Tootfinder

Factorizable embeddings and the period of an irreducible sofic shift
Brian Marcus, Tom Meyerovitch, Klaus Thomsen, Chengyu Wu
https://arxiv.org/abs/2508.02554 https://

Factorizable embeddings and the period of an irreducible sofic shift
Generalizing a result of MacDonald we give necessary and sufficient conditions for an arbitrary subshift to embed into an irreducible sofic shift factoring through a given cover by an irreducible subshift of finite type (SFT). We obtain also necessary and sufficient conditions for an arbitrary subshift to embed into an irreducible sofic shift factoring through \emph{some} sliding block code out of an irreducible SFT. We do that when the code is required to be surjective, and hence a factor code…

Doubling the field of view and eliminating the replica overlap problem in common-path shearing quantitative phase imaging
Miko{\l}aj Rogalski, Piotr Zda\'nkowski, Matyas Heto, Jolanta Mierzejewska, Ma{\l}gorzata Lenarcik, Zhuoshi Li, Jiasong Sun, Chao Zuo, Maciej Trusiak
https://arxiv.org/abs/2510.01762…

Doubling the field of view and eliminating the replica overlap problem in common-path shearing quantitative phase imaging
Quantitative phase imaging (QPI) enables label-free, high-contrast visualization of transparent specimens, but its common implementation in off-axis digital holographic microscopy (DHM) requires a separate reference beam, which increases system complexity and sensitivity to noise and vibrations. Common-path shearing DHMs overcome these drawbacks by eliminating the reference arm, yet they suffer from sheared object beam (replica) overlap, as both interfering sheared beams traverse the sample and…

Standardized Multi-Layer Tissue Maps for Enhanced Artificial Intelligence Integration and Search in Large-Scale Whole Slide Image Archives
Gernot Fiala, Markus Plass, Robert Harb, Peter Regitnig, Kristijan Skok, Wael Al Zoughbi, Carmen Zerner, Paul Torke, Michaela Kargl, Heimo M\"uller, Tomas Brazdil, Matej Gallo, Jaroslav Kub\'in, Roman Stoklasa, Rudolf Nenutil, Norman Zerbe, Andreas Holzinger, Petr Holub

Standardized Multi-Layer Tissue Maps for Enhanced Artificial Intelligence Integration and Search in Large-Scale Whole Slide Image Archives
A Whole Slide Image (WSI) is a high-resolution digital image created by scanning an entire glass slide containing a biological specimen, such as tissue sections or cell samples, at multiple magnifications. These images can be viewed, analyzed, shared digitally, and are used today for Artificial Intelligence (AI) algorithm development. WSIs are used in a variety of fields, including pathology for diagnosing diseases and oncology for cancer research. They are also utilized in neurology, veterinar…

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…

EXCLUSIVE: Trump and 'Special Attorney for Mortgage Fraud' Ed Martin are speaking as often as four times per week as the GOP activist prepares to seek indictments against prominent Democrats (Andrew Feinberg/The Independent)
https://www.independent.co.uk/news/world/americas/us-politics/trump-doj-mortgage-fraud-martin-b2816228.html
http://www.memeorandum.com/250829/p38#a250829p38

Four outlets have taken down AI-generated articles by a "journalist"; Wired says her article didn't go through a proper fact-check or get sufficient editing (Charlotte Tobitt/Press Gazette)
https://pressgazette.co.uk/publishers/

Wired says 'AI-written' story did not have 'proper fact-check process'
Wired explains how it got duped by an AI freelancer while other editors who had been pitched by Margaux Blanchard share their stories.

"In my opinion... for the left-wing militant in general, and the worker in particular, even more particularly the communist worker: start weaving, so to speak, have a loom at home; one cannot continue speaking out against pollution while polluting intensely."
Manuel Sacristšn, influential Spanish eco-Marxist, speaking in 1979. He doesn't mean literally start weaving, although one could, but to live lightly on the earth while struggling against the system.

Generating Difficult-to-Translate Texts
Vil\'em Zouhar, Wenda Xu, Parker Riley, Juraj Juraska, Mara Finkelstein, Markus Freitag, Dan Deutsch
https://arxiv.org/abs/2509.26592

Generating Difficult-to-Translate Texts
Machine translation benchmarks sourced from the real world are quickly obsoleted, due to most examples being easy for state-of-the-art translation models. This limits the benchmark's ability to distinguish which model is better or to reveal models' weaknesses. Current methods for creating difficult test cases, such as subsampling or from-scratch synthesis, either fall short of identifying difficult examples or suffer from a lack of diversity and naturalness. Inspired by the iterative process of…

Conic optimization techniques yield sufficient conditions for set-completely positive matrix completion under arrowhead specification pattern
Markus Gabl
https://arxiv.org/abs/2509.19348

Conic optimization techniques yield sufficient conditions for set-completely positive matrix completion under arrowhead specification pattern
Matrix completion results deal with the question of when a partially specified symmetric matrix can be completed to a member of certain matrix cones. Results from positive semidefinite matrix completion and completely positive matrix completion have been successfully applied in optimization to greatly reduce the number of variables in conic optimization problems in the space of symmetric matrices. In this text, we go the other direction and show that we can use tools from conic optimization (mo…

Bird flu cases are spiking earlier than experts expected — and that could cause egg prices to skyrocket | The Independent
https://www.independent.co.uk/news/world/americas/bird-flu-poultry-egg-prices-infection-b2843082.html