Activity for purplenanite
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #292671 |
I think i have the wrong impression with my question - my data is very high dimensional, so i'm not certain reject sampling would work very well? And i'm not sure how to generate a bounding box using vectors $\vec{G}_j$ and values $v_j$? (more) |
— | 19 days ago |
| Edit | Post #292671 |
Post edited: Included a second set of edits meant to demonstrate the dimensionality of the problem |
— | 19 days ago |
| Comment | Post #292671 |
I think this is a case of me not knowing the correct terminology. It is in a *very* high-dimensional space, i should have said something like "the (boundary/hypersurface)... normal to the vector $\vec{G}_k$"
I'll change the question to better reflect this.
(more) |
— | 19 days ago |
| Comment | Post #292671 |
Thank you, i specified the interior in the edit. (more) |
— | 21 days ago |
| Edit | Post #292671 |
Post edited: specified interior of shape |
— | 21 days ago |
| Edit | Post #292671 | Initial revision | — | 21 days ago |
| Question | — |
How do I (efficiently) sample from the interior of a convex polytope? I wish to sample a "typical" point in the interior of a convex polytope. The volume is defined by vectors $\vec{G}k$ and values $vk$ such that $\forall k,(\vec{X} \cdot \vec{G}k) > vk$. However, I also have an additional point $\vec{X}j$ which is guaranteed to be on the boundary of the convex poly... (more) |
— | 21 days ago |
| Comment | Post #291375 |
This doesn't quite solve the problem, but since a,b are not equal to 0, you can get rid of them without loss of generality.
For example, dividing by a will just get rid of the variable "a", and leave c/a and d/a, so you can set a=1
likewise, you can transform bx->x, at the cost of cx-> c/b x
but ... (more) |
— | 5 months ago |