The Perceptron

Lecture Notes on 19-9-2023
Author
Published

October 3, 2023

Author
Published

October 3, 2023

1 The Perceptron Model

it just a linear model where:

Here \(\phi(x)=x\) for instance.

1.1 Error function

1.2 The Perceptron: Learning

Here \(<1\) we can also have \(\gamma\)

1.3 Perceptron Learning as Gradient Descent

1.4 Pros with the Perceptron

  • The algorithm guarantees to converge if the data is linear separable

1.5 Problems with the Perceptron

  • Perceptron only works for 2 classes
  • Cycling theorem: many solutions if data is not linearly separable
  • Based on linear combination of fixed basis functions.