Multi-scale Dynamical Community Detection for the Digital Economy: from analyzing to influencing policy through Open Government data

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The digital age has brought with it an unprecedented gathering of detailed, real-time data from our daily lives, from mobile phone usage to specialized hospital sensors. The availability of such real-world data from a wealth of physical and digital infrastructures coupled with increased computational power offers a unique opportunity to interrogate social behaviour from the level of the individual to the emergence of group dynamics and traits at different levels. Recently, governmental initiatives (specifically in the US and the UK) have been designed to make such datasets available to the wider public. These initiatives offer the possibility to examine quantitatively the influence and effectiveness of policies on different aspects of social dynamics, as well as providing a route for the exercise of citizen participation and feedback. This could lead to improved quality of life in healthcare, traffic, security, or to the design of policies for public spending and usage of resources from the individual level to the collective of groups. These tantalising possibilities have led in the last year to a series of manifesto and even the declaration of the need for a new field, Computational Social Science.. Although those contributions have arisen from different disciplines, they share the belief that the lack of mathematical tools at present for the analysis of such datasets constitutes the fundamental challenge so that the promise of the integration of multi-modal, dynamic datasets can translate into real interpretative results. In particular, there is a need to go beyond the purely (static) statistical methods and to overcome the lack of mathematical, and eventually computational, methodologies that can formalise, interrogate and analyse the data such that hypotheses can be tested and conclusions can be drawn in a rigorous data-driven manner. This proposal, however, goes beyond issues of accessibility and presentation of data and focuses on the development of mathematical tools for the analysis of data in two steps: (1) finding a faithful representation of the data in terms of multi-label, possibly dynamic, networks, and (2) the generation of simplified, intelligible reductions of such networks in terms of a multi-level dynamical hierarchy of communities that can uncover patterns of interaction in the data. The aim of this proposal is to develop robust methodologies for the analysis of networks derived from large, complex social datasets currently made available to the public through the Open Government initiative. Our mathematical tools will address the creation of representative networks from the data and the multi-scale and multi-label analysis of such networks leading to reduced descriptions in terms of dynamical community structures derived from the data without any a priori specification. The datasets chosen will be of current social interest but also exemplify three fundamental characteristics of social datasets that are linked to specific mathematical challenges for their analysis: (i) the multi-scale nature of social networks; (ii) the multi-label characterisation of social datasets; and (iii) the importance of dynamics and flows in social descriptions. The mathematical tools will be specifically applied to the following three areas of high interest for the Digital Economy: Neighbourhood statistics data, the redistricting problem and the recently released budget expenditure data.