Tootfinder

HyperCLOVA X THINK Technical Report
NAVER Cloud HyperCLOVA X Team
https://arxiv.org/abs/2506.22403 https://arxiv.org/pdf/2506.22403…

HyperCLOVA X THINK Technical Report
We introduce HyperCLOVA X THINK, the first reasoning-focused large language model in the HyperCLOVA X family, pre-trained on roughly $6$ trillion high-quality Korean, and English tokens, augmented with targeted synthetic Korean data. It was implemented as a compute-memory-balanced Peri-LN Transformer scaled with $μ$P, pre-trained through a three-stage curriculum that expands the context window to $128$K tokens, and post-trained via supervised fine-tuning with Reinforcement Learning from Verifi…

Cornerback Caelen Carson joins Cowboys' growing injury list with hyperextended knee https://www.foxsports.com/articles/nfl/cornerback-caelen-carson-joins-cowboys-growing-injury-list-with-hyperextended-knee

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities
Thomas Mordant
https://arxiv.org/abs/2506.22126

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities
This paper establishes the formula for the stable Griffiths height of the middle-dimensional cohomology of a pencil of projective hypersurfaces $H$, with semihomogeneous singularities, over some smooth projective curve $C$, that appears as Theorem 5.1 in the first part of this paper (arxiv:2506.15334). The proof of this formula relies on the strategy developed in my previous work (arxiv:2212.11019v3) to derive an expression for this Griffiths height when the only singularities of the fibers o…

Cowboys CB Caelen Carson out 4-6 weeks with hyperextended knee as Dallas injuries accumulate

https://www.cbssports.com/nfl/news/cowboys-c…

🇺🇦 #NowPlaying on KEXP's #MidnightInAPerfectWorld
Nacho Sotomayor:
🎵 Hiperaccesibility
#NachoSotomayor
https://nachosotomayor.bandcamp.com/track/hiperaccesibility
https://open.spotify.com/track/4rXs2E3Bbk2StL2oqjxuiJ

On the growth of hypergeometric sequences
George Kenison, Jakub Konieczny, Florian Luca, Andrew Scoones, Mahsa Shirmohammadi, James Worrell
https://arxiv.org/abs/2507.22437 http…

On the growth of hypergeometric sequences
Hypergeometric sequences obey first-order linear recurrence relations with polynomial coefficients and are commonplace throughout the mathematical and computational sciences. For certain classes of hypergeometric sequences, we prove linear growth estimates on their Weil heights. We give an application of our effective results towards the Membership Problem from Computer Science. Recall that Membership asks to procedurally determine whether a specified target is an element of a given recurrence …

A note on the strength of a hypercube
Melissa A. Huggan, M. E. Messinger, Dylan Pearson
https://arxiv.org/abs/2507.21908 https://arxiv.org/pdf/2507.21908…

A note on the strength of a hypercube
As a generalization of super magic strength, the strength of a graph was introduced in [R. Ichishima, F.A. Muntaner-Batle, A. Oshima, Bounds for the strength of graphs, Austral. J. of Combin. 72(3) (2018) 492-508]. For a vertex ordering $f$ of graph $G$, the strength of $f$ is the maximum sum of the labels on any pair of adjacent vertices. The strength of $G$ is defined as the minimum strength of $f$, taken over all vertex orderings of $G$. The strength of the hypercube is unknown, but bounded.…

Physical Degradation Model-Guided Interferometric Hyperspectral Reconstruction with Unfolding Transformer
Yuansheng Li, Yunhao Zou, Linwei Chen, Ying Fu
https://arxiv.org/abs/2506.21880

Physical Degradation Model-Guided Interferometric Hyperspectral Reconstruction with Unfolding Transformer
Interferometric Hyperspectral Imaging (IHI) is a critical technique for large-scale remote sensing tasks due to its advantages in flux and spectral resolution. However, IHI is susceptible to complex errors arising from imaging steps, and its quality is limited by existing signal processing-based reconstruction algorithms. Two key challenges hinder performance enhancement: 1) the lack of training datasets. 2) the difficulty in eliminating IHI-specific degradation components through learning-base…

Painted into a Corner: Cowboys suffer another injury at CB; team thin on options https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/07/29/cowboys-cb-caelen-carson-hyperextended-knee/85428228007/

G{\"o}pel Varieties
Vladimiro Benedetti (LJAD), Michele Bolognesi (IMAG), Daniele Faenzi (IMB), Laurent Manivel (IMT)
https://arxiv.org/abs/2506.22030

G{ö}pel Varieties
We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong to a family of hypersurfaces exhibiting similar behavior, but defined in various types of homogeneous spaces. With the help of Jordan-Vinberg theory, we show how these hypersurfaces can be parametrized by G{ö}pel type varieties inside projectivized representations of complex reflection groups.