A model for computing image ow in image sequences containing a very wide range of instantaneous ows is proposed. This model integrates the spatio-temporal image derivatives from multiple temporal scales to provide both reliable and accurate instantaneous ow estimates. The integration employs robust regression and automatic scale weighting in a generalized brightness constancy framework. In addi...

We consider the problem of estimating functional derivatives and gradients in the framework of a functional regression setting where one observes functional predictors and scalar responses. Derivatives are then defined as functional directional derivatives which indicate how changes in the predictor function in a specified functional direction are associated with corresponding changes in the sc...

first principles calculations were carried out for investigation the novel 7-hydroxycoumarinyl gallates derivatives in gas and liquid phases using density functional theory (dft) method. computational chemistry simulations were carried out to compare calculated quantum chemical parameters for gallates derivatives. all calculations were performed using dmol3 code which is based on dft. the doubl...

in the present study, some new bis-imidazole derivatives have been prepared through four-components condensation of 2,6-bis (4-aminophenyl)-4-p-tolylpyridine, benzaldehyde derivatives, benzil and ammonium acetate in presence of acetic acid. the present methodology offers several advantages such as good yields, simple procedure, milder conditions and the possibility of introducing a variety of s...

We investigate in this paper the numerical performances of quadratic functional quantization and their applications to Finance. We emphasize the rôle played by the so-called product quantizers and the Karhunen-Loève expansion of Gaussian processes. Numerical experiments are carried out on two classical pricing problems: Asian options in a Black-Scholes model and vanilla options in a stochastic ...

We introduce a new model of linear regression for random functional inputs taking into account the first order derivative of the data. We propose an estimation method which comes down to solving a special linear inverse problem. Our procedure tackles the problem through a double and synchronized penalization. An asymptotic expansion of the mean square prevision error is given. The model and the...

This tutorial on functional derivatives focuses on Fréchet derivatives, a subtopic of functional analysis and of the calculus of variations. The reader is assumed to have experience with real analysis. Definitions and properties are discussed, and examples with functional Bregman divergence illustrate how to work with the Fréchet derivative. 1 Functional Derivatives Generalize the Vector Gradie...

We have investigated photosensitizing properties for porphrazine and eleven of its related derivatives based on time-dependent density functional theory (TD-DFT) calculations. The modles have been divided into two categories based on the existence of CN functional group in one category but not in the other one. The other functional groups include H, CH3, F, CF3, C6H5, and C6F5 counterparts. The...

The CoI2(PPh3)2/Zn system effectively catalyzes the [2 + 2 + 2] ene-diyne cycloaddition of 1,6-heptadiynes with allenes in a highly regio- and chemoselective fashion to yield substituted benzene derivatives in good to excellent yields.