iiinova — where your digital self keeps evolving

Reposted by Danny Wood

lynn @chordbug.bsky.social · 24/06/2026

fixed your headline

A hit song on the Billboard 100 charts is termed *$k$-good* if it is _ever_ in a weekly top-$k$, and *$k$-immediate* if it _debuts_ in the top-$k$.

An artist is *$(n,k)$-Olivian* if their $n$ first $k$-good hits are all also $k$-immediate.

*Headline 1.* Olivia Rodrigo is the first $(10,10)$-Olivian woman.

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Danny Wood @echostatements.bsky.social · 09/06/2026

Saying that theres no "i" in team used to mean you were a team player. Now it shows you're yet to embrace the full potential of AI.

A google search for the query 'How many times does the letter "i" appear in team'.

The result shows Google's AI overview saying the letter "i" appears exactly once in team.

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Reposted by Danny Wood

Trish Greenhalgh @trishgreenhalgh.bsky.social · 23/05/2026

Every summer I repost this article on how to spot drowning. Please read it and pass on. In the last few years I’ve had SIX messages from people who saved a kid’s life after clicking on the link from my feed. slate.com/technology/2...

slate.com

Drowning Doesn’t Look Like Drowning

Drowning is not the violent, splashing call for help that most people expect.

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Danny Wood @echostatements.bsky.social · 04/05/2026

I'd never heard of disappearing polymorphs until watching this video. It's mildly terrifying but well worth a watch www.youtube.com/watch?v=ksn5...

youtube.com

The Disaster I Never Imagined Having To Worry About

YouTube video by Veritasium

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Reposted by Danny Wood

Dropped Mike @rebrafsim.bsky.social · 15/03/2025

me: if z is the length of a slice and a is the area of the pie, then pi(zz)=a PhD advisor: this is what you’ve been working on for three and a half years?

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Danny Wood @echostatements.bsky.social · 09/03/2026

A nice article by Nicholas Carlini on writing great papers. A lot of the advice you can find elsewhere but the sections on collaborations and conclusions both had new insights for me. It also helps that I've really liked the papers of his that I've read nicholas.carlini.com/writing/2026...

nicholas.carlini.com

How to win a best paper award (or, an opinionated take on how to do important research)

An opinionated perspective on how to do important research that makes a difference (and sometimes win awards).

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Danny Wood @echostatements.bsky.social · 22/02/2026

A simple command line tool combining a crossword solver and anagram finder. A lot of online crossword solver tools felt unnecessary cumbersome to me, so I've tried to make this as lightweight and simple to use as possible github.com/EchoStatemen...

github.com

GitHub - EchoStatements/crossword-tools: Command Line Tools for Solving Cryptic Crosswords

Command Line Tools for Solving Cryptic Crosswords. Contribute to EchoStatements/crossword-tools development by creating an account on GitHub.

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Reposted by Danny Wood

Katie Mack @astrokatie.com · 07/02/2026

You know that thing where the farther something is, the smaller it looks? That doesn’t quite work in an expanding universe. It’s true for a while but after a certain point, more distant things (of the same size) start to look BIGGER because their light has been traveling since the cosmos was small 🙃

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Danny Wood @echostatements.bsky.social · 03/02/2026

Can we get LLMs to generate text that is perfectly typeset down to the very last character? In a new blog post, I show how using a constrained beam search, LLMs can efficiently generate perfect blocks of monospace text echostatements.net/posts/2026/0...

Image showing the transformation of the intro paragraph to the Hot Fuzz Wikipedia page into perfectly justified monospace text

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Danny Wood @echostatements.bsky.social · 01/02/2026

I've added the ability to create Delaunay triangulations to my Voronoi diagram generation Python library. The image generation takes a few seconds but I'm pleased with how easy it is to make pretty and varied outputs with it

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Reposted by Danny Wood

Jeremy Kun @jeremykun.com · 27/01/2026

TIL if you do Miller-Rabin with the first 12 prime bases, you have a fast, exact primarily test for all 64-bit integers. Cf. oeis.org/A014233 which gives the upper bound on the two-sided correctness of Miller-Rabin given that you tested on the first k bases.

oeis.org

A014233 - OEIS

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Danny Wood @echostatements.bsky.social · 23/01/2026

Tyre companies and their increasingly unhinged side projects, a thread:

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Danny Wood @echostatements.bsky.social · 25/11/2025

Suddenly, the explanation in Solo for how Han Solo got his full name doesn't seem quite so far-fetched

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Danny Wood @echostatements.bsky.social · 13/11/2025

This result was one of the foundational ideas built upon by what has since become by far my most cited paper, so I'm really happy to see a version on arXiv where it can hopefully be preserved for posterity

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Reposted by Danny Wood

Ben Brubaker @benbenbrubaker.bsky.social · 27/10/2025

I published a new post on my rarely updated personal blog! It's a sequel of sorts to my Quanta coverage of the Busy Beaver game, focusing on a particularly fearsome Turing machine known by the awesome name Antihydra.

benbrubaker.com

Why Busy Beaver Hunters Fear the Antihydra

In which I explore the biggest barrier in the busy beaver game. What is Antihydra, what is the Collatz conjecture, how are they connected, and what makes them so daunting?

