COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Non-parametric methods for the dynamic stochastic block model and the time-dependent graphon
Non-parametric methods for the dynamic stochastic block model and the time-dependent graphonAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact INI IT. This talk has been canceled/deleted The Dynamic Stochastic Block Model (DSBM) and the dynamic graphon are natural extensions of the, respectively, Stochastic Block Model and the graphon, from the time-independent to the time-dependent setting. The objective of the present talk is estimation of the tensor of the connection probabilities when it is generated by the DSBM and the dynamic graphon. In particular, in the context of the DSBM , under very few simple non-parametric assumptions, we derive a penalized least squares estimator and show that it satisfies an oracle inequality and also attains the minimax lower bounds for the risk. We extend those results to estimation in the context of the dynamic graphon. The estimators are adaptive to the unknown number of blocks in the context of DSBM or of the smoothness of the graphon function. The technique relies on the vectorization of the model and leads to to much simpler mathematical arguments than the ones used previously in the stationary set up. In addition, all our results are non-asymptotic and allow a variety of extensions. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
Other listsThree-dimensional cell culture: Innovations in tissue scaffolds and biomimetic systems FERSA - All Events West African Archaeology; Papers in Honour of Thurstan Shaw CIMR Professional Development Series by the postdoc committe Construction Engineering Seminars Cambridge Centre for Political ThoughtOther talksReligion, revelry and resistance in Jacobean Lancashire From dry to wet granular media Imaging surfaces with atoms Polynomial approximation of high-dimensional functions on irregular domains Primate tourism: opportunities and challenges Art speak |