Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightlyconnected groups of nodes known as communities. We developed a generalized framework of network quality functions that allowed us to study the community structure of arbitrary multislice networks, which are combinations of individual networks coupled through links that connect each node in one network slice to itself in other slices. This framework allows one to study com-1 arXiv:0911.1824v3 [physics.data-an]

The local structure of unweighted networks can be characterized by the number of times a subgraph appears in the network. The clustering coefficient, reflecting the local configuration of triangles, can be seen as a special case of this approach. In this paper we generalize this method for weighted networks. We introduce subgraph "intensity" as the geometric mean of its link weights "coherence" as the ratio of the geometric to the corresponding arithmetic mean. Using these measures, motif scores and clustering coefficient can be generalized to weighted networks. To demonstrate these concepts, we apply them to financial and metabolic networks and find that inclusion of weights may considerably modify the conclusions obtained from the study of unweighted characteristics.

Executive Summary BackgroundThis Commission addresses several priority areas for psychiatry over the next decade, and into the 21st century. These represent challenges and opportunities for the profession to sustain and develop itself to secure the best possible future for the millions of people worldwide who will face life with mental illness. Part 1: The patient and treatmentWho will psychiatrists help? The patient population of the future will reflect general demographic shifts towards older, more urban, and migrant populations. While technical advances such as the development of biomarkers will potentially alter diagnosis and treatment, and digital tech-nology will facilitate assessment of remote populations, the human elements of practice such as cultural sensitivity and the ability to form a strong therapeutic alliance with the patient will remain central. Part 2: Psychiatry and health-care systemsDelivering mental health services to those who need them will require reform of the traditional structure of services. Few existing models have evidence of clinical effectiveness and acceptability to service users. Services of the future should consider stepped care, increased use of multidisciplinary teamwork, more of a public health approach, and the integration of mental and physical health care. These services will need to fit into the cultural and economic framework of a diverse range of settings in high-income, low-income, and middle-income countries. Part 3: Psychiatry and societyIncreased emphasis on social interventions and engagement with societal expectations might be an important a ea fo ps hiat s de elop e t. This ould e o pass ad o a fo the ights of individuals living with mental illnesses, political involvement concerning the social risk factors for mental illness, and, on a smaller scale, work with families and local social networks and communities. Psychiatrists should therefore possess communication skills and knowledge of the social sciences as well as the basic biological sciences. Part 4: The future of mental health lawMental health law worldwide tends to be based on concerns about risk rather than the protection of the rights of individuals experiencing mental illness. The United Nations Convention on the Rights of Persons with Disabilities, which states that compulsion based in whole or in part on mental disability is discriminatory, is a landmark document that should inform the future formulation and reform of mental health laws. An evidence-based approach needs to be taken: mental health legislation should mandate mental health training for all health professionals; ensure access to good-quality care; and cover wider societal issues, particularly access to housing, resources, and employment. All governments should include a mental health impact assessment when drafting relevant legislation. Part 5: Digital psychiatry-enhancing the future of mental healthDigital technology might offer psychiatry the potential for radical change in terms of service delivery and the development of new treatm...

The study of networks has become a substantial interdisciplinary endeavor that encompasses myriad disciplines in the natural, social, and information sciences. Here we introduce a framework for constructing taxonomies of networks based on their structural similarities. These networks can arise from any of numerous sources: they can be empirical or synthetic, they can arise from multiple realizations of a single process (either empirical or synthetic), they can represent entirely different systems in different disciplines, etc. Because mesoscopic properties of networks are hypothesized to be important for network function, we base our comparisons on summaries of network community structures. Although we use a specific method for uncovering network communities, much of the introduced framework is independent of that choice. After introducing the framework, we apply it to construct a taxonomy for 746 networks and demonstrate that our approach usefully identifies similar networks. We also construct taxonomies within individual categories of networks, and we thereby expose nontrivial structure. For example, we create taxonomies for similarity networks constructed from both political voting data and financial data. We also construct network taxonomies to compare the social structures of 100 Facebook networks and the growth structures produced by different types of fungi.