Algorithms and Dynamical Models for Communities and by Vincent Traag

By Vincent Traag

A chronic challenge while discovering groups in huge complicated networks is the so-called solution restrict. This thesis addresses this factor meticulously, and introduces the $64000 suggestion of resolution-limit-free. Remarkably, in basic terms few equipment own this fascinating estate, and this thesis places ahead one such technique. furthermore, it discusses tips to check even if groups can take place by accident or no longer. One element that's usually neglected during this box is taken care of right here: hyperlinks can be detrimental, as in struggle or clash. along with find out how to contain this in neighborhood detection, it additionally examines the dynamics of such destructive hyperlinks, encouraged by way of a sociological idea referred to as social stability. This has exciting connections to the evolution of cooperation, suggesting that for cooperation to emerge, teams frequently break up in opposing factions. as well as those theoretical contributions, the thesis additionally comprises an empirical research of the impact of buying and selling groups on overseas clash, and the way groups shape in a quotation community with confident and detrimental hyperlinks.

Show description

Read Online or Download Algorithms and Dynamical Models for Communities and Reputation in Social Networks (Springer Theses) PDF

Similar game theory books

An Introduction to Decision Theory (Cambridge Introductions to Philosophy)

This advent to determination thought bargains entire and obtainable discussions of decision-making below lack of knowledge and probability, the rules of application thought, the talk over subjective and target chance, Bayesianism, causal selection idea, online game thought, and social selection concept. No mathematical abilities are assumed, and all options and effects are defined in non-technical and intuitive in addition to extra formal methods.

Economic Evolution: An Inquiry into the Foundations of the New Institutional Economics (Economics as Social Theory)

The recent institutional economics deals some of the most intriguing learn agendas in economics this present day. but can it fairly clarify techniques of financial swap? monetary Evolution explores 3 of the most techniques in the new institutional economics:

* the hot concept of the firm,

* Nelson and Winter's evolutionary economics

* video game theoretic bills of spontaneous evolution.

Close research unearths that the methods range on such basic concerns because the which means of phrases like `institution' and `evolution'. even though, the ebook additionally uncovers evolutionary mechanisms that govern strategies of monetary swap in all of those approaches.

Reviews:

`I imagine it is a fantastic publication. the writer considers a variety of literatures, and discusses every one with sophistication and subtlety … I discovered much from what he needed to say. ' - Richard Nelson, Columbia University

'It is to Vromen's credits that he makes a tough topic accessible…A interesting book' -SRH Jones, enterprise heritage

Stochastic Calculus for Finance, 1st Edition

This publication focuses in particular at the key ends up in stochastic approaches that experience develop into crucial for finance practitioners to appreciate. The authors research the Wiener method and Itô integrals in a few element, with a spotlight on effects wanted for the Black-Scholes alternative pricing version. After constructing the necessary martingale homes of this technique, the development of the imperative and the Itô formulation (proved intimately) turn into the centrepiece, either for concept and functions, and to supply concrete examples of stochastic differential equations utilized in finance.

Extra info for Algorithms and Dynamical Models for Communities and Reputation in Social Networks (Springer Theses)

Example text

Schaeffer SE (2007) Graph clustering. Comput Sci Rev 1(1):27–64. 2007. 001 47. Theodoridis S, Koutroumbas K (2006) Pattern recognition. Academic Press, New York. ISBN 9780080513614 48. Tibély G, Kertész J (2008) On the equivalence of the label propagation method of community detection and a Potts model approach. Phys A Stat Mech Appl 387(19–20):4982–4984. doi:10. 024 49. Traag VA, Van Dooren P, Nesterov Y (2011) Narrow scope for resolution-limit-free community detection. Phys Rev E 84(1):016114.

In other words, they use almost the same weights as RB, but then adapted for the added self-loops of strength γAFG . 13b) where δi j = δ(i, j) = 1 if i = j and zero otherwise. 2 Canonical Community Detection 19 pi j (γAFG ) = (ki + γAFG )(ki + γAFG ) . 15) ij which is simply Eq. 7) with self-loops added. The benefit of this method is that it leaves unchanged properties that depend on the eigenvectors or on the difference of the eigenvalues. e. In = diag(1, . . , 1). e. Av = λv), then also A v = Av + γAFG In v = (λ + γAFG )v so that v is an eigenvector of A and λ + γAFG an eigenvalue of A .

013 35. Newman M (2004) Fast algorithm for detecting community structure in networks. Phys Rev E 69(6). 066133 36. Newman M (2010) Networks: an introduction. Oxford University Press, Oxford. ISBN 0199206651 37. Newman M, Girvan M (2004) Finding and evaluating community structure in networks. Phys Rev E 69(2):026113. 026113 38. Newman MEJ (2006) Finding community structure in networks using the eigenvectors of matrices. Phys Rev E 74(3):036104+. 036104 39. Porter MA, Onnela JP, Mucha PJ (2009) Communities in networks.

Download PDF sample

Rated 4.33 of 5 – based on 38 votes