Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:16:23.174655Z
Paper Citation Record · LEDGER
As of 24 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2504.13422.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:16:23.174655Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:13:03.906478Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T10:13:04.096759Z
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 97f2702c-a94a-4520-ae53-5dfbbc981c7e · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f3eb5f00-b022-484b-ac8e-619228924ac5 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Crystal plasticity simulation study on the influence of texture on earing in steel
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e7cbca37-93df-44bb-aeda-3b3b8ad0371f · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f04aa6cf-3163-4b99-8372-5bc3cb4a31ee · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 45f6a3ac-73f0-4edb-b088-7436323fa79a · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Green algorithms: quantifying the carbon footprint of computation
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c0ac9be0-d64d-4717-81db-d79282148623 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning MPI+X: task-based parallelisation and dynamic load balance of finite element assembly
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation aee00671-d3cf-4379-a2dc-a28c7471c57f · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning A heterogeneous parallel model of unstructured mesh finite element method based on CPU+GPU.Highlights in Science, Engineering and Technology, 77:173–178, 2023
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 44472931-4e44-46d2-bf8c-18f12f97b1bd · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Continuum Scale Simulation of Engineering Materials: Fundamentals – Microstructures – Process Applications
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 97fc2ff2-06c1-40ed-be38-6137fdc18fcb · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Microstructure-sensitive computational structure-property relations in materials design
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6a2929b7-94ed-4c32-a2d7-9eff7db201a3 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Microstructure sensitive design for performance optimization
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1461f2ca-491a-424b-b800-f5ec38f68aad · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Neural operators for accelerating scientific simulations and design
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 33e42af4-1325-4ce2-a084-32a282f4cf2b · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74db57ce-40e7-4615-aa6c-333e4f9d4795 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Fourier Neural Operator for Parametric Partial Differential Equations
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf02e7a9-7227-4d0a-8572-3fab903c5249 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6d1a3c1-0f1d-4a07-9b62-72d76e2441d8 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Laplace neural operator for solving differential equations
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bff4893-d0dc-4d3f-93db-e0a03b71664e · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fdc1283-c31d-429b-a033-810f9a334cea · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87384f5d-fc58-43d6-8dd4-b478ff5caba1 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO)
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fec60fc-1101-473b-844b-247b175a99e1 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Thermodynamically-Informed Iterative Neural Operators for Heterogeneous Elastic Localization
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4942e0ec-3227-4c3b-90b9-3041311f1b12 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Learning deep implicit Fourier neural operators (IFNOs) with applications to heterogeneous material modeling
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f04cdb80-74ea-4a46-8932-952869680878 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Recurrent localization networks applied to the lippmann-schwinger equation
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dc935cf1-56af-4fd7-8225-2429dddb5df4 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Prediction of local elasto-plastic stress and strain fields in a two-phase composite microstructure using a deep convolutional neural network
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1614d0b1-83ca-4502-83f6-1ac89f37322e · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Computational Methods for Microstructure-Property Relationships, volume
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6888c4c8-1578-4f7b-ad8c-baa7fed682f6 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7643e53b-2d89-40c2-9632-11617c86f47c · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Learning the solution operator of parametric partial differential equations with physics-informed DeepONets
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fda347f0-cd33-4a38-b0df-c43e2d48017a · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics-informed neural operator for learning partial differential equations
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be2d3dba-4461-4793-8ed4-befd291b94c2 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics-informed deep neural operator networks
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f01feb0-5aea-44d6-ae1f-02fe6655aac6 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2ee1cfc-2a03-44cd-b38b-dc44baa698dc · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Multifidelity modeling for physics- informed neural networks (PINNs)
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bf6f2970-c904-4f38-afa2-a661ce540027 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics-informed deep learning for 3D modeling of light diffraction from optical metasurfaces
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f445864c-8b40-455b-8ecb-1df16764c47d · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4c40c1e1-3df2-476d-a6c6-4ec060be7699 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Learning a neural solver for parametric PDE to enhance physics-informed methods, 2024
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e881778c-7c31-4060-bdae-2593dba1f6d1 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics- informed neural networks with hard constraints for inverse design
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0dc967bb-4791-46aa-bd3b-bf48901d4511 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Beyond finite layer neural networks: Bridging deep architectures and numerical differential equations
