Activity for purplenanite‭

Type	On...	Excerpt	Status	Date
Comment	Post #292671	the number of vectors can vary from 1-2x the number of dimensions that being said, I am now realizing how poorly-worded the original post was, mathematically (more)	—	about 2 months ago
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)	—	3 months ago
Edit	Post #292671	Post edited: Included a second set of edits meant to demonstrate the dimensionality of the problem	—	3 months 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)	—	3 months ago
Comment	Post #292671	Thank you, i specified the interior in the edit. (more)	—	3 months ago
Edit	Post #292671	Post edited: specified interior of shape	—	3 months ago
Edit	Post #292671	Initial revision	—	3 months 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)	—	3 months 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)	—	7 months ago