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Marginal Entropies for Causal Inference and Quantum Non-Locality

Date: 
Tuesday 15th October 2013 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Rafael Chaves (University of Freiburg), Lukas Luft (University of Freiburg)

The fields of quantum non-locality in physics, and causal discovery in machine learning, both face the problem of deciding whether observed data is compatible with a presumed causal relationship between the variables (for example a local hidden variable model). Traditionally, Bell inequalities have been used to describe the restrictions imposed by causal structures on marginal distributions. However, some structures give rise to non-convex constraints on the accessible data, and it has recently been noted that linear inequalities on the observable entropies capture these situations more naturally. In this talk, I will introduce the machine learning background, advertise the program of investigating entropic marginals, and present some recent results.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons