Fourier Neural Operators

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9 papers in the last four weeks, up 200% on the four weeks before. 0.1% of all new papers.

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  1. Fractional Laplace Neural Operators: Exact Architectures, an Expressivity Frontier at Criticality, and Certified Stability for Memory-Driven Network Dynamics

    Sep 30, 2026Mauricio Herrera-MarínFourier Neural OperatorsNeural Operators

    Facultad de Ingenier´ıa, Universidad del Desarrollo, Santiago, Chile

  2. Does Text Steer Neural PDE Surrogates? A Controlled Diagnostic with OperatorCLIP

    Sep 29, 2026Aadi Dash, Lennon J. Shikhman, Michael GalarnykNeural OperatorsText-Conditioned Diffusion Model

    College of Computing, Georgia Institute of Technology · Department of Mathematics and Systems Engineering, Florida Institute of Technology · Wallace H. Coulter Department of Biomedical Engineering, Georgia Institute of Technology

  3. Function-Space Transformer with Adaptive Anchors

    Sep 29, 2026Guorui Sang, Pedram RooshenasSpatio-Temporal TransformersFourier Neural Operators

    University of Illinois Chicago

  4. Rate-Agnostic Bioacoustics: Heterogeneous Multi-Taxa Classification with Continuous Filterbanks and Fourier Neural Operators

    Sep 29, 2026Stefano Ciapponi, Francesco Ardan Dal Rı, Nicola Conci +1Passive Acoustic MonitoringFourier

    University of Trento · Fondazione Bruno Kessler

  5. KATOsuper: Surrogate-accelerated neural topology optimization with sensitivity-consistent Fourier neural operators

    Sep 23, 2026Shengyu Yan, Jasmin JelovicaTopology OptimizationFourier Neural Operators

    Department of Mechanical Engineering, The University of British Columbia, 6250 Applied Science Ln, Vancouver, V6T 1Z4, Canada · Department of Civil Engineering, The University of British Columbia, 6250 Applied Science Ln, Vancouver, V6T 1Z4, Canada

  6. Learning Lyapunov Operators for Nonlinear Systems

    Sep 16, 2026Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández +1Fourier Neural OperatorsNonlinear Dynamics

    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

  7. Lecture notes on Physics Informed Neural Networks, Neural Operators, and their applications

    Sep 15, 2026Alessandro BombiniParametric Physics-Informed Neural NetworkFourier Neural Operators

    Istituto Nazionale di Fisica Nucleare, Sezione di Firenze

  8. Physics-Informed Conformal Prediction: Embedding PDE Consistency into Distribution-Free Uncertainty Quantification for Neural Operators

    Sep 14, 2026Michael ChinOnline Conformal PredictionParametric Physics-Informed Neural Network

    Independent Researcher

  9. Learning Metamaterial Eigenmodes with Wavelet-Encoded Fourier Neural Operators

    Sep 8, 2026Han Zhang, Alexander Ogren, Cynthia Rudin +2Fourier Neural OperatorsMetamaterials

    Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA · Department of Mechanical Engineering, California Institute of Technology, Pasadena, CA, USA · Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA

  10. Learning PDE Time-Stepping with Neural Cellular Automata

    Aug 31, 2026Esha Saha, Hao WangNeural Partial Differential Equation SolversPartial Differential Equations

    1Interdisciplinary Lab for Mathematical Ecology and Epidemiology (ILMEE) & The Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton (AB), T6G 2J5, Canada

  11. Selection, Representation, and Execution in Sparse Fourier Neural Operators

    Aug 30, 2026Abdul Qadir Ibrahim, Martin BurgerFourier Neural OperatorsSparsity

    Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany

  12. Lesion-Aware Adaptive Fourier Neural Operator for CT-to-PSMA PET Synthesis in Prostate Cancer

    Aug 11, 2026Rashmi Bhaskara, Waleed M. Almutairi, Matthew Gopaulchan +5Positron Emission TomographyRadiomics

    aSchool of Health Sciences, Purdue University, West Lafayette, 47907, IN, USA · bDepartment of Radiology, Indiana University School of Medicine, Indianapolis, 46202, IN, USA · cDepartment of Urology, Indiana University School of Medicine, Indianapolis, 