Patrick Doreian | |
---|---|
Born | October 1, 1941 |
Scientific career | |
Fields | Social network analysis |
Institutions | University of Pittsburgh London School of Economics University of California-Irvine University of Ljubljana |
Website | http://patrickdoreian.com/ |
Patrick Doreian is an American mathematician and social scientist, whose specialty is network analysis. His specific research interests include blockmodeling, social structure and network processes. [1]
Doreian, professor emeritus from the University of Pittsburgh in sociology and statistics, was during his research career focused on social network research, especially regarding temporal networks, scientific collaboration, partitioning networks, signed networks, network autocorrelation and the US Supreme Court. He was also an (co)editor of The Journal of Mathematical Sociology (1982–2005) and Social Networks (2006–2015). [2]
He was also a Centennial professor at the London School of Economics (2002) and a visiting professor at the University of California-Irvine and the University of Ljubljana. [3]
With Thomas J. Fararo in 1984, he introduced tripartite structural analysis. [4]
With Norman P. Hummon in 1989, he proposed a main path analysis, a mathematical tool, [5] to identify the major paths in a citation network, which is one form of a directed acyclic graph (DAG).
In 1994, with Vladimir Batagelj and Anuška Ferligoj, he introduced the generalized blockmodeling. [6]
His co-authored book Generalized blockmodeling (with Vladimir Batagelj and Anuška Ferligoj), was in 2007 awarded the Harrison White Outstanding Book Award by the Mathematical Sociology Section of American Sociological Association. [7]
Vladimir Batagelj is a Slovenian mathematician and an emeritus professor of mathematics at the University of Ljubljana. He is known for his work in discrete mathematics and combinatorial optimization, particularly analysis of social networks and other large networks (blockmodeling).
Harrison Colyar White is the emeritus Giddings Professor of Sociology at Columbia University. White played an influential role in the “Harvard Revolution” in social networks and the New York School of relational sociology. He is credited with the development of a number of mathematical models of social structure including vacancy chains and blockmodels. He has been a leader of a revolution in sociology that is still in process, using models of social structure that are based on patterns of relations instead of the attributes and attitudes of individuals.
Mathematical sociology or the sociology of mathematics is an interdisciplinary field of research concerned both with the use of mathematics within sociological research as well as research into the relationships that exist between maths and society.
Thomas J. Fararo was Distinguished Service Professor Emeritus at the University of Pittsburgh. After earning a Ph.D. in sociology at Syracuse University in 1963, he received a three-year postdoctoral fellowship for studies in pure and applied mathematics at Stanford University (1964–1967). In 1967, he joined the faculty of University of Pittsburgh; during 1972-1973, he was visiting professor at the University of York in England.
Tom A. B. Snijders is professor of Statistics in the Social Sciences at Nuffield College, Oxford, one of the constituent colleges of the University of Oxford. He is also professor of Methodology at the University of Groningen, a position he has held for more than twenty years.
Social network analysis (SNA) software is software which facilitates quantitative or qualitative analysis of social networks, by describing features of a network either through numerical or visual representation.
David Reuben Jerome Heise was a social psychologist who originated the idea that affectual processes control interpersonal behavior. He contributed to both quantitative and qualitative methodology in sociology. He retired from undergraduate teaching in 2002, but continued research and graduate student consulting as Rudy Professor of Sociology Emeritus at Indiana University. He was most well known for his work on affect control theory.
Anuška Ferligoj is a Slovenian mathematician, born August 19, 1947 in Ljubljana, Slovenia, whose specialty is statistics and network analysis. Her specific interests include multivariate analysis, cluster analysis, social network analysis, methodological research of public opinion, analysis of scientific networks. She is Fellow of the European Academy of Sociology.
Main path analysis is a mathematical tool, first proposed by Hummon and Doreian in 1989, to identify the major paths in a citation network, which is one form of a directed acyclic graph (DAG). It has since become an effective technique for mapping technological trajectories, exploring scientific knowledge flows, and conducting literature reviews.
Blockmodeling is a set or a coherent framework, that is used for analyzing social structure and also for setting procedure(s) for partitioning (clustering) social network's units, based on specific patterns, which form a distinctive structure through interconnectivity. It is primarily used in statistics, machine learning and network science.
Aleš Žiberna is a Slovene statistician, whose specialty is network analysis. His specific research interests include blockmodeling, multivariate analysis and computer intensive methods.
In generalized blockmodeling, the blockmodeling is done by "the translation of an equivalence type into a set of permitted block types", which differs from the conventional blockmodeling, which is using the indirect approach. It's a special instance of the direct blockmodeling approach.
Andrej Mrvar is a Slovenian computer scientist and a professor at the University of Ljubljana. He is known for his work in network analysis, graph drawing, decision making, virtual reality, electronic timing and data processing of sports competitions.
In mathematics applied to analysis of social structures, homogeneity blockmodeling is an approach in blockmodeling, which is best suited for a preliminary or main approach to valued networks, when a prior knowledge about these networks is not available. This is due to the fact, that homogeneity blockmodeling emphasizes the similarity of link (tie) strengths within the blocks over the pattern of links. In this approach, tie (link) values are assumed to be equal (homogenous) within blocks.
Blockmodeling linked networks is an approach in blockmodeling in analysing the linked networks. Such approach is based on the generalized multilevel blockmodeling approach. The main objective of this approach is to achieve clustering of the nodes from all involved sets, while at the same time using all available information. At the same time, all one-mode and two-node networks, that are connected, are blockmodeled, which results in obtaining only one clustering, using nodes from each sets. Each cluster ideally contains only nodes from one set, which also allows the modeling of the links among clusters from different sets. This approach was introduced by Aleš Žiberna in 2014.
Linked network in statistics is a network, which is composed of one-node networks, where the nodes from different one-node networks are connected through two-node networks. This means, that "linked networks are collections of networks defined on different sets of nodes", where all sets of nodes must be connected to each other.
Exploratory blockmodeling is an (inductive) approach in blockmodeling regarding the specification of an ideal blockmodel. This approach, also known as hypotheses-generating, is the simplest approach, as it "merely involves the definition of the block types permitted as well as of the number of clusters." With this approach, researcher usually defines the best possible blockmodel, which then represent the base for the analysis of the whole network.
Confirmatory blockmodeling is a deductive approach in blockmodeling, where a blockmodel is prespecify before the analysis, and then the analysis is fit to this model. When only a part of analysis is prespecify, it is called partially confirmatory blockmodeling.
Implicit blockmodeling is an approach in blockmodeling, similar to a valued and homogeneity blockmodeling, where initially an additional normalization is used and then while specifying the parameter of the relevant link is replaced by the block maximum.
Generalized blockmodeling of binary networks is an approach of generalized blockmodeling, analysing the binary network(s).