Habilitation à Diriger des Recherches

14th October 2019, 10:30, Grand Amphitheatre, Inria Montbonnot.

Title: Bayesian Statistical Learning and Applications




Preliminary talk, 14th October

9:45 - 10:15 Alessandra Guglielmi (Politecnico di Milano)

Title: Determinantal point process mixtures via spectral density approach

Abstract: We consider mixture models where location parameters are a priori encouraged to be well separated. We explore a class of determinantal point process (DPP) mixture models, which provide the desired notion of separation or repulsion. Instead of using the rather restrictive case where analytical results are partially available, we adopt a spectral representation from which approximations to the DPP density functions can be readily computed. We later extend our model to incorporate covariate information in the likelihood and also in the assignment to mixture components, yielding a trade-off between repulsiveness of locations in the mixtures and attraction among subjects with similar covariates. We illustrate the model and posterior behavior using simulation scenarios and data illustrations.


From 12:30, in A109.