Contextual analysis framework for bursty dynamics

Jo, Hang-Hyun; Pan, Raj Kumar; Perotti, Juan Ignacio; Kaski, Kimmo

doi:10.1103/physreve.87.062131

Cited by 21 publications

(20 citation statements)

References 30 publications

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“…where F n denotes the probability of making one τ (i j) as a sum of n τ (i) s, and τ 0 is the lower bound of interevent times τ (i) . By solving this equation, the scaling relation between α , α, and η is obtained [130]:…”

Section: Bursty Patterns In Egocentric Networkmentioning

confidence: 99%

Bursty Human Dynamics

Karsai¹,

Jo²,

Kaski³

2018

SpringerBriefs in Complexity

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133

160

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Springer Complexity is an interdisciplinary program publishing the best research and academic-level teaching on both fundamental and applied aspects of complex systems-cutting across all traditional disciplines of the natural and life sciences, engineering, economics, medicine, neuroscience, social and computer science.Complex Systems are systems that comprise many interacting parts with the ability to generate a new quality of macroscopic collective behavior the manifestations of which are the spontaneous formation of distinctive temporal, spatial or functional structures. Models of such systems can be successfully mapped onto quite diverse "real-life" situations like the climate, the coherent emission of light from lasers, chemical reaction-diffusion systems, biological cellular networks, the dynamics of stock markets and of the internet, earthquake statistics and prediction, freeway traffic, the human brain, or the formation of opinions in social systems, to name just some of the popular applications.Although their scope and methodologies overlap somewhat, one can distinguish the following main concepts and tools: self-organization, nonlinear dynamics, synergetics, turbulence, dynamical systems, catastrophes, instabilities, stochastic processes, chaos, graphs and networks, cellular automata, adaptive systems, genetic algorithms and computational intelligence.The three major book publication platforms of the Springer Complexity program are the monograph series "Understanding Complex Systems" focusing on the various applications of complexity, the "Springer Series in Synergetics", which is devoted to the quantitative theoretical and methodological foundations, and the "SpringerBriefs in Complexity" which are concise and topical working reports, case-studies, surveys, essays and lecture notes of relevance to the field. In addition to the books in these two core series, the program also incorporates individual titles ranging from textbooks to major reference works. This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any erro...

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Section: Bursty Patterns In Egocentric Networkmentioning

confidence: 99%

Bursty Human Dynamics

Karsai¹,

Jo²,

Kaski³

2018

SpringerBriefs in Complexity

Self Cite

133

160

View full text Add to dashboard Cite

show abstract

“…In addition, our analytically tractable model can be extended to incorporate another kind of information called context, e.g., as studied in terms of contextual bursts [32].…”

Section: Discussionmentioning

confidence: 99%

Measuring burstiness for finite event sequences

Kim

2016

Phys. Rev. E

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Characterizing inhomogeneous temporal patterns in natural and social phenomena is important to understand underlying mechanisms behind such complex systems, hence even to predict and control them. Temporal inhomogeneities in event sequences have been described in terms of bursts that are rapidly occurring events in short time periods alternating with long inactive periods. The bursts can be quantified by a simple measure, called burstiness parameter, which was introduced by Goh and Barabási [EPL 81, 48002 (2008)]. The burstiness parameter has been widely used due to its simplicity, which however turns out to be strongly affected by the finite number of events in the time series. As the finite-size effects on burstiness parameter have been largely ignored, we analytically investigate the finite-size effects of the burstiness parameter. Then we suggest an alternative definition of burstiness that is free from finite-size effects and yet simple. Using our alternative burstiness measure, one can distinguish the finite-size effects from the intrinsic bursty properties in the time series. We also demonstrate the advantages of our burstiness measure by analyzing empirical datasets.

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“…Using the language of social networks (what we are interested in here), they propose that a person can be in different types of relationships, like kinship, collaboration, friendship, etc. Moreover, people are switching their social contexts and communication channels depending on the occasions, and the social network should strongly depend on the context [23,24]. To handle these aspects, it is necessary to represent the social networks as a multilayer or multiplex network [25][26][27], where each layer corresponds to a different type of relationship.…”

Section: Introductionmentioning

confidence: 99%

Multilayer weighted social network model

Murase

Török

et al. 2014

Phys. Rev. E

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Recent empirical studies using large-scale data sets have validated the Granovetter hypothesis on the structure of the society in that there are strongly wired communities connected by weak ties. However, as interaction between individuals takes place in diverse contexts, these communities turn out to be overlapping. This implies that the society has a multilayered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when merging such WSN models, a sufficient amount of interlayer correlation is needed to maintain the relationship between topology and link weights, while these correlations destroy the enhancement in the community overlap due to multiple layers. To resolve this, we devise a geographic multilayer WSN model, where the indirect interlayer correlations due to the geographic constraints of individuals enhance the overlaps between the communities and, at the same time, the Granovetterian structure is preserved.

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Contextual analysis framework for bursty dynamics

Cited by 21 publications

References 30 publications

Bursty Human Dynamics

Bursty Human Dynamics

Measuring burstiness for finite event sequences

Multilayer weighted social network model

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