A noncommutative Cartier formula for E1-ring spectra is proven and applied to show that p-curvature of the quantum connection computes quantum Steenrod operations for Calabi-Yau symplectic manifolds.
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Expander SAEs apply left-d-regular expander masks to TopK SAEs, learning only dn decoder parameters instead of mn and tracing a storage-fidelity frontier that reaches 293x compression with 84% retained performance on Qwen2.5-3B.
The normalized orbit of a bounded normal operator can be a frame, providing a counterexample to Conjecture 3.
Machine learning methods discover a new noncrossing-partition statistic interpreting q,t-Narayana polynomials and yield a combinatorial proof of their symmetry.
SLayerGen generates crystals invariant to any space or layer group via autoregressive lattice and Wyckoff sampling plus equivariant diffusion, achieving gains over bulk models on diperiodic materials after correcting a prior loss inconsistency for hexagonal groups.
Every proper minor-closed graph class admits an optimal (1+o(1)) log n bit adjacency labeling scheme.
Sharp Bianchi–Egnell stability for the affine fractional L2-Sobolev inequality, with local spectral gap 2s/(n/2+s+1) and a strictly smaller optimal global constant.
A directed weighted two-graph model separates feasibility from movement in solution discovery and yields a detailed complexity classification for path and shortest-path discovery.
The method reformulates ALE mesh motion as independent multi-patch spline parameterizations per time step, using barrier functions, tangential-slip reparameterization, and constant-preserving quasi-interpolation to enable large-rotation FSI simulations.
Superconductivity in high-pressure MnB4 is induced by altermagnetic spin fluctuations, yielding extended-s pairing symmetry.
A survey of 172 open educational datasets from 204 papers across LAK, EDM, and AIED conferences reveals trends, 143 previously uncatalogued datasets, field gaps, and an 8-item PRACTICE checklist for better data publication.
A microlocal lift of Navier-Stokes dynamics on manifolds yields an if-and-only-if geometric criterion for solution blow-up in terms of deformation integrability, directional entropy, and lifted energy.
The Contiguous Art Gallery problem is solved in Θ(n log n) time in the real RAM model, improving the prior O(k n^5 log n) upper bound and proving an Ω(n log n) lower bound.
Introduces a method to design structure-specific relational inductive biases for a base transformer architecture, enabling end-to-end transcription of documents with intrinsic structures, demonstrated on sheet music, shape drawings, and mechanical engineering drawings.
First irreducible rank-2 dHYM connections are constructed on the full flag manifold F₂, and rank-1 solutions outside the supercritical regime disprove conjectured stability conditions.
One-bit broadcast-counting in anonymous 1-interval-connected networks still supports general multiset computation in O(n³ log² n) rounds, nearly matching congested O(n³) algorithms and an Ω(n³) lower bound.
First event-by-event Cherenkov separation from sub-MeV electrons in liquid argon enables a proof-of-principle ALP search excluding new parameter space despite no observed excess.
Rank-2 Kleinian groups with three parabolics are maximal cusps when the domain of discontinuity is nonempty, but new finite-covolume lattice examples exist that do not arise from tunnel-number-1 links.
The lattice of z-ideals of every commutative semiring is unconditionally a coherent frame, and under explicit finite-type hypotheses the g-closed ideals form a coherent frame homeomorphic to a prime congruence spectrum.
Every graph contains k vertex-disjoint cycles of distinct lengths or has a set of O(k^6 polylog(k)) vertices whose removal leaves at most k-1 cycle lengths.
By folding normalization into a KL-based objective over un-normalized potentials, neural likelihood approximation becomes a strictly convex problem with provable consistency.
The paper introduces a probabilistic sign rule for quotients of positive series and integral transforms that reduces monotonicity, log-supermodularity, and log-convexity to kernel sign criteria via moment identities, and applies it to derive new inequalities for hypergeometric, Stieltjes, and Prabha
SPoILeR uses multimodal pre-training to enable accurate novel view synthesis of infrared, polarimetric, and multispectral data from RGB-supervised fine-tuning on new scenes.
