Tootfinder

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.
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Characterization of Gradient Index Fibers
Robert Leonard, Matthew Marshall, Seth Hyra, Meagan Plummer, Jacob Williamson, Spencer Olson
https://arxiv.org/abs/2509.14390 https://

Characterization of Gradient Index Fibers
Gradient index (GRIN) fibers are used to improve the design of many fiber optic devices. However, the properties of the GRIN fiber must be determined to optimally engineer a device which incorporates GRIN fiber components. The index of refraction of most GRIN fibers varies quadratically in the radial direction, where the quadratic coefficient is characterized by the gradient index constant $g$. We measured $g$ for Thorlabs GIF50C GRIN fiber at both $780~\mathrm{nm}$ and $1550~\mathrm{nm}$ using…

Quantumness and its hierarchies in PT-symmetric down-conversion models
Jan Pe\v{r}ina Jr., Karol Bartkiewicz, Grzegorz Chimczak, Anna Kowalewska-Kudlaszyk, Adam Miranowicz, Joanna K. Kalaga, Wies{\l}aw Leonski
https://arxiv.org/abs/2510.06171

Quantumness and its hierarchies in PT-symmetric down-conversion models
We investigate the hierarchy of quantum correlations in a quadratic bosonic parity-time-symmetric system (PTSS) featuring distinct dissipation and amplification channels. The hierarchy includes global nonclassicality, entanglement, asymmetric quantum steering, and Bell nonlocality. We elucidate the interplay between the system physical nonlinearity -- which serves as a source of quantumness -- and the specific dynamics of bosonic PTSSs, which are qualitatively influenced by their damping and am…

The $\mathbb{A}^1$-Euler characteristic of symmetric powers
Louisa F. Br\"oring, Jesse Pajwani, Anna M. Viergever
https://arxiv.org/abs/2510.06922 https://

The $\mathbb{A}^1$-Euler characteristic of symmetric powers
The $\mathbb{A}^1$-Euler characteristic is a refinement in algebraic geometry of the classical topological Euler characteristic, which can be constructed using motivic homotopy theory. This invariant is a quadratic form rather than an integer, which carries a lot of information, but is difficult to compute in practice. In this survey, we discuss a conjectural way for computing the $\mathbb{A}^1$-Euler characteristic of the symmetric powers of a variety in terms of the $\mathbb{A}^1$-Euler chara…

Re$^3$MCN: Cubic Newton Variance Reduction Momentum Quadratic Regularization for Finite-sum Non-convex Problems
Dmitry Pasechnyuk-Vilensky, Dmitry Kamzolov, Martin Tak\'a\v{c}
https://arxiv.org/abs/2510.08714

Re$^3$MCN: Cubic Newton + Variance Reduction + Momentum + Quadratic Regularization for Finite-sum Non-convex Problems
We analyze a stochastic cubic regularized Newton method for finite sum optimization $\textstyle\min_{x\in\mathbb{R}^d} F(x) \;=\; \frac{1}{n}\sum_{i=1}^n f_i(x)$, that uses SARAH-type recursive variance reduction with mini-batches of size $b\sim n^{1/2}$ and exponential moving averages (EMA) for gradient and Hessian estimators. We show that the method achieves a $(\varepsilon,\sqrt{L_2\varepsilon})$-second-order stationary point (SOSP) with total stochastic oracle calls $n + \widetilde{\mathcal…

A Higher-Order Time Domain Boundary Element Formulation based on Isogeometric Analysis and the Convolution Quadrature Method
Thomas Kramer, Benjamin Marussig, Martin Schanz
https://arxiv.org/abs/2510.06804

A Higher-Order Time Domain Boundary Element Formulation based on Isogeometric Analysis and the Convolution Quadrature Method
An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave equation as in acoustics and the Lamé-Navier equations for elastodynamics considering the theory of linear elasticity. The underlying boundary integral equations imply time-dependent convolution integrals and allow us to determine the sought quantities in the bounded interior or the unbounded exterior after solving for…

Boundary Conditions of Warped AdS$_3$ in New Massive Gravity
S. N. Sajadi, Supakchai Ponglertsakul
https://arxiv.org/abs/2510.06572 https://arxiv.org/pdf/2…

Boundary Conditions of Warped AdS$_3$ in New Massive Gravity
To satisfy the Cardy formula for Warped AdS$_3$ (WAdS$_{3}$) solutions in a quadratic ensemble, a specific set of boundary conditions has been proposed in \cite{Aggarwal:2020igb}. In this paper, these boundary conditions have been investigated in the three-dimensional new massive gravity (NMG) framework. The associated solution space, asymptotic symmetries, and charge algebra have been extracted. It has been shown that the surface charges are finite, but not integrable, and the integrability of…

Erst vor wenigen Wochen wurde hier mit großem Aufwand eine der neuen touristischen Infostelen der Stadt Dresden aufgestellt. Nun ist diese plötzlich wieder weg. Die Frage ist warum? Stand die etwa Holgers Riesenrad im weg, welches hier demnächt aufgestellt wird? Wenn ja: Zahlt Holger den Auf- & Abbau?

A Martingale Kernel Two-Sample Test
Anirban Chatterjee, Aaditya Ramdas
https://arxiv.org/abs/2510.11853 https://arxiv.org/pdf/2510.11853

A Martingale Kernel Two-Sample Test
The Maximum Mean Discrepancy (MMD) is a widely used multivariate distance metric for two-sample testing. The standard MMD test statistic has an intractable null distribution typically requiring costly resampling or permutation approaches for calibration. In this work we leverage a martingale interpretation of the estimated squared MMD to propose martingale MMD (mMMD), a quadratic-time statistic which has a limiting standard Gaussian distribution under the null. Moreover we show that the test is…

Quantum Annealing for Realistic Traffic Flow Optimization: Clustering and Data-Driven QUBO
Ren\'ata Rusn\'akov\'a, Martin Chovanec, Juraj Gazda
https://arxiv.org/abs/2510.06053

Quantum Annealing for Realistic Traffic Flow Optimization: Clustering and Data-Driven QUBO
Managing city traffic is a complex NP-hard problem where traditional methods often fail to scale. We present a data-driven approach that reformulates traffic optimization as a Quadratic Unconstrained Binary Optimization, capturing both congestion reduction and travel-time efficiency. The model integrates simulated realistic mobility data, multiple routing alternatives, and analytically derived penalty constraints. To address large networks, we apply Leiden clustering to preserve critical conges…