You have to make sure that you're building on a steel frame of understanding, because you're putting together the foundation for a skyscraper.

Naval Ravikant

Transformers are (actually) Kernel Smoothers

I attempt to share some learnings from Tsai et al. (2019) connecting the Attention Mechanism to Nadaraya-Watson Kernel Smoothing (1964).

Visualizing the Self-Attention Mechanism

I attempt to construct a geometric understanding of how Self-Attention works in Large Language Models.

Gaussian Copula Models

I attempt to explain the concept of Gaussian Copulas as simply as possible.

Hessian Matrices for Convex Optimization

I try to construct a geometric intuition for why Hessian matrices must be Positive Semi-Definite in convex optimization.

An Intuition of Singular Value Decomposition

I attempt to construct a geometric understanding of how SVD works, by building upon previous posts about spectral decomposition and various transformation matrices.

An Intuition of Eigenvalue (Spectral) Decomposition

I attempt to construct a geometric understanding of how eigendecomposition works.

How I learned the Fourier Transform intuitively

I write about (what I think is) an intuitive way to learn about the Fourier Transform, and share some excellent resources.

Visualizing some essential transformation matrices

I write about some essential matrix transformations that help build an understanding of matrix multiplication as a composition of matrix transformations.

The Kernel Trick

I write about the kernel trick and show an informal derivation when applied to a regularized least squares example

Basis Functions in Linear Regression Models, with an OLS example

I give an overview of how basis functions are used in linear regression models. Then, I derive the solution to an OLS problem with basis functions involved.

A Revision of Linear Algebra

I share my revision on basic linear algebra, and attempt to construct a geometric intuition based on 3B1B's teaching material.

An Introductory Post

I share some context for the blog here.