The effectiveness of the logic mining approach is strongly correlated to quality induced logical representation that represent behaviour data. Specifically, optimum indicates capability in generalizing real datasets different variants and dimensions. main issues with extracted by standard techniques are lack interpretability weakness terms structural arrangement 2 Satisfiability causing lower a...

By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...

Various indicators of observed-theoretical spectrum matches were compared and the resulting statistical significance was characterized using permutation resampling. Novel decoy databases built by resampling the terminal positions of peptide sequences were evaluated to identify the conditions for accurate computation of peptide match significance levels. The methodology was tested on real and ma...

In this paper we discuss the example of APN permutation introduced in the paper “On the Generalized Linear Equivalence of Functions over Finite Fields” [1], presented at Asiacrypt 2004. We show that, although the method used to derive the function is correct, the permutation given in [1] is classically linearly equivalent to a power monomial. We therefore use the same method here to generate ot...

Interaction terms from statistical tests are often used to make inferences about biological processes. For interaction terms to be biologically meaningful, it is critical that the statistical method used tests a model that corresponds to a realistic null hypothesis. A commonly used data analysis method, the analysis of variance F-test (ANOVA), is limited when examining interactions because ther...

The value of a developed prediction model depends on its performance outside the development sample. The key is therefore to externally validate the model on a different but related independent data. In this study, we propose a permutation method to assess heterogeneity in external validation for risk prediction models. The permutation p value measures the extent of homology between development...

As communication is greatly expanding and the number of users continues to increase, the number of attacks on the Internet is also increasing. All this places more pressure on packet classifiers and filters to provide more filtering and greater security at higher performance levels without causing a bottleneck. Organising the rules in access lists according to their class is a way of improving ...

We develop the technique of reduced word manipulation to give a range of results concerning reduced words and permutations more generally. We prove a broad connection between pattern containment and reduced words, which specializes to our previous work for vexillary permutations. We also analyze general tilings of Elnitsky’s polygon, and demonstrate that these are closely related to the pattern...

The enumeration of permutation classes has been accomplished with a variety of techniques. One wide-reaching method is that of enumeration schemes, introduced by Zeilberger and extended by Vatter. In this paper we further extend the method of enumeration schemes to words avoiding permutation patterns. The process of finding enumeration schemes is programmable and allows for the automatic enumer...