Motivation & Background Graph Models Side Information Belief Propagation Conclusion Community Detection on Graphs with Side Information Aria Nosratinia ACOSIS 2019, Marrakech November 20, 2019 Aria Nosratinia Community Detection with Side Information 1/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Network Science Abstraction of data structures into networks Technology: Internet, telephone network, power grids, transportation networks Information: world wide web, citation networks Biology: metabolic networks, protein interaction networks, genetic regulatory networks, etc. Social Networks: friendships, business interactions, facebook financial networks... Important for two reasons: Prevalence in engineering, biology, sociology, finance Usefulness in modeling, analysis, and solving problems. Aria Nosratinia Community Detection with Side Information 2/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Why Study Networks Pattern of interactions between parts of a system is important .... significant effect on behavior of complex systems A network is an abstraction of the topology of interactions Networks have been studied in many ways, by scholars in different fields Key Question: how the structure of network determines properties we care about? Aria Nosratinia Community Detection with Side Information 3/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Why Study Networks Pattern of interactions between parts of a system is important .... significant effect on behavior of complex systems A network is an abstraction of the topology of interactions Networks have been studied in many ways, by scholars in different fields Key Question: how the structure of network determines properties we care about? Aria Nosratinia Community Detection with Side Information 3/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Why Study Networks Pattern of interactions between parts of a system is important .... significant effect on behavior of complex systems A network is an abstraction of the topology of interactions Networks have been studied in many ways, by scholars in different fields Key Question: how the structure of network determines properties we care about? Aria Nosratinia Community Detection with Side Information 3/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Community Structure In Networks One of the key features of many networks is the way the nodes relate to each other. Many networks consist of clusters whose internal structure is consistent, but separate from the remainder of the network. A small network displaying community structure Aria Nosratinia Community Detection with Side Information 4/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Community Detection in Networks Community detection is a central problem in machine learning and data science. I.e., which items belong together and have similar properties Can be a goal unto itself, or first step toward other learning tasks Applications in biology, criminology, social networks, politics, link prediction, advertising Studied in statistics, computer science, and theoretical statistical physics Aria Nosratinia Community Detection with Side Information 5/ 40
Motivation & Background Graph Models Side Information Belief Propagation Conclusion Community Detection in Networks Community detection is a central problem in machine learning and data science. I.e., which items belong together and have similar properties Can be a goal unto itself, or first step toward other learning tasks Applications in biology, criminology, social networks, politics, link prediction, advertising Studied in statistics, computer science, and theoretical statistical physics Aria Nosratinia Community Detection with Side Information 5/ 40
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