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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations

As of 19 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2509.01234.

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pith.paper-citation-record.v1
2509.01234 v1

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measured 64 of 64 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

64 of 64 outbound references displayed

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External citation measurements

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Outbound references

Observation 6c6296a4-5ca4-41aa-af01-3b362cc1a1ed · outbound

This paper cites Highly accurate protein structure prediction with alphafold.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Highly accurate protein structure prediction with alphafold

Reference 1

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Observation 123b45eb-8bd9-421f-b430-da38cfc80110 · outbound

This paper cites Prob- abilistic weather forecasting with machine learning.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Prob- abilistic weather forecasting with machine learning

Reference 2

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Observation 0f9af946-bf81-4171-a1e2-4f96d6136c7c · outbound

This paper cites Denoising diffusion probabilistic models.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Denoising diffusion probabilistic models

Reference 3

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Observation f8080c4a-ca3d-4dfe-9270-97a7de2ee367 · outbound

This paper cites Operator learning for predicting multiscale bubble growth dynamics.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Operator learning for predicting multiscale bubble growth dynamics

Reference 4

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Observation 8a97fe3b-50fe-452b-b1ea-b8f1a3ca691d · outbound

This paper cites Systems biology informed deep learning for inferring parameters and hidden dynamics.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Systems biology informed deep learning for inferring parameters and hidden dynamics

Reference 5

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Observation ce1b5f7c-2662-4de3-ae77-29d648c115e3 · outbound

This paper cites Promising directions of machine learning for partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Promising directions of machine learning for partial differential equations

Reference 6

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Observation 4e0a399c-4024-43ea-adf1-ba21bf1c7dd3 · outbound

This paper cites Artifi- cial intelligence for partial differential equations in computational mechanics: A review.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Artifi- cial intelligence for partial differential equations in computational mechanics: A review

Reference 7

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Observation ea72d19b-6b6e-4ab0-a416-d82ebcb007ee · outbound

This paper cites Neural operator prediction of linear instability waves in high-speed boundary layers.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Neural operator prediction of linear instability waves in high-speed boundary layers

Reference 8

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Observation b4e0a869-fab1-4d7d-86da-deb8b4df0606 · outbound

This paper cites Identifying heterogeneous micromechanical properties of biological tissues via physics-informed neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Identifying heterogeneous micromechanical properties of biological tissues via physics-informed neural networks

Reference 9

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Observation 43227ff2-6733-4829-b810-a1dbe71577b8 · outbound

This paper cites A noninvasive method for determining elastic parameters of valve tissue using physics-informed neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations A noninvasive method for determining elastic parameters of valve tissue using physics-informed neural networks

Reference 10

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Observation 97fc8843-16d7-4550-972d-0cd853afc5f3 · outbound

This paper cites Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators

Reference 11

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Observation 4add8b99-214b-492a-ad7e-58108887cb1f · outbound

This paper cites Data-driven iden- tification of parametric partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Data-driven iden- tification of parametric partial differential equations

Reference 12

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Observation 407ff9d9-0da7-4eb3-94c3-91531b601057 · outbound

This paper cites Data-driven deep learning of partial differential equations in modal space.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Data-driven deep learning of partial differential equations in modal space

Reference 13

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Observation 17b88dd0-2fc6-464b-a60c-6e2630bd2306 · outbound

This paper cites Data driven approximation of parametrized PDEs by reduced basis and neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Data driven approximation of parametrized PDEs by reduced basis and neural networks

Reference 14

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Observation 652bbe71-1b0a-47bb-b91b-9da1f6aea301 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 15

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Observation 1b523307-53ce-42f3-b766-eea5ac7c4259 · outbound

This paper cites DeepXDE: A deep learning library for solving differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations DeepXDE: A deep learning library for solving differential equations

Reference 16

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed machine learning

Reference 17

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Observation 5a621549-4d72-485c-8019-5541f9b4b362 · outbound

This paper cites Scientific machine learning through physics–informed neural networks: Where we are and what’s next.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Scientific machine learning through physics–informed neural networks: Where we are and what’s next

Reference 18

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Observation bf11c3e3-bf91-421b-89e7-55cce2929e15 · outbound

This paper cites Physics-informed neural networks for inverse problems in nano-optics and metamaterials.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Reference 19

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Observation e90e9345-bff5-4ff2-a921-4008038607f9 · outbound

