Tootfinder

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Daniel Flores, Kiseok Yeon
https://arxiv.org/abs/2506.01291 http…

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Let $d$ and $n$ be natural numbers. Let $ν_{d,n}: \mathbb{R}^n\rightarrow \mathbb{R}^{N}$ denote the Veronese embedding with $N=N_{n,d}:=\binom{n+d-1}{d}$, defined by listing all the monomials of degree $d$ in $n$ variables using the lexicographical ordering. Let $\langle \boldsymbol{a}, ν_{d,n}(\boldsymbol{x})\rangle\in \mathbb{Z}[\boldsymbol{x}]$ be a homogeneous polynomial in $n$ variables of degree $d$ with integer coefficients $\boldsymbol{a}$, where $\langle\cdot,\cdot\rangle$ denotes t…

Scouting LaNorris Sellers: South Carolina quarterback similar to Daunte Culpepper https://www.nfl.com/news/scouting-lanorris-sellers-south-carolina-quarterback-similar-to-daunte-culpepper

IPFormer: Visual 3D Panoptic Scene Completion with Context-Adaptive Instance Proposals
Markus Gross, Aya Fahmy, Danit Niwattananan, Dominik Muhle, Rui Song, Daniel Cremers, Henri Mee{\ss}
https://arxiv.org/abs/2506.20671

IPFormer: Visual 3D Panoptic Scene Completion with Context-Adaptive Instance Proposals
Semantic Scene Completion (SSC) has emerged as a pivotal approach for jointly learning scene geometry and semantics, enabling downstream applications such as navigation in mobile robotics. The recent generalization to Panoptic Scene Completion (PSC) advances the SSC domain by integrating instance-level information, thereby enhancing object-level sensitivity in scene understanding. While PSC was introduced using LiDAR modality, methods based on camera images remain largely unexplored. Moreover, …

Finite-time scaling on low-dimensional map bifurcations
Daniel A. Martin, Qian-Yuan Tang, Dante R. Chialvo
https://arxiv.org/abs/2505.24673 https://…

Finite-time scaling on low-dimensional map bifurcations
Recent work has introduced the concept of finite-time scaling to characterize bifurcation diagrams at finite times in deterministic discrete dynamical systems, drawing an analogy with finite-size scaling used to study critical behavior in finite systems. In this work, we extend the finite-time scaling approach in several key directions. First, we present numerical results for 1D maps exhibiting period-doubling bifurcations and discontinuous transitions, analyzing selected paradigmatic examples.…

Second order free cumulants: product, commutator, and anti-commutator
Daniel Munoz George, Daniel Perales
https://arxiv.org/abs/2507.21031 https://arxiv.or…

Second order free cumulants: product, commutator, and anti-commutator
Given two second order free random variables $a$ and $b$, we study the second order free cumulants of their product $ab$, their commutator $ab-ba$, and their anti-commutator $ab+ba$. Let $(κ_n^a)_{n\geq 1}$ and $(κ_{n,m}^a)_{n,m\geq 1}$ denote the sequence of free cumulants of first and second order, respectively, of a random variable $a$ in a second order non-commutative probability space $(\mathcal{A},φ,φ^2)$. Given $a$ and $b$ two second order freely independent random variables, we prov…

Bias Delayed is Bias Denied? Assessing the Effect of Reporting Delays on Disparity Assessments
Jennah Gosciak (Cornell University), Aparna Balagopalan (Massachusetts Institute of Technology), Derek Ouyang (Stanford University), Allison Koenecke (Cornell University), Marzyeh Ghassemi (Massachusetts Institute of Technology), Daniel E. Ho (Stanford University)

Bias Delayed is Bias Denied? Assessing the Effect of Reporting Delays on Disparity Assessments
Conducting disparity assessments at regular time intervals is critical for surfacing potential biases in decision-making and improving outcomes across demographic groups. Because disparity assessments fundamentally depend on the availability of demographic information, their efficacy is limited by the availability and consistency of available demographic identifiers. While prior work has considered the impact of missing data on fairness, little attention has been paid to the role of delayed dem…

Parametric design and adaptive sizing of lattice structures for 3d additive manufacturing
Jorge Manuel Mercado-Colmenero, Daniel Diaz - Perete, Miguel Angel Rubio- Paramio, Cristina Martin-Donate
https://arxiv.org/abs/2507.18318

Parametric design and adaptive sizing of lattice structures for 3d additive manufacturing
The present research is developed into the realm of industrial design engineering and additive manufacturing by introducing a parametric design model and adaptive mechanical analysis for a new lattice structure, with a focus on 3D additive manufacturing of complex parts. Focusing on the land-scape of complex parts additive manufacturing, this research proposes geometric parameterization, mechanical adaptive sizing, and numerical validation of a novel lattice structure to optimize the final prin…

Schleswig-Holsteins Ministerpräsident Daniel Günther (CDU). Gerade in Zeiten, in denen Menschen oft mit Trübsal in die Zukunft blickten, brauche es positive, verbindende Signale. „Wir wünschen uns natürlich in Schleswig-Holstein, dass der Zuschlag am Ende auch für Hamburg fällt.“
Mir vielen da deutlich andere Dinge ein die man mit dem Geld tun könnte, damit es überhaupt noch eine Zukunft gibt.

Mit 700 km/h von Hamburg nach Kiel? Science-Fiction-Traum könnte bald wahr werden
Die norddeutschen Bundesländer hoffen auf die Olympischen Spiele. Auch verkehrstechnisch haben Kiel und Hamburg dazu Ideen. Hamburg und Schleswig-Holstein

Susceptibility for extremely low external fluctuations and critical behaviour of Greenberg-Hastings neuronal model
Joaquin Almeira, Daniel A. Martin, Dante R. Chialvo, Sergio A. Cannas
https://arxiv.org/abs/2506.22629

Susceptibility for extremely low external fluctuations and critical behaviour of Greenberg-Hastings neuronal model
We consider the scaling behaviour of the fluctuation susceptibility associated with the average activation in the Greenberg-Hastings neural network model and its relation to microscopic spontaneous activation. We found that, as the spontaneous activation probability tends to zero, a clear finite size scaling behaviour in the susceptibility emerges, characterized by critical exponents which follow already known scaling laws. This shows that the spontaneous activation probability plays the role o…

Multi-Centre Validation of a Deep Learning Model for Scoliosis Assessment
\v{S}imon Kubov, Simon Kl\'i\v{c}n\'ik, Jakub Dand\'ar, Zden\v{e}k Straka, Karol\'ina Kvakov\'a, Daniel Kvak
https://arxiv.org/abs/2507.14093

Multi-Centre Validation of a Deep Learning Model for Scoliosis Assessment
Scoliosis affects roughly 2 to 4 percent of adolescents, and treatment decisions depend on precise Cobb angle measurement. Manual assessment is time consuming and subject to inter observer variation. We conducted a retrospective, multi centre evaluation of a fully automated deep learning software (Carebot AI Bones, Spine Measurement functionality; Carebot s.r.o.) on 103 standing anteroposterior whole spine radiographs collected from ten hospitals. Two musculoskeletal radiologists independently …