Models of random graphs and their applications. In Stochastic processes: modelling and simulation - Cannings, Penman - 2003 () Citation Context ...m graph which are the focus of attention. These models with correlation structure were introduced in[10] and the motivation for the construction and...
This monograph sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. As an alternative to classical random graph models, these geometric graphs are relevant to the modelling of real-...
fixed neighborhood size. This feature hinders the ability to analyze whether the neighborhoods are reproduced at different data scales and does not highlight the local and global properties of the mapping. For these reasons, some
This monograph sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. As an alternative to classical random graph models, these geometric graphs are relevant to the modelling of real-...
Let us introduce a random mechanism of switching the graphs over time. Having fixed a probability space , we introduce a Markov chain ) with state space (which defines the environment where the evolution takes place) and a sequence of increasing random times , , such that the Cauchy problem ...
Random graph generators are necessary tools for many network science applications. For example, the evaluation of graph analysis algorithms requires methods for generating realistic synthetic graphs. Typically random graph generators are generating graph
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972. The Laplace distribution and generalizations By Samuel Kotz, Tomasz J. Kozubowski, Krzysztof Podgorski, Birkhauser, 2001. ...
in the Supplementary Information we examine the behaviour of the previously introduced alternative one dimensional hierarchy measures from this respect. The results indicate that none of the other hierarchy measures in the study has this property, since they either treat all acyclic graphs as already ...
Random forest models are also more tolerant to outliers and noise. When predicting soil moisture, the main idea behind the RF model is to divide the independent feature space into several regression trees, and to construct a forest using two-thirds of the sample set. The remaining one-third ...
However, to do so, the model requires that there be a constant fraction of nodes that have only indegree and no outdegree and visa versa. While this may be appropriate for call graphs (e.g., customer service numbers) it remains to be seen whether it models the Web. Thus, while the ...