Timeline for maximization of a log norm function
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 28, 2018 at 14:59 | comment | added | Robert Israel | Suppose e.g. $p = (1,0)$ and $q = (0,1)$ are feasible. Then $\|(p+q)/2\| = 1/2$ while $\|p\| = \|q\| = 1$. | |
| Sep 28, 2018 at 13:10 | comment | added | Michael Fan Zhang | sorry that i forgot to add $x \geq 0$ and i updated my question. | |
| Sep 28, 2018 at 7:39 | comment | added | Robert Israel | Certainly not near $0$. Or on any domain that contains a line segment whose midpoint is closer to $0$ than its endpoints. | |
| Sep 28, 2018 at 7:22 | comment | added | Michael Fan Zhang | $-\log(x)$ is convex and $\|x\|_\infty$ is convex, how about the composite of them. If not, i am thinking of approximating it using its convex envelope. Is there a function serving as a lower convex approximation of it? | |
| Sep 28, 2018 at 7:20 | comment | added | Robert Israel | No, it is not. $-\|x\|_\infty$ is concave. | |
| Sep 28, 2018 at 6:44 | comment | added | Michael Fan Zhang | is -$log(\|x\|_\infty)$ convex? | |
| Sep 28, 2018 at 4:20 | review | Low quality posts | |||
| Sep 28, 2018 at 6:04 | |||||
| Sep 28, 2018 at 4:05 | history | answered | Robert Israel | CC BY-SA 4.0 |