Article ID Journal Published Year Pages File Type
1900302 Reports on Mathematical Physics 2016 13 Pages PDF
Abstract

We study the continuity of the maximum-entropy inference map for two observables in finite dimensions. We prove that the continuity is equivalent to the strong continuity of the set-valued inverse numerical range map. This gives a continuity condition in terms of analytic eigenvalue functions which implies that discontinuities are very rare. It shows also that the continuity of the MaxEnt inference method is independent of the prior state.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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