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Techniques from multi-objective optimization are incorporated into the stochastic multi-armed bandit (MAB) problem to improve performance when the rewards obtained from pulling an arm are random vectors instead of random variables. We call this problem the stochastic multi-objective MAB (or MOMAB) problem. In this paper, we study the analytical and empirical proprieties of MOMABs with the goal of...
The estimation of myocardial blood flow (MBF) by ammonia or dynamic PET typically relies on an empirically determined generalized Renkin-Crone equation to relate the kinetic parameter to MBF. Because the Renkin-Crone equation defines MBF as an implicit function of , the MBF variance cannot be determined using standard error propagation techniques. To overcome...
In target tracking scenarios when multiple sensor platforms are present, there is the possibility that sensor registration will occur. If the problem is not properly compensated for, the combined target tracks will have a greater error as translation and rotation errors will be incorporated into the solution. In fact, some of the errors may result in some target tracks not being properly associated...
Certain advantages of midpoint/radius notation for boxes are well known. Box notation, a concise midpoint/radius scheme employing a ‘box operator’, ϖ, significantly simplifies box calculations. The box math approach to interval analysis, emphasizing ‘image-centered’ representations and assessment of quality of approximation, demonstrates the power of mid-point/ radius methods. A prime example is the...
The paper discusses the problem of designing attribute sampling plans by means of closed-form approximate formulae. A methodology is developed to fully characterize the formulae, in terms of design error, i.e. difference between ??estimated?? and ??true?? parameters of the sampling plan for given requirements. The focus is on the quality control of isolated lots, but the proposed methodology is applicable...
“Input uncertainty” refers to the frequently unrecognized, and rarely quantified, impact of using simulation input distributions that are estimated or “fit” to a finite sample of real-world data. In this paper we present a relatively simple method for obtaining a quick assessment of the overall effect of input uncertainty on simulation output, and a somewhat more involved follow-up analysis that can...
This paper presents a similarity measure for interval type-2 fuzzy sets based on the intersection of the footprint of uncertainty. We also established the closed-form of the proposed similarity measures for Gaussian interval type-2 fuzzy sets with uncertain standard deviation. Numerical examples demonstrate the use of the similarity measures and the quality of the numerical scheme.
The rough entropy always reduce with the subdivision of knowledge particles when it is used to measure the uncertainty of rough sets, no matter what the knowledge particles come from positive domain, negative domain or boundary domain. so the method rough entropy can not reflect the relationship between uncertainty and knowledge particles well. To solve this problem, an improved method based on rough...
The polarisabilities and blackbody Stark shifts of transitions in 88Sr+ and 171Yb+ which are used as optical frequency standards are calculated. Where data is available, oscillator strengths derived from experimental lifetime measurements are used in place of theoretical values.
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