Mathematical foundation of a new complexity measure
β Scribed by Shen En-hua; Cai Zhi-jie; Gu Fan-ji
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 453 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0253-4827
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π SIMILAR VOLUMES
A statistical measure of complexity utilising the concept of entropy or information is proposed. Our way in this study is to use a nonextensive entropy instead of an extensive (additive) Shannon entropy in the deΓΏnition, but can be characterised as a di erence between the qth-order RΓ enyi entropy a
Let 7 and 2 be nonempty alphabets with 7 finite. Let f be a function mapping 7\* to 2. We explore the notion of automaticity, which attempts to model how ``close'' f is to a finite-state function. Formally, the automaticity of f is a function A f (n) which counts the minimum number of states in any