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Some related phase transitions in phylogenetics and social network analysis
May 5 @ 11:00 am
Spin systems on trees have found applications ranging from the reconstruction of phylogenies to the analysis of networks with community structure. A key feature of such processes is the interplay between the growth of the tree and the decay of correlations along it. How the resulting threshold phenomena impact estimation depends on the problem considered. I will illustrate this on two recent results: 1) the critical threshold of ancestral sequence reconstruction by maximum parsimony on general phylogenies and 2) the accuracy of estimators based on respondent-driven sampling in hard-to-reach populations.
This is joint work respectively with Jason Wang and Karl Rohe.