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Results tagged with convex-geometry
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user 113353
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
3
votes
1
answer
38
views
A converse question about the polyhedrality under linear mapping
It is quite well known that for any polyhedral set $K$ and any linear mapping $A$, the set $AK$ is polyhedral and hence closed. I am more curious about the converse problem, namely:
Suppose $K$ is a c …
- 1,714
7
votes
1
answer
557
views
Asking for an English version of Aleksandrov's famous 1939 paper in Convex Geometry
I have difficulty even in finding a Russian version of the next paper:
"Aleksandrov, A. D., Almost everywhere existence of the second differential of a convex
function and some properties of convex su …
- 91.8k
2
votes
Analytic expression for the Moreau envelope of $x \mapsto \|Ax\|$
I have to point out that in most cases, there is no closed-form solution of such problems (say, Moreau-envelope of $\|Ax\|_1$ is also the case), and this can be proved for your case.
Now back to your …
- 300