منابع مشابه
Topology and Data
An important feature of modern science and engineering is that data of various kinds is being produced at an unprecedented rate. This is so in part because of new experimental methods, and in part because of the increase in the availability of high powered computing technology. It is also clear that the nature of the data we are obtaining is significantly different. For example, it is now often...
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The aim of this paper is to describe the behaviour of packet traffic flowing on realistic networks as load is varied. The use of intermittency in iterated maps to provide various relevant statistical types of binary data will be described. The dynamical modelling of packet traffic using Erramilli intermittency maps is introduced together with the dynamics of Transmission Control Protocols. Regu...
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A broad range of mathematical techniques, ranging from statistics to fuzzy logic, have been used to great advantage in intelligent data analysis. Topology – the fundamental mathematics of shape – has to date been conspicuously absent from this repertoire. This paper shows how topology, properly reformulated for a finite-precision world, can be useful in intelligent data analysis tasks.
متن کاملTopology of Musical Data
Abstract Techniques for discovering topological structures in large data sets are now becoming practical. This paper argues why the musical realm is a particularly promising arena in which to expect to find nontrivial topological features. The analysis is able to recover three important topological features in music: the circle of notes, the circle of fifths, and the rhythmic repetition of time...
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Constraint-based routing gradually becomes an essential enabling mechanism for a variety of emerging network services such as virtual private networking and QoS support. A number of recent works have recognized its signiicance and investigated many aspects of the operation of constraint based routing and in particular its variant that is concerned with determining paths for requests with specii...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2009
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-09-01249-x