NEvo performs evolutionary search guided by a dynamic voxel-level encoding model to synthesize videos that maximize predicted activity in target brain ROIs, recovering known selectivities and revealing temporal dynamics differences.
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A geometry-aligned multi-fidelity framework for uncertainty quantification of wildfire spread
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OmniRobotHome: A Multi-Camera Platform for Real-Time Multiadic Human-Robot Interaction
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Fine-Tuning Small Reasoning Models for Quantum Field Theory
Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
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2D quantum-path interference in high-harmonic generation driven by highly-bichromatic fields
A new 2D quantum-path interference is observed in HHG driven by highly-bichromatic orthogonal fields, producing monomodal modulations in odd harmonics and bimodal modulations in even harmonics.
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From Clever Hans to Scientific Discovery: Interpreting EEG Foundational Transformers with LRP
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MeVPrtl: An Event Generator for Dark Sector Particles in the Short-Baseline Neutrino Program
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Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
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A Scaling Limit of Random Walks in the Rational Adeles
Adele-valued random walks converge weakly to an adelic Lévy process in the J1 Skorokhod topology after appropriate scaling.
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Stochastic first-passage modeling of single-event burnout in SiC power MOSFETs
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On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
Local linear instabilities in entropy-stable discretizations cause negligible practical errors because their growth is small, oscillatory, boundary-localized, and suppressible, with no direct extension to nonlinear two-point-flux cases.
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Electrochemical reactions under reverse bias create additional mobile ions that enable hole tunneling in metal halide perovskite diodes
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Parallel Algorithms for Group Isomorphism via Code Equivalence
AC³ isomorphism tests for coprime Abelian extensions and central-radical groups with elementary Abelian radical, plus an AC circuit bound for arbitrary central-radical groups.
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Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
Data-driven approximation methods are derived for the unitary Koopman-von Neumann operator, its eigenvalues and eigenfunctions, with explicit quantum-circuit representations for finite-dimensional projections.
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Immersed boundary-conformal isogeometric methods for magnetostatics
Non-conformal immersed and union-based isogeometric methods with boundary-conformal quadrature reduce patch count and preprocessing for magnetostatics while union variants maintain accuracy on benchmarks.
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Observation of Magnetically-Induced atomic transitions of the Cs 6S$_{1/2} \rightarrow 7$P$_{3/2}$ line at 456 nm
Observation of seven MI transitions (Fg=3 to Fe=5) of the Cs 456 nm line that exceed conventional transition intensities and shift by ~17 GHz at 3 kG, matching Zeeman theory predictions.
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Safe reinforcement learning with online filtering for fatigue-predictive human-robot task planning and allocation in production
PF-CD3Q uses online particle filtering to estimate fatigue parameters and constrains a deep Q-learning agent to solve fatigue-aware human-robot task planning as a CMDP.
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Ring formation around giant planets by tidal disruption of a single passing large Kuiper belt object II: The dynamical fate of tidal fragments
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Open-Sora: Democratizing Efficient Video Production for All
Open-Sora releases an open-source video generation model based on a Spatial-Temporal Diffusion Transformer that decouples spatial and temporal attention, supporting text-to-video, image-to-video, and text-to-image tasks with claimed high fidelity.
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Stable fluid-rigid body interaction algorithm using the direct-forcing immersed boundary method (DF-IBM)
A stable implicit coupling algorithm for fluid-rigid body interactions is developed within the DF-IBM framework, using relaxation for robustness and PISO optimizations, and validated on benchmarks.
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Latent Profiles of AI Risk Perception and Their Differential Association with Community Driving Safety Concerns: A Person-Centered Analysis
Four latent profiles of AI risk perception were identified in U.S. adults, with higher AI concern generally linked to greater perceived driving-hazard severity except for AI-versus-human driving comparisons.
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Jarvis-HEP: A lightweight Python framework for workflow composition and parameter scans in high-energy physics
Jarvis-HEP introduces a YAML-based Python framework for composing workflows and performing parameter scans in high-energy physics.
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Hadronic parity violation: successes, challenges, and future prospects
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Isospin-symmetry violation -- kaons and beyond (ISO-BREAK 25: summary and outlook)
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Recent advances in modelling of global-scale collisions using smoothed particle hydrodynamics
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