Tootfinder

Mira Murati's Thinking Machines Lab makes Tinker, its API for fine-tuning language models, generally available, adds support for Kimi K2 Thinking, and more (Thinking Machines Lab)
https://thinkingmachines.ai/blog/tinker-general-availability/

Tinker: General Availability and Vision Input
Today we are announcing four updates to Tinker: No more waitlist New reasoning model: Kimi K2 Thinking New inference interface that is compatible with the OpenAI API Vision input support with Qwen3-VL General availability The waitlist is over! Everybody can use Tinker now; sign up here to get started. See the Tinker homepage for available models and pricing, and check out the Tinker cookbook for code examples. More reasoning with Kimi K2 Thinking Users can now fine-tune Kimi K2 Thinking on Ti…

From Abelianization to Tangent Categories
Sacha Ikonicoff, Jean-Simon Pacaud Lemay, Tim Van der Linden
https://arxiv.org/abs/2510.12324 https://arxiv.org/p…

From Abelianization to Tangent Categories
A tangent category is a category with an endofunctor, called the tangent bundle functor, which is equipped with various natural transformations that capture essential properties of the classical tangent bundle of smooth manifolds. In this paper, we show that, surprisingly, the category of groups is a tangent category whose tangent bundle functor is induced by abelianization and whose differential bundles correspond to abelian groups. We generalize this construction by introducing the concept of…

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Constant Pinteaux, Gijs M. Tuynman
https://arxiv.org/abs/2510.10247 https://

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Given a submanifold $M\subset \mathbf{R}^ν$, a curve $γ:I\to M$ and tangent vectors $v$ along $γ$, we roll the tangent space along $γ$. In doing so, we get an imprint of $γ$ on the tangent space, as well as an imprint of tangent vectors. We show that $γ$ is a geodesic on $M$ if and only if this trace/imprint on the (affine) tangent space is a straight line and that $v$ is a set of parallel vectors if and only if their imprint on the tangent space is constant. In other words, in the view o…

🇺🇦 #NowPlaying on KEXP's #MidnightInAPerfectWorld
The Magnetic Fields:
🎵 Sad Little Moon
#TheMagneticFields
https://themagneticfields.bandcamp.com/track/sad-little-moon
https://open.spotify.com/track/5vCilUgr2rpyklEUE0jcDA

Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Shouren Wang, Wang Yang, Xianxuan Long, Qifan Wang, Vipin Chaudhary, Xiaotian Han
https://arxiv.org/abs/2510.12680

Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Hybrid thinking enables LLMs to switch between reasoning and direct answering, offering a balance between efficiency and reasoning capability. Yet our experiments reveal that current hybrid thinking LLMs only achieve partial mode separation: reasoning behaviors often leak into the no-think mode. To understand and mitigate this, we analyze the factors influencing controllability and identify four that matter most: (1) larger data scale, (2) using think and no-think answers from different questio…

Tencent Music reports Q3 revenue up 20.6% YoY to $1.19B, online music services revenue up 27.2% YoY to $979M, and subscription revenue up 17.2% YoY to $632M (Naman Ramachandran/Variety)
https://variety.com/2025/music/news/tencent-music-q3-revenue-2025-1236577827…

Tencent Music Entertainment Reports 27% Revenue Growth in Q3
China's Tencent Music Entertainment Group reported strong Q3 financial results, with online music service revenues climbing 27.2% to $979 million.

Maybe a good opportunity to illustrate the purpose of one of the more uncommon packages in #ThingUmbrella: The https://thi.ng/hex package provides hexadecimal formatters for a variety of word sizes (4-64 bits) and also a…

Apple einigt sich mit WeChat, erlaubt Mini-Apps gegen Provision
Apple hat sich nach langen Gesprächen mit der WeChat-Mutter Tencent auf eine Provision auf Transaktionen in Mini-Apps geeinigt. Sie gilt auch für andere Devs.

Always fun/challenging to read new AI (pre)papers like this. "Base models know how to reason, thinking models learn when".
#AI #Google #reasoning

Extending Thomassen's conjecture to directed graphs
Micha Christoph, Barnab\'as Janzer, Kalina Petrova, Raphael Steiner
https://arxiv.org/abs/2510.11311 https://

Extending Thomassen's conjecture to directed graphs
A famous conjecture by Thomassen from 1983 asserts that for any given $k,g\in \mathbb{N}$ there exists some $d=d(k,g)\in \mathbb{N}$ such that every graph of minimum degree at least $d$ contains a subgraph of minimum degree at least $k$ and girth at least $g$. In this paper, we initiate the systematic study of the directed analogs of Thomassen's conjecture one obtains when replacing minimum degree by minimum out-degree. Concretely, we study which digraphs $F$ are avoidable in the sense that the…