This paper cites PINNacle: A comprehensive benchmark of physics- informed neural networks for solving PDEs.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations PINNacle: A comprehensive benchmark of physics- informed neural networks for solving PDEs

Reference 20

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Automatic differentiation in PyTorch

Reference 21

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Observation 16663ee8-c1d5-436e-96e8-e8b17477b8f1 · outbound

This paper cites fPINNs: Fractional physics-informed neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations fPINNs: Fractional physics-informed neural networks

Reference 22

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Observation 66b8df96-716a-415d-bcf4-73c9633c9fff · outbound

This paper cites Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems

Reference 23

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed neural networks with hard constraints for inverse design

Reference 24

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Dive into Deep Learning

Reference 25

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This paper cites Physics-informed multi-LSTM networks for meta- modeling of nonlinear structures.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed multi-LSTM networks for meta- modeling of nonlinear structures

Reference 26

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Approximation theory of the MLP model in neural networks

Reference 27

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This paper cites Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Reference 28

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RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Koop- man neural operator as a mesh-free solver of non-linear partial differential equations

Reference 29

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Observation c251741e-6b82-4924-8b51-e3679f43e22c · outbound

This paper cites Approximations of continuous functionals by neural networks with application to dynamic systems.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Approximations of continuous functionals by neural networks with application to dynamic systems

Reference 30

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This paper cites A comprehensive and fair comparison of two neural operators (with practical extensions) based on F AIR data.Computer Methods in Applied Mechanics and Engineering, 393:114778, 2022.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations A comprehensive and fair comparison of two neural operators (with practical extensions) based on F AIR data.Computer Methods in Applied Mechanics and Engineering, 393:114778, 2022

Reference 31

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Observation 8645447f-51ba-4608-ba9a-42b1712a3cf7 · outbound

This paper cites Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport

Reference 32

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3fa9a8e6-2bae-48ac-b427-16e3be83fe9d · outbound

This paper cites Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness

Reference 33

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f2cc7c97-12e3-4028-9ee9-eb24982e9003 · outbound

This paper cites A scalable framework for learning the geometry-dependent solution operators of partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations A scalable framework for learning the geometry-dependent solution operators of partial differential equations

Reference 34

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raw_fallback, observed 2026-08-05T12:50:06.935282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.099299Z digest=sha256:92426af4f8b03c744df08eadcaae63a5a9a5bcc3685230bd41ddafaff0a64b37

Observation ba041a1b-54ef-4a52-a181-8d4c20e85b22 · outbound

This paper cites DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approxi- mation by neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approxi- mation by neural networks

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.910091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.151783Z digest=sha256:3cb145439a5f7f8c0e674c9379d1c7af0361b42c1eae7bcaf340ca0c73b1e588

Observation 6a7fd179-30c0-4d77-9231-bfe4c37fd7e5 · outbound

This paper cites DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.880579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.240534Z digest=sha256:bd8e01a01b49e46ad08a07cf2b9b5a3f44c630001e3d94d4a9cec658ee3baf61

Observation 8a26da21-cc06-4d37-8fad-dafaa3e6faed · outbound

This paper cites Stochastic operator network: A stochastic maximum principle based approach to operator learning.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Stochastic operator network: A stochastic maximum principle based approach to operator learning

Reference 37

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verified exact
raw_fallback, observed 2026-08-05T12:50:05.161148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.301748Z digest=sha256:81c7e971ba77dd4dc026f7b7440b682eaca606879375827ca51567069aec0007

Observation 73444aa6-3ea8-41cf-aeb5-bd8d599f40d7 · outbound

This paper cites Fundiff: Diffusion models over function spaces for physics-informed generative modeling.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Fundiff: Diffusion models over function spaces for physics-informed generative modeling

Reference 38

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:02.371896Z digest=sha256:9b681b1e64746912271af33a02a8cc371868f32c8f95dcffd9cd03e8a32c4c65

Observation c6122911-2e2b-4eab-bac3-13bc195d199e · outbound

This paper cites Quantum DeepONet: Neural operators accelerated by quantum computing.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Quantum DeepONet: Neural operators accelerated by quantum computing

Reference 39

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.855904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.441695Z digest=sha256:0e103c6a72eca4e823c55e4ee9aba9a173c22c50b567638be09370f888de3152

Observation f159f134-6a07-41b9-b451-2d4402a39cfa · outbound

This paper cites MIONet: Learning multiple-input operators via tensor product.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations MIONet: Learning multiple-input operators via tensor product

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.834048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.515257Z digest=sha256:e7da1e064bb78e3afc275025174a0c071232204d67da5a0ee00324253c78e54d

Observation 579b8d1f-4920-4e90-9f3a-83a2f17c957e · outbound

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

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 41

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no resolver link, observed 2026-08-05T12:50:02.576753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7c353b4f-7b82-42e5-bf71-22fc88bb0460 · outbound

This paper cites Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.808222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.670221Z digest=sha256:dfb2f01bc4c6bad33bd3509c9415a6ea8d360b44dbdecb0aeb6a2965996a6577

Observation 2fd71e35-759d-4543-8ddc-c2a67037beed · outbound

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

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.782369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.716213Z digest=sha256:8eb3ee99c85677b15378fd40c0023fffa06f992687779411422b2e7a121a0cee

Observation 9ba11789-5ddb-445e-bf52-3dc032987f1d · outbound

This paper cites Laplace neural operator for solving differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Laplace neural operator for solving differential equations

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.753605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.776984Z digest=sha256:a1a3fbe68275a3e2f680cbdea14e13d248f86f7a42d13f29f6312d2f77524338

Observation 5e9ec449-d0c7-4f3f-a063-c987daffb5da · outbound

This paper cites Efficient training of physics-informed neural networks via importance sampling.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Efficient training of physics-informed neural networks via importance sampling

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.731361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.839108Z digest=sha256:634ba9f989f52414b2b38461982a10ee1c2539c0ebbe0312e7a546d6ab08773d

Observation a2057824-54c0-499a-a2a4-9232a68dcaa9 · outbound

This paper cites Gradient-enhanced physics- informed neural networks for forward and inverse pde problems.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Gradient-enhanced physics- informed neural networks for forward and inverse pde problems

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.710135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.908841Z digest=sha256:2ab5b2418415b25ff268769de60732ced3be197642560ce18601b546aa93035e

Observation 76193420-4614-401e-b55d-8394267cbab3 · outbound

This paper cites A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.690861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:02.967297Z digest=sha256:bfaf6c20b4ae2337c36e4b6960e3f8e0aac098fd4420518c49a40b639b46f74d

Observation 1555c74a-fe4e-4914-a321-da5218faa833 · outbound

This paper cites Residual-based adaptivity for two-phase flow simulation in porous media using physics-informed neural networks.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Residual-based adaptivity for two-phase flow simulation in porous media using physics-informed neural networks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.670234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.035614Z digest=sha256:519169a7b791fffd01d26e7c2816cef5849ca26139edb2f1ff84048a66d3dac3

Observation d0600118-5bee-4d9c-9b19-5179938cc9a0 · outbound

This paper cites Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling

Reference 49

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:03.059365Z digest=sha256:c98983b30ca4c88a1587656a3eb3eb6237a0e91632a69fbd1d76c7daea21d371

Observation f9622b03-1486-427d-9ed6-8fc4fd35c006 · outbound

This paper cites Importance sampling: a review.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Importance sampling: a review

Reference 50

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.650040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.124180Z digest=sha256:2edf75a338e4339dd5b118fb0c05ea7dedba2a7a8c0511389c04ff1089d31f71

Observation 5bedffef-dd01-4b76-b1ba-7018fe751b95 · outbound

This paper cites DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.627666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.182065Z digest=sha256:2fcc50596deae086fb01e2942a900c3506987f51dbde2c376af0e746f10e0033

Observation 45927681-e8f3-4e04-b294-c2b35a5b4fa8 · outbound

This paper cites Deep adaptive sampling for surrogate modeling without labeled data.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Deep adaptive sampling for surrogate modeling without labeled data

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:50:04.687230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.268125Z digest=sha256:cc06f3d949c0a54a66fb870a303183c2548aeb4e5d51339804a6ebc582e6b401

Observation 611d599d-0ce7-4f99-b2dc-49fb33440c63 · outbound

This paper cites Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.608716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.331111Z digest=sha256:37ee6c51c239d0b883b23fe22b6bde026c8cae1c37ee148268b04d8b597630c5

Observation 654addb5-ef1e-4af7-9401-efc888914420 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Adam: A Method for Stochastic Optimization

Reference 54

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no resolver link, observed 2026-08-05T12:50:03.410931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:03.410931Z digest=sha256:2c5c93646f0c754379891fc6321621f0ee398de92c9710aa9244b318d804efc7

Observation d787b267-845c-43fc-9e55-6847e1705a8a · outbound

This paper cites PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular do- main.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular do- main

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.576110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.502543Z digest=sha256:c13378b5ea2c42d65b8519c1d176d00bccc303612ad8ef8fec1f6b77d41e0cbf

Observation 360b6ecc-cfba-4c55-8897-04bf0831751b · outbound

This paper cites Machine learning-based soil– structure interaction analysis of laterally loaded piles through physics-informed neural net- works.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Machine learning-based soil– structure interaction analysis of laterally loaded piles through physics-informed neural net- works

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.552130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.562402Z digest=sha256:2b65bf9727db4f0ceb5e42736cd1dfb6c7d4dffeec8fa3348eb7b305c18b62bd

Observation e74d28e3-3d74-44ce-b16b-37791fbc88da · outbound

This paper cites Physics-informed neural net- works for large deflection analysis of slender piles incorporating non-differentiable soil-structure interaction.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Physics-informed neural net- works for large deflection analysis of slender piles incorporating non-differentiable soil-structure interaction

Reference 57

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.529480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.618324Z digest=sha256:9af9a412f79c27920d3a502c0cbc8cd6abe2ec8924f70b4b270c2f2f088439a3

Observation 110ff81e-6ebd-41fb-8767-e250c9762437 · outbound

This paper cites Kernel smoothing.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Kernel smoothing

Reference 58

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no resolver link, observed 2026-08-05T12:50:03.679198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:03.679198Z digest=sha256:dccbf1546d38915c2427e17efcd5ccbdba4b9c4ec1622fe0c4d24c5f04232f1b

Observation 01023545-92e8-496d-b9c6-52f624a7d2f2 · outbound

This paper cites Neural topology optimization via active learning for efficient channel design in turbulent mass transfer.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Neural topology optimization via active learning for efficient channel design in turbulent mass transfer

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.492703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.766526Z digest=sha256:fb2736b4b6b36739b76e958751f93cc1a13b650113824998df866f26ece3e2b2

Observation 22dedcc1-b717-4179-8f11-6f4384133a30 · outbound

This paper cites Active operator learning with predictive uncertainty quantification for partial differential equations.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Active operator learning with predictive uncertainty quantification for partial differential equations

Reference 60

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no resolver link, observed 2026-08-05T12:50:03.831999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:03.831999Z digest=sha256:f26d634dc31a2397d40a6a3a9b4cad0f0dd231354aef35a635b0d9211176679d

Observation 6860861f-d7ea-4932-bb9b-25f69ed85cb7 · outbound

This paper cites A collection of 2D elliptic problems for testing adaptive grid refinement algorithms.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations A collection of 2D elliptic problems for testing adaptive grid refinement algorithms

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.469455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:03.920154Z digest=sha256:8f65eaf60e5311984c52d56c735ab303831db9e886927ac3c21bf3afc4278b68

Observation 986c7854-b4c3-4898-b64a-634d77b63455 · outbound

This paper cites Learning the solution operator of para- metric partial differential equations with physics-informed DeepONets.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Learning the solution operator of para- metric partial differential equations with physics-informed DeepONets

Reference 62

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no resolver link, observed 2026-08-05T12:50:04.006350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:50:04.006350Z digest=sha256:e547214bd692478bfcdd7a1f5c8c4ce594de0cc28c7a1da518ddaccf0a2eec13

Observation 967052f2-5860-445b-8072-cd98825c127f · outbound

This paper cites Global stabilization of two dimensional viscous Burg- ers’ equation by nonlinear Neumann boundary feedback control and its finite element analysis.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Global stabilization of two dimensional viscous Burg- ers’ equation by nonlinear Neumann boundary feedback control and its finite element analysis

Reference 63

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verified fuzzy
raw_fallback, observed 2026-08-05T12:50:06.186343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:04.072741Z digest=sha256:4a0d26ac45f791b221248af4648002c570e42a71f7d7a1ea89a92b608eaf7b66

Observation 7e2283fa-3267-4b5c-a5af-08c8ed0eac86 · outbound

This paper cites PROSE: Predicting multiple operators and symbolic expressions using multimodal transformers.

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations PROSE: Predicting multiple operators and symbolic expressions using multimodal transformers

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:50:05.945445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T12:50:04.201305Z digest=sha256:bb340cba00cd713e5d15c6848905e07321a7e49b97c1dc91fecfa3661f4b2469

Pith citing papers

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