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Anil Kumar

@otter.bsky.social

I am a messenger.

41 Posts201 Follower1255 Folgt
Gro-Tsen@gro-tsen.bsky.social · 2w ago

Here 🧵⤵️ is an attempt at slightly expanding what the super simple description of the counterexample to the Jacobian conjecture means, originally written in reply to @tucek.bsky.social on the Musky place. I assume knowledge of what projective space and homogeneous coordinates are. •1/12

Screenshot of a tweet by Andy Jiang, dated 2026-07-20. Text reads: « GPT: Take π: P¹ × Sym²(P¹) → Sym³(P¹), (p, {q,r}) ↦ {p,q,r}. R be its ramification divisor; H ⊂ Sym³(P¹) ≅ P³ be hyperplane tangent but not osculating to the small diagonal; X := (P¹ × Sym²(P¹)) \ (R ∪ π⁻¹(H)) ≅ A³; Y := Sym³(P¹) \ H ≅ A³. π|X: X → Y is counterexample »
Gro-Tsen@gro-tsen.bsky.social · 2w ago

Now this is, like, SUPER EMBARRASSING for anyone who studied the Jacobian conjecture. 🤣 The counterexample written with an explicit formula looked messy, but for any algebraic geometrist this description 🔽 is hilariously simple. This is in “HOW did we miss this” territory?

Anil Kumar@otter.bsky.social · 4mo ago

A shared code for perceiving and imagining objects in human ventral temporal cortex | Science www.science.org/doi/10.1126/...

A shared code for perceiving and imagining objects in human ventral temporal cortex

Mental imagery allows us to remember previous experiences and imagine new ones. Animal studies have yielded rich insight into mechanisms for visual perception, but the neural mechanisms for visual imagery remain poorly understood. We determined that ...

science.org

Dustin Moskovitz@moskov.goodventures.org · 6mo ago

Hmm ok, well not to throw a spanner in, but I'd bet pause comes into the overton window this year, even if it's not possible. Dario and Demis literally just said it at Davos. I have a diagram I'll share with you that demonstrates why...

Anil Ananthaswamy@anilananth.bsky.social · 7mo ago

I'm starting a Substack newsletter, WHERE MACHINES THINK (just imagine scare quotes around the word think, to maintain appropriate skepticism). The welcome post is here: wheremachinesthink.substack.com/p/welcome-to...

Welcome to WHERE MACHINES THINK

Exploring and understanding the mathematical spaces that enable artificial (and maybe natural) intelligence. Essays and analyses at the intersection of machine learning, neuroscience and physics

wheremachinesthink.substack.com

Vaishnavh Nagarajan@vaishnavh.bsky.social · 7mo ago

1/ We found that deep sequence models memorize atomic facts "geometrically" -- not as an associative lookup table as often imagined. This opens up practical questions on reasoning/memory/discovery, and also poses a theoretical "memorization puzzle."

PyCon UK@pyconuk.org · last yr.

🚨 Heads up, Pythonistas 🚨 Something exciting is coming and you won’t want to miss it...PyCon UK 2025 Call for Proposals is opening soon! 🚀🐍 If you've got an idea for a talk, a workshop, or a Young Coders' session, we want to hear from you! 📝✨ 👀 Stay tuned 👀 #PyConUK2025 #python #development #CFP

Badr AlKhamissi@bkhmsi.bsky.social · last yr.

🚨 New Preprint!! LLMs trained on next-word prediction (NWP) show high alignment with brain recordings. But what drives this alignment—linguistic structure or world knowledge? And how does this alignment evolve during training? Our new paper explores these questions. 👇🧵

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Peyman Milanfar@docmilanfar.bsky.social · 2y ago

There’s a single formula that makes all of your diffusion models possible: Tweedie's Say 𝐱 is a noisy version of 𝐮 with 𝐞 ∼ 𝒩(𝟎, σ² 𝐈) 𝐱 = 𝐮 + 𝐞 MMSE estimate of 𝐮 is 𝔼[𝐮|𝐱] & would seem to require P(𝐮|𝐱). Yet Tweedie says P(𝐱) is all you need 1/3

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Andrew MacAskill@macaskillaf.bsky.social · 2y ago

Huge congrats to @karyna-mi.bsky.social for her paper published today in Science! She found that the hippocampus is really important for a key strategy we use to make decisions called hidden state inference! 🧪 🧠https://www.science.org/doi/10.1126/science.adq5874 1/7

Hidden state inference requires abstract contextual representations in the ventral hippocampus

The ability to use subjective, latent contextual representations to influence decision-making is crucial for everyday life. The hippocampus is hypothesized to bind together otherwise abstract combinat...

science.org