The normalized orbit of a bounded normal operator can be a frame, providing a counterexample to Conjecture 3.
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A Dynamic Recursive Unified Internet Design (DRUID),
Canonical reference. 80% of citing Pith papers cite this work as background.
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background 251
method 24
baseline 6
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representative citing papers
EDEN releases the largest freely available Italian clinical notes corpus (4M notes, 6k annotated) and proposes CRF-filling as a structured extraction benchmark with zero-shot baselines from Gemma models.
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.
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 new qubit-efficient HUBO encoding for graph partitioning problems like minimum coloring uses logarithmic bits and a lexicographic penalty to cut resources while providing provable optimality conditions.
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.
A 9U CubeSat detector can identify a thermonuclear weapon on a satellite from 4 km away by observing spallation neutrons induced by GeV protons in roughly one week.
O(n log n) algorithm and matching Omega(n log n) lower bound for partitioning a simple polygon's boundary into the minimum number of contiguous visible segments.
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.
Derives leading asymptotics for collision-time tails of integrable inhomogeneous Markov chains via steepest-descent analysis and Karlin-McGregor expansion, confirming a prediction for push-block particle systems.
Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
A cP_n P_m scheme for DGSEM-LGL achieves m+1 convergence order via projected high-order components and a compact reconstruction operator that corrects the highest Legendre mode.
Hierarchical granular metamaterials achieve simultaneous increases in impact energy absorption per unit mass and reductions in transmitted peak force at low densities through three-level design combining granular dissipation with architected structures.
RoverDevKit is an open physics-based evaluator for lunar micro-rover conceptual design that runs in 30 ms and uses NSGA-II to identify mission-dependent optimal wheel configurations and binding trades.
Symbolic SOS rules generate symbolic semantics that are proven correct and complete with respect to concrete semantics using only the language's algebraic signature.
A YOLO keypoint model trained on 37k+ public images plus 1k neonatal frames achieves SOTA NME and low failure rates for 68-point neonatal landmark detection in clinical conditions.
Approximating twin-width is FPT parameterized by treedepth via oriented twin-width, and exact twin-width computation is FPT parameterized by vertex integrity.
Hybrid sharp-diffuse interface finite element method for accurate thermo-hydrodynamic modeling of melt pools with rapid evaporation.
Subsequence matching with gap-constraints is solvable in O(|D|(|u| + |C|)) time under left-convexity of the languages, optimal under SETH.
citing papers explorer
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A hybrid sharp-diffuse interface approach to accurately model melt pool dynamics with rapid evaporation in laser-based processing of metals
Hybrid sharp-diffuse interface finite element method for accurate thermo-hydrodynamic modeling of melt pools with rapid evaporation.
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A geometry-aligned multi-fidelity framework for uncertainty quantification of wildfire spread
A geometry-aligned bi-fidelity surrogate maps low- and high-fidelity wildfire solutions to a common domain for improved reduced-basis reconstruction, lower error near fronts, and practical uncertainty quantification.
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Adaptive Material Fingerprinting for the fast discovery of polyconvex feature combinations in isotropic and anisotropic hyperelasticity
An adaptive database and iterative pattern recognition algorithm lets Material Fingerprinting discover arbitrary linear combinations of polyconvex isotropic and anisotropic hyperelastic features from experimental data.
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Modeling isotropic polyconvex hyperelasticity by neural networks -- sufficient and necessary criteria for compressible and incompressible materials
CSSV-NNs and inc-CSSV-NNs provide universal approximation of frame-indifferent isotropic polyconvex hyperelastic energies, showing Ball's criterion is sufficient but not necessary.
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GLUE: Coordinating Pre-Trained Generative Models for System-Level Design
GLUE orchestrates frozen pre-trained generative models into a system-level design generator that enforces feasibility, performance, and diversity, with data-driven and data-free variants benchmarked on UAV design.
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Input convex neural networks: universal approximation theorem and implementation for isotropic polyconvex hyperelastic energies
Input-convex neural networks in elementary polynomials of signed singular values provably approximate any frame-indifferent isotropic polyconvex hyperelastic energy.
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Autoregressive Modelling and Synthetic Generation of High-Fidelity, Statistically Equivalent 3D Microstructures for As-Manufactured Misalignments in Fiber-Reinforced Composites
Develops an integrated pipeline using ellipse-based extraction, copula-autoregressive stochastic modeling, Bayesian hyperparameter tuning, and iterative physical growth to produce synthetic 3D fiber microstructures statistically equivalent to experimental CT data.
