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The most popular blog posts about math & algorithms on Hacker News. 2,394 posts.
Gaussian Processes have a mystique related to the dense probabilistic terminology that's already evident in their name. But Gaussian Processes are just models, and they're much more like k-nearest neighbors and linear regression than may at first be apparent.
Paul Khuong's personal blog. Some Lisp, some optimisation, mathematical or computer.
I’m a great believer in low-tech math. I don’t like to rely on things a computer tells me; what if there’s a bug in the code? I prefer trusting things that I can check for myself. At the same…
Some further comments into the recent claimed proof that P is not equal to NP Yuri Manin is a great mathematician, who has worked in various areas and also is well known for his many excellent expo…
It's a justifiable copout, but it's still a copout.
There are very few universal rules in software engineering, but there are are a lot of near-universal principles. Things like "prefer composition to...
One of my favourite Limited Audience Jokes (although technically it's actually a riddle) goes:
Final exam from Dr. Stuart Daggett's Harvard economics course on Railroad Practice taught in 1906-07.
This post is an offshoot from Chapter 1 of Probably Overthinking It, which is available for pre-order now! Suppose you measure the arm and leg lengths of 4082 people. You would expect those measurements to be correlated, and you would be right. In the ANSUR-II dataset, among male members of the armed forces, this…
The word "kayak" is a palindrome, but it isn't visually symmetric. The word "bud" is visually symmetric, but not a palindrome.
This post is actually about artificial intelligence, and argues a position that many AI researchers will disagree with. Specifically, it arg...
An “optimizer” should really be called an “improver”, and a “superoptimizer” should be called an “optimizer” 🙂
If you would follow the road to linear algebra here are some trustworthy signposts.
Stephen Wolfram shares a glimpse into his conversations with Solomon Golomb, developments on shift registers, polyominoes, scientific contributions.
I’ve been working on some other blog posts, including a conclusion of (or at least an installment in) this exciting series on zero knowledge proofs. That’s coming soon, but first I want…
INTRODUCTION TO DIGITAL FILTERS WITH AUDIO APPLICATIONS
One bad thing about archeologists is that some of the successful ones get a big head. People used to think the Olmecs, who made these colossal stone heads, were contemporary with the Mayans. But in…
I find myself writing yet another toy parser, as one does during a Christmas break. It roughly follows Resilient LL Parsing Tutorial. Not because I need resilience, but mostly because I find producing a syntax tree and a collection of diagnostics a more natural fit for the problem than bailing out on the first error.
In the previous chapter, we assumed that we can uniformly randomly sample our domain. However, it’s not obvious how to actually do so—in fact, how can a deterministic computer even generate random numbers? 1
Classical CPU architecture is a poor choice for performing matrix-oriented computations. Developers have to spend much effort to create efficient algorithms even for the problems appearing trivial on the surface. Matrix transpose is probably the most striking representative of such problems. It exposes numerous…
[This is a guest post by Kate Stange and Edmund Harriss. This blog post was initially written in a different file format and converted using AI. — T.] In January a group of mathematicians, hi…
This article was originally published in the Russian functional programming journal http://fprog.ru/ and this translation was intended to be published in Peter Seibel’s http://codequarterly.com/ journal, but as Peter eventually decided not to proceed with the journal, I am publishing it on my personal space.
A blog about life, programming, math, logic, and physics.
In the early 1930s, Pascual Jordan attempted to formalise the algebraic properties of Hermitian matrices. In particular: Hermitian matrices form a real vector space: we can add and subtract Hermiti…
In this post I'm going to explore how a mathematical concept can be redefined in progressively more computer-oriented terms, all the way from high level languages down to machine code, ready for direct execution by a computer. To that end, I'm going to define the same logic in several different but related formats:
Introduction In this blog post you are going to read about two things:
Redirecting to https://www.mukeshmithrakumar.com/blog/deep-learning-with-tf2-probability-and-information-theory/ .
To denote the subsequence of natural numbers 2, 3, ..., 12 without the pernicious three dots, four conventions are open to us
The short, simple answer used in calculus courses is that a real number is a point on the number line . That's not the whole truth, but it is adequate for the needs of freshman calculus. The freshman calculus course (at most universities nowadays) follows the 17th century style of Newton and Leibniz, emphasizing…
