1. Your task is to find a linear approximation of the function 1 + x, x ∈ [0,1]. Your homework should contain the following steps:
a) Generate N = 10000 random numbers from [0,1]:
x1,x2,...,xN ∈ [0,1],
√
and then obtain their labels: yi = 1 + xi, i = 1,2,...,N.
b) Do linear regression on your generated data using stochastic gradient descent (implement yourself).
c) Do linear regression on your generated data using mini-batch gradient descent (implement yourself). d*) Do linear regression on your generated data using tensorflow.
e) Sketch the graphs of all approximations on one graph.
f) Compare all solutions with the first degree Taylor approximation of√
the function 1 + x.
2*. Pass the following tutorial.
