Tootfinder

'murcans: I can't make it to protests today (health issue) but please go to there in numbers.
https://www.nokings.org/#map

Metropolitana VII - Markings 💮
城 VII - 印记 💮
📷 Pentax MX
🎞️ Ilford Pan 100
#filmphotography #Photography #blackandwhite

Predictions: how is Trump going to react? Pooh-pooh all the criticism, pretend it's a storm in a teacup, or completely melt-down?
He doesn't normally get blowback from his own side.
https://www.rawstory.com/rob-reiner-2674400641/

Piers Morgan leads charge as massive right-wing backlash hits Trump over Rob Reiner
A number of influential right-wing figures are outraged after President Donald Trump issued a “disgusting” attack on Hollywood icon Rob Reiner just hours after the discovery of the director's and his wife’s deaths, which law enforcement is investigating as a homicide.“Disgusting statement,” wrote Ro...

A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
Kahori Komak, Ryohei Miyadera, Aoi Murakami
https://arxiv.org/abs/2510.11767 https://

A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
In this paper, we study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from one or both piles. When removing stones from both piles, an equal number must be removed from each. The player who removes the last stone or stones is the winner. Equivalently, we consider a single chess queen placed somewhere on a large grid of squares. Each player can move the queen toward the upper-left corner of the…

On the Role of Temperature Sampling in Test-Time Scaling
Yuheng Wu, Azalia Mirhoseini, Thierry Tambe
https://arxiv.org/abs/2510.02611 https://arxiv.org/pdf…

On the Role of Temperature Sampling in Test-Time Scaling
Large language models (LLMs) can improve reasoning at inference time through test-time scaling (TTS), where multiple reasoning traces are generated and the best one is selected. Prior work shows that increasing the number of samples K steadily improves accuracy. In this paper, we demonstrate that this trend does not hold indefinitely: at large K, further scaling yields no gains, and certain hard questions remain unsolved regardless of the number of traces. Interestingly, we find that different …

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Collaboration, Blot, Tanidis, Ca\~nas-Herrera, Carrilho, Bonici, Camera, Cardone, Casas, Davini, Di Domizio, Farrens, Goh, Beauchamps, Ili\'c, Joudaki, Keil, Le Brun, Martinelli, Moretti, Pettorino, Pezzotta, Sakr, S\'anchez, Sciotti, Tutusaus, Ajani, Crocce, Fumagalli, Giocoli, Legrand, Lembo, Lesci, Girones, Nouri-Zonoz, Pamuk, Pourtsid…

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Extracting cosmological information from the Euclid galaxy survey will require modelling numerous systematic effects during the inference process. This implies varying a large number of nuisance parameters, which have to be marginalised over before reporting the constraints on the cosmological parameters. This is a delicate process, especially with such a large parameter space, which could result in biased cosmological results. In this work, we study the impact of different choices for modellin…

Safer streets make it to the art museum

The Log-Rank Conjecture: New Equivalent Formulations
Lianna Hambardzumyan, Shachar Lovett, Morgan Shirley
https://arxiv.org/abs/2510.02583 https://arxiv.or…

The Log-Rank Conjecture: New Equivalent Formulations
The log-rank conjecture is a longstanding open problem with multiple equivalent formulations in complexity theory and mathematics. In its linear-algebraic form, it asserts that the rank and partitioning number of a Boolean matrix are quasi-polynomially related. We propose a relaxed but still equivalent version of the conjecture based on a new matrix parameter, signed rectangle rank: the minimum number of all-1 rectangles needed to express the Boolean matrix as a $\pm 1$-sum. Signed rectangle …

Identifying treatment effects on categorical outcomes in IV models
Onil Boussim
https://arxiv.org/abs/2510.10946 https://arxiv.org/pdf/2510.10946

Identifying treatment effects on categorical outcomes in IV models
This paper provides a nonparametric framework for causal inference with categorical outcomes under binary treatment and binary instrument settings. We decompose the observed joint probability of outcomes and treatment into marginal probabilities of potential outcomes and treatment, and association parameters that capture selection bias due to unobserved heterogeneity. Under a novel identifying assumption, association similarity, which requires the dependence between unobserved factors and poten…

An exponential upper bound for induced Ramsey numbers
Lucas Arag\~ao, Marcelo Campos, Gabriel Dahia, Rafael Filipe, Jo\~ao Pedro Marciano
https://arxiv.org/abs/2509.22629 https:…

An exponential upper bound for induced Ramsey numbers
The induced Ramsey number $R_{\mathrm{ind}}(H; r)$ of a graph $H$ is the minimum number $N$ such that there exists a graph with $N$ vertices for which all $r$-colourings of its edges contain a monochromatic induced copy of $H$. Our main result is the existence of a constant $C > 0$ such that, for every graph $H$ on $k$ vertices, these numbers satisfy \begin{equation*} R_{\mathrm{ind}}(H; r) \le r^{C r k}. \end{equation*} When $r = 2$, this resolves a conjecture of Erdős from 1975. For $r > 2…