A categorical characterization of relative entropy on standard Borel spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866914675602489344 |
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| author | Gagne, Nicolas Panangaden, Prakash |
| author_facet | Gagne, Nicolas Panangaden, Prakash |
| contents | We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces. We define relative entropy as a functor into Lawvere's category and we show convexity, lower semicontinuity and uniqueness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1703_08853 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | A categorical characterization of relative entropy on standard Borel spaces Gagne, Nicolas Panangaden, Prakash Information Theory We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces. We define relative entropy as a functor into Lawvere's category and we show convexity, lower semicontinuity and uniqueness. |
| title | A categorical characterization of relative entropy on standard Borel spaces |
| topic | Information Theory |
| url | https://arxiv.org/abs/1703.08853 |