Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries | Paper Citation Record

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This paper cites Aerodynamic design via control theory.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Aerodynamic design via control theory

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This paper cites Surrogate model-based opti- mization framework: a case study in aerospace design.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Surrogate model-based opti- mization framework: a case study in aerospace design

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This paper cites Multidisciplinary design optimization: a survey of architectures.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Multidisciplinary design optimization: a survey of architectures

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This paper cites Topology optimization: theory, methods, and ap- plications.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Topology optimization: theory, methods, and ap- plications

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Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Design optimization using hyper-reduced-order models

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This paper cites Su2: An open-source suite for multiphysics simulation and design.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Su2: An open-source suite for multiphysics simulation and design

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This paper cites Rapid airfoil design optimization via neu- ral networks-based parameterization and surrogate modeling.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Rapid airfoil design optimization via neu- ral networks-based parameterization and surrogate modeling

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This paper cites Model predictive control: Theory and practice—a survey.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Model predictive control: Theory and practice—a survey

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This paper cites A survey of recent trends in multiobjective optimal control—surrogate models, feedback control and objective reduction.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A survey of recent trends in multiobjective optimal control—surrogate models, feedback control and objective reduction

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This paper cites Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

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This paper cites A probabilistic graphical model foundation for enabling predictive digital twins at scale.Nature Computational Science, 1(5):337–347, 2021.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A probabilistic graphical model foundation for enabling predictive digital twins at scale.Nature Computational Science, 1(5):337–347, 2021

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This paper cites A physics-based digital twin for model predictive control of autonomous unmanned aerial vehicle landing.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A physics-based digital twin for model predictive control of autonomous unmanned aerial vehicle landing

Reference 12

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This paper cites Markov chain Monte Carlo in practice.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Markov chain Monte Carlo in practice

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This paper cites Bayesian calibration of computer models.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Bayesian calibration of computer models

Reference 14

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This paper cites The wiener–askey polynomial chaos for stochastic differential equations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The wiener–askey polynomial chaos for stochastic differential equations

Reference 15

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This paper cites Inverse problems: a bayesian perspective.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Inverse problems: a bayesian perspective

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This paper cites Polynomial-chaos-based kriging.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Polynomial-chaos-based kriging

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This paper cites Handbook of uncertainty quantifica- tion, volume 6.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Handbook of uncertainty quantifica- tion, volume 6

Reference 18

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This paper cites Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

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This paper cites Efficient, multimodal, and derivative-free bayesian inference with fisher–rao gradient flows.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Efficient, multimodal, and derivative-free bayesian inference with fisher–rao gradient flows

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This paper cites Universal approximation bounds for superpositions of a sigmoidal function.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Universal approximation bounds for superpositions of a sigmoidal function

Reference 21

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This paper cites Deep learning.nature, 521(7553):436–444, 2015.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Deep learning.nature, 521(7553):436–444, 2015

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This paper cites Attention is all you need.Advances in Neural Information Processing Systems, 30, 2017.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Attention is all you need.Advances in Neural Information Processing Systems, 30, 2017

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This paper cites Auto-Encoding Variational Bayes.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Auto-Encoding Variational Bayes

Reference 24

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This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Score-Based Generative Modeling through Stochastic Differential Equations

Reference 25

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This paper cites GPT-4 Technical Report.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries GPT-4 Technical Report

Reference 26

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This paper cites Pytorch: An imperative style, high-performance deep learning library.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Pytorch: An imperative style, high-performance deep learning library

Reference 27

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This paper cites JAX: composable transformations of Python+NumPy programs, 2018.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries JAX: composable transformations of Python+NumPy programs, 2018

Reference 28

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This paper cites Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification

Reference 29

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This paper cites Switchnet: a neural network model for forward and inverse scattering problems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Switchnet: a neural network model for forward and inverse scattering problems

Reference 30

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

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Fourier Neural Operator for Parametric Partial Differential Equations

Reference 31

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

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 32

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This paper cites Neural Operators with Localized Integral and Differential Kernels.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Neural Operators with Localized Integral and Differential Kernels

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This paper cites Balanced model reduction via the proper orthogonal decomposition.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Balanced model reduction via the proper orthogonal decomposition

Reference 34

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This paper cites Approximation of large-scale dynamical systems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Approximation of large-scale dynamical systems

Reference 35

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This paper cites Reduced order methods for modeling and computa- tional reduction, volume 9.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Reduced order methods for modeling and computa- tional reduction, volume 9

