Linear Algebra: Creating Vectors from Features

(C) 2018 by Damir Cavar

Version: 1.0, January 2018

This is a tutorial related to the L665 course on Machine Learning for NLP focusing on Deep Learning, Spring 2018 at Indiana University.

The following material is based on Linear Algebra Review and Reference by Zico Kolter (updated by Chuong Do) from September 30, 2015. This means, many passages are literally copied, many are rewritten. I do not mark sections that are added or different. Consider this notebook a extended annotation of Kolter's (and Do's) notes. See also James E. Gentle (2017) Matrix Algebra: Theory, Computations and Applications in Statistics. Second edition. Springer. Another good resource is Philip N. Klein (2013) Coding the Matrix: Linear Algebra through Applications to Computer Science, Newtonian Press.

See for the introduction the Notebook "Linear Algebra".

Creating Vectors from Features

When processing language and linguistic information using Linear Algebra, we need to map language properties and linguistic features on vectors with scalars of real values.

Examples:

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