Timeline for Which books should I read in order to be prepared to study information geometry?
Current License: CC BY-SA 4.0
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| Dec 24, 2023 at 15:05 | comment | added | Muhammad Fuady | This question may be nearly three years old, but for those in a similar situation seeking resources on differential geometry, I recommend two books by Loring W. Tu. Firstly, "An Introduction to Manifolds" provides a foundational understanding of manifolds. Following that, "Differential Geometry Connections, Curvature, and Characteristic Classes" delves into connections and Riemannian geometry. | |
| May 26, 2020 at 22:32 | vote | accept | CommunityBot | ||
| May 26, 2020 at 18:32 | history | edited | user127351 | CC BY-SA 4.0 |
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| May 25, 2020 at 17:50 | comment | added | user127351 | Thank you for the contribution @GabeK. I am going to look for it. | |
| May 25, 2020 at 14:07 | answer | added | S.Surace | timeline score: 8 | |
| May 25, 2020 at 12:31 | comment | added | Gabe K | I'm not sure there is a textbook I would recommend that covers the prerequisites and also serves as an introduction to IG. For the geometry, I would recommend something like Do Carmo's textbook or John Lee's Riemannian manifolds (strictly speaking, these are two different topics but both are relevant for IG). I would also recommend learning some probability and statistics but I guess you are already familiar with those. | |
| May 24, 2020 at 17:47 | comment | added | user127351 | @GabeK, thanks for the reference. But could you guide me through the literature by suggesting me some mathematical books which are the grounding for the subject? | |
| May 24, 2020 at 0:24 | history | edited | user127351 | CC BY-SA 4.0 |
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| May 24, 2020 at 0:07 | comment | added | Gabe K | This previous question might be helpful. mathoverflow.net/questions/344452/… | |
| May 23, 2020 at 23:41 | comment | added | user127351 | Actually, I am studying copulas at the moment, but I would like to explore its intersection with information geometry. Besides that (and more importantly) I am really interested in mathematical theories which have common applications within statistics. Thus I would like to receive book recommendations so that I can judge if I would keep studying it or not. | |
| May 23, 2020 at 23:26 | comment | added | Christian Chapman | Why do you want to study information geometry? | |
| May 23, 2020 at 22:37 | history | edited | YCor | CC BY-SA 4.0 |
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| May 23, 2020 at 22:22 | history | edited | user127351 |
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| May 23, 2020 at 22:04 | review | First posts | |||
| May 24, 2020 at 0:34 | |||||
| May 23, 2020 at 21:56 | history | asked | user127351 | CC BY-SA 4.0 |