Reference 36

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This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A survey of projection-based model reduction methods for parametric dynamical systems

Reference 37

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This paper cites Model reduction of parametrized systems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Model reduction of parametrized systems

Reference 38

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This paper cites The proper orthogonal decomposition in the analysis of turbulent flows.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The proper orthogonal decomposition in the analysis of turbulent flows

Reference 39

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This paper cites Calculating the singular values and pseudo-inverse of a matrix.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Calculating the singular values and pseudo-inverse of a matrix

Reference 40

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This paper cites Hamiltonian systems and transformation in hilbert space.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Hamiltonian systems and transformation in hilbert space

Reference 41

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This paper cites Comparison of systems with complex behavior.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Comparison of systems with complex behavior

Reference 42

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This paper cites Nonlinear model reduction via discrete em- pirical interpolation.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Nonlinear model reduction via discrete em- pirical interpolation

Reference 43

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This paper cites The gnat method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The gnat method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

Reference 44

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This paper cites Efficient non-linear model reduc- tion via a least-squares petrov–galerkin projection and compressive tensor approximations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Efficient non-linear model reduc- tion via a least-squares petrov–galerkin projection and compressive tensor approximations

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.594822Z

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This paper cites Dynamic mode decomposition of numerical and experimental data.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Dynamic mode decomposition of numerical and experimental data

Reference 46

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This paper cites Spectral analysis of nonlinear flows.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Spectral analysis of nonlinear flows

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.582522Z

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This paper cites Dynamic mode decomposition: data-driven modeling of complex systems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Dynamic mode decomposition: data-driven modeling of complex systems

Reference 48

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This paper cites Data-driven operator inference for nonintrusive projection-based model reduction.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Data-driven operator inference for nonintrusive projection-based model reduction

Reference 49

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Observation 541c40a8-c9af-4eb8-9d7a-690c201ff8ac · outbound

This paper cites Lift & learn: Physics-informed machine learning for large-scale nonlinear dynamical systems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Lift & learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.555805Z

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Observation c6fe7e1a-5f5a-4bb0-932b-6c11a351b1ba · outbound

This paper cites A data–driven ap- proximation of the koopman operator: Extending dynamic mode decomposition.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A data–driven ap- proximation of the koopman operator: Extending dynamic mode decomposition

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.536464Z

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Observation 0881c5ca-cf0b-4aa8-8c8e-67e667c1d770 · outbound

This paper cites Reduced order modeling for nonlinear structural analysis using gaussian process regression.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Reduced order modeling for nonlinear structural analysis using gaussian process regression

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.517149Z

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This paper cites Non-intrusive reduced order modeling of nonlinear problems using neural networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Non-intrusive reduced order modeling of nonlinear problems using neural networks

Reference 53

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Observation 4d15bf93-0c0c-4d39-9e1b-f5f0624a3bca · outbound

This paper cites Model reduction of dynamical systems on nonlinear man- ifolds using deep convolutional autoencoders.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Model reduction of dynamical systems on nonlinear man- ifolds using deep convolutional autoencoders

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.501490Z

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Observation 44766b14-02db-479a-9953-5586f487ed36 · outbound

This paper cites Model reduction and neural networks for parametric pdes.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Model reduction and neural networks for parametric pdes

Reference 55

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Observation 1161dea2-72b5-4b51-9863-30b630146df6 · outbound

This paper cites Neural-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrier to Reducibility of CFD Models.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Neural-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrier to Reducibility of CFD Models

Reference 56

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This paper cites Adaptive mesh methods for one-and two-dimensional hyper- bolic conservation laws.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Adaptive mesh methods for one-and two-dimensional hyper- bolic conservation laws

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.485121Z

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Observation abab67f1-801c-405d-a9c4-d074d2ae9a7e · outbound

This paper cites Adaptive moving mesh methods, volume 174.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Adaptive moving mesh methods, volume 174

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.477195Z

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Observation 1b88ac9f-2552-4b1a-9115-eb88a3190501 · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general geometries.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Fourier neural operator with learned deformations for pdes on general geometries

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.466170Z

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Observation 0b6bf76c-b497-426d-be12-fc04ba8fdc2b · outbound

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

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Phygeonet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state pdes on irregular do- main

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.455142Z

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Observation b2bb29b0-a7e3-4407-ba92-a867abc59271 · outbound

