Advancing Shannon Entropy for Measuring Diversity in Systems
المؤلفون المشاركون
Rajaram, R.
Castellani, B.
Wilson, A. N.
المصدر
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-05-24
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
From economic inequality and species diversity to power laws and the analysis of multiple trends and trajectories, diversity within systems is a major issue for science.
Part of the challenge is measuring it.
Shannon entropy H has been used to rethink diversity within probability distributions, based on the notion of information.
However, there are two major limitations to Shannon’s approach.
First, it cannot be used to compare diversity distributions that have different levels of scale.
Second, it cannot be used to compare parts of diversity distributions to the whole.
To address these limitations, we introduce a renormalization of probability distributions based on the notion of case-based entropy Cc as a function of the cumulative probability c.
Given a probability density p(x), Cc measures the diversity of the distribution up to a cumulative probability of c, by computing the length or support of an equivalent uniform distribution that has the same Shannon information as the conditional distribution of p^c(x) up to cumulative probability c.
We illustrate the utility of our approach by renormalizing and comparing three well-known energy distributions in physics, namely, the Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac distributions for energy of subatomic particles.
The comparison shows that Cc is a vast improvement over H as it provides a scale-free comparison of these diversity distributions and also allows for a comparison between parts of these diversity distributions.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Rajaram, R.& Castellani, B.& Wilson, A. N.. 2017. Advancing Shannon Entropy for Measuring Diversity in Systems. Complexity،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143571
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Rajaram, R.…[et al.]. Advancing Shannon Entropy for Measuring Diversity in Systems. Complexity No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1143571
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Rajaram, R.& Castellani, B.& Wilson, A. N.. Advancing Shannon Entropy for Measuring Diversity in Systems. Complexity. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143571
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1143571
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر