Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library Several theories of ...

How to design a robust gene network to tolerate more intrinsic kinetic parameter variations and to attenuate more extrinsic environmental noises to achieve a desired filtering level will be an important topic for systems biology and synthetic biology. At present, there is no good systematic design method to achieve robust gene network design. In this study, a gene network suffering from intrins...

We show that several interesting problems in Rw filtering, quadratic game theory, and risk sensitive control and estimation follow as special cases of the Krein-space linear estimation theory developed in [l]. We show that a11 these problems can be cast into the problem of calculating the stationary point of certain second-order forms, and that by considering the appropriate state space models ...

in many autonomous mobile applications, robots must be capable of analyzing motion of moving objects in their environment. duringmovement of robot the quality of images is affected by quakes of camera which cause high errors in image processing outputs. in thispaper, we propose a novel method to effectively overcome this problem using neural networks and kalman filtering theory. thistechnique u...

markowitz, in his portfolio selection theory, stated that investors select their portfolios according to two criteria of risk and return. accordingly, he presented his mathematical model. one of the criticisms of this model is that while investors, practically, consider different criteria in forming their portfolios, it only considers the return mean and return standard deviation. liquidity is ...

Having recently shown that the LMS adaptive filtering technique can be viewed as an iterative linear equation solver applied to a time varying linear equation set directly related to the Wiener-Hopf equation, we address in this paper the question if a larger class of adaptive filtering algorithms can be formulated within the framework of the theory of iterative linear equation solvers. We show ...

A general linear theory is presented which describes the extension of the convolutional method to nonstationary processes. This theory can apply any linear, nonstationary filter, with arbitrary time and frequency variation, in the time, Fourier, or mixed (time-frequency) domains. The filter application equations and the expressions to move the filter between domains are all ordinary Fourier tra...

Collaborative filtering (CF) is the most classical and widely used recommendation algorithm, which mainly to predict user preferences by mining user’s historical data. CF algorithms can be divided into two main categories: user-based item-based CF, recommend items based on rating information from similar profiles (user-based) or similarity between (item-based). However, since are not static, it...