DYNAMICS ON AND OF COMPLEX NETWORKS VI

A Satellite Workshop of European Conference on Complex Systems, 2013

Barcelona, Spain, September 18, 2013.



Marc Barthélemy

“Evolution of road networks”

The road network is a crucial component of urban systems: its growth and evolution reflect how a city changes in time. This network is both embedded in space and evolves in time, and we thus have to face the difficulty of measuring and characterizing its evolution, and to extract useful information. I will illustrate in this talk these various problems and present some recent results on empirical case studies. If time allows, I will also mention various directions for modeling these systems.

Vincent Blondel

“The privacy bounds of human mobility”

We study fifteen months of human mobility data for one and a half million individuals and find that human mobility traces are highly unique. In fact, in a dataset where the location of an individual is specified hourly, and with a spatial resolution equal to that given by the carrier's antennas, four spatio-temporal points are enough to uniquely identify 95% of the individuals. We coarsen the data spatially and temporally to find a formula for the uniqueness of human mobility traces given their resolution and the available outside information. This formula shows that the uniqueness of mobility traces decays approximately as the 1/10 power of their resolution. Hence, even coarse datasets provide little anonymity. These findings represent fundamental constraints to an individual's privacy and have important implications for the design of frameworks and institutions dedicated to protect the privacy of ind
ividuals.

Renaud Lambiotte

“Decentralized Routing on Spatial Networks with Stochastic Edge Weights”

We investigate algorithms to find short paths in spatial networks with stochastic edge weights. Our formulation of the problem of finding short paths differs from traditional formulations because we specifically do not make two of the usual simplifying assumptions: (1) we allow edge weights to be stochastic rather than deterministic; and (2) we do not assume that global knowledge of a network is available. We develop a decentralized routing algorithm that provides en route guidance for travelers on a spatial network with stochastic edge weights without the need to rely on global knowledge about the network. To guide a traveler, our algorithm uses an estimation function that evaluates cumulative arrival probability distributions based on distances between pairs of nodes. The estimation function carries a notion of proximity between nodes and thereby enables routing without global knowledge. In testing our decentralized algorithm, we define a criterion that allows one to discriminate among arrival probability distributions, and we test our algorithm and this criterion using both synthetic and real networks.

 
Camille Roth

“Reputation and activity dynamics within topical communities”
 
We analyze the structure and processes of link creation and reputation building in a sample of Internet communities.  Our approach uses a corpus of around 9,000 'active' French websites and blogs which have been manually labeled as belonging to a specific topical territory, such as "cooking", "crafts", or "politics".  Building upon dynamic data spanning over a period of several months, we are then able to exhibit characteristic trajectories of engagement into each territory and, more broadly, reputation building on the web.  Beyond the description of peculiar determinants of link creation, we propose a typology and map of the various structural positions that these websites may hold within their territory.


Monojit Choudhury


“Semiotic Dynamics of the Web Search Queries: A window to the emergence of linguistic structure”

The structure of Web search queries is evolving through a self-organizing process; millions of Web users query the search engines for their information needs and modify the queries based on search engine feedback, and on the other hand, the search engines exploit the querying behavior of the users to serve better results. This bidirectional adaptive process has led to increase in length and complexity of the Web search queries. In this talk, I will discuss some recent results, where we show that the increase in length of the queries is indeed due to emergence of a unique syntactic structure; queries are not merely a bag-of-words anymore. I will also present a comparative study of complex network modeling of queries and Natural language text, which shows that queries have many non-trivial structural properties that are hard to replicate through simple stochastic query generation models. These properties are akin to those of Natural languages, but also differ from natural languages in certain important ways. These and many other such studies point to the fact that a unique syntactic structure is evolving for Web search queries, which is perhaps similar to the structure of the how human protolanguage – a conjectured linguistic state that predates the current natural languages during the history of human evolution.

Luis E. C. Rocha


"Flow Motifs Reveal Limitations of the Static Framework to Represent Human Interactions"

Networks are many times used as underlying structures to represent interactions where infections, information, or other quantities may spread. The standard approach is to aggregate all links into a static structure. However, several studies have shown that the time order in which the links are established may alter the dynamics of spreading. In this talk, I will introduce a method to study the variations in the flow between adjacent vertices when the temporal information is included. The flow between vertices is estimated by using a simulated random walk dynamics. Links are split into high- and low-flow such that the original undirected network is converted into a directed flow network. By quantifying the flow motifs of this new network, it is possible to identify that in some categories of networks, the local flow changes significantly when the time information is included. In particular, if the identity of the active vertices changes over time (e.g. communication in dating sites), the representativity of flow motifs is different in the static and temporal frameworks. On the other hand, in networks with regular contacts and persistent vertices (e.g. email communication), the representativity of flow motifs is similar in both frameworks. Moreover, the method reveals that 3- and 4-vertex cliques, containing all low-flow links, are more representative than those cliques containing all high-flow links. These results suggest that the local topology and temporal activity are insufficient to fully understand the flow between adjacent vertices. The structure of the clique alone does not completely characterize the potential of flow between the vertices.

