Timeline for Prospects for deep learning of non-lattice sphere packings
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 16, 2021 at 5:50 | comment | added | Henry Cohn | In 18, 20, and 22 dimensions, there are non-lattice packings that beat the known lattices, but nobody has found analogous constructions in 19 and 21 dimensions. Maybe there aren't any (it's conceivable that it's a weird parity effect), but I'm guessing that this is more a reflection of what people have tried than what's really out there, and that improvements in 19 and 21 dimensions are possible. | |
| Sep 13, 2021 at 5:53 | comment | added | Turbo | @HenryCohn Why do you think $19$ and $21$ dimensions might be amenable? | |
| Sep 14, 2019 at 17:56 | comment | added | Archie | Bonus question (but please do not feel forced to answer) : might a polymath type search be a framework in which you'd be tempted to participate (at least from the sidelines, or pehaps more actively still) ? | |
| Sep 14, 2019 at 17:51 | comment | added | Archie | Thank you very much for this detailed answer, I couldn't wish for more! | |
| Sep 14, 2019 at 17:50 | vote | accept | Archie | ||
| Sep 14, 2019 at 15:18 | history | answered | Henry Cohn | CC BY-SA 4.0 |