Few Machine Learning Problems (with Python implementation)

This problem also appeared as an assignment problem in the coursera online course Mathematics for Machine Learning: Multivariate Calculus. The description of the problem is taken from the assignment itself. In this assignment, we shall train a neural network to draw a curve. The curve takes one input variable, the amount traveled along the curve from 0 to 1, and returns 2 outputs, the 2D coordinates of the position of points on the curve. The below table shows the first few rows of the dataset.