Fabien Tarissan

“Real-world spreading phenomena: experiments on a large-scale P2P system”

Understanding the spread of information on complex networks is a key issue from a theoretical and applied perspective. Despite the effort in developing theoretical models for this phenomenon, gaging them with large-scale real-world data remains an important challenge due to the scarcity of open, extensive and detailed data. In this talk, we explain how traces of peer-to-peer file sharing may be used to this goal. We reconstruct the underlying social network of peers sharing content and perform simulations on it in order to assess the relevance of the standard SIR model to mimic key properties of real spreading cascades. The results show that it is insufficient to mimic real spreading cascades, thus raising an alert against the careless, widespread use of this model. However, we also show that using the available temporal data in the trace and integrating it into an heterogeneous version for the spreading model enables to improve its relevance in this context.

János Kertész

“Temporal motifs in mobile communication networks”

with Lauri Kovanen, Kimmo Kaski, Jari Saramäki (Aalto)

 Electronic communication records provide detailed information about temporal aspects of human interaction. Previous studies have shown that individuals' communication patterns have complex temporal structure, and that this structure has system-wide effects. In this paper we use mobile phone records to show that interaction patterns involving multiple individuals have non-trivial temporal structure that cannot be deduced from a network presentation where only interaction frequencies are taken into account. We apply a recently introduced method, temporal motifs, to identify interaction patterns in a temporal network where nodes have additional attributes such as gender and age. We then develop a null model that allows identifying differences between various types of nodes so that these differences are independent of the network based on interaction frequencies. We find gender-related differences in communication patters, and show the existence of temporal homophily, the tendency of similar individuals to participate in interaction patterns beyond what would be expected on the basis of the network structure alone. We also show that temporal patterns differ between dense and sparse parts of the network. Because this result is independent of edge weights, it can be considered as an extension of Granovetter's hypothesis to temporal networks. 

Janette Lehmann

“User Engagement: The Network Effect Matters!”

with Mounia Lalmas, Ricardo Baeza-Yates, Elad Yom-Tov

In the online industry, user engagement is the quality of the user experience associated with the phenomena of users wanting to use a web ap- plication on a regular basis. Many online providers, such as MSN, Google, and Yahoo!, offer a variety of sites enabling users to, for instance, communicate via email or chat tool, share information via social networks, and read daily as well as entertainment news. The aim of these online providers is not only to keep users interacting with each of the site they offer, but across all their sites, that is their whole network of sites. To achieve this, online providers direct users to their various sites by using, for instance, hyperlinks. This leads to a virtuous cycle be- tween site engagement and the traffic between sites: each reinforces the other. We call user engagement with a network of sites networked user engagement.

How can we measure networked user engagement? When assessing engage- ment with a provider network, we must also take into account the traffic between sites. Current engagement metrics, such as click-through rate, page views, and return rates, were developed to measure engagement for each site separately. They cannot be used in any straightforward way to measure engagement within a network of sites. We therefore develop a new approach that models sites (the nodes) and the traffic between them (the edges) as a network. Then, we ap- ply complex network metrics in conjunction with engagement metrics to study user engagement within a provider network. We use complex network metrics at the network level (such as modularity, density) to describe the engagement with respect to the whole network. We use metrics at node level (such as degree, betweenness, centrality) to learn about the engagement and traffic for specific sites. We evaluate our approach using browsing data of 2M users and a total of 25M online sessions across 728 Yahoo! sites from 80 different countries.
 
Eduardo Altmann
 
“Endogenous and exogenous factors in the dynamics of linguistic innovations”
 
The electronic availability of historical texts allows us to quantify the temporal evolution of linguistic innovations with an unprecedented accuracy. By connecting these observations to simple models we obtain information about the microscopic rules underlying the process of innovation spreading. We are particularly interested in quantifying the importance of endogenous (e.g., word-of-mouth, direct connections in a social network) and exogenous (e.g., broadcasting, external fields) processes in the observed change. Applying our methodology to the case of orthographic reforms and regularization of verbs we obtain that linguistic changes follow the expected "S-curve" only if the exogenous effects dominate, otherwise an exponential curve is observed. Our methodology is not restricted to the case of linguistic innovations and should be of interest whenever data with good resolution of the temporal evolution of the innovation is available.