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 649bfe2e-4631-45f4-9d30-113223db28ab · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Hamiltonian neural networks
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation facd458f-a327-4ece-9e85-3dffb9692684 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Machine learning structure preserving brackets for forecasting irreversible processes
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 889e2f52-0151-4136-9563-f8d42b645905 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Structure-preserving sparse identification of nonlinear dynamics for data-driven modeling
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ff341d0f-fe7c-49c2-9c1a-2db7d0ffe3a1 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c90ac16-63a0-40e8-af3b-86187abe3dce · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Structure preserving neural networks and applications to optimal control problems
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cad47845-4333-4540-b505-ab1885333ae7 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Convolutional neural operators
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0d0f0cd1-6aa3-4374-8e6d-52b6aabcfc31 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Universal physics transformers: A framework for efficiently scaling neural operators
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a39c986c-f856-49f4-8898-8be29f2999a8 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning A Spectral-based Physics-informed Finite Operator Learning for Prediction of Mechanical Behavior of Microstructures
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cc8d3f2-4a95-4d2d-bb77-f32de2fca7e2 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09283232-5317-4258-aef6-7c0124ab0cea · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning McDowell
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f260eb59-fbb2-495a-8100-47c58c526ada · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning When and why PINNs fail to train: A neural tangent kernel perspective
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e912cea-061a-4a67-91ed-1210b06915ca · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ccea45a6-23a7-45a2-adcf-bd362462f09a · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Simulated microstructure-sensitive extreme value probabilities for high cycle fatigue of duplex Ti–6Al–4V
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation deb9e426-730f-4f80-93e6-5307d6d9eaac · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Physics- informed machine learning
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 403862d0-2924-4a51-aa64-8ca15e092f54 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Embedding hard physical constraints in neural network coarse-graining of three-dimensional turbulence
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dd7b2adf-ba5a-439f-b2e6-1947bd2f43bb · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning A physics-encoded Fourier neural operator approach for surrogate modeling of divergence-free stress fields in solids
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f44660fc-abcc-47f5-a1f8-9c237a3bd560 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Denoising diffusion probabilistic models
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c65d0825-6a46-4721-9c0e-59b710b84da7 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Statistically conditioned polycrystal generation using denoising diffusion models
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ebcf8248-1ff3-4d50-9e66-cf5d059d04b7 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Adam: A Method for Stochastic Optimization
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d13c2dd-06a8-4eea-84bc-874664e89dfa · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Microstructure reconstruction of 2D/3D random materials via diffusion-based deep generative models
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 41230a7c-7c1d-490e-b610-6d4b6a8d52bd · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Generating 3D images of material microstructures from a single 2D image: a denoising diffusion approach
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 84072ec5-81a6-4a07-a1c5-75e3ca42407b · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning A review of activation function for artificial neural network
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 077b6953-08a0-453c-a229-86ec13ba1c9b · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Decoupled Weight Decay Regularization
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bc5a6ba-2c43-4afe-aaac-3f5d565c22e5 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning High-performance large-scale image recognition without normalization
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c210884-a0e7-4478-8625-68175c1a45ce · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning On the Convergence of Adam and Beyond
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5aa2a9a0-c140-4e4a-89f8-e1584f1ab354 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Optuna: A next-generation hyperparameter optimization framework
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2533dc65-29f2-4b3f-bd61-4751ec28d048 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Tree-Structured Parzen Estimator: Understanding Its Algorithm Components and Their Roles for Better Empirical Performance
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce943219-8410-4ad9-9f6d-28e741d661bb · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 064bb34c-a00a-4c40-9fa0-c466235ef8c8 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 49e7b39e-5281-4953-91df-646544392193 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Groeber and Michael A
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b04ca989-f9fb-4eeb-b619-b153341ebcc1 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning Robertson, Daniel Diaz, Coleman Alleman, Zhen Zhang, Anthony D
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0ace2888-9dad-46a1-9365-e6b66a881950 · outbound
Equilibrium Conserving Neural Operators for Super-Resolution Learning medium”|“high
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 50e96d94-d7fc-40dd-9e94-57b16ee33027 · inbound
Global Stress Generation and Spatiotemporal Super-Resolution Physics-Informed Operator under Dynamic Loading for Two-Phase Random Materials Equilibrium Conserving Neural Operators for Super-Resolution Learning
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.