Understanding Analysis

The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics. -G.H. Hardy

Message-Passing Networks

Graph Neural Networks (GNNs) have been cropping up everywhere in literature. They're a pretty neat concept, after all; graphs have wide coverage when it comes to encoding real-world data, so GNNs should, in theory, be very versatile models. But what exactly do they *do*? Why do they work? These are questions that we will explore in this post.

Polynomial Interpolation

Cursory introductions to AI/ML often reference the black box—that is, the notion of a function whose inner workings are uninterpretable—in describing machine learning models. They're not wrong; we truly don't understand how and why these models work—and not without reason.

Hello World

This is a placeholder post for myself to use while I design the page style. Here's a simple equation: Here's an equation with more parts: Here's a matrix: Here's a code block with syntax highlighting for Python. Now, here's some text. Get ready for a lot of lipsum! Lorem ipsum dolor sit amet, consectetur adipiscing elit.