[SOLVED] Machine Learning   ECE 4332 / ECE 5332   Project 2

1. Generate the training set:
   1. 𝑁𝑁𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 = 10
   2. 𝑋𝑋^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} contains samples from a uniform distribution U(0,1).
   3. 𝑡𝑡^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} = sin2𝜋𝜋𝑋𝑋^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} + 𝜀𝜀, where 𝜀𝜀 is drawn from a Gaussian (Normal) distribution N(0, 𝜎𝜎 =0.3).
2. Generate the test set:
   1. 𝑁𝑁^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} = 100
   2. 𝑋𝑋^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} contains samples from a uniform distribution U(0,1).
   3. 𝑡𝑡^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} = sin(2𝜋𝜋𝑋𝑋^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇}) + 𝜀𝜀, where 𝜀𝜀 is drawn from a Gaussian distribution N(0, 𝜎𝜎 =0.3).
3. Use the method of linear regression with non-linear models to fit polynomials of degree 𝑀𝑀 = 0,1,2, … ,9 to the training set.
4. Record the training and testing errors for each of the 10 cases.
5. Produce the plot as shown below, where

𝐸𝐸_{𝑅𝑅𝑅𝑅𝑅𝑅} = 𝐽𝐽𝑤𝑤/𝑁𝑁

6. Repeat the exercise for 𝑁𝑁^{𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇} = 100.

Upload your .m or .py file to Blackboard prior to the deadline.