In data mining applications, highly sized contexts are handled what usually results in a considerably large set of frequent itemsets, even for high values of the minimum support threshold. An interesting solution consists then in applying an appropriate closure operator that structures frequent itemsets into equivalence classes, such that two itemsets belong to the same class if they appear in ...

This article uses the Internet as a starting point to illustrate universal aspects of complex systems throughout technology and biology. Complexity in most systems is driven by the need for robustness to uncertainty in their environments and component parts far more than by basic functionality. Protocols organize highly structured and complex modular hierarchies to achieve robustness, but also ...

Proving logic formulas is a problem of immense importance both theoretically and practically. On the one hand, it is believed to be intractable in general, and deciding whether this is so is one of the famous million dollar Clay Millennium Problems [20], namely the P vs. NP problem originating from the ground-breaking work of Cook [12]. On the other hand, today so-called SAT solvers based on co...

The primary goal of this paper is to provide a rigorous theoretical justification of Cartan’s method of moving frames for arbitrary finite-dimensional Lie group actions on manifolds. The general theorems are based a new regularized version of the moving frame algorithm, which is of both theoretical and practical use. Applications include a new approach to the construction and classification of ...

In order to outline the conceptual landscape that frames discussions of collective memory, three oppositions are proposed: collective memory versus collective remembering; history versus collective memory; and individual memory versus collective remembering. From this perspective collective remembering is viewed as an active process that often involves contention and contestation among people r...

This paper presents a theory of dynamic slicing, which reveals that the relationship between static and dynamic slicing is more subtle than previously thought. The definitions of dynamic slicing are formulated in terms of the projection theory of slicing. This shows that existing forms of dynamic slicing contain three orthogonal dimensions in their slicing criteria and allows for a lattice-theo...

ence exists between parametric and nonparametric statistical tests. Parametric tests are only valid if the data satisfy certain assumptions. If these assumptions hold, they will, however, typically give more accurate results. The analysis of statistical learning theory has very much the flavor of a nonparametric statistical test. Almost no The scientific method aims to derive mathematical model...

We develop the theory of biphasic somatic growth in fish using models based on the distinction between pre- and post-maturation growth and an explicit description of energy allocation within a growing season. We define a 'generic biphasic' (GB) model that assumes post-maturation growth has a von Bertalanffy (vB) form. For this model we derive an explicit expression for the gonad weight/somatic ...

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