Paper Citation Record · LEDGER

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators

As of 11 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2509.23975.

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Observation 9dcb3b28-f6dc-4b9c-9395-9d6458a4a7e5 · outbound

This paper cites Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis,

Reference 1

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This paper cites Physics-informed machine learning,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Physics-informed machine learning,

Reference 2

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This paper cites Task-oriented machine learning assisted surrogates for tipping points of agent-based models,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Task-oriented machine learning assisted surrogates for tipping points of agent-based models,

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This paper cites Catastrophic regime shifts in ecosystems: linking theory to observation,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Catastrophic regime shifts in ecosystems: linking theory to observation,

Reference 4

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This paper cites Time-steppers and ‘coarse’control of distributed microscopic processes,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Time-steppers and ‘coarse’control of distributed microscopic processes,

Reference 5

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This paper cites Data-driven control of agent-based models: An equation/variable-free machine learning approach,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Data-driven control of agent-based models: An equation/variable-free machine learning approach,

Reference 6

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This paper cites Discrete-time nonlinear feedback linearization via physics-informed machine learning,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Discrete-time nonlinear feedback linearization via physics-informed machine learning,

Reference 7

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This paper cites Nonlinear and robust control of pde systems: Methods and applications to transport-reaction processes,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Nonlinear and robust control of pde systems: Methods and applications to transport-reaction processes,

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This paper cites Low-dimensional approximation and control of periodic solutions in spatially extended systems,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Low-dimensional approximation and control of periodic solutions in spatially extended systems,

Reference 9

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This paper cites Equation-free: The computer-aided analysis of complex multiscale systems,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Equation-free: The computer-aided analysis of complex multiscale systems,

Reference 10

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This paper cites Variable-free exploration of stochastic models: a gene regulatory network example,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Variable-free exploration of stochastic models: a gene regulatory network example,

Reference 11

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Unresolved cited work

Reference 12

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This paper cites Saad,Numerical methods for large eigenvalue problems: revised edition.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Saad,Numerical methods for large eigenvalue problems: revised edition

Reference 13

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This paper cites From interacting agents to density-based modeling with stochastic pdes,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators From interacting agents to density-based modeling with stochastic pdes,

Reference 14

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This paper cites Deep hidden physics models: Deep learning of nonlinear partial differential equations,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Deep hidden physics models: Deep learning of nonlinear partial differential equations,

Reference 15

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This paper cites Coarse-scale pdes from fine-scale observations via ma- chine learning,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Coarse-scale pdes from fine-scale observations via ma- chine learning,

Reference 16

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This paper cites Solving and learning nonlinear pdes with gaussian processes,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Solving and learning nonlinear pdes with gaussian processes,

Reference 17

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Observation f9f82dad-828d-40b4-9b5f-f0b80a13f236 · outbound

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

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Learning nonlinear operators via deeponet based on the universal approximation theorem of operators,

Reference 18

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This paper cites Multiscale simulations of complex systems by learning their effective dynamics,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Multiscale simulations of complex systems by learning their effective dynamics,

Reference 19

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This paper cites Numerical bifurcation analysis of pdes from lattice boltzmann model simulations: a parsimonious machine learning approach,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Numerical bifurcation analysis of pdes from lattice boltzmann model simulations: a parsimonious machine learning approach,

Reference 20

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This paper cites Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

Reference 21

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 22

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Multipole graph neural operator for parametric partial differential equations,

Reference 23

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Spectral neural operators,

Reference 24

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Randonets: Shallow networks with random projections for learning linear and nonlinear operators,

Reference 25

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Enabling local neural operators to perform equation-free system-level analysis,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Learning dissipative dynamics in chaotic systems,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Long-time integration of parametric evolution equations with physics-informed deeponets,

Reference 28

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This paper cites Coarse brownian dynamics for nematic liquid crystals: Bifurcation, projective integra- tion, and control via stochastic simulation,.

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Coarse brownian dynamics for nematic liquid crystals: Bifurcation, projective integra- tion, and control via stochastic simulation,

Reference 29

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators An equation-free approach to nonlinear control: Coarse feedback linearization with pole- placement,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators An equation-free approach to agent-based computation: Bifurcation analysis and control of stationary states,

Reference 31

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Ogata,Discrete-time control systems

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators An analytical and numerical study of the two-dimensional bratu equation,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its applica- tion to dynamical systems,

Reference 34

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Approximation by superpositions of a sigmoidal func- tion,

Reference 35

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Training neural networks is np-hard in fixed dimension,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Negative results for approximation using single layer and multilayer feedforward neural networks,

Reference 37

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Random projection neural networks of best approxima- tion: Convergence theory and practical applications,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Efficient Training of Deep Neural Operator Networks via Randomized Sampling

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Extensions of lipschitz mappings into a hilbert space,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Stochastic choice of basis functions in adaptive function approximation and the functional-link net,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Random features for large-scale kernel ma- chines,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Uniform approximation of functions with random bases,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Ap- proximation with random bases: Pro et contra,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines,

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Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators Parsimonious physics-informed random projection neural networks for initial value problems of odes and index-1 daes,

Reference 46

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