3 ms·
What is hyperplane ?
by revskill 3y ago
What is hyperplane ?
- adamnemecek 3y agoFor 2d, a line, for 3d a plane, for nd a hyperplane. https://en.wikipedia.org/wiki/Hyperplane https://en.wikipedia.org/wiki/Hyperplane
- noduerme 3y agoit's a word (a made up word)
- MattPalmer1086 3y agoAll words are made up!
- noduerme 3y agoYeah, but only a few are made up to seem like terms of art designed to obfuscate their actual meaning; and usually prepending "hyper-" to something is a signal that a more clear description of the thing doesn't yet exist. Downvote away, fellas.
- adamnemecek 3y agohttps://en.wikipedia.org/wiki/Hyperplane https://en.wikipedia.org/wiki/Hyperplane
- shakow 3y agoA subspace of dimension n-1 of a n-dimensional vector space. It is an extension of the well-known concept of a 2d-plane in a 3d-space to nd-spaces.
- eru 3y agoYou could also describe a hyperplane as the set of solutions of a system of linear equations.
- shakow 3y agoOr as the subspace of all the vectors are orthogonal to a given single vector, or as the subspace generated by any orthogonal basis with one base vector removed, or as the kernel of a linear form, ... – but a more visual explanation is probably better as a first foray in the question.
- loehnsberg 3y agoA hyperplane is a multi-dimensional linear function that splits space into two distinct regions. In the context of a classifier, it splits feature space into disjunct sub-spaces (one for each class). SVMs effectively place a hyperplane with maximum margin, thereby separating classes in an optimal way.
- im3w1l 3y agoWorth keeping in mind that though it may be optimal according to some mathematical criterion, that is no guarantee that it's the best for the purposes you have in mind.
- blt 3y agoa partition of Euclidean space into two convex sets ;)