Poster
Fast Bayesian Intensity Estimation for the Permanental Process
Christian Walder · Adrian N Bishop
The Cox process is a stochastic process which generalises the Poisson process by letting the underlying intensity function itself be a stochastic process. In this paper we present a fast Bayesian inference scheme for the permanental process, a Cox process under which the square root of the intensity is a Gaussian process. In particular we exploit connections with reproducing kernel Hilbert spaces, to derive efficient approximate Bayesian inference algorithms based on the Laplace approximation to the predictive distribution and marginal likelihood. We obtain a simple algorithm which we apply to toy and real-world problems, obtaining orders of magnitude speed improvements over previous work.
Summary/Notes »Author Information
Christian Walder (CSIRO Data61)
Adrian N Bishop (Data61/ANU/UTS)
Related Events (a corresponding poster, oral, or spotlight)
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2017 Talk: Fast Bayesian Intensity Estimation for the Permanental Process »
Mon Aug 7th 06:09 -- 06:27 PM Room C4.9& C4.10
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