Support Vector Machine or SVM is one of the most popular Supervised Learning algorithms, which is used for Classification as well as Regression problems. So we can say that this point is on the negative half-space.Next → ← prev Support Vector Machine Algorithm When we put this value on the equation of line we got -1 which is less than 0. So we can say that this point is on the positive half space.Ĭonsider two points (1,-2). When we put this value on the equation of line we got 2 which is greater than 0. So we can say that this point is on the hyperplane of the line.Ĭonsider two points (1,-1). When we put this value on the equation of line we got 0. Let’s consider the same example that we have taken in hyperplane case. Now, these two spaces are called as half-spaces. You can notice from the above graph that this whole two-dimensional space is broken into two spaces One on this side(+ve half of plane) of a line and the other one on this side(-ve half of the plane) of a line. So, for this two dimensions, we could write this line as we discussed previously So, the equation to the line is written as

So, here we have a 2-dimensional space in X 1 and X 2 and as we have discussed before, an equation in two dimensions would be a line which would be a hyperplane. That is if the plane goes through the origin, then a hyperplane also becomes a subspace.Ĭonsider this 2-dimensional picture given below. However, if we have hyper-planes of the form, Hyper-planes, in general, are not sub-spaces. So as you can see from the solution the hyperplane is the equation of a line. So according to the equation of hyperplane it can be solved as Though it's a 2D geometry the value of X will be In just two dimensions we will get something like this which is nothing but an equation of a line. If we expand this out for n variables we will get something like this The hyperplane is usually described by an equation as follows.Now if you take 2 dimensions, then 1 dimensionless would be a single-dimensional geometric entity, which would be a line and so on. So it’s going to be 2 dimensions and a 2-dimensional entity in a 3D space would be a plane. For example, if you take the 3D space then hyperplane is a geometric entity that is 1 dimensionless. Univariate, Bivariate and Multivariate data and its analysis.Mathematics | Graph Theory Basics - Set 2.Mathematics | Propositional Equivalences.Graph measurements: length, distance, diameter, eccentricity, radius, center.Mathematics | Partial Orders and Lattices.Mathematics | Power Set and its Properties.Runge-Kutta 2nd order method to solve Differential equations.Mathematics | Graph Theory Basics - Set 1.Mathematics | Total number of possible functions.Mathematics | Predicates and Quantifiers | Set 1.Mathematics | Euler and Hamiltonian Paths.Mathematics | Graph Isomorphisms and Connectivity.Mathematics | Introduction and types of Relations.Newton's Divided Difference Interpolation Formula.Mathematics | Walks, Trails, Paths, Cycles and Circuits in Graph.Mathematics | Introduction to Propositional Logic | Set 1.Mathematics | L U Decomposition of a System of Linear Equations.Relationship between number of nodes and height of binary tree.

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Hyperplan equation