Sampling at negative temperature
Summary : Inspired by the definition of temperature in statistical mechanics and the possibility for it to be below zero, we try sampling LLaMA at T = − 0.001 T=-0.001 T = − 0.001 . The results are maximally weird.
Summary : Inspired by the definition of temperature in statistical mechanics and the possibility for it to be below zero, we try sampling LLaMA at T = − 0.001 T=-0.001 T = − 0.001 . The results are maximally weird.
What is so special about the number 19?
Copyright (C) 2010-2012, Dell, Inc . You are permitted to copy and distribute material from this book provided (1) any material you distribute includes this license, (2) the material is not modified, and (3) you do not charge a fee or require any other considerations for copies or for any works that incorporate…
Stripe Across is a grog. We hope you enjoy it.
How TurboQuant compresses the KV cache without losing accuracy, and what that could mean for memory stocks
[This is a guest post by Karthik C. S., Amit Sahai, and Jie Xue. This blog post was initially written in a different file format and converted using AI. — T.] This is a good time for mathemat…
In recent months there has been a proliferation of AI-generated proofs of various old and new results, some of which have been formalized in the proof assistant language Lean. However, checking tha…
I recently saw an interesting YouTube video by “Physics for the Birds”. The main video is about matrixes, but he used flags to explain some of the operations on matrixes:
Monte Carlo simulations (or methods ) is the technique of applying randomness and the Law of large numbers to the solution of various scientific and engineering problems. One of its first documented uses was by Stanislaw Ulam and John von Neumann for nuclear weapon simulations after WWII [1] .
What statistics can teach us about observing 3 deaths at Burning Man in 2026.
Another interesting way to graphically derive the Golden Ratio using an equilateral triangle inscribed in a circle and the chord which passes through the midpoints of the sides of the equilateral triangle.
Why the HJB is Bellman's equation in continuous time, why continuous time matters, and how to solve the resulting control problem with neural policy iteration.
We have been using Signals in production for years via several modern front-end frameworks like Solid, Vue, and others, but few of us are able to explain how they work internally. I wanted to dig into it, especially diving deep into the push-pull based algorithm, the core mechanism behind their reactivity.
Interactive ternary chart of citrus ancestry
A high-performance and high-level purely functional data-parallel array programming language that can execute on the GPU and CPU.
[This is a guest post by Álvaro Lozano-Robledo. This blog post was initially written in a different file format and converted using AI. — T.] TL;DR: Keep calm and carry on studying math. I wo…
[This is a guest post by the Advisory Group on Mathematics and Artificial Intelligence. This blog post was initially written in a different file format and converted using AI. — T.] We would …
A deep dive on flow maps.
[This is a guest post by Silvia De Toffoli and Eamon Duede. This blog post was initially written in a different file format and converted using AI. — T.] Silvia De Toffoli (University School …
When developing software to run in a Unix environment, you will often be able to use the same system features and benefit from good developer tools, regardless of the particular platform you're working on, as most processors will provide a rich instruction set and virtual memory, among other things.
The missing chapter of Hacker's Delight
Foundations: Games, Rationality, and Traps In organizations, strategies and execution are interdependent. Outcomes depend not just on what you do, but on what others do, and what they expect you to…
Since AlphaZero, lc0-style chess engines have been trained with RL. Specifically, you have the engine (search + model) play itself a bunch of times, and train the model to predict the outcome of the game.
Jean-Pierre Serre is a French mathematician who has made important contributions to algebraic topology, algebraic geometry, and algebraic number theory. He was a member of Bourbaki.
Ok, this one is really best explained with a visualiser:
Nicholas Polson has, by my count using his SSRN page, already written 258 working papers in 2026 alone. He’s already written (or at least published to SSRN), six papers today, August 26, 2026.
Jim Calabro
I am proud to be among the list of 25 initial signatories — all Fields Medallists — to the declaration below, which grew out of discussions between ourselves over the last week. We have…
[This is a guest post by Francesco Maggi. This blog post was initially written in a different file format and converted using AI. — T.] Large language models (LLMs) and the research systems b…