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Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation
Announce Type: replace Abstract: The pointwise determinant ratio \[ R_\psi(z)\equiv \log\!\left(\frac{\det g_{\mathrm{RF}}(z;\psi)}{\det g_{\mathrm{FS}}(z)}\right) \] measures how the Ricci-flat metric on the Dwork quintic departs from the Fubini--Study baseline. We ask whether this scalar observable can be described compactly in terms of a small number of projective invariants, and whether the same scaffold remains usable across complex-structure moduli. Using Donaldson's $k=10$ balanced...
Multilevel randomized quasi-Monte Carlo estimator for nested integration
arXiv:2412.07723v5 Announce Type: replace Abstract: Nested integration problems arise in various scientific and engineering applications, including Bayesian experimental design, financial risk assessment, and uncertainty quantification. These nested integrals take the form $\int f\left(\int g(\boldsymbol{y},\boldsymbol{x})\mathrm{d}\boldsymbol{x}\right)\mathrm{d}\boldsymbol{y}$, for nonlinear $f$, making them computationally challenging, particularly in high-dimensional settings. Although...
Ergodicity and Measurements In Static and Dynamic Light Scattering
Announce Type: replace Abstract: Static Light Scattering (SLS) and Dynamic Light Scattering (DLS) are very important techniques to study the characteristics of nano-particles in dispersion. The data of SLS is determined by the optical characteristic and the measured values of DLS are determined by optical and hydrodynamic characteristics of different size nano-particles. In general, the nano-particles investigated are considered to be cross-linked soft particles or hyper-branched chains with...
Discrete Incremental Voting: New Bounds for General Graphs and Expanders
arXiv:2606.06381v1 Announce Type: new Abstract: We analyze the discrete incremental voting process (DIV) introduced by Cooper, Radzik, and Shiraga [OPODIS '23]. In this process, we consider a set $V$ of $n$ nodes connected in an undirected graph $G = (V, E)$ where each node has an integer opinion. In one step a randomly selected node interacts with its randomly selected neighbor and changes its opinion by $1$ in the direction of the neighbour's opinion.
Pinning on Tight Cuts: Improved Algorithm and Bounds for Unsplittable Multicommodity Flows in Outerplanar Graphs
arXiv:2606.04456v1 Announce Type: new Abstract: The multicommodity flow problem in an undirected capacitated graph $G$ is specified by a set of source-sink pairs with nonnegative demands. A flow is feasible if it routes all demands without exceeding the edge capacities, and it is unsplittable if it routes each demand along a single path. Let $\alpha$ be the smallest value such that the existence of a feasible flow implies the existence of an unsplittable flow that exceeds the edge capacities...
SoulsOnly.tff – A font for humans not AI and keyboard firmware to type in it
A font whose rendered glyphs spell readable text while the stored character stream (what copy-paste, HTML/PDF extraction, and scrapers see) is noise. The font is the decoder, applied only at the rendering layer, and the cipher is driven by an ordinary keyboard: you type normal keys, the keyboard emits the noise stream, and only this font renders it back into words. This is a craft and statement project, not a claim of unbreakable security.
Diverse binding poses of agonistic neurotoxins on human Na<sub>v</sub>1.6
Abstract Voltage-gated sodium (Nav) channels are key targets of various venomous toxins. Deciphering the binding poses and mechanisms of action of representative toxins will help to dissect the functional mechanism of the channels and facilitate therapeutic development targeting Nav channels1,2. Here we present cryo-electron microscopy (cryo-EM) structures of distinct binding poses of three agonistic peptide toxins on the human Nav1.6–β1 channel complex.
New audio deepens concerns around Josh Jacobs’ arrest investigation
Green Bay Packers star Josh Jacobs is facing one of the most difficult periods of his NFL career as new details continue to emerge from an ongoing domestic violence investigation. The latest development comes from dispatch audio released by local media, offering a glimpse into what authorities reportedly heard before law enforcement arrived at the running back’s Wisconsin residence. The recordings have intensified public attention on the case, which remains active.
Dispatch audio reveals what was heard inside Josh Jacobs' home before alleged domestic violence arrest
Released dispatch audio has added some context to the alleged domestic violence incident involving Green Bay Packers running back Josh Jacobs, one of which came from inside his Wisconsin residence. The audio, obtained by TMJ 4, reveals a dispatcher speaking with a police officer about the "yelling and screaming" she could hear on an open line within Jacobs’ home. "Things being thrown, open line," the dispatcher tells the officer.
ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models
arXiv:2606.08685v1 Announce Type: new Abstract: We study a numerical method, built on the tensor neural network (TNN) architecture introduced in \cite{wang2022tensor}, for solving nonlocal diffusion models in high-dimensional spaces. The tensor-product structure of the TNN ansatz, combined with the separability of the Gaussian kernel, reduces the high-dimensional integrals in the nonlocal energy to products of low-dimensional integrals, which are evaluated by Gauss--Legendre quadrature;...