Tootfinder

This https://arxiv.org/abs/2403.16434 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The classification of complete improper affine spheres with singularities of low total curvature and new examples
We provide a classification of complete improper affine spheres with singularities (say \emph{improper affine fronts}) in unimodular affine three-space $\boldsymbol{R}^3$ whose total curvature is greater than or equal to $-6π$, and a partial classification in the case of total curvature $-8π$. For the case of total curvature $-8π$, we give a complete classification for genus $0$ case and show the existence of an example and a one parameter family with genus $1$. We also study the asymptotic …

Codimension one distributions of degree 3 on the three-dimensional projective space
Hugo Galeano, Orlando Chaljub
https://arxiv.org/abs/2505.23241 https://…

Codimension one distributions of degree 3 on the three-dimensional projective space
We make a classification of codimension one degree 3 distributions on the projective three space, giving possible Chern classes of the tangent sheaf and describing de zero and one dimensional components of the singular scheme of the distribution. Also, we show the existence and describe some moduli spaces of such distributions, using the concept of stability of the tangent sheaf.

This https://arxiv.org/abs/2502.04080 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

AT 2018dyk: tidal disruption event or active galactic nucleus? Follow-up observations of an extreme coronal line emitter with the Dark Energy Spectroscopic Instrument
We present fresh insights into the nature of the tidal disruption event (TDE) candidate AT 2018dyk. AT 2018dyk has sparked a debate in the literature around its classification as either a bona-fide TDE or as an active galactic nucleus (AGN) turn-on state change. A new follow-up spectrum taken with the Dark Energy Spectroscopic Instrument, in combination with host-galaxy analysis using archival SDSS-MaNGA data, supports the identification of AT 2018dyk as a TDE. Specifically, we classify this ob…

Categorical Lyapunov Theory II: Stability of Systems
Aaron D. Ames, S\'ebastien Mattenet, Joe Moeller
https://arxiv.org/abs/2505.22968 https://

Categorical Lyapunov Theory II: Stability of Systems
Lyapunov's theorem provides a foundational characterization of stable equilibrium points in dynamical systems. In this paper, we develop a framework for stability for F-coalgebras. We give two definitions for a categorical setting in which we can study the stability of a coalgebra for an endofunctor F. One is minimal and better suited for concrete settings, while the other is more intricate and provides a richer theory. We prove a Lyapunov theorem for both notions of setting for stability, and …

Classifying and Clustering Trading Agents
Mateusz Wilinski, Anubha Goel, Alexandros Iosifidis, Juho Kanniainen
https://arxiv.org/abs/2505.21662 https://

Classifying and Clustering Trading Agents
The rapid development of sophisticated machine learning methods, together with the increased availability of financial data, has the potential to transform financial research, but also poses a challenge in terms of validation and interpretation. A good case study is the task of classifying financial investors based on their behavioral patterns. Not only do we have access to both classification and clustering tools for high-dimensional data, but also data identifying individual investors is fina…

This https://arxiv.org/abs/2505.19677 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Perfect codes in quartic Cayley graphs of generalized dihedral groups
For a graph $Γ=(VΓ,EΓ)$, a subset $D$ of $VΓ$ is a perfect code in $Γ$ if every vertex of $Γ$ is dominated by exactly one vertex in $D$. In this paper, we classify all connected quartic Cayley graphs on generalized dihedral groups admitting a perfect code, and determine all perfect codes in such graphs.

Augment or Not? A Comparative Study of Pure and Augmented Large Language Model Recommenders
Wei-Hsiang Huang, Chen-Wei Ke, Wei-Ning Chiu, Yu-Xuan Su, Chun-Chun Yang, Chieh-Yuan Cheng, Yun-Nung Chen, Pu-Jen Cheng
https://arxiv.org/abs/2505.23053

Augment or Not? A Comparative Study of Pure and Augmented Large Language Model Recommenders
Large language models (LLMs) have introduced new paradigms for recommender systems by enabling richer semantic understanding and incorporating implicit world knowledge. In this study, we propose a systematic taxonomy that classifies existing approaches into two categories: (1) Pure LLM Recommenders, which rely solely on LLMs, and (2) Augmented LLM Recommenders, which integrate additional non-LLM techniques to enhance performance. This taxonomy provides a novel lens through which to examine the …

Ich finde die deutsche Feiertagsdiskussion irre, solange man nicht Tage, sondern Wochen mit irrsinniger Bürokratie aus dem Hause Schilda verbringt. Das deutsche Steuerrecht ist komplett krank, die Planfeststellungverfahren führen zum Totalstillstand. Im Ahrtal bauen sie wieder in die Flutgebiete weil der Flächentausch nicht gelingt. Aber einen Feiertag abschaffen für den journalistischen Clickbait. #Fail …

NDR (@NDR@ard.social)
Angehängt: 1 Bild Einen Tag weniger Pause – dafür aber mehr Einnahmen für den Staat? In Deutschland wird über die Abschaffung eines Feiertags diskutiert, in Dänemark ist das bereits passiert. Der Ökonom Marcel Fratzscher warnte davor, diesem Beispiel zu folgen: https://www.ndr.de/feiertag316.html

Towards Explainable Sequential Learning
Giacomo Bergami, Emma Packer, Kirsty Scott, Silvia Del Din
https://arxiv.org/abs/2505.23624 https://

Towards Explainable Sequential Learning
This paper offers a hybrid explainable temporal data processing pipeline, DataFul Explainable MultivariatE coRrelatIonal Temporal Artificial inTElligence (EMeriTAte+DF), bridging numerical-driven temporal data classification with an event-based one through verified artificial intelligence principles, enabling human-explainable results. This was possible through a preliminary a posteriori explainable phase describing the numerical input data in terms of concurrent constituents with numerical pay…

This https://arxiv.org/abs/2312.01825 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Galois descent for motivic theories
We give necessary conditions for a category fibred in pseudo-abelian additive categories over the classifying topos of a profinite group to be a stack; these conditions are sufficient when the coefficients are $\mathbf{Q}$-linear. This applies to pure motives over a field in the sense of Grothendieck, Deligne-Milne and André, to mixed motives in the sense of Nori and to several motivic categories considered in arXiv:1506.08386 [math.AG]. We also give a simple proof of the exactness of a sequen…