Greedy string algorithm hits a factor of two at length six
A new arXiv preprint also gives the exact worst-case ratio for three-character strings, while leaving several cases open.
2061–2080
A new arXiv preprint also gives the exact worst-case ratio for three-character strings, while leaving several cases open.
A Padova testbed combined a 620-m atmospheric segment with deployed fibre; reported rates were 0.42 Mbit/s for coherent states and 0.93 Mbit/s for squeezed states under different channel conditions.
Preprint reports lower frame and action errors than Original FastWAM at 50k steps, while X-VLA had the lowest reported action errors on the same 23-episode slice.
An arXiv preprint models vertical mode switching and horizontal routing, but its higher-confinement design shows leakage into a third mode when writing errors break symmetry.
Preprint: V3 followed three rounds of offline large language model feedback and ranked best among four versions on reported lane tracking and curve progress in CARLA.
This preprint reports close third-order agreement with exact projected transport in a four-level dimer and small errors in three synthetic recoveries.
An arXiv paper proposes a conditional nested-derivative criterion for a class of nonlinear PDEs, with solution constructions that are not guaranteed in every case.
An arXiv preprint dated 24 Aug 2026 reports lower search costs and results near full-set search, but estimated candidate rankings were imperfect.
The proof covers non-constant right-hand sides and yields a special-Lagrangian result in dimensions 3 and 4, while the strictly k-convex case remains unresolved.
A preprint presents a computable second post-Newtonian formulation and evaluates its residual term in two controlled three-body benchmarks.
Preprint: An algebraic study finds that metric construction is not unique to the Cayley form and separates two notions of non-degeneracy.
A numerical comparison found lower computational cost and more useful bounds under outliers, but the result came from one noisy switched-system benchmark.
Preprint: A self-routing model used shorter reasoning for easier math problems and longer reasoning for harder ones, but collapsed on a separate task.
This preprint finds LFU was barely beaten across three 100,000-query corpora, while an answer-quality audit showed many raw cache hits were not substitutable.
Preprint: Swift-Image reports benchmark scores for text-to-image and editing, and its pruned 3B version is described as showing nearly no loss.
A new preprint reports closer aggregate agreement with human survey patterns, but does not establish individual-level realism.
An arXiv preprint reports the lowest overall biventricular geometric errors in an ED-only comparison.
Preprint: The count comes from grid-aligned, non-overlapping searches, while the smallest possible area remains unknown.
Preprint: In three benchmark settings, the router selectively queried a more accurate estimator as the assumed inspection price changed.
A preprint reports clean clock slowing in a standard droop test, but an unexplained detector transient and limited measurements leave important questions open.