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Paras Patidar
I am working on Machine Learning, Python and Django.
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Linear, Higher and n-dimensional Space in Machine Learning

Usually refers to number of attributes.There are different types of dimension in which we can represent our data points.Linear,Higher,n-dimensional space.

Dimensions

Usually refers to number of attributes. For more details on dimensions visit here.

There are different types of dimension in which we can represent our data points.

Dimensions are of different types :

Linear Dimensions (2D):

w1.x1 + w2.x2 + b = 0

w.x+b = 0

  • w = (w1,w2)
  • x = (x1,x2)
  • y = label : 0 or 1
  • b = bias

Prediction :

y̅ = '1' if wx+b >= '0' or '0' if wx+b<'0'

Higher Dimensions(3D)

Line Equation : 2D

Plane : 3D

w1.x1+w2.x2+w3.x3+b=0

wx+b = 0

Prediction :

y̅ = '1' if wx+b >= '0' or '0' if wx+b<'0'

n-Dimensional Space

x1,x2,x3,-------,xn

w1.x1+w2.x2+w3.x3+--—+wn.xn+b=0

Prediction :

y̅ = '1' if wx+b >= '0' or '0' if wx+b<'0'