Tootfinder

Mass calibration of DES Year-3 clusters via SPT-3G CMB cluster lensing
B. Ansarinejad, S. Raghunathan, T. M. C. Abbott, P. A. R. Ade, M. Aguena, O. Alves, A. J. Anderson, F. Andrade-Oliveira, M. Archipley, L. Balkenhol, K. Benabed, A. N. Bender, B. A. Benson, E. Bertin, F. Bianchini, L. E. Bleem, S. Bocquet, F. R. Bouchet, D. Brooks, L. Bryant, D. L. Burke, E. Camphuis, J. E. Carlstrom, A. Carnero Rosell, J. Carretero, F. J. Castander, T. W. Cecil, C. L. Chang, P. Chaubal, P. M. Chichu…

Mass calibration of DES Year-3 clusters via SPT-3G CMB cluster lensing
We measure the stacked lensing signal in the direction of galaxy clusters in the Dark Energy Survey Year 3 (DES Y3) redMaPPer sample, using cosmic microwave background (CMB) temperature data from SPT-3G, the third-generation CMB camera on the South Pole Telescope (SPT). We estimate the lensing signal using temperature maps constructed from the initial 2 years of data from the SPT-3G 'Main' survey, covering 1500 deg$^2$ of the Southern sky. We then use this signal as a proxy for the mean cluster…

Volumes of Bott-Chern classes
S\'ebastien Boucksom, Vincent Guedj, Chinh H. Lu
https://arxiv.org/abs/2406.01090 https://arxiv.org…

Volumes of Bott-Chern classes
We study the volumes of transcendental and possibly non-closed Bott-Chern $(1,1)$-classes on an arbitrary compact complex manifold $X$. We show that the latter belongs to the class $\mathcal{C}$ of Fujiki if and only if it has the $\textit{bounded mass property}$ -- i.e., its Monge-Ampère volumes have a uniform upper-bound -- and there exists a closed Bott-Chern class with positive volume. This yields a positive answer to a conjecture of Demailly-Păun-Boucksom. To this end we extend to the he…

Mike Tomlin excited about Steelers’ mindset: ‘We as a collective have some questions to answer’ https://www.nfl.com/news/mike-tomlin-excited-about-steelers-mindset-we-as-a-collective-have-some-questions-to-answer

Mike Tomlin excited about Steelers’ mindset: ‘We as a collective have some questions to answer’
Steelers head coach Mike Tomlin is encouraged by the prove-it mindset of offensive coordinator Arthur Smith and quarterbacks Russell Wilson and Justin Fields. Pittsburgh added a number of value picks in the draft to help them achieve such goals.

The set of elementary tensors is weakly closed in projective tensor products
Colin Petitjean
https://arxiv.org/abs/2404.03322 https://

The set of elementary tensors is weakly closed in projective tensor products
In this short note, we prove that the set of elementary tensors is weakly closed in the projective tensor product of two Banach spaces. As a result, we are able to answer a question from the literature proving that if $(x_n) \subset X$ and $(y_n) \subset Y$ are two weakly null sequences such that $(x_n \otimes y_n)$ converges weakly in $X \widehat{\otimes}_πY$, then $(x_n \otimes y_n)$ is also weakly null.

Finite symmetric groups are strongly verbally closed
Olga K. Karimova, Anton A. Klyachko
https://arxiv.org/abs/2405.01179 https://arx…

Finite symmetric groups are strongly verbally closed
Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group $H$ is a retract of any group containing $H$ as a verbally closed subgroup.

Non-existence of a holomorphic imbedding of the Sobolev loop space into the Hilbert projective space
Anakkar M., S. Ivashkovich
https://arxiv.org/abs/2406.01404

Non-existence of a holomorphic imbedding of the Sobolev loop space into the Hilbert projective space
The goal of this paper is to understand the properties of meromorphic mappings with values in two model complex Hibert manifolds: Hilbert projective space $\pp(l^2)$ and Sobolev loop space of the Riemann sphere $L\pp^1$. It occurs that these properties are quite different. Based on our study we obtain as a corollary that $L\pp^1$ does not admit a closed holomorphic imbedding to $\pp(l^2)$. In other words $L\pp^1$ is {\slsf not} a Hilbert projective variety despite of the fact that it is Kähler…

Truth and collection
Bartosz Wcis{\l}o
https://arxiv.org/abs/2403.19367 https://arxiv.org/pdf/2403.19367

Truth and collection
Answering a question of Kaye, we show that the compositional truth theory with a full collection scheme is conservative over Peano Arithmetic. We demonstrate it by showing that countable models of compositional truth which satisfy the internal induction or collection axioms can be end-extended to models of the respective theory.

How the Trump trial is playing in Maga world
Anger at what is seen as political persecution meets with another emotion:
sublime indifference.
Barely a handful of Trump supporters bother to protest each day outside the court in New York, a Democratic stronghold.
The trial receives less prominence in conservative media, which prefers to devote airtime to other national news including protests on university campuses against the war in Gaza.
The divergence ensures…

A Framework for Leveraging Human Computation Gaming to Enhance Knowledge Graphs for Accuracy Critical Generative AI Applications
Steph Buongiorno, Corey Clark
https://arxiv.org/abs/2404.19729 https://arxiv.org/pdf/2404.19729
arXiv:2404.19729v1 Announce Type: new
Abstract: External knowledge graphs (KGs) can be used to augment large language models (LLMs), while simultaneously providing an explainable knowledge base of facts that can be inspected by a human. This approach may be particularly valuable in domains where explainability is critical, like human trafficking data analysis. However, creating KGs can pose challenges. KGs parsed from documents may comprise explicit connections (those directly stated by a document) but miss implicit connections (those obvious to a human although not directly stated). To address these challenges, this preliminary research introduces the GAME-KG framework, standing for "Gaming for Augmenting Metadata and Enhancing Knowledge Graphs." GAME-KG is a federated approach to modifying explicit as well as implicit connections in KGs by using crowdsourced feedback collected through video games. GAME-KG is shown through two demonstrations: a Unity test scenario from Dark Shadows, a video game that collects feedback on KGs parsed from US Department of Justice (DOJ) Press Releases on human trafficking, and a following experiment where OpenAI's GPT-4 is prompted to answer questions based on a modified and unmodified KG. Initial results suggest that GAME-KG can be an effective framework for enhancing KGs, while simultaneously providing an explainable set of structured facts verified by humans.

I was asked to ELI5 the DDG-Microsoft downtime.
"It's like I ask you to set the table, but your older brother does it for you, without telling me. Like a washing machine which sends the clothes to a bigger machine in a basement; and when the pipes get clogged, all our neighbours' clothes go unwashed. Or a calculator where you write 2 2 and it phones someone across the globe to ask the answer; when the phone breaks or they speak different languages, you get no answer from t…