Abstract
In a series of articles, we have been developing a theory of tropical diagrams of probability spaces, expecting it to be useful for information optimization problems in information theory and artificial intelligence. In this article, we give a summary of our work so far and apply the theory to derive a dimension-reduction statement about the shape of the entropic cone.
| Original language | English |
|---|---|
| Pages (from-to) | 1133-1153 |
| Number of pages | 21 |
| Journal | Kybernetika |
| Volume | 56 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2020 Institute of Information Theory and Automation of The Czech Academy of Sciences. All rights reserved.
Keywords
- entropic cone
- non-Shannon inequality
- tropical probability
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