A Birth-Death Process for Feature Allocation.
Knowles, David A
Proceedings of the 34th International Conference on Machine Learning, ICML 2017, Sydney, NSW, Australia, 6-11 August 2017
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Palla, K., Knowles, D. A., & Ghahramani, Z. (2017). A Birth-Death Process for Feature Allocation.. ICML, 70 2751-2759. http://proceedings.mlr.press/v70/
We propose a Bayesian nonparametric prior over feature allocations for sequential data, the birth- death feature allocation process (BDFP). The BDFP models the evolution of the feature allocation of a set of N objects across a covariate (e.g. time) by creating and deleting features. A BDFP is exchangeable, projective, stationary and reversible, and its equilibrium distribution is given by the Indian buffet process (IBP). We show that the Beta process on an extended space is the de Finetti mixing distribution underlying the BDFP. Finally, we present the finite approximation of the BDFP, the Beta Event Process (BEP), that permits simplified inference. The utility of the BDFP as a prior is demonstrated on real world dynamic genomics and social network data.
Konstantina's research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013) ERC grant agreement no. 617411. EPSRC Grant EP/N014162/1 ATI Grant EP/N510129/1 Institutions involved: Oxford University, Cambridge University, Stanford University
External link: http://proceedings.mlr.press/v70/
This record's URL: https://www.repository.cam.ac.uk/handle/1810/269737