Neutron-Diffusion Preprint Reports Faster PINN Calculations
The approach uses one low-resolution calculation to start both a flux network and a key model parameter, but evidence comes from four numerical benchmarks.
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Preprint Links Special Points on Quartic Surfaces to K3 Geometry
A theorem gives an algebraic test for quasi-Galois points and counts 28 on the Fermat quartic.
Small Subtrees Can Rebuild Two Evolutionary Trees, But Not Always
Preprint: A mathematical analysis finds that three-leaf clues can remain ambiguous, while near-complete clues identify the two source trees in broad size ranges.
Preprint establishes universal formulas for Hilbert schemes on surfaces
An arXiv version dated 26 Aug 2026 develops the κ-class framework for curve and surface families and gives explicit codimension-one surface formulas.
Machine learning maps six climate zones for solar modules
Preprint analysis combines simulated energy yield and module lifetime in a global model, but its climate groupings shift under small changes to feature-importance scores.
Climate models classify 18 tidally locked exoplanets as potentially habitable
Preprint simulations suggest stellar flux matters more than rotation, while pressure reshapes the hottest modeled worlds.
New math framework links arithmetic volume to equilibrium measures
Preprint: A theoretical analysis says theta and Bergman-type measures agree in key settings, while a broader convergence claim remains conjectural.
AI Theorem Provers Struggle to Turn Math Answers Into Proofs
Preprint results from MathAdv show a wide gap between natural-language answers and formal Lean 4 proof construction.
One AI auditor setup scored above a baseline, but results varied
Preprint: A computational benchmark found higher scores for one calibrated pairwise checkpoint, while concern-focused training showed a steep fall in false-positive calibration.
New benchmark tests whether AI video scores match human judgment
Preprint: An expanded benchmark uses more than 60,000 generated videos and 36,000 new annotations to assess aesthetics and generation quality.
Direct Neural Predictors Beat Generative Models in Rarefied-Flow Test
Preprint: Flow matching and diffusion reached low interpolation errors, but neither beat direct deterministic regressors on the additional cylinder test.
Quantum model links competing soft modes to tunable phase changes
Preprint: Analytical calculations associate two collective excitation channels with different multicritical phase diagrams in a generalized two-mode quantum Rabi model.
Leonid Model Forecasts Sharp 2033 Peak, Uncertain 2034 Split
Preprint: This Leonid dust-trail model projects quiet early years, a sharp 2033 peak and two 2034 peaks whose relative strength could reverse.
Preprint maps sharp limits for lattice resolvent estimates
An arXiv analysis of the free discrete Laplacian reports uniform bounds across dimensions four and above, while leaving a four-dimensional endpoint question open.
Drone controller reaches target in simulated clutter
Preprint: In simulation, a viability-kernel MPC system guided a fully actuated hexarotor around static obstacles, with reported iteration times below its 20-millisecond sampling period.
RF-DETR transfers better than tested CNNs to close-range weld images
An arXiv preprint reports stronger close-range transfer for RF-DETR than tested CNNs, while three-seed CNN scores were lower on shop-floor imagery.
Preprint derives Gaussian bounds for Hilbert-space U-statistics
The mathematical framework also gives bootstrap rates and a minimax separation rate for dense Kendall’s tau alternatives.
Porous Ice Shows Different Water-Loss Signals by Wavelength
Preprint: Infrared tests found the same restructuring pattern across three ice vibrations, while water-desorption signals varied sharply by wavelength.
Sparse sampling linked to slower functional linear regression rates
Preprint: A pooling-ridge estimator is paired with matching bounds and tested in simulations and two datasets.
AI pipeline retrieves relevant evidence for nearly every zebrafish query
An arXiv preprint tests a system that follows zebrafish genes to corresponding human orthologs and ranks functional and literature evidence.