Tootfinder

Trump says Orban requested exemption from US sanctions on Russian oil but hasn’t been granted one: https://benborges.xyz/2025/10/31/trump-says-orban-requested-exemption.html

Searching for Difficult-to-Translate Test Examples at Scale
Wenda Xu, Vil\'em Zouhar, Parker Riley, Mara Finkelstein, Markus Freitag, Daniel Deutsch
https://arxiv.org/abs/2509.26619

Searching for Difficult-to-Translate Test Examples at Scale
NLP models require test data that are sufficiently challenging. The difficulty of an example is linked to the topic it originates from (''seed topic''). The relationship between the topic and the difficulty of its instances is stochastic in nature: an example about a difficult topic can happen to be easy, and vice versa. At the scale of the Internet, there are tens of thousands of potential topics, and finding the most difficult one by drawing and evaluating a large number of examples across al…

Inside the marketplace for vaccine medical exemptions
https://arstechnica.com/health/2025/11/inside-the-marketplace-for-vaccine-medical-exemptions/

An LLM generates a statistically typical response.
If you ask an LLM whether the world is round, it generates what would be a typical response to the question of whether the world is round. (It will probably be correct, because the typical answer to that question is the correct one.)
If you ask an LLM to provide examples of its own bias, it will generate what would be a typical response to a request to provide examples of bias.
In neither case is the LLM sharing any knowledge or insight other than what is typical.
2/

Ponte de Asseca, Spain, 2025
Habe dort mit dem Camper übernachtet und am Morgen die alte Brücke im Wasser versunken unter neuer neuen Eisenbahnbrücke entdeckt.
#silentsunday

Despite all the talk of 'algoraves' etc, over the past couple of decades there has been a distinct lack of videos showing 1/ code projected 2/ person writing that code live 3/ people dancing to said code .. it's definitely happened but there hasn't been a lot of documentary evidence. Seems to be changing at the moment ! (feel free to reply with recent examples/historical counter-examples)

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in $\mathbb{R}^3$
Elham Matinpour
https://arxiv.org/abs/2509.25617 https://

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in $\mathbb{R}^3$
Consider $\mathbb{R}^3$ equipped with the Euclidean metric and the Gaussian measure. Let $Σ$ be a complete embedded self-shrinker in $\mathbb{R}^3$ with the induced metric and weighted measure, and let $λ_1$ denote the first eigenvalue of the drift Laplacian in the weighted $L^2$ space. Inspired by Choe and Soret's estimate of the first eigenvalue of the Laplacian on symmetric minimal surfaces in $\mathbb{S}^3$, we prove that $λ_1$= 1/2 for self-shrinkers invariant under the dihedral group $…

from my link log —
InvisiCaps: pointers in Fil-C by example.
https://fil-c.org/invisicaps_by_example
saved 2025-10-28 https://dotat.at/:/0TWPM.h…

Nearest matrix with multiple eigenvalues by Riemannian optimization
Vanni Noferini, Lauri Nyman, Federico Poloni
https://arxiv.org/abs/2509.26344 https://a…

Nearest matrix with multiple eigenvalues by Riemannian optimization
Given a square complex matrix $A$, we tackle the problem of finding the nearest matrix with multiple eigenvalues or, equivalently when $A$ had distinct eigenvalues, the nearest defective matrix. To this goal, we extend the general framework described in [M. Gnazzo, V. Noferini, L. Nyman, F. Poloni, \emph{Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory}, Found. Comput. Math., To appear] and based on variable projection and Riemannian optimizatio…

Zeros of Hecke polynomials arising from weak eigenforms
Kevin Gomez
https://arxiv.org/abs/2509.26519 https://arxiv.org/pdf/2509.26519

Zeros of Hecke polynomials arising from weak eigenforms
We attach Hecke polynomials $P_n(F;x)$ to weak Hecke eigenforms $F$ of weight $2-k$ and show that, for large $n$, every zero is simple, lies in $[0,1728]$, and the zeros equidistribute on this interval. The construction pulls back a weakly holomorphic Hecke combination of $F$ along $j$; the analysis follows Hecke orbits on the unit-circle arc $\mathcal{A}$, isolating a dominant "cosine" term and controlling the tail via Maass-Poincaré series and Whittaker/Bessel bounds. This extends the Rankin…