Oh yes. Numerical underflow is such a common problem when you're training machine learning algorithms. If you don't understand floating point numbers not only

Oh yes. Numerical underflow is such a common problem when you're training machine learning algorithms. If you don't understand floating point numbers not only will you get inaccurate results, you won't be able to troubleshoot why. Understanding the difference between time and space trade offs for floats and doubles (this is why even something as high level as numpy allows you to specify floats/doubles as a datatype) will not only allow you to trouble shoot things, but it will make your life a lot easier when debugging.