Applied Mathematics for Computer Science

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====== Homework 01 ======

===== Goal =====
Implement polynomial curve fitting in python and with TensorFlow (optionally).

1. sample the function curve of y=sin(x) with Gaussian noise
{{ :homework:curve-fitting-d3.png?300 |}}

2. fit degree 3 and 9 curves in 10 samples
{{ :homework:curve-fitting-d9.png?300 |}}

3. fit degree 9 curves in 15 and 100 samples
{{ :homework:curve-fitting-d9s15.png?300  |}}
{{ :homework:curve-fitting-d9s100.png?300 |}}


4. fit degree 9 curve in 10 samples but with regularization term 
{{ :homework:curve-fitting-d9s10r.png?300 |}}

===== Requirements =====
  - Programming lanuage: python
  - Optional package: tensorflow [[https://www.tensorflow.org|web]]
  - Plot the results in [[http://matplotlib.org/|matplotlib]][[http://www.ibm.com/developerworks/cn/linux/l-matplotlib/index.html|Introduction in Chinese]] [[http://www.ast.uct.ac.za/~sarblyth/pythonGuide/PythonPlottingBeginnersGuide.pdf|Tutorial]]

Applied Mathematics for Computer Science

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