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AVM sorgt für frischen Wind auf der Anga Com in Köln und präsentiert gleich mehrere Neuheiten. ✨
Zum Artikel: https://heise.de/-10422267?wt_mc=sm.red.ho.mastodon.mastodon.md_beitraege.md_beitraege&utm_source=mastod…

Neben Gemini: Samsung soll bei Galaxy-Smartphones auch auf Perplexity setzen
Samsungs Galaxy-Smartphones könnten bald schon nicht nur KI-Dienste von Google an Bord haben, sondern auch die des Start-ups Perplexity.

Weniger ist mehr - Wie Sie mehr Lust auf Lust bekommen (könnten) #News #Nachrichten …

Geometry and Dress groups with non-symmetric cost functions
Lukas Silvester Barth, Parvaneh Joharinad, J\"urgen Jost, Walter Wenzel
https://arxiv.org/abs/2506.00590

Geometry and Dress groups with non-symmetric cost functions
A metric relation by definition is symmetric. Since many data sets are non-symmetric, in this paper we develop a systematic theory of non-symmetric cost functions. Betweenness relations play an important role. We also introduce the notion of a Dress group in the non-symmetric setting and indicate a notion of curvature.

Vor Ostern gibt's einen Karfreitag. Folglich sollte der Freitag vor Pfingsten schon allein aus Symmetriegründen ein Feiertag sein. Schließlich mußten die Jünger ja alle anreisen.¹
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¹„Paulus hatte sich entschlossen, an Ephesus vorbeizufahren, um in der Provinz Asien keine Zeit zu verlieren. Denn er hatte es eilig, weil er, wenn möglich, am Pentekoste in Jerusalem sein wollte.“ Apg 20,16

This https://arxiv.org/abs/2505.16026 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Edge modes of tetrad gravity: Unlike diffeomorphisms, all shifts are integrable
We present an improved notion of internal tetrad shifts in 4 dimensions which is always integrable in the presence of corners. This allows us to study the fully extended corner symmetry algebra of gauge charges, which is a deformation of $ISO(1,3)^S$ involving spacetime curvature. We argue this implies corner noncommutativity of the spin connection $ω$. The latter in particular hints that an extended BF theory might be a better way understand the dynamics of tetrad gravity. This result present…

RewardBench 2: Advancing Reward Model Evaluation
Saumya Malik, Valentina Pyatkin, Sander Land, Jacob Morrison, Noah A. Smith, Hannaneh Hajishirzi, Nathan Lambert
https://arxiv.org/abs/2506.01937

RewardBench 2: Advancing Reward Model Evaluation
Reward models are used throughout the post-training of language models to capture nuanced signals from preference data and provide a training target for optimization across instruction following, reasoning, safety, and more domains. The community has begun establishing best practices for evaluating reward models, from the development of benchmarks that test capabilities in specific skill areas to others that test agreement with human preferences. At the same time, progress in evaluation has not…

From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
Yufei Qin, Kai Wang
https://arxiv.org/abs/2506.03952 https://

From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
In this paper, we investigate pre-Calabi-Yau algebras and homotopy double Poisson algebras arising from homotopy Rota-Baxter structures. We introduce the notion of cyclic homotopy Rota-Baxter algebras, a class of homotopy Rota-Baxter algebras endowed with additional cyclic symmetry, and present a construction of such structures via a process called cyclic completion. We further introduce the concept of interactive pairs, consisting of two differential graded algebras-designated as the acting al…

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schr\"odinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann, Petr Siegl
https://arxiv.org/abs/2505.22321

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on the boundary parameters to induce closed operators with a nonempty resolvent set. The abstract results are applied to Schrödinger operators with complex $L^p$-potentials on bounded and unbounded Lipschitz domains with compact boundaries.