EX4: Write a computer code that can learn the XOR (eXclusive OR) boolean logic operator by...

  

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EX4: Write a computer code that can learn the XOR (eXclusive OR) boolean logic operator by means of linear/nonlinear regression. First show that a linear model fails to learn such a mapping, then implement a 2 layers NN and verify its ability to overcome the limitations of the linear model. (HINT: for the linear model, the weights can be estimated by both directly creating and inverting the linear regression matrix or by means of gradient descent; for the nonlinear model, use Pytorch to build and optimize the network). EX4: Write a computer code that can learn the XOR (eXclusive OR) boolean logic operator by means of linear/nonlinear regression. First show that a linear model fails to learn such a mapping, then implement a 2 layers NN and verify its ability to overcome the limitations of the linear model. (HINT: for the linear model, the weights can be estimated by both directly creating and inverting the linear regression matrix or by means of gradient descent; for the nonlinear model, use Pytorch to build and optimize the network).