Smallest simplex
From Wikimization
(Difference between revisions)
Flyshcool (Talk | contribs)
(New page: I am a PhD. candidate student in Tsinghua University, China. I think this is an open problem in my field. That is: How to find the smallest simplex which can enclose a bunch of given poin...)
Next diff →
Revision as of 18:31, 10 June 2008
I am a PhD. candidate student in Tsinghua University, China. I think this is an open problem in my field. That is:
How to find the smallest simplex which can enclose a bunch of given points in a high dimensional space (under the following two assumptions)? (1) The number of the vertexes of the simplex is known, say n; (2) The number of the vertexes of the simplex is unknown;
To measure how small the simplex is, we can use the volume of the simplex.
The question is: can this problem be cast into a convex optimization?