Timeline for Which distributions of $X$ and $Y$ yield a Gaussian $Z=XY$?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 14, 2022 at 16:20 | comment | added | Iosif Pinelis | @Witiko : Thank you for letting me know. I am glad this was of use. | |
| Jan 14, 2022 at 16:12 | comment | added | Witiko | @IosifPinelis As promised, the following preprint makes use of your result and additionally proves some properties useful for the initialization of weights in neural networks (see appendix A.3): arxiv.org/abs/2104.09691v5. The camera-ready is to appear in the International Journal of Universal Computer Science (J.UCS) 28:2 this February. | |
| Sep 8, 2020 at 21:06 | comment | added | Iosif Pinelis | @Witiko : I am glad this was of help. | |
| Sep 8, 2020 at 17:38 | comment | added | Witiko | @IosifPinelis Thank you for the result. I will cite your preprint in a work that deals with the initialization of neural network weights, where the product of several iid r.v.'s must have standard normal distribution. | |
| Sep 8, 2020 at 17:19 | comment | added | Iosif Pinelis | @Witiko : Thank you for your comment. | |
| Sep 8, 2020 at 14:06 | comment | added | Witiko | @rodms The $W_i$'s are not so difficult to approximate using finite sums, see the Example section of math.stackexchange.com/a/3818660/133843, where the r.v.'s are approximated in Python using the NumPy library. | |
| Dec 9, 2019 at 23:07 | comment | added | rodms | Thanks, this is very useful. The $W_i$´s seem difficult to construct though. | |
| Dec 9, 2019 at 23:07 | vote | accept | rodms | ||
| Dec 9, 2019 at 22:28 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 260 characters in body
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| Dec 9, 2019 at 22:22 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |