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Paper Citation Record · LEDGER

Autoregression-Free Neural Operators for Time-Dependent PDEs

As of 15 July 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2605.25413.

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2605.25413 v3

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measured 64 of 64 reference resolution

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Reference resolution

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Outbound references

Observation 51647872-131d-4087-9da5-7c06445552af · outbound

This paper cites A review of physics- informed machine learning in fluid mechanics,.

Autoregression-Free Neural Operators for Time-Dependent PDEs A review of physics- informed machine learning in fluid mechanics,

Reference 1

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This paper cites Current and emerging time-integration strate- gies in global numerical weather and climate prediction,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Current and emerging time-integration strate- gies in global numerical weather and climate prediction,

Reference 2

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This paper cites From traditional to computationally efficient scientific computing algorithms in option pricing: Current progresses with future directions,.

Autoregression-Free Neural Operators for Time-Dependent PDEs From traditional to computationally efficient scientific computing algorithms in option pricing: Current progresses with future directions,

Reference 3

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This paper cites A review of numerical methods for nonlinear partial differential equations,.

Autoregression-Free Neural Operators for Time-Dependent PDEs A review of numerical methods for nonlinear partial differential equations,

Reference 4

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This paper cites Partial differential equations meet deep neural networks: A survey,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Partial differential equations meet deep neural networks: A survey,

Reference 5

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This paper cites Neural operators for accelerating scientific simu- lations and design,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Neural operators for accelerating scientific simu- lations and design,

Reference 6

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This paper cites Neural operator: Learning maps between function spaces with applications to pdes,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Neural operator: Learning maps between function spaces with applications to pdes,

Reference 7

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This paper cites Physics-informed neural networks for solving time-dependent mode-resolved phonon boltzmann transport equation,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Physics-informed neural networks for solving time-dependent mode-resolved phonon boltzmann transport equation,

Reference 8

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This paper cites Temporal neural operator for modeling time-dependent physical phenomena,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Temporal neural operator for modeling time-dependent physical phenomena,

Reference 9

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This paper cites Rethinking materials simulations: Blending direct numerical simula- tions with neural operators,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Rethinking materials simulations: Blending direct numerical simula- tions with neural operators,

Reference 10

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This paper cites When physics meets machine learning: A survey of physics-informed machine learning,.

Autoregression-Free Neural Operators for Time-Dependent PDEs When physics meets machine learning: A survey of physics-informed machine learning,

Reference 11

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This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Autoregression-Free Neural Operators for Time-Dependent PDEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

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This paper cites Seismic traveltime simulation for variable velocity models using physics-informed fourier neural operator,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Seismic traveltime simulation for variable velocity models using physics-informed fourier neural operator,

Reference 13

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Autoregression-Free Neural Operators for Time-Dependent PDEs Domain agnostic fourier neural operators,

Reference 14

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Autoregression-Free Neural Operators for Time-Dependent PDEs Mscalefno: Multi-scale fourier neural op- erator learning for oscillatory functions and wave scattering problems,

Reference 15

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This paper cites Deep learning methods for partial differential equations and related parameter identification problems,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Deep learning methods for partial differential equations and related parameter identification problems,

Reference 16

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Autoregression-Free Neural Operators for Time-Dependent PDEs To- wards physics-informed deep learning for turbulent flow prediction,

Reference 17

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Autoregression-Free Neural Operators for Time-Dependent PDEs Neupde: Neural network based ordinary and partial differential equations for modeling time-dependent data,

Reference 18

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Autoregression-Free Neural Operators for Time-Dependent PDEs Three-dimensional deep learning-based re- duced order model for unsteady flow dynamics with variable reynolds number,

Reference 19

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Autoregression-Free Neural Operators for Time-Dependent PDEs Diffusion models in vision: A survey,

Reference 20

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Autoregression-Free Neural Operators for Time-Dependent PDEs High- resolution image synthesis with latent diffusion models,

Reference 21

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Autoregression-Free Neural Operators for Time-Dependent PDEs Flowturbo: Towards real- time flow-based image generation with velocity refiner,

Reference 22

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Autoregression-Free Neural Operators for Time-Dependent PDEs Image gener- ation: A review,

Reference 23

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Autoregression-Free Neural Operators for Time-Dependent PDEs Pdebench: An extensive benchmark for scientific machine learning,

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Autoregression-Free Neural Operators for Time-Dependent PDEs DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 25

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Autoregression-Free Neural Operators for Time-Dependent PDEs Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 26

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Autoregression-Free Neural Operators for Time-Dependent PDEs Fourier neural operator with learned deformations for pdes on general geometries,

Reference 27

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Autoregression-Free Neural Operators for Time-Dependent PDEs Physics-informed neural operator for learning partial differential equations,

Reference 28

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Autoregression-Free Neural Operators for Time-Dependent PDEs Scientific machine learning through physics–informed neural networks: Where we are and what’s next,

Reference 29

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Autoregression-Free Neural Operators for Time-Dependent PDEs Convolutional neural operators for robust and accurate learning of pdes,

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Autoregression-Free Neural Operators for Time-Dependent PDEs Gnot: A general neural operator transformer for operator learning,

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This paper cites Attention is all you need,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Attention is all you need,

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Autoregression-Free Neural Operators for Time-Dependent PDEs Mamba neural operator: Who wins? transformers vs. state-space models for pdes,

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Autoregression-Free Neural Operators for Time-Dependent PDEs Mamba: Linear-time sequence modeling with selective state spaces,

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Autoregression-Free Neural Operators for Time-Dependent PDEs Recurrent Neural Operators: Stable Long-Term PDE Prediction

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This paper cites SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts.

Autoregression-Free Neural Operators for Time-Dependent PDEs SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts

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This paper cites Flow Matching in Latent Space.

Autoregression-Free Neural Operators for Time-Dependent PDEs Flow Matching in Latent Space

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arxiv_id, observed 2026-06-29T22:24:00.560911Z

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Observation cf603580-bf5f-440d-802a-2fa5d69c4438 · outbound

This paper cites Weditgan: Few-shot image generation via latent space relocation,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Weditgan: Few-shot image generation via latent space relocation,

Reference 38

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Observation f391583b-ba58-4cff-b1e4-e0f24f68cdd3 · outbound

This paper cites Deepmdp: Learning continuous latent space models for representation learning,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Deepmdp: Learning continuous latent space models for representation learning,

Reference 39

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Observation 3368cb24-2918-4113-b949-b098dc2eff55 · outbound

This paper cites Auto-Encoding Variational Bayes.

Autoregression-Free Neural Operators for Time-Dependent PDEs Auto-Encoding Variational Bayes

Reference 40

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local_arxiv, observed 2026-06-29T22:24:00.563538Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:0cbeb88f47771dd4175c217e74884bd89e7cab3b219232b085e6603a4dcaa457

Observation 70d935ab-45ec-48fc-b508-be50635afc0b · outbound

This paper cites Generative adversarial networks,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Generative adversarial networks,

Reference 41

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:f3e3f88cd6ad5e3be84fcfc7adb13842eabd643e7d6b36e52d1ba3ad07b72069

Observation af3d9175-989b-4a7c-a6bd-7f4ff29e3806 · outbound

This paper cites Density estimation using Real NVP.

Autoregression-Free Neural Operators for Time-Dependent PDEs Density estimation using Real NVP

Reference 42

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local_arxiv, observed 2026-06-29T22:24:00.565943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:0729ad1132d06e75538c3c963c390a5856f86ee288a0d4a32c53ab7ac3c51b44

Observation e85373ff-f728-49b8-ba83-a5d5ef286d6f · outbound

This paper cites Glow: Generative flow with invertible 1x1 convolutions,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Glow: Generative flow with invertible 1x1 convolutions,

Reference 43

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:e124fff5b1ee217a4e746bee616824b8576d2ffe57ec9be671822d9be1c4d7bb

Observation 910c927b-e7d8-4125-9160-3d3a3acf6daa · outbound

This paper cites Denoising diffusion probabilistic models,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Denoising diffusion probabilistic models,

Reference 44

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:42d7189f79bfd73dccddfee66cd15fb7ad823609ece4fb1290b1fb72e821ddba

Observation 000f5508-d675-4fd1-83db-6df2cd352d56 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Bert: Pre-training of deep bidirectional transformers for language understanding,

Reference 45

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:46bbab29d3e6f71700511678e80cc9f05d3c71fa4ef57c54c654d37dd2168ba5

Observation fc9133e8-7c7e-4eff-b8e1-366366e5447b · outbound

This paper cites Neural discrete representation learning,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Neural discrete representation learning,

Reference 46

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:a67a8f25b99647b9629ee2c7433eeeeca88995db9fc75640a18c44337e1d42d4

Observation ea515b8d-36fe-44ea-8ff1-16fc6f1c0581 · outbound

This paper cites WaveNet: A Generative Model for Raw Audio.

Autoregression-Free Neural Operators for Time-Dependent PDEs WaveNet: A Generative Model for Raw Audio

Reference 47

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local_arxiv, observed 2026-06-29T22:24:00.540161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:f86f7719edb6ae0470fc7d5dcb56d4afb67bd65face3d1a76ce0fbc39bd73cd0

Observation 97463096-d57d-4867-b64c-9c1a13d4514a · outbound

This paper cites Latent neural operator for solving forward and inverse pde problems,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Latent neural operator for solving forward and inverse pde problems,

Reference 48

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:98714ecc6f186d0605b41520a2b84bb611c6226d99f82872e5b624642a0b0187

Observation 7bf53a16-25e7-4782-bfbf-b72646de805d · outbound

This paper cites Scheduled sampling for sequence prediction with recurrent neural networks,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Scheduled sampling for sequence prediction with recurrent neural networks,

Reference 49

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:015837e3fcf9086abb68918f6985f6f19602bfc9d534a767fe0eb319f3a020b6

Observation a56ecf7d-fcff-4e23-b9dd-091f094e922b · outbound

This paper cites A reduction of imitation learning and structured prediction to no-regret online learning,.

Autoregression-Free Neural Operators for Time-Dependent PDEs A reduction of imitation learning and structured prediction to no-regret online learning,

Reference 50

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:a48a51b5ca9674347857664664dc1a27e2a369146619f5cf496e2821b333da17

Observation 006b7229-045f-4052-b6f5-7b59de887d8d · outbound

This paper cites Neural ordinary differential equations,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Neural ordinary differential equations,

Reference 51

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Observation d61aa958-12a9-441f-832f-c139d5e9ebb7 · outbound

This paper cites Latent ordinary differential equations for irregularly-sampled time series,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Latent ordinary differential equations for irregularly-sampled time series,

Reference 52

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:e3dc0840e9e49a650c75a2949f676aa8c338348e28951446a95a216b64fa8e75

Observation 9dc4c5e3-c4f6-4564-9238-bfa6610398cf · outbound

This paper cites The fast fourier transform,.

Autoregression-Free Neural Operators for Time-Dependent PDEs The fast fourier transform,

Reference 53

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Observation 8f9b9389-49de-4a15-9024-bee72065c2a8 · outbound

This paper cites Learning repre- sentations by back-propagating errors,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Learning repre- sentations by back-propagating errors,

Reference 54

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:523fe72b74ef7a1543513ce00e343d9906ed3eb209760cceb7bc47513eb9b447

Observation aa955c41-de93-4a78-8c5e-d207a7d634ae · outbound

This paper cites Computing nearly singular solutions using pseudo- spectral methods,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Computing nearly singular solutions using pseudo- spectral methods,

Reference 55

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Observation 53757c96-339a-4088-bbec-c7086b20a765 · outbound

This paper cites A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type,.

Autoregression-Free Neural Operators for Time-Dependent PDEs A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type,

Reference 56

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:5f303d46aac1165ba3aa37b5a415bd395a81ef404adcd5f892d8d8070faa90cd

Observation 89625394-733f-4806-b95c-3990ae7b7fd3 · outbound

This paper cites U-NO: U-shaped Neural Operators.

