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# System prepended metadata

title: Bayes-Duality Mini-workshop

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# Bayes-Duality Mini-workshop
### Wednesday 28th September  [Japan 17:00-18:30 | France 10:00-11:30]

*Here is the outline for the mini-workshop. The meeting will last approximately 1 hour.
==The idea would be to give short presentations, about 20 minutes, to leave time for Q&As.==*


- **Mathematical Science Team** [Japan 17:00 | France 10:00]
    - *[Koichi Tojo](https://aip.riken.jp/labs/generic_tech/math_sci/)*
**Title**: Classification problem of invariant q-exponential families on homogeneous spaces
**Abstract**
Q-exponential family is a natural generalization of exponential family and is an important subject in the fields of information geometry and statistics. Widely used q-exponential families such as normal distributions and Cauchy distributions have a symmetry. More precisely, the sample space can be regarded as a homogeneous space G/H and the family of distributions on it is G-invariant with respect to the induced G-action by pushforward. Then the following problem naturally arises:
Classify G-invariant q-exponential families on G/H.
I would like to talk about a strategy to solve this problem using "q-deformation" of an exponential family. Moreover, we give a new SL(2, R)-invariant q-exponential family on the upper half plane.


### Links
[Bayes-Duality webpage](https://bayesduality.github.io/)
[Twitter](https://twitter.com/BayesDuality)