75 Quadratmeter Wedding https://weddingweiser.de/75-quadratmeter-wedding/
Global Solutions to Non-Convex Functional Constrained Problems with Hidden Convexity
Ilyas Fatkhullin, Niao He, Guanghui Lan, Florian Wolf
https://arxiv.org/abs/2511.10626 https://arxiv.org/pdf/2511.10626 https://arxiv.org/html/2511.10626
arXiv:2511.10626v1 Announce Type: new
Abstract: Constrained non-convex optimization is fundamentally challenging, as global solutions are generally intractable and constraint qualifications may not hold. However, in many applications, including safe policy optimization in control and reinforcement learning, such problems possess hidden convexity, meaning they can be reformulated as convex programs via a nonlinear invertible transformation. Typically such transformations are implicit or unknown, making the direct link with the convex program impossible. On the other hand, (sub-)gradients with respect to the original variables are often accessible or can be easily estimated, which motivates algorithms that operate directly in the original (non-convex) problem space using standard (sub-)gradient oracles. In this work, we develop the first algorithms to provably solve such non-convex problems to global minima. First, using a modified inexact proximal point method, we establish global last-iterate convergence guarantees with $\widetilde{\mathcal{O}}(\varepsilon^{-3})$ oracle complexity in non-smooth setting. For smooth problems, we propose a new bundle-level type method based on linearly constrained quadratic subproblems, improving the oracle complexity to $\widetilde{\mathcal{O}}(\varepsilon^{-1})$. Surprisingly, despite non-convexity, our methodology does not require any constraint qualifications, can handle hidden convex equality constraints, and achieves complexities matching those for solving unconstrained hidden convex optimization.
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Mini-PC: Asus stellt NUC 16 Pro mit RAM-Lüfter vor
Die neueste NUC-Generation bricht mit einer alten Tradition: Die Boards sind nicht mehr quadratisch.
https://www.heise.de/news/Mini-PC-Asus…
Constructing Koszul filtrations: existence and non-existence for G-quadratic algebras
Emily Berghofer, Lisa Nicklasson, Peder Thompson, Thomas Westerb\"ack
https://arxiv.org/abs/2602.06490 https://arxiv.org/pdf/2602.06490 https://arxiv.org/html/2602.06490
arXiv:2602.06490v1 Announce Type: new
Abstract: Given a standard graded algebra over a field, we consider the relationship between G-quadraticity and the existence of a Koszul filtration. We show that having a quadratic Gr\"obner basis implies the existence of a Koszul filtration for toric algebras equipped with the degree reverse lexicographic term order and for algebras defined by binomial edge ideals. We also resolve a conjecture of Ene, Herzog, and Hibi by constructing an example where this implication fails. These results are underpinned by algorithms we develop for constructing Koszul filtrations. We also demonstrate the utility of these algorithms on the pinched Veronese algebra.
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"Red lines" as justification for terrorizing civilians – Russia's new tactic #shorts: https://benborges.xyz/2025/11/30/quotred-linesquot-as-justification-for.html<…
A questão era calcular 1 i elevado a 11. Ao invés de utilizar Moivre, o aluno fez o produto de (1 i) por ele mesmo onze vezes e acertou a questão, o miseršvel rs. Mas ele poderia ao menos ter utilizado uma estratégia de elevar ao quadrado três vezes para obter a oitava potência e depois multiplicado três vezes por 1 i. Daria menos trabalho.
Neues zur #Vulkangruppe. Wusste wieder keiner!
DJI Osmo Action 6: Actionkamera mit variabler Blende
Die Actioncam DJI Osmo Action 6 kommt mit einem 1/1,1-Zoll-Quadratsensor, der hohe Bildqualität verspricht. Die Blende lässt sich von f/2,0 – f/4,0 variieren.
https:/…