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An Eulerian Perspective on Straight-Line Sampling
Panos Tsimpos, Youssef Marzouk
https://arxiv.org/abs/2510.11657 https://arxiv.org/pdf/2510.11657

An Eulerian Perspective on Straight-Line Sampling
We study dynamic measure transport for generative modeling: specifically, flows induced by stochastic processes that bridge a specified source and target distribution. The conditional expectation of the process' velocity defines an ODE whose flow map achieves the desired transport. We ask \emph{which processes produce straight-line flows} -- i.e., flows whose pointwise acceleration vanishes and thus are exactly integrable with a first-order method? We provide a concise PDE characterization of s…

Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
Tom\'a\v{s} Roub\'i\v{c}ek
https://arxiv.org/abs/2510.10355 …

Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
The semi-implicit (partly decoupled, also called staggered or fraction-step) time discretization is applied to compressible nonlinear dynamical models of viscoelastic solids in the Eulerian description, i.e.\ in the actual deforming configuration, formulated fully in terms of rates. The Kelvin-Voigt rheology and also, in the deviatoric part, the Jeffreys rheology are considered. The numerical stability and, considering the Stokes-type viscosity multipolar of the 2nd-grade, also convergence towa…

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One of the biggest and coolest larps happening in Finland in autumn 2026, if the crowdfunding goes through. Please share and spread the word to your larping frien…

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Control variates from Eulerian and Lagrangian perturbation theory: Application to the bispectrum
Nickolas Kokron, Shi-Fan Chen
https://arxiv.org/abs/2510.07375 https://

Control variates from Eulerian and Lagrangian perturbation theory: Application to the bispectrum
Control variates have seen recent interest as a powerful technique to reduce the variance of summary statistics measured from costly cosmological $N$-body simulations. Of particular interest are the class of control variates which are analytically calculable, such as the recently introduced 'Zeldovich control variates' for the power spectrum of matter and biased tracers. In this work we present the construction of perturbative control variates in Eulerian and Lagrangian perturbation theory, and…

Path-Based Correlation Analysis of Meteorological Factors and eLoran Signal Delay Variations
Junwoo Song, Pyo-woong Son
https://arxiv.org/abs/2509.26020 https://

Path-Based Correlation Analysis of Meteorological Factors and eLoran Signal Delay Variations
Unlike GNSS, which is vulnerable to jamming and spoofing due to its inherently weak received power, eLoran exhibits robustness owing to its high field strength. Therefore, the eLoran system can maintain reliable operation even in scenarios where GNSS becomes unavailable. However, since eLoran signals propagate through ground waves, the propagation delay is susceptible to changes in surface conditions, including both terrain and meteorological variations. This study aims to analyze the correlati…

Crosslisted article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
[3/3]:
- An Eulerian Perspective on Straight-Line Sampling
Panos Tsimpos, Youssef Marzouk

Impact of Cosmic Ray Acceleration on the Early Evolution of Bow Shocks around Massive Runaway Stars
Keito Watanabe, Stefanie Walch, Tim-Eric Rathjen, Jonathan Mackey, Pierre N\"urnberger, Philipp Girichidis
https://arxiv.org/abs/2510.11988

Impact of Cosmic Ray Acceleration on the Early Evolution of Bow Shocks around Massive Runaway Stars
Bow shocks generated from the interaction of winds from massive runaway stars with the interstellar medium have been shown to be prominent particle accelerators through recent $γ$-ray and radio synchrotron observations. Here, we study particle acceleration from bow shocks by conducting 3D ideal cosmic ray magnetohydrodynamic simulations in the advection-diffusion limit. We use the Eulerian grid-based code FLASH, where stellar winds are injected through tabulated wind velocities and mass loss r…

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