Timeline for Dimension reduction for low-order moments of Rademacher-weighted sums of vectors
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2020 at 3:17 | comment | added | Iosif Pinelis | @TOM : I don't know if it can be found online -- I guess not. | |
| Apr 18, 2020 at 18:24 | comment | added | TOM | The paper by Utev proving the result for $p≥3$ seems unobtainable (at least if one has my searching ability). Can it be found online? | |
| Sep 6, 2015 at 2:44 | comment | added | Paata Ivanishvili | If $n=2$ then it reminds me very much ``weak'' version of Hanner's inequality which is related to uniform convexity of a normed spaces. Based on this natural question (or conjecture) would be: if $x_{j} \in L^{p}$ (or $x_{j} \in \ell^{p}$) then is it true that $\mathbb{E}\|\sum^{n} \varepsilon_{j} x_{j}\|^{p}_{L^{p}}\leq \mathbb{E}|\sum^{n}\varepsilon_{j}\|x_{j}\|_{L^{p}}|^{p}$ holds for $p\geq 2$ and is reversed for $1\leq p\leq 2$. (and similar question in noncommutative case as well) | |
| Jul 26, 2015 at 3:15 | comment | added | Iosif Pinelis | Added an exact Rosenthal-type bound for independent symmetric random vectors as a corollary to the conjectured inequality. | |
| Jul 26, 2015 at 3:14 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
Added an exact Rosenthal-type bound for independent symmetric random vectors as a corollary to the conjectured inequality.
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| Jul 25, 2015 at 22:02 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
replaced new tag with existing one; replaced 'convexity' with more specific tag 'convex-analysis'
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| Jul 24, 2015 at 16:34 | history | asked | Iosif Pinelis | CC BY-SA 3.0 |