Entropy and Diversity: The Axiomatic Approach · HackerPapers discussions

Entropy and Diversity: The Axiomatic Approach — mentioned by catgary

Fri, 29 Sep 2023 14:51:29 GMT

So, just to offer a few counterpoints there is Tom Leinster’s work on diversity/entropy [1], where people working in mathematical ecology have been happy with his contributions. I’ve also see the Penn robotics group start to use categorical machinery to nail down concepts like bisimulation of dynamical systems and develop a ‘type theory’ for motion plans that has its semantics in a category of dynamical systems [2]. [1] https://arxiv.org/abs/2012.02113 [2] http://www.tac.mta.ca/tac/volumes/35/45/35-45.pdf I can’t stress enough that Koditschek group are serious people who are using this stuff…

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Entropy and Diversity: The Axiomatic Approach — mentioned by tutfbhuf

Sun, 23 Jul 2023 16:42:02 GMT

This presentation is getting into the idea of "magnitude" the invariant from category theory and how it can be used in mathematical ecology, especially when we're trying to max out diversity. It's put forward as a possible answer to a head-scratcher in mathematical ecology: How do we find the maximum diversity if we're given a list of n species and a similarity matrix? The presentation gives us a whole range of views on biodiversity, making it clear that we need to think about both common and rare species when we're figuring out diversity. It hints that this magnitude idea might give us a…

Paper and discussion history. A mention is not an endorsement.

Entropy and Diversity: The Axiomatic Approach — HN submission

Fri, 04 Dec 2020 14:22:58 GMT

Entropy and Diversity: The Axiomatic Approach

1 point; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.