Book reviews: ''Filtering theory with applications to fault detection, isolation, and estimation'' by Ali Saberi, Anton A. Stoorvogel and Peddapullaiah Sannuti
Statistical inference for fault detection: a complete algorithm based on kernel estimators
This article presents a new concept for a statistical fault detection system, including the detection, diagnosis, and prediction of faults. Theoretical material has been collected to provide a complete algorithm making possible the design of a usable system for statistical inference on the basis of the current value of a symptom vector. The use of elements of artificial intelligence enables self-correction and adaptation to changing conditions. The mathematical apparatus is founded on the methodology...
An algorithm for Bayes parameter identification with quadratic asymmetrical loss function
On the application of statistical kernel estimators for the demand-based design of a wireless data transmission system
Bayes sharpening of imprecise information
A complete algorithm is presented for the sharpening of imprecise information, based on the methodology of kernel estimators and the Bayes decision rule, including conditioning factors. The use of the Bayes rule with a nonsymmetrical loss function enables the inclusion of different results of an under- and overestimation of a sharp value (real number), as well as minimizing potential losses. A conditional approach allows to obtain a more precise result thanks to using information entered as the...
A complete gradient clustering algorithm formed with kernel estimators
The aim of this paper is to provide a gradient clustering algorithm in its complete form, suitable for direct use without requiring a deeper statistical knowledge. The values of all parameters are effectively calculated using optimizing procedures. Moreover, an illustrative analysis of the meaning of particular parameters is shown, followed by the effects resulting from possible modifications with respect to their primarily assigned optimal values. The proposed algorithm does not demand strict assumptions...
Book review: "Medical Image Understanding Technology" by R. Tadeusiewicz, M.R. Ogiela
Euler-Poincaré reduction of externally forced rigid body motion
An algorithm for reducing the dimension and size of a sample for data exploration procedures
The paper deals with the issue of reducing the dimension and size of a data set (random sample) for exploratory data analysis procedures. The concept of the algorithm investigated here is based on linear transformation to a space of a smaller dimension, while retaining as much as possible the same distances between particular elements. Elements of the transformation matrix are computed using the metaheuristics of parallel fast simulated annealing. Moreover, elimination of or a decrease in importance...
Hard and soft sub-time-optimal controllers for a mechanical system with uncertain mass
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