Comparing Bayesian and Frequentist Estimators of a Scalar Parameter

Author(s):  
Francisco J. Samaniego
Keyword(s):  
Stat ◽  
2019 ◽  
Vol 8 (1) ◽  
Author(s):  
Luigi Pace ◽  
Alessandra Salvan ◽  
Nicola Sartori

Author(s):  
Hidehiko Hayashi ◽  
Akinori Minazuki

This chapter presents an objective assessment method of image quality using visual evoked potentials (VEPs) to image engineer field based on multi-disciplinarily approach such as knowledge of neurobiology, image recognition theory, or computer vision. The multi-disciplinarily based objective assessment method applies Gaussian scale-space filtering in order to define a scalar parameter to depict blur image. In the experiment, visual stimuli are provided by the scalar parameter, and subjects are detected using VEPs. Their VEPs are recoded during observation of the checkerboard pattern reversal (PR) stimuli, and are analyzed with a latency of about Negative 145 msec (N145) component. The result of the experiment was that latency of N145 components were long about10-20 msec when parameters were large vale (more blur). This result shows one example of availableness for the multi-disciplinarily based objective assessment of image quality by integrating the pattern reversal visual evoked potential (PR-VEP) and the scale-space theory.


2015 ◽  
Vol 96 ◽  
pp. 85-89 ◽  
Author(s):  
J.B. Yang ◽  
Z.F. Zhang ◽  
Y.N. Osetsky ◽  
R.E. Stoller

2002 ◽  
Vol 12 (08) ◽  
pp. 1789-1812 ◽  
Author(s):  
SERGEJ ČELIKOVSKÝ ◽  
GUANRONG CHEN

This paper shows that a large class of systems, introduced in [Čelikovský & Vaněček, 1994; Vaněček & Čelikovský, 1996] as the so-called generalized Lorenz system, are state-equivalent to a special canonical form that covers a broader class of chaotic systems. This canonical form, called generalized Lorenz canonical form hereafter, generalizes the one introduced and analyzed in [Čelikovský & Vaněček, 1994; Vaněček & Čelikovský, 1996], and also covers the so-called Chen system, recently introduced in [Chen & Ueta, 1999; Ueta & Chen, 2000].Thus, this new generalized Lorenz canonical form contains as special cases the original Lorenz system, the generalized Lorenz system, and the Chen system, so that a comparison of the structures between two essential types of chaotic systems becomes possible. The most important property of the new canonical form is the parametrization that has precisely a single scalar parameter useful for chaos tuning, which has promising potential in future engineering chaos design. Some other closely related topics are also studied and discussed in the paper.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Eman T. Hamed ◽  
Rana Z. Al-Kawaz ◽  
Abbas Y. Al-Bayati

This article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter θkNew for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below using strong Wolfe conditions. Our numerical experiments show that the new proposed algorithms are more stable and economic as compared to some well-known standard CG methods.


1991 ◽  
Vol 113 (1) ◽  
pp. 58-61 ◽  
Author(s):  
K. Huseyin

Two alternative but equivalent stability criteria for linear conservative gyroscopic systems are presented. The development of the criteria is based on the concept of symmetrizability associated with general matrices, and the results are in terms of the matrices describing the dynamical system. Although the new criteria involves a scalar parameter, the restrictions associated with an earlier result are removed, and the scope of application is broadened. An illustrative example is presented.


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