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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Relative Entropy and Fisher Information

## Relative Entropy and Fisher InformationAdd to your list(s) Download to your calendar using vCal - Marius Junge (University of Illinois; University of Illinois at Urbana-Champaign)
- Friday 27 July 2018, 12:30-13:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. MQIW05 - Beyond I.I.D. in information theory We show that in finite dimension the set of generates satisfying a stable version of the log-sobolev inequality for the Fisher information is dense. The results is based on a new algebraic property , valid for subordinates semigroups for sublabplacians on compact Riemann manifolds which is then transferred to matrix algebras. Even in the commutative setting the inequalities for subordinated sublaplacians are entirely new. We also found counterexample for why a naive approach via hypercontractivity is not expected to work in a matrix-valued setting, similar to results by Bardet and collaborators. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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