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Danny Wood @echostatements.bsky.social · 26/10/2025

I'm a big fan of when counterexamples to intuitive sounding theorems are so convoluted that outside of mathematics, the kind of rules-lawyering needed to construct them would be considered pedantic or even rude youtu.be/pLgcZLysOFk?...

youtu.be

The Most Obvious Theorem in All of Mathematics

YouTube video by Metamorphic

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Danny Wood @echostatements.bsky.social · 21/10/2025

How do you make Minecraft spherical? A really fun read about all the problem solving that goes into transferring Minecraft gameplay onto a spherical world www.bowerbyte.com/posts/blocky...

bowerbyte.com

Blocky Planet — Making Minecraft Spherical

Discover the unique design challenges of creating a spherical planet out of Minecraft-like blocks.

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Danny Wood @echostatements.bsky.social · 20/10/2025

Really nice primer on double-descent and the bias-variance trade-off I'm impressed by the depth that Welch Labs consistently manages to pack into their videos without sacrificing the storytelling for a popular science audience www.youtube.com/watch?v=z64a...

youtube.com

What the Books Get Wrong about AI [Double Descent]

YouTube video by Welch Labs

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Danny Wood @echostatements.bsky.social · 14/10/2025

Since @spmontecarlo.bsky.social shared a post about Crinkled Arcs a couple of weeks ago, I've spent a fair bit of time digging into them This new blog post attempts to collect what I found into an interactive introduction to crinkled arcs and their relationship to Brownian Motion

echostatements.github.io

Crinkled Arcs And Brownian Motion

A crinkled arc is a continuous curve that appears as if it is making right-angle turns at every point along its trajectory. Additionally, if you draw a straight line between two recent points and comp...

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Danny Wood @echostatements.bsky.social · 11/10/2025

A surprisingly intuitive and practical use for limit ordinals (assuming you have an infinite chess board handy) youtu.be/CQ4Ap5itTX4?...

youtu.be

Mate-in-Omega, The Great Phenomenon of Infinite Chess

YouTube video by Naviary

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Reposted by Danny Wood

Keenan Crane @keenancrane.bsky.social · 06/09/2025

“Everyone knows” what an autoencoder is… but there's an important complementary picture missing from most introductory material. In short: we emphasize how autoencoders are implemented—but not always what they represent (and some of the implications of that representation).🧵

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Clément Canonne @ccanonne.github.io · 14/08/2025

Does anyone have a good reference for paradoxes in set theory? I'm looking for something self-contained.

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Danny Wood @echostatements.bsky.social · 07/08/2025

Looking at the code in Hugging Face's library for the new GPT models, I was a bit disappointed by how similar they are to Llama & Mistral models, but there is one cool trick I hadn't seen before: attention sinks. These are a mechanism by which attention heads can say "I don't have anything to add"

The code for the attention mechanism in the `transformers` implementation of gpt_oss

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Danny Wood @echostatements.bsky.social · 22/07/2025

A little etymological fact that I like is that "lemma" and "dilemma" are from the same ancient Greek origin If you translate "lemma" as meaning a proposition, a dilemma is literally having two propositions to consider

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Danny Wood @echostatements.bsky.social · 18/07/2025

Siamese neural networks are a neat way of doing one-shot/few-shot classification but there's something about the way they're usually implemented that felt a bit inefficient to me Here are a couple of relatively simple tricks you can do to speed up training Siamese networks by 2.5x! 1/9 🧵

A graph comparing faster model + faster training vs classic model + classic training, and the other two combinations. Faster Model/faster training shows a 2.5x speed up vs classic model/classic training

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Michael Kirchhof @mkirchhof.bsky.social · 08/05/2025

Aleatoric and epistemic uncertainty are clear-cut concepts, right? ... right? 😵‍💫 In our new ICLR blogpost we let different schools of thought speak and contradict each other, and revisit chatbots where “the character of aleatory ‘transforms’ into epistemic” iclr-blogposts.github.io/2025/blog/re...

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Danny Wood @echostatements.bsky.social · 04/04/2025

I would never have guessed it was even possible to make things this beautiful in matplotlib

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