### NTK reparametrization

I’ve been learning about the neural tangent kernel and some things confused me.

### Kate from Vancouver, please email me

You replied to my dissection post and I decided then that I wished to be your friend. You didn’t leave your email, but asked how old I was in earth years. My email is alokbeniwal@gmail.com, please reach out if you see this.

### ChatGPT Session: Emotions, Etymology, Hyperfiniteness

List as many emotions as you can. Then list their etymologies

### Some ChatGPT Sessions

No particular theme. Quoted text is me, rest is GPT.

### 2016 ML thoughts

(Old notes from 2016 that I stumbled upon).

### My biggest takeaway from Redwood Research REMIX

I just finished a 1 month research program called REMIX (Redwood Research Mechanistic Interpretability Experiment).

### finite, actual infinity, potential infinity

For a finite set, one can describe a uniform distribution. There isn’t a natural way to do so for a countable set. But for a hyperfinite set, one can describe a uniform distribution through a probability density. So in some ways the countable is “bigger”.

### Actions and Flows

What is an action?

### PSA: reward is part of the habit loop too

The usual setup of a habit is

### a kernel of lie theory

just like how infinitesimals are useful because they’re indiscernible from 0, but have the advantage of being able to be divided by.

### The hyperfinite timeline

Take an interval. Cut it into H pieces, where H is hyperfinite. This serves as the index set of a stochastic process, among many other uses. Imagine that for each of the H steps, you flip a coin to get -1 or +1. Then move an infinitesimal distance left or right based on the sign. This is Brownian motion. Each infinitesimal piece of the timeline is profitably thought of as a Planck time.

### Slick hyperfinite Ramsey theory proof

## Blog power laws

### Gaoxing Guy

August 2016: Jiuzhaigou, Sichuan Province, China[^maybe it should be timespace instead of spacetime, better to put the time first, what if the place identifier no longer exists? Plus timestamps are orderable.]

### A Prince, a Pauper, Power, Panama

Instrumental convergence is an issue I think about a lot because it’s so natural. Being rich and powerful almost never works against you.

### Braindead Way to Derive Taylor Series of Exponential Function

\(e^x\) was first defined by a formula for continuous compound interest: