This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field u is determined by the active scalar θ through RΛ−1P (Λ)θ where R denotes a Riesz transform, Λ = (−∆) and P (Λ) represents a family of Fourier multiplier operators. The 2D Navier-Stokes vorticity equations correspond to the sp...

We illustrate the need to use higher-order (specifically sixth-order) expansions in order to properly determine the asymptotic distribution of a standard artificial neural network test for neglected nonlinearity. The test statistic is a quasi-likelihood ratio (QLR) statistic designed to test whether the mean square prediction error improves by including an additional hidden unit with an activat...

A procedure is developed to test the null hypothesis of conditional homoskedasticity in the context of GARCH models. The approach is based on the quasi-likelihood function, leaving the true distribution of model disturbances completely unspecified. The presence of possible nuisance parameters in the testing problem is dealt with by using a pivotal bound and Monte Carlo resampling techniques to ...

Testing the correct model specification hypothesis for artificial neural network (ANN) models of the conditional mean is not standard. The traditional Wald, Lagrange multiplier, and quasi-likelihood ratio statistics weakly converge to functions of Gaussian processes, rather than to convenient chi-squared distributions. Also, their large sample null distributions are problem dependent, limiting ...

In this paper, we show that for a large class of optimization problems, the Lagrange multiplier rule can be derived from the so-called approximate multiplier rule. In establishing the link between the approximate and the exact multiplier rule we first derive an approximate multiplier rule for a very general class of optimization problems using the approximate sum rule and the chain rule. We als...

In digital image processing applications the quality of image depend on the Multipliers. Existing multipliers introduce errors in the output which will require more time, hence error free high speed multipliers has to be designed to overcome this problem. This paper presents a FPGA based iterative Mitchell Algorithm based multiplier for image filters by introducing error correction term in Kara...

We study a relative optimization framework for quasi-maximum likelihood blind source separation and relative Newton method as its particular instance. The structure of the Hessian allows its fast approximate inversion. In the second part we present Smoothing Method of Multipliers (SMOM) for minimization of sum of pairwise maxima of smooth functions, in particular sum of absolute value terms. In...

We propose a pipelined parallel multiplier in phase-mode logic. The multiplier can be composed of combinations of gates which are the basic devices ofthe phasemode logic. Experimental operations of the ICF gate and the Adder cell for the multiplier are reported. The proposed multiplier has a Wallace-tree structure comprising trees of carry save adders for the addition of partial products. This ...

Multiplier is one of the major arithmetic operations carried out in DSP applications. This paper presents a modified Booth multiplier based on adiabatic logic. It is composed of Booth encoder, multiplier containing partial product generators and 1-bit (half and full) adders and final adder. Booth multiplication allows for smaller, faster multiplication circuits through encoding the signed numbe...

This study examines the multiplier effects of the grain subsidy program in China, which is a large food self-sufficiency project that is implemented as a cash transfer program. Income multiplier effects have not been examined in the evaluation of the grain subsidy program although increasing the income of farmers is the original goal of this project. A large number of household-level observatio...