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Paper Citation Record · LEDGER

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch

As of 7 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2608.01850.

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2608.01850 v1

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measured 45 of 45 reference resolution

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45 of 45 outbound references displayed

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Outbound references

Observation 0ab68b74-6086-4db8-bbdd-13f61fac0600 · outbound

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

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 1

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Observation 8d69d100-a79d-4279-8601-0a23c54a8185 · outbound

This paper cites Physics-informed machine learning,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Physics-informed machine learning,

Reference 2

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Observation 62ff5c0a-68a9-462b-aa92-70da4bd39d73 · outbound

This paper cites Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations,

Reference 3

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Observation 31014f48-55f6-4d9c-8ccf-02013bee09b6 · outbound

This paper cites B-PINNs: Bayesian physics- informed neural networks for forward and inverse PDE problems with noisy data,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch B-PINNs: Bayesian physics- informed neural networks for forward and inverse PDE problems with noisy data,

Reference 4

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Observation 43f9a22e-616b-4cf3-a297-182d2868d7bf · outbound

This paper cites Multi-output physics-informed neural networks for forward and inverse pde problems with uncertainties,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Multi-output physics-informed neural networks for forward and inverse pde problems with uncertainties,

Reference 5

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Observation 95e7e149-edf8-4d02-a805-12313a5a342d · outbound

This paper cites Physics-informed neural networks for quantum eigenvalue problems,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Physics-informed neural networks for quantum eigenvalue problems,

Reference 6

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Observation b692ece7-6a70-44a4-88d0-adc644d94f20 · outbound

This paper cites Solving two-dimensional quantum eigenvalue problems using physics-informed machine learning.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Solving two-dimensional quantum eigenvalue problems using physics-informed machine learning

Reference 7

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Observation bf65e431-6a32-4d64-b0e8-2f2787329c80 · outbound

This paper cites Local gyrokinetic collisional theory of the ion-temperature gradient mode,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Local gyrokinetic collisional theory of the ion-temperature gradient mode,

Reference 8

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Observation 7f37aef7-f2f5-4478-8009-5c58f23d7cab · outbound

This paper cites Self-organized evolution of the internal transport barrier in ion-temperature-gradient driven gyrokinetic turbu- lence,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Self-organized evolution of the internal transport barrier in ion-temperature-gradient driven gyrokinetic turbu- lence,

Reference 9

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Observation 62cd6c9e-7851-4ba9-8149-23ebccd2fb69 · outbound

This paper cites Complex structure of turbulence across the ASDEX upgrade pedestal,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Complex structure of turbulence across the ASDEX upgrade pedestal,

Reference 10

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Observation 54edf30c-a391-4320-88ea-a03e0b366306 · outbound

This paper cites Using a local gyrokinetic code to study global ion temperature gradient modes in tokamaks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Using a local gyrokinetic code to study global ion temperature gradient modes in tokamaks,

Reference 11

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Observation 2f833dd6-75ac-4162-9491-55fb490ada12 · outbound

This paper cites Generalised ballooning theory of two-dimensional tokamak modes,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Generalised ballooning theory of two-dimensional tokamak modes,

Reference 12

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Observation e8c80764-7425-4697-85dc-7d53c63c8f09 · outbound

This paper cites Linear gyrokinetic theory of two- dimensional ion-temperature-gradient mode in tokamaks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Linear gyrokinetic theory of two- dimensional ion-temperature-gradient mode in tokamaks,

Reference 13

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Observation a251a92f-db90-48f2-9d0a-7cf1c4c83fe7 · outbound

This paper cites Global theory to understand toroidal drift waves in steep gradient,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Global theory to understand toroidal drift waves in steep gradient,

Reference 14

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Observation 172a7675-89f9-454d-a1c8-cd0307e12a71 · outbound

This paper cites Numerical study of long-wavelength drift- wave instabilities in steep gradients,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Numerical study of long-wavelength drift- wave instabilities in steep gradients,

Reference 15

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Observation 7ef9e1e0-1e6d-4b98-9929-8099c9dff40c · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch When and why pinns fail to train: A neural tangent kernel perspective,

Reference 16

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Observation dad13580-4eb6-4c17-8655-d948bbbd945b · outbound

This paper cites Characterizing possible failure modes in physics-informed neural networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Characterizing possible failure modes in physics-informed neural networks,

Reference 17

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Observation b6dcd44a-0936-44e1-a56f-f23151dcb885 · outbound

This paper cites Challenges in training PINNs: A loss landscape perspective,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Challenges in training PINNs: A loss landscape perspective,

Reference 18

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Observation 832c60db-97f5-45c5-ba5f-93a5ac8de86b · outbound

