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Results tagged with convex-analysis
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user 766
9
votes
Accepted
A potential new norm for matrices and Horn's inequalities
By the standard classification of unitarily invariant norms (see e.g., this blog post), the expression $N_{(p,q)}$ is a norm if and only if the function
$$ \| (x,y) \| := \inf \left\{ \varepsilon > 0: …
- 114k
16
votes
Accepted
Probability vector $p$ majorizes its normalized entropy vector $\small \frac{-p\log p}{H(p)}$
This appears to be the case, but I was forced to rely on a somewhat complicated inequality on two real variables that looks quite plausible numerically, though I do not have a 100% rigorous proof of i …
- 114k