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Harry Crane Rutgers University

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Two challenges in statistical network modeling
25 August 2016 from 4:00 PM to 5:00 PM
201 Thomas Building
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I discuss two challenges in modeling networks:

1. modeling temporal variation in network structure and
2. accounting for common structural properties in a natural way.

In both cases, I consider how to specify models with logical properties necessary for sensible inference.

For 1., I show how certain minimal assumptions constrain the class of dynamic network models to a relatively restricted class of processes.

For 2., I discuss how basic properties of sparsity and power law, which cannot be accommodated by conventional network models that assume exchangeability with respect to vertex relabeling, are better handled by a new invariance principle of edge exchangeability.  (This is joint work with Walter Dempsey, U. Michigan.)


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