Sudipta Saha

 “Understanding Evolution of Inter-Group Relationships Using Bipartite Networks”

In online social systems, users with common affiliations or interests form social groups for discussing various topical issues. We study the relationships among these social groups, which manifest through users who are common members of multiple groups, and the evolution of these relationships as new users join the groups. Focusing on a certain number of the most popular groups, we model the group memberships of users as a subclass of bipartite networks, known as Alphabetic Bipartite Networks (α-BiNs), where one of the partitions contains a fixed number of nodes (the popular groups) while the other grows unboundedly with time (new users joining the groups). Specifically, we consider the evolution of the thresholded projection of the user-group bipartite network onto the set of groups, which accurately represents the inter-group relationships. We propose and solve a preferential attachment based growth model for evolution of α- BiNs, and analytically compute the degree distribution of the thresholded projection. Next, we investigate whether the predictions of this model can explain the projection degree distributions of user-group networks derived from several real social systems (Livejournal, Youtube and Flickr). This study shows that the inter-group network is tightly knit, and there is an implicit semantic hierarchy within its structure, that is clearly identified by the method of thresholding. Our analysis also reveals that the robustness in the structure of the real-world inter-groups networks comes significantly from the existing huge heterogeneity in the number of common members among different groups.

Joydeep Chandra

“How users gain connectivity in Online Social Networks --- An Analytical Perspective”

In online social networks, the growth of connectivity of the users is guided by certain network specific factors like the scope and the purpose the network serves, the extent of information made available about the other users in the network and also on the maximum number of social contacts, in terms of friends or followers, that an user is allowed to have. We model the connectivity properties of the users in steady state based on these above stated factors and derive closed form equations that represent the relation between each of these parameters and the connectivity. This information can be used by the application developers to set these parameters so as to tune the various topological properties of the connectivity network.  We validate our models using extensive simulations. Finally, we apply our model on real traces of social networks like Twitter and Facebook and show that our model can successfully represent the connectivity properties of the users in the respective networks.
 

Laetitia Gauvin

“Beyond Counting Tweets: Mining Time-resolved Topical Activity in Social Media”

 
Streams of user-generated content in social media exhibit patterns of collective attention across diverse topics, with temporal structures determined both by exogenous factors and endogenous factors. Teasing apart different topics and resolving their individual, concurrent, activity timelines is a key challenge in extracting knowledge from microblog streams. Facing this challenge requires the use of methods that expose latent signals by using term correlations across posts and over time. Here we focus on content posted to Twitter during the London 2012 Olympics, for which a detailed schedule of events is independently available and can be used for reference. We mine the temporal structure of topical activity by using two methods based on non-negative matrix factorization. We show that for events in the Olympics schedule that can be semantically matched to topics we obtain from Twitter, the extracted activity timeline closely matches the known timeline from the schedule. Our results show that, given appropriate techniques to detect latent signals, Twitter can be used as a social sensor to extract high-resolution topical-temporal information on real-world events.

Luca Maria Aiello

“Reading the Source Code of Social Ties”

Though social network research using online data has exploded during the past few years, not much thought has been given to the translation of online records to social datasets. Records of online interactions have been interpreted as indicative of one social process or another (e.g., status exchange or trust), often with little systematic justification regarding the relation between observed data and theoretical concept. Our research aims to breach this gap in computational social science research, by illustrating how online interactions can be automatically classified into different domains of interaction. We conceptualize social ties as sequences of exchange interactions and develop an algorithm to cluster them according to the type of resource exchanged. In particular, we use data from a book-review website (aNobii) to distinguish between user-to-user interactions that represent exchanges of status, knowledge and social support. A clear structure mapping onto these three domains of interaction emerges spontaneously when conversational transitions are considered. The use of such methods allows us to examine the relationship between the three modes of exchange in the same dyad, setting the stage for more nuanced analysis of dynamic social streams that may one day incorporate the normative grammar of social interaction.

Marc Timme

“Dynamics of Interdependent Networks: Co-action of Stability and Communication in Power Grids"

with Dirk Witthaut

Ensuring reliable electric energy supply constitutes one of the major challenges of modern societies and is thus of current topical interest across science and engineering. Dynamic consequences of the interdependence of functionally different networks (power grids and computer networks in the example published most prominently, Buldyrev et al., Nature, 2010, Gao et al., Nature Physics, 2012) have been studied since recently. Yet, it remains unclear how exactly the stability of power grids depends on the communication structure among the nodes. Here we study the dynamics of modern power grids with respect to decentralization and uncover which topologies in the power transmission and the communication networks favor (and which prevent) stability [1-3].
 
Ref.:
 
[1] Rohden et al., Phys. Rev. Lett. 109, 064101 (2012)
http://link.aps.org/doi/10.1103/PhysRevLett.109.064101
 
[2] Witthaut and Timme, New J. Phys. 14, 083036 (2012)
http://dx.doi.org/10.1088/1367-2630/14/8/083036

 [3] Witthaut et al., in preparation.

Petter Holme

"Temporal network as a modeling framework for disease spreading"

We will discuss the past future and present in the modeling infectious disease spreading with temporal networks—i.e. data where one explicitly model (or record) information about both when and between whom that contacts have happened. We will discuss which temporal network structures that are most important for disease spreading; how these can be exploited to mitigate epidemics and which diseases that actually can be studied with a temporal network framework. Among other things we will argue that the turnover of relationships is an important factor for spreading. We will also discuss how to bridge temporal network epidemiology and the study of opinion and information spreading in social networks.