This paper cites Solving high-dimensional parametric engi- neering problems for inviscid flow around airfoils based on physics-informed neural networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Solving high-dimensional parametric engi- neering problems for inviscid flow around airfoils based on physics-informed neural networks

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.444895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d290a3b-0f81-413a-9805-ed6995f2cf5b · outbound

This paper cites DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.243386Z

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Observation 934be89f-97f7-439d-a03f-9cf526ab94ab · outbound

This paper cites Learning solution operators of PDEs defined on varying domains via MIONet.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Learning solution operators of PDEs defined on varying domains via MIONet

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.246352Z

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Observation c225a427-e0c9-4cc2-aae7-97604dc23f6b · outbound

This paper cites Pointnet: Deep learning on point sets for 3d classification and segmentation.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Pointnet: Deep learning on point sets for 3d classification and segmentation

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.249751Z

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Observation c202946e-5eba-4aeb-9efc-69700b873dda · outbound

This paper cites Pointnet++: Deep hier- archical feature learning on point sets in a metric space.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Pointnet++: Deep hier- archical feature learning on point sets in a metric space

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.425331Z

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Observation 81804d12-58d1-4e57-a249-f35aac9eddb8 · outbound

This paper cites Pointcnn: Convolution on x-transformed points.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Pointcnn: Convolution on x-transformed points

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.416540Z

Source-reported events for the cited work

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Observation 141b6b6f-1818-4c5f-af4d-068b045166e4 · outbound

This paper cites Deep transfer operator learning for partial differential equations under conditional shift.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Deep transfer operator learning for partial differential equations under conditional shift

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.397739Z

Source-reported events for the cited work

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Observation 3239bf3f-84b0-4849-a0d3-e755006417a3 · outbound

This paper cites Choose a transformer: Fourier or galerkin.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Choose a transformer: Fourier or galerkin

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.262473Z

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Observation f7ababce-80b1-45cc-bab5-3ca0244bf114 · outbound

This paper cites Positional knowledge is all you need: Position-induced transformer (pit) for operator learning.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Positional knowledge is all you need: Position-induced transformer (pit) for operator learning

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.376653Z

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Observation e4c98597-1cb7-4710-9213-78589b93e609 · outbound

This paper cites The graph neural network model.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The graph neural network model

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.363839Z

Source-reported events for the cited work

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Observation dc008101-cd6e-4958-9a7a-3fffe284a0c0 · outbound

This paper cites Semi-Supervised Classification with Graph Convolutional Networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Semi-Supervised Classification with Graph Convolutional Networks

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.269142Z

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Observation 9f06a9d7-c434-459e-b358-8b6159942025 · outbound

This paper cites Learning Mesh-Based Simulation with Graph Networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Learning Mesh-Based Simulation with Graph Networks

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.272393Z

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Observation 02d260f3-036f-42d3-9ad1-a8d55b5949ec · outbound

This paper cites Laflownet: A dynamic graph method for the prediction of velocity and pressure fields in left atrium and left atrial appendage.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Laflownet: A dynamic graph method for the prediction of velocity and pressure fields in left atrium and left atrial appendage

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.353004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd315da6-cd4b-4df9-b835-1c4e1bd28c61 · outbound

This paper cites Generative learning of the so- lution of parametric partial differential equations using guided diffusion models and virtual observations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Generative learning of the so- lution of parametric partial differential equations using guided diffusion models and virtual observations

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.344630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0472ace2-007d-445a-b03d-2ff0f8355e2b · outbound

This paper cites Vortexnet: A graph neural network-based multi-fidelity surrogate model for field predictions.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Vortexnet: A graph neural network-based multi-fidelity surrogate model for field predictions

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.324199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eab1a741-757b-4c2b-9063-e172a35af398 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.285716Z

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Observation 6c5f2697-5bb6-4593-8234-273f8bb45eab · outbound

This paper cites Multipole graph neural operator for parametric partial differential equations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Multipole graph neural operator for parametric partial differential equations

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.314575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 115f12d2-4157-4c20-9e62-8d6d4174e654 · outbound

This paper cites Domain agnostic fourier neural operators.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Domain agnostic fourier neural operators

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.295764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b912861b-4f7d-4f5c-99b3-4d6edb3b797a · outbound

This paper cites Geometry-informed neural operator for large-scale 3d pdes.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Geometry-informed neural operator for large-scale 3d pdes

