Timeline for Characterization of all-orthogonal tensors
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22 at 7:06 | comment | added | jujumumu | @Bonnevie Have you had any success in characterizing the space of 2x2x2 all orthogonal tensors? I've tried but to no avail. Or found any properties of the dimension of these spaces? | |
| Aug 19 at 22:08 | comment | added | Bonnevie | @jujumumu unfortunately not. Still seems like an interesting problem, I revisit it occasionally, but haven't had the chance to progress much on it. If you are into graphical tensor network notation, the all-orthogonality condition of an n-tensor implies that if you take two copies of the tensor, pick any n-1 coordinates and connect the matched legs, then the result is a diagonal matrix. | |
| Aug 18 at 3:40 | comment | added | jujumumu | @Bonnevie did you ever figure this out? | |
| Aug 24, 2021 at 16:56 | comment | added | Zach Teitler | There is a paper Orthogonal and unitary tensor decomposition from an algebraic perspective by Boralevi, et al. They study a class of tensors they call "odeco" for "orthogonally decomposable". It might not be the same as your "all-orthogonal", but still perhaps something there might be relevant. | |
| Aug 24, 2021 at 8:55 | answer | added | Sebastian K. | timeline score: 1 | |
| May 29, 2020 at 6:01 | history | edited | Bonnevie | CC BY-SA 4.0 |
Forgot scaling factor
|
| May 28, 2020 at 21:47 | review | First posts | |||
| May 28, 2020 at 22:35 | |||||
| May 28, 2020 at 21:42 | history | asked | Bonnevie | CC BY-SA 4.0 |