Ax=b: The Jack of all Trades

$Ax=b$, seems so simple right ? To find $x$ just compute $A^{-1}b$, and most math libraries will give you the answer. But, every linear algebra student knows the real pain behind this nightmare equation :( The problem with this equation is that $x=A^{-1}b$ won’t work for all possible values of $A$ and $b$. So, there are like a ton of boundary conditions to consider inorder to find the right solution for $x$. And, the entirety of modern machine learning revolves around this idea. ...

February 4, 2026 · 14 min · Renny Harlin

Probability Distributions

This article is part of a series on Math for Machine Learning, follow along to learn more about some of the math involved with ML This is a concept that you study once, and expect to remember it for life. But fate has it, you really cannot. I’ve been out in this cycle for over 2 years. So, now finally I’m nailing this concept down in my blog. What is a random variable ? First of all, nothing about a random variable is random :) ...

January 30, 2026 · 5 min · Renny Harlin