کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1776248 1523606 2016 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The minimal database size and resolution of the locally linear algorithm of direct dependence recovery in helio-biology studies
ترجمه فارسی عنوان
اندازه حداقلی پایگاه داده و وضوح الگوریتم خطی محلی از بازیابی وابستگی مستقیم در مطالعات زیست شناسی هلیو
کلمات کلیدی
رابطه عملکرد چندبعدي؛ سر و صدا؛ کاهش سر و صدا؛ تقریبی محلی؛ وضوح؛ زیست شناسی هلیو
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات فیزیک زمین (ژئو فیزیک)
چکیده انگلیسی


• Mathematically rigorous formulation of algorithm's spatial resolution.
• Reliability of relief details is formulated through noise attenuation.
• Size of minimum required database for direct dependence recovery task is obtained.

Several problems can emerge in front of investigators, who take a detailed restoration of dependency. The key of them – is a mathematically rigorous formulation of the desired degree of details. Second in importance is the reliability problem of reproduction of these details. And the third problem is the evaluation of data collection efforts that will ensure the desired depending on the required details and results reliability. In this work the strict concept of spatial resolution of the locally linear algorithm of direct dependence recovery (DDR) is formulated mathematically. Such approach implies approximation of the system reaction (dependent variable) in the case of the assigned value of factors which only utilizes the data (precedents) from a spherical cluster surrounding those assigned value of factors. The concept of reliability of details is formalized through the noise attenuation coefficient. We derive a relationship between the size of the minimum required database, spatial resolution of the recovery algorithm, the number of influencing factors and the noise attenuation coefficient. Analytical findings are verified by numerical experiments. Maximum number of factors, functional dependence on which can be recovered via the database figuring in various helio-biological works published by many authors for several 10 of years, is estimated. It is shown that the minimum required size of the database depends on the number of influencing factors (dimension of space of the independent variable) as a power law. The analysis conducted in this study reveals that the majority of the dimensional potentials of helio-biological databases are significantly higher that dimensions, which are appear in the approaches of authors of these works.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Atmospheric and Solar-Terrestrial Physics - Volume 140, March 2016, Pages 114–119
نویسندگان
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