# Archive | Linear Algebra ## Face Recognition using Principal Component Analysis

Recent advance in machine learning has made face recognition not a difficult problem. But in the previous, researchers have made various attempts and developed various skills to make computer capable of identifying people. One of the early attempt with moderate success is eigenface, which is based on linear algebra techniques. In this tutorial, we will […] ## Using Singular Value Decomposition to Build a Recommender System

Singular value decomposition is a very popular linear algebra technique to break down a matrix into the product of a few smaller matrices. In fact, it is a technique that has many uses. One example is that we can use SVD to discover relationship between items. A recommender system can be build easily from this. […] ## A Gentle Introduction to Vector Space Models

Vector space models are to consider the relationship between data that are represented by vectors. It is popular in information retrieval systems but also useful for other purposes. Generally, this allows us to compare the similarity of two vectors from a geometric perspective. In this tutorial, we will see what is a vector space model […] ## Principal Component Analysis for Visualization

Principal component analysis (PCA) is an unsupervised machine learning technique. Perhaps the most popular use of principal component analysis is dimensionality reduction. Besides using PCA as a data preparation technique, we can also use it to help visualize data. A picture is worth a thousand words. With the data visualized, it is easier for us […] ## How to Set Axis for Rows and Columns in NumPy

NumPy arrays provide a fast and efficient way to store and manipulate data in Python. They are particularly useful for representing data as vectors and matrices in machine learning. Data in NumPy arrays can be accessed directly via column and row indexes, and this is reasonably straightforward. Nevertheless, sometimes we must perform operations on arrays […] ## What Is Argmax in Machine Learning?

Argmax is a mathematical function that you may encounter in applied machine learning. For example, you may see “argmax” or “arg max” used in a research paper used to describe an algorithm. You may also be instructed to use the argmax function in your algorithm implementation. This may be the first time that you encounter […] ## Basics of Mathematical Notation for Machine Learning

You cannot avoid mathematical notation when reading the descriptions of machine learning methods. Often, all it takes is one term or one fragment of notation in an equation to completely derail your understanding of the entire procedure. This can be extremely frustrating, especially for machine learning beginners coming from the world of development. You can […] ## Linear Algebra for Machine Learning (7-Day Mini-Course)

Linear Algebra for Machine Learning Crash Course. Get on top of the linear algebra used in machine learning in 7 Days. Linear algebra is a field of mathematics that is universally agreed to be a prerequisite for a deeper understanding of machine learning. Although linear algebra is a large field with many esoteric theories and […] ## Computational Linear Algebra for Coders Review

Numerical linear algebra is concerned with the practical implications of implementing and executing matrix operations in computers with real data. It is an area that requires some previous experience of linear algebra and is focused on both the performance and precision of the operations. The company fast.ai released a free course titled “Computational Linear Algebra” […] ## Linear Algebra for Deep Learning

Linear algebra is a field of applied mathematics that is a prerequisite to reading and understanding the formal description of deep learning methods, such as in papers and textbooks. Generally, an understanding of linear algebra (or parts thereof) is presented as a prerequisite for machine learning. Although important, this area of mathematics is seldom covered […]