Autoregression-Free Neural Operators for Time-Dependent PDEs U-NO: U-shaped Neural Operators

Reference 57

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metadata mismatch
arxiv_id, observed 2026-06-29T22:24:00.534677Z

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:cf0d06a936c9ee29b88273f7c2d0756e1712e72cbab38ba5dfe0c5e87122134b

Observation 8a8a9bfb-e46e-4476-a682-a2848d94b3ed · outbound

This paper cites Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems,

Reference 58

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:64f58085d86c4a7336c9c963b46edcd3a21b13f9afcb287ed255224d89678c6f

Observation f370f4ad-aaef-4361-890a-5f159f5495ea · outbound

This paper cites Lightweight fourier neural operator for time-dependent partial differential equations,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Lightweight fourier neural operator for time-dependent partial differential equations,

Reference 59

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:99cfd969b88de1597c997a0711800f35e9cb5b8e742373b89cc2aac800c8239b

Observation 7c4991bb-58af-4208-a42c-b6548bb093b2 · outbound

This paper cites FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers.

Autoregression-Free Neural Operators for Time-Dependent PDEs FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers

Reference 60

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verified exact
arxiv_id, observed 2026-06-29T22:24:00.538641Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:d9c8120b9f500a4233570dba9aece953d6b9e75a7b6b8b683e9394a179ff6056

Observation 903645fe-7b05-4e8e-bade-55657d07ddae · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Autoregression-Free Neural Operators for Time-Dependent PDEs Adam: A Method for Stochastic Optimization

Reference 61

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local_arxiv, observed 2026-06-29T22:24:00.554698Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:f701152c36f9fa89126eed39948124c7af7b2c1766912a558668398dbd56c06a

Observation 0dcd953b-4b19-4283-b561-ec0c0e2f5cbb · outbound

This paper cites Message Passing Neural PDE Solvers.

Autoregression-Free Neural Operators for Time-Dependent PDEs Message Passing Neural PDE Solvers

Reference 62

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arxiv_id, observed 2026-06-29T22:24:00.536704Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:12d722cee9b3d67ce0c606667ce927a797f5de6d6e9ab6cca3fd29f1f539dad7

Observation 26a41802-7396-4e1f-b8fb-ab8a6c8f9ada · outbound

This paper cites Deep residual learning for image recognition,.

Autoregression-Free Neural Operators for Time-Dependent PDEs Deep residual learning for image recognition,

Reference 63

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source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:81a49b223808a32885147db711721c3adb65fe74f74c55f80824e6bf4213ffec

Observation 1a4d1e40-9405-4d15-ae74-41793f339805 · outbound

This paper cites A Tutorial on Principal Component Analysis.

Autoregression-Free Neural Operators for Time-Dependent PDEs A Tutorial on Principal Component Analysis

Reference 64

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malformed identifier
local_arxiv, observed 2026-06-29T22:24:00.553102Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-29T22:18:06.388832Z digest=sha256:b3169303b698fcde3e716e9c1207632b2c903c5c9343b7123a8e391af2c69276

Pith citing papers

Observation 36d84e46-de0e-4e0f-8a2e-7da421c9a7ff · inbound

TF-SNO: Time-Frequency Gated Spectral Neural Operators for Learning Non-Stationary Partial Differential Equations cites this paper.

TF-SNO: Time-Frequency Gated Spectral Neural Operators for Learning Non-Stationary Partial Differential Equations Autoregression-Free Neural Operators for Time-Dependent PDEs

Reference 40

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local_arxiv, observed 2026-07-04T06:29:37.168322Z

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No event found in the named queried sources as of 2026-07-15T06:30:58.975436+00:00.

source=pdf_text observed=2026-06-26T14:29:01.766578Z digest=sha256:ac52722fdbaf3a1b1f3334c2559dd2cd5f23eb099098c6ae34f7101abbad9e2b