For this reason, a statistical complexity measure should not only satisfy the boundary condition of order-random but also obviously shows described structure. Therefore, we alter the disequilibrium term by the information of time irreversibility (information of nonlinear sequence dynamics) and present a...
A generalized Statistical Complexity Measure (SCM) is a functional that characterizes the probability distribution P associated to the time series generated by a given dynamical system. It quantifies not only randomness but also the presence of correlational structures. We review here several ...
2) k-error intensive statistical complexity k错增强统计复杂度 1. Based on this property,the definition of k-error intensive statistical complexity is presented and two basic properties of it are proved in this paper,which can be used to measure the stability of complexity of chaos-based ...
We find that Wootters' objections to the use of Euclidean distances for probability spaces become quite relevant to this endeavor. Replacing the Euclidean distance by the Wootters' one noticeably improves the behavior of the associated statistical complexity measure, as evidenced by its application to ...
In this chapter, we show that the time complexity measure presented in Chapter 8 (Equation 8.8) and the approximate total assembly time of a product, as derived from Boothroyd and Dewhurst' DFA methodology [1], are highly correlated over a wide diversity of experiments. The chapter also shows...
We also added Hurst exponent estimate to the software to measure dependencies in DNA sequences. By applying these tools to various functional genomic regions, we demonstrate that the complexity of introns and regulatory regions is lower than that of coding regions, whilst Hurst exponent is larger....
1.3. Distances and Statistical Complexity Measure A definition of Statistical Complexity Measure (SCM) can not be made in terms of just “disorder” or “information”. A proper SCM needs to use some distance 𝒟D of the given P to the uniform distribution 𝑃𝑒Pe of the accessible states...
Statistical complexity is a measure of complexity of discrete-time stationary stochastic processes, which has many applications. We investigate its more properties as a non-linear function of the space of processes and show its close relation to the Knight鈥檚 prediction process. We prove lower ...
SpainAbstractThe Fisher-Shannon information and a statistical measure of complexity are calcu-lated in the position and momentum spaces for the wave functions of the H-atom.For each level of energy, it is found that these two indicators take their minimumvalues on the orbitals that correspond to...
This methodology is similar, though it simply requires the single calculation of any uncertainty measure discussed from the vector of probabilities at the output during testing. The metric used to quantify uncertainty, and the cut-off values used, could certainly vary. A variety of other entropy ...