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.
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Preprint results from MathAdv show a wide gap between natural-language answers and formal Lean 4 proof construction.
Preprint: A computational benchmark found higher scores for one calibrated pairwise checkpoint, while concern-focused training showed a steep fall in false-positive calibration.
Preprint: An expanded benchmark uses more than 60,000 generated videos and 36,000 new annotations to assess aesthetics and generation quality.
Preprint: Flow matching and diffusion reached low interpolation errors, but neither beat direct deterministic regressors on the additional cylinder test.
Preprint: Analytical calculations associate two collective excitation channels with different multicritical phase diagrams in a generalized two-mode quantum Rabi model.
Preprint: This Leonid dust-trail model projects quiet early years, a sharp 2033 peak and two 2034 peaks whose relative strength could reverse.
An arXiv analysis of the free discrete Laplacian reports uniform bounds across dimensions four and above, while leaving a four-dimensional endpoint question open.
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.
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.
The mathematical framework also gives bootstrap rates and a minimax separation rate for dense Kendall’s tau alternatives.
Preprint: Infrared tests found the same restructuring pattern across three ice vibrations, while water-desorption signals varied sharply by wavelength.
Preprint: A pooling-ridge estimator is paired with matching bounds and tested in simulations and two datasets.
An arXiv preprint tests a system that follows zebrafish genes to corresponding human orthologs and ranks functional and literature evidence.
Preprint: In synthetic tests, the method came closer to one of several valid outputs than random labels, but it remained behind a benchmark using true modality identities.
Preprint testing on three accelerators reports peak speedups of 2.05× over cuBLAS and 2.06× over rocBLAS.
The simulation reported a 4.02°C RMSE against measurements, but its parameters were tuned on the same trajectory used for testing.
Testing found sharper phantom images and visible vessel structure at 12.5% detector retention, while validation remained limited to simulated and physical phantoms.
Preprint: An arXiv paper outlines field-level controls for limiting identifying details, while tests and a reported failure expose important trust gaps.
Preprint: In a physics-based campus simulation, FedQoS remained close to centralized prediction in two non-IID conditions, while access-selection results differed between mild and severe tests.
Preprint: An arXiv version-1 study dated 26 Aug 2026 reports higher return, communication and sensing measures, plus lower collision-risk counts in modeled multi-UAV tests.