The main goal of our paper is to study the regularization problems which occur in predictive control of systems with severely ill-posed inverse model. We propose a new formulation of predictive control where the future controls are obtained as a solution of certain ill-posed inverse problem. This formulation leads to a possibility of closed loop on-line control of complex systems with ill-posed...

Acetaminophen is one of the most important antipyretic and analgesic drugs. It has an excellent efficacy when it's used in therapeutic doses, but in unsafe doses it can be resulted in hepatotoxicity and permanent liver failure. Due to disparities that have been reported between the actual and stated concentration of acetaminophen tablets, we aimed to compare the actual quantity of 8 Iranian gen...

Standard video compression techniques apply motion-compensated prediction combined with transform coding of the prediction error. In the context of prediction with fractional-pel motion vector resolution it was shown, that aliasing components contained in an image signal are limiting the prediction accuracy obtained by motion compensation. In order to consider aliasing, quantisation and motion ...

Abstract We study Tikhonov regularization for possibly nonlinear inverse problems with weighted $$\ell ^1$$ ℓ 1 -penalization. The forward operator, mapping from a sequence space to an arbitrary Banach space, typically $$L^2$$ L 2 -spac...

This paper proposes an iterative computation of sparse representations of functions defined on Rd , which exploits a formulation of the sparsification problem equivalent to Support Vector Machine and based on Tikhonov regularization. Through this equivalent formulation, the sparsification reduces to an approximation problem with a Tikhonov regularizer, which selects the null coefficients of the...

ÐWe present a method for the exact computation of the moments of a region bounded by a curve represented by a scaling function or wavelet basis. Using Green's Theorem, we show that the computation of the area moments is equivalent to applying a suitable multidimensional filter on the coefficients of the curve and thereafter computing a scalar product. The multidimensional filter coefficients ar...

This paper presents a general approach for obtaining optimal filters as well as filter sequences. A filter is termed optimal when it minimizes a chosen distance measure with respect to an ideal filter. The method allows specification of the metric via simultaneous weighting functions in multiple domains, e.g. the spatiotemporal space and the Fourier space. Metric classes suitable for optimizati...

In this article, simultaneous identification of the timewise lowest and source terms in a two-dimensional (2D) parabolic equation from knowledge additional measurements is studied. Existence uniqueness solution proved by means contraction mapping on small time interval. Since problem yet ill- posed (very errors time-average temperature input may cause large output potential functions), we need ...