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Definition

Hyperplane

A Hyperplane is a subspace whose dimension is one less than that of its ambient space. In machine learning, it acts as a decision boundary to separate different data classes.

Frequently Asked Questions

What is the role of a hyperplane in SVMs?

It is the decision boundary that separates data points into distinct classes with the maximum margin of separation.

What is the equation of a hyperplane?

`W * x + b = 0` where W is the normal weight vector, x is the coordinate vector, and b is the intercept bias.

Quick Facts

  • CategoryMathematical Foundations
  • Key ApplicationSupport Vector Machine classification, mathematical optimization, and coordinate separation.

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