines non-hazardous ...

Q: Consider an uncorrelated (white) Gaussian signal s(t). Calculate its 3rd and 4th order moments, m3 = ⟨s(t1)s(t2)s(t3)⟩ and m4 = ⟨s(t1)s(t2)s(t3)s(t4)⟩. Confirm with simulation. The third moment m3 = ⟨s(t1)s(t2)s(t3)⟩ is zero. Namely, if t1 ̸= t2 ̸= t3 then m3 = ⟨s⟩ = 03 = 0. If t1 = t2 = t3, m3 = ⟨ s3 ⟩ = ́ N (0, σ2)x3dx = 0, as this is the integral over an odd function. For t1 = t2 ̸= t3, m3 = ...

This paper develops and compares the MAP and MMSE estimators for spherically-contoured multivariate Laplace random vectors in additive white Gaussian noise. The MMSE estimator is expressed in closed-form using the generalized incomplete gamma function. We also find a computationally efficient yet accurate approximation for the MMSE estimator. In addition, this paper develops an expression for t...

The present study deals with the solvent effect on the electronic spectra of 2,4-dihydroxy-5fluoropyrimidine i.e, the effect of polar solvents are ethanol, methanol, and water has been studied on the electronic transitions of the title molecule both experimentally and theoretically. The homo lumo analysis has been studied. Theoretical calculations are made with the help of Gaussian 03 by using ...