This paper cites Fourier features let networks learn high frequency functions in low dimensional domains,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Fourier features let networks learn high frequency functions in low dimensional domains,

Reference 19

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Observation f740650f-1690-4fa3-a02f-2668a8f3f4eb · outbound

This paper cites Deep complex networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Deep complex networks,

Reference 20

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Observation 200d0365-17a9-49dd-9545-68ca503beb75 · outbound

This paper cites Properties of ion temperature gradient and trapped electron modes in tokamak plasmas with inverted density profiles,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Properties of ion temperature gradient and trapped electron modes in tokamak plasmas with inverted density profiles,

Reference 21

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Observation 5c416cac-ed63-404b-8d59-5a5baa9c0d8b · outbound

This paper cites On drift wave instabilities excited by strong plasma gradients in toroidal plasmas,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch On drift wave instabilities excited by strong plasma gradients in toroidal plasmas,

Reference 22

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Observation 3e93ed28-04f4-4a18-a14b-d237e842b23f · outbound

This paper cites Shear, periodicity, and plasma ballooning modes,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Shear, periodicity, and plasma ballooning modes,

Reference 23

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Observation de213010-1ff9-4dc9-adbb-399b3494b6fd · outbound

This paper cites Finite ballooning angle effects on ion temperature gradient driven mode in gyrokinetic flux tube simulations,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Finite ballooning angle effects on ion temperature gradient driven mode in gyrokinetic flux tube simulations,

Reference 24

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This paper cites Saad,Numerical Methods for Large Eigenvalue Problems, revised edition ed.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Saad,Numerical Methods for Large Eigenvalue Problems, revised edition ed

Reference 25

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Unresolved cited work

Reference 26

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This paper cites Unconventional ballooning structures for toroidal drift waves,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Unconventional ballooning structures for toroidal drift waves,

Reference 27

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Observation 6af321ad-7bc7-45b9-a4b9-02d5ac7fde96 · outbound

This paper cites Multiple ion tem- perature gradient driven modes in transport barriers,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Multiple ion tem- perature gradient driven modes in transport barriers,

Reference 28

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This paper cites Threshold for the destabilisation of the ion-temperature-gradient mode in magnetically confined toroidal plasmas,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Threshold for the destabilisation of the ion-temperature-gradient mode in magnetically confined toroidal plasmas,

Reference 29

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This paper cites Scientific machine learning through physics-informed neu- ral networks: Where we are and what’s next,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Scientific machine learning through physics-informed neu- ral networks: Where we are and what’s next,

Reference 30

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This paper cites Understanding and mitigating gradient flow pathologies in physics-informed neural networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Understanding and mitigating gradient flow pathologies in physics-informed neural networks,

Reference 31

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This paper cites Leveraging physics-informed neural computing for transport simulations of nuclear fusion plasmas,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Leveraging physics-informed neural computing for transport simulations of nuclear fusion plasmas,

Reference 32

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This paper cites Reconstruction of plasma equilibrium and separatrix using convolutional physics-informed neural operator,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Reconstruction of plasma equilibrium and separatrix using convolutional physics-informed neural operator,

Reference 33

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This paper cites Grad–shafranov equilibria via data-free physics informed neural networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Grad–shafranov equilibria via data-free physics informed neural networks,

Reference 34

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch On the spectral bias of neural networks,

Reference 35

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This paper cites Frequency principle: Fourier analysis sheds light on deep neural networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Frequency principle: Fourier analysis sheds light on deep neural networks,

Reference 36

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This paper cites Extended physics-informed neural networks (xpinns): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equa- tions,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Extended physics-informed neural networks (xpinns): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equa- tions,

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch A comprehensive study of non-adaptive and residual-based adaptive sampling for physics- informed neural networks,

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Complex-valued physics-informed machine learning for efficient solving of quintic non- linear schrödinger equations,

Reference 39

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch The two-dimensional kinetic ballooning theory for ion temperature gradient mode in tokamak,

Reference 40

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Symmetry breaking of ion temperature gradient mode structure: From local to global analysis,

Reference 41

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Global itg eigenmodes: From ballooning angle and radial shift to reynolds stress and nonlinear saturation,

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch A dive into spectral inference net- works: Improved algorithms for self-supervised learning of continuous spectral representations,

Reference 43

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This paper cites On the eigenvector bias of fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks,.

Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch On the eigenvector bias of fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks,

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Physics-Informed Neural Networks for Complex Eigenfrequency Identification and Mode Structure Reconstruction of the Ground-State ITG Branch Complex-valued neural networks: A comprehensive survey,

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