From linear algebra to machine learning
[EuroPython 2018 – Talk – 2018-07-27 – Fintry [PyData]]
[Edinburgh, UK]

By Omar Gutiérrez

Math is a crucial skill for people who are interested in Data Science and Machine Learning. Until now, most of the people who are doing Data Science have a strong background in math, usually, people with master or Ph.D. degrees.

However, this fact seems to change in the next years, after the hype of Machine Learning we are facing a process of democratization. Now the door of Data Science is open for everyone.

To truly madly deeply understand how the machine learning algorithms work we need to understand some mathematical concepts. In this tutorial, I would like to share my experience in the process of learning some of those concepts.

What I want to do is build a bridge between those concepts and Python, more specifically, SciPy and NumPy and TensorFlow. Basically is just another tutorial about vectorization, in this case, oriented to understand and implement machine learning algorithms and the mathematical foundation that supports it.

Outline

Review of linear algebra: A brief review of essential linear algebra, concepts and the explanation with NumPy: scalars, vectors, matrices, tensors, multiplication of vectors, inner products, vector spaces, etc.
Review of machine learning: A brief review of essential machine learning, concepts that are related to mathematical concepts: dimensionality reduction, principal component analysis, etc.
Optimization: Analytical vs. numerical solutions. This part has too many formulas, well, not too many.
Vectorization: Numpy and TensorFlow.
Small practical cases:

I want to show how we can solve the XOR problem with only one neuron
Explain the math behind recurrent neural networks.

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Amazing, Life Changing Tutor
Before I met Jonathan, I was struggling through most of my STEM classes because I was simply not studying properly. He taught me all kinds of new study habits that would help me to save time, raise my grades, and lower my stress. Jonathan was specifically tutoring me in vector calculus and is an amazing tutor on the subject. You will walk away from a lesson with a game plan knowing exactly what you need to do before your next session with him or before your next exam in order to do well in the course. I highly recommend him as a tutor.