In this paper, the authors consider the problem of computing a response curve for binary cellular automata, that is, the curve describing the dependence of the density of ones after many iterations of the rule on the initial density of ones. The authors demonstrate how this problem could be approached using rule 130 as an example. For this rule, preimage sets of finite strings exhibit recogniza...

We introduce a rule selection algorithm called ROCCER, which operates by selecting classification rules from a larger set of rules – for instance found by Apriori – using ROC analysis. Experimental comparison with rule induction algorithms shows that ROCCER tends to produce considerably smaller rule sets with compatible Area Under the ROC Curve (AUC) values. The individual rules that compose th...

In arid and semi-arid regions particularly vulnerable to climate change, optimizing the long-term operation of multi-purpose reservoirs is paramount. This study derived an optimum two-dimensional rule curve jointly operate parallel Mosul Dukan, Northern Iraq. A hybridized optimization technique combining conventional dynamic programming with shuffled complex evolution algorithm (SCE-UA) was dev...

In this paper, we propose an adaptive algorithm for bipartite ranking and prove its statistical performance in a stronger sense than the AUC criterion. Our procedure builds on the RankOver algorithm proposed in (Clémençon & Vayatis, 2008a). The algorithm outputs a piecewise constant scoring rule which is obtained by overlaying a finite collection of classifiers. Here, each of these classifiers ...

(3) The error is normally of the order of 1 percent a t the higher levels (5,000-20,000 feet) of an average curve. (4) When applied to the upper levels of a very stable curve (e. g. one featuring an extensive inversion), the rule leads to an overestimation of the height which may mount , to 4 percent or more in an extreme case. The formula i s least accurate when applied to the upper levels of ...

Fuhrer and Moore (1995) show that combining a simple monetary policy reaction function, which they attribute to Wicksell, with a backwardlooking Phillips Curve, generates explosive behaviour. The same feature is evident if the textbook LM Curve is used instead. Whilst Fuhrer and Moore propose a resolution based on assumed forward-looking behaviour in the real economy, this resolution does not a...

The main objective of the study is to compare the Newton-Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of income using polynomial function with degree 5. Comparing the Gini coefficients of income computed from the Polynomial function with degree 5 for the Trapezium, Simpson 1/3 and Simpson 3/8 met...