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.296079Z

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Observation f4de3ae9-a2f7-4740-8f6d-fbe7483b5db8 · outbound

This paper cites Geom-deeponet: A point-cloud-based deep operator network for field predictions on 3d parameterized geometries.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Geom-deeponet: A point-cloud-based deep operator network for field predictions on 3d parameterized geometries

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.266480Z

Source-reported events for the cited work

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Observation 5581f714-b980-43af-8dd9-6fb415c91079 · outbound

This paper cites PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.302841Z

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Observation 46812432-458d-4df2-af8f-5ead88f2fd49 · outbound

This paper cites Discretization-independent surrogate modeling of physical fields around variable geometries using coordinate-based networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Discretization-independent surrogate modeling of physical fields around variable geometries using coordinate-based networks

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.254668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9343a0ca-0146-45a6-8080-cd10b3ca56c8 · outbound

This paper cites Implicit neural representations with periodic activation functions.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Implicit neural representations with periodic activation functions

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.226083Z

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Observation a012898e-414b-4b73-9520-6acc0fc3bc2b · outbound

This paper cites Operator learning with neural fields: Tackling pdes on general geometries.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Operator learning with neural fields: Tackling pdes on general geometries

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.201234Z

Source-reported events for the cited work

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Observation 39ecd350-47b8-4163-b276-f25cf9bb38d3 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.316223Z

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Observation 7434cb33-7e1b-4416-82c0-80ad867dfc21 · outbound

This paper cites Linear integral equations, 1989.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Linear integral equations, 1989

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.183440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8431309-2684-4f69-bee9-6b2dafd97c12 · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Spectral properties of dynamical systems, model reduction and decompositions

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.160300Z

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Observation c7e19c4a-3233-49cd-a842-c0708fae4ef8 · outbound

This paper cites An operator learning perspective on parameter-to-observable maps.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries An operator learning perspective on parameter-to-observable maps

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.328275Z

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Observation 7b0177c9-1e71-4370-9f59-de9e3265d0c0 · outbound

This paper cites Gaussian Error Linear Units (GELUs).

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Gaussian Error Linear Units (GELUs)

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.331548Z

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Observation 33153341-d757-46ac-93ba-6cc33a03848e · outbound

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

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Neural operator: Learning maps between function spaces with applications to pdes

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.334648Z

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Observation 603f70f4-044d-4e11-a0d4-676d10535c0a · outbound

This paper cites The random feature model for input-output maps between banach spaces.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The random feature model for input-output maps between banach spaces

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.117617Z

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Observation d25ecc64-5227-441f-ae3d-507a816ad636 · outbound

This paper cites A library for learning neural operators.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries A library for learning neural operators

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.339899Z

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Observation 585dfc06-bc7c-4e42-b878-a7d15838e811 · outbound

This paper cites Monotone funktionen, stieltjessche integrale und harmonische analyse.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Monotone funktionen, stieltjessche integrale und harmonische analyse

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:12:47.091705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ced517e7-cbbf-49a3-b326-ae0d66eba154 · outbound

This paper cites Random features for large-scale kernel machines.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Random features for large-scale kernel machines

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.345330Z

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Observation 64b40372-077c-4d27-bab2-f2f1da5f075e · outbound

This paper cites The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.347119Z

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Observation ae320930-b9ba-4708-8407-1d1ef92bc409 · outbound

This paper cites Beyond regular grids: Fourier-based neural opera- tors on arbitrary domains.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Beyond regular grids: Fourier-based neural opera- tors on arbitrary domains

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.350395Z

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Observation 197b9e14-adb9-4253-bf2b-36da2137a1cd · outbound

This paper cites Learning Neural Operators on Riemannian Manifolds.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Learning Neural Operators on Riemannian Manifolds

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.353277Z

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Observation 5f3ea82d-70df-4017-aca6-746f9275af55 · outbound

This paper cites Continuum attention for neural operators.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Continuum attention for neural operators

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.355670Z

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Observation d65107c0-1cca-477a-bbfb-1754ac747b85 · outbound

This paper cites Transformer Meets Boundary Value Inverse Problems.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Transformer Meets Boundary Value Inverse Problems

Reference 99

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:12:46.471063Z

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Observation 1656010c-5405-4376-8d9d-35bb9feb2950 · outbound

This paper cites Nonlocality and Nonlinearity Implies Universality in Operator Learning.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-10T15:12:46.361331Z

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