Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900302 | Reports on Mathematical Physics | 2016 | 13 Pages |
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
Authors
Stephan Weis,