Math

A comprehensive deep dive into the mathematical foundations and algorithms of modern vector search, including HNSW, DiskANN, Quantization, and the Curse of Dimensionality.

Of great use to physics, including one of the promising paths towards quantum computers, is the ion trap. Though there are various models in use, we focus here on Paul-style models. To do so, we need to understand Mathieu’s equations and their corresponding solutions in enough detail to grasp the function of the Paul ion trap. In this report, we explore the behavior of Mathieu’s equation and its solutions for the Paul ion trap.

In this first part in a multipart series, we build a little model LLM that can construct basic phrases and display the effects of temperature. This first version doesn’t use neural networks but does demonstrate some fundamentals of LLM terminology.

A look at how Bayesian statistics can help us understand ways to make decisions (in the context of COVID-19 rapid test accuracy). This post will introduce concepts related to Bayesian statistics, but may still be interesting to individuals already familiar with the topic.