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A Variational Kolosov--Muskhelishvili Network for Elasticity and Fracture
A variational neural network using Kolosov-Muskhelishvili potentials solves 2D linear elasticity and fracture problems by minimizing total potential energy and embedding crack discontinuities into the ansatz, yielding higher accuracy and faster convergence than standard physics-informed networks.
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Reconstruction of glymphatic transport fields from subject-specific imaging data, with particular emphasis on cerebrospinal fluid flow and tracer conservation
A framework reconstructs divergence-free CSF velocity fields from mouse brain tracer imaging data via constrained inverse problems and immersed isogeometric analysis, with forward simulations matching observations.
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A 99-Line Homogenization Code for Lattice-skin Plate Structures
Presents an open-source 99-line code and homogenization framework for lattice-skin plates that uses adjusted boundary conditions to extract effective plate stiffness matrices while reducing bias from standard periodic assumptions.
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JAX-BEM: Gradient-Based Acoustic Shape Optimisation via a Differentiable Boundary Element Method
A JAX-based differentiable BEM solver matches traditional BEM accuracy on benchmarks and supports gradient-driven acoustic geometry optimization.
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A shifted interface approach for internal discontinuities in poroelastic media
A shifted interface method is extended to transient poroelasticity, enabling first-order accurate modeling of embedded cracks on unfitted meshes with weak or strong interface enforcement.
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Multi-Agent Digital Twins for Strategic Decision-Making using Active Inference
Multi-agent active inference digital twins with contextual inference and streaming ML integration, illustrated via a Cournot competition socio-economic example.
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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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ALL-FEM: Agentic Large Language models Fine-tuned for Finite Element Methods
ALL-FEM fine-tunes LLMs on a corpus of verified FEniCS scripts and uses multi-agent workflows to automate finite element code generation, achieving 71.79% success on 39 benchmarks across elasticity, flow, and coupled problems.
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Local Information Operators for Spatial Identifiability in Distributed-Parameter Inverse Problems in Computational Mechanics
Introduces local information operators that separate pointwise visibility from spatial identifiability via linearized Fisher information and sensitivity Gramians in distributed-parameter inverse problems.
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Scenario-driven optimization of passive vehicle suspensions: explaining the effectiveness of asymmetric damping
Scenario-driven stochastic optimization on a quarter-car model shows that asymmetric damping (rebound exceeding compression) is necessary only under severe ISO 8608 excitations, with the 2-3 ratio emerging as near-optimal in those cases rather than a universal constant.
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Robust Optimal Experimental Design Accounting for Sensor Failure
Robust OED for sensor placement in structural vibration analysis outperforms classical designs on average when accounting for realistic sensor failure scenarios.
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The cross-sectional warping problem for hyperelastic beams: An efficient formulation in Voigt notation
A material formulation of the cross-sectional warping problem for hyperelastic beams is derived in Voigt notation to compute effective nonlinear beam stiffness efficiently.
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Phase-field analysis of fracture in heterogeneous wellbore systems: effects of casing eccentricity and cement-formation interface strength
Numerical experiments with a phase-field model show casing eccentricity reduces crack initiation pressure by up to 30% and triggers new inclined crack modes beyond 50% offset, while weak interfaces cause crack deflection along boundaries.
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Quantifying water-driven geometric uncertainties in powder bed concrete printing using high-resolution 3D modeling
Experiments show small changes in voxel water dosage cause large, directionally biased geometric deviations like edge rounding and swelling in printed concrete, which can be reduced by pre-adjusting the digital CAD model.
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Sequential topology optimization: SIMP initialization for level-set boundary refinement
A sequential topology optimization approach uses SIMP results to initialize level-set refinement via signed distance function transfer on 3D meshes, achieving comparable compliance with up to 4.6x speedup on benchmarks.
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Numerical Optimization of Planar Nozzle Shapes for Fused Deposition Modeling
Angle-based nozzle optimization captures most pressure-loss reductions in FDM extrusion; spline parametrization adds only marginal gains at the cost of manufacturability.
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A framework for probabilistic prediction of remaining useful life in structural materials
A probabilistic framework combining robust regression, Sobol indices, Monte Carlo propagation, and AIC/BIC model selection for uncertainty-aware creep remaining useful life prediction.
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A Comparison of Massively Parallel Performance Portable Particle-in-Cell schemes for electrostatic kinetic plasma simulations
FFT-based PIC is fastest in wall time but limited in use, while PCG, FEM, and PIF alternatives cost more yet scale comparably across AMD and Nvidia GPUs.
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TabPFN Extensions for Interpretable Geotechnical Modelling
Evaluation of TabPFN for soil classification and iterative imputation of geotechnical parameters, with SHAP attributions and uncertainty propagation to reliability metrics.