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1
Introduction
2
Outline
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Reading list
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What are networks
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Marriage network
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London network
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Example networks
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Research questions
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Network summaries
10
Degree distribution
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Local clustering coefficient
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Global clustering coefficient
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Expected clustering coefficient
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Shortest distance
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Motifs
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Other measures
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Mathematical models
18
Via networks
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Power law
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preferential attachment
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stochastic block model
22
degrees
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special models
24
maximum likelihood
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maximum likelihood estimator
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method of moments
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duplication divergence model
28
log log plot
29
log plot example
30
Markov chain
31
Testing the model
32
Complications
33
General framework
34
Other topics
35
Sampling
Description:
Explore statistical inference for networks in this comprehensive lecture by Professor Gesine Reinert from the University of Oxford. Delve into the fascinating world of network analysis, covering topics such as the six degrees of separation hypothesis, network statistics, and various mathematical models. Learn about key concepts including degree distribution, clustering coefficients, shortest distances, and motifs. Examine different network types, from marriage networks to the London network, and understand research questions surrounding network analysis. Discover mathematical models like power law, preferential attachment, and stochastic block models. Gain insights into estimation techniques such as maximum likelihood and method of moments. Investigate model testing, complications in network analysis, and explore additional topics like sampling. This lecture provides a thorough introduction to the field of network statistics and its applications in various contexts, including computational biology and social interactions. Read more

Statistical Inference for Networks - Professor Gesine Reinert, University of Oxford

Alan Turing Institute
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