Viewing profile — dbranes

Nice to see Jared Kaplan branching out into ML. He did fundamental work on CFTs/bootstrap in physics.

No part of this comment answers my question.

Can you state what's the mechanism that makes it fast? Is this a breakthrough in rendering optimizations or does it introduce smarter data structures? Or is it an accumulation of s…

Cool, but this seems to contain very few illustrations.

It looks like she wants to talk about symmetric monoidal categories, not just monoidal categories, for that’s where the calculus of string diagrams is actually useful. Tensor categ…

Genuinely tried reading the "examples" you wrote in this thread, can't make any sense out of it. Happy to discuss it if you clarify what you mean. Just to address your original com…

(the embedding is full & faithful)

The category of sets embeds into the category of topological spaces as a full subcategory, the essential image of which are the discrete spaces. Hence the equivalence I claimed is …

As you observe one can't really recover any non-trivial number theoretic things by looking at integers with the discrete topology. The theory of discrete topological spaces is just…

What a confusing name in an era where homotopy-theoretic methods in arithmetic geometry are flourishing. Looks Hatcher covers non of that and use "topology" to mean "geometrically …

Some context would be nice as this (very nice library) has been around for a while: was there a new release? What are we supposed to be looking for Here?

Ugh, I'm cringing a little that they consider adjunctions 'advanced mathematics'. Adjunctions are ubiquitous even in elementary math. For example, in linear algebra whenever one wr…

Tangent: I like that the logo for the organization 'adjoint' resembles the notation for adjoint functors.

Yes absolutely. Given a matrix as an array of numbers there's a number of natural ways to interpret it as a tensor. What are you uncomfortable about?

Sorry this is just wrong. Maybe you’re trying to get at the “co/contravariant” properties of tensors, in which case your statement can be more clearly stated as, e.g., the space ra…

Had to scroll down the page for a while before understanding the point of this: drag-and-drop data transformation pipelines that comes with app integrations at both ends. It’s a gr…

Not an answer but a general comment on learning languages: instead of setting your goal as “to learn as much of a languageas possible”, instead you can go for “I want to be able to…

As someone with a high energy theory background but has only read titles/headlines about this time crystal business, can you give a precise TL;DR on what a time crystal is?

Love the idea - looks like a well-thought-out and much needed abstraction. The way I’d pitch it is that it allows one to create UI in a completely declarative and stateless manner.…

pretty sure that’s a windows thing, compare with the screenshot of current cheome in the article.

To each their own, but I’d hate the firefox-style scrolling tabs UI suggested by the article. 1. I don’t want to be surprised to find some old tab hidden by the scroll. 2. Id like …

This is excellent. Amazing (equation + picture)/text ratio. Complaint: you don't define your notion of "space". In chapter 1 it's some informal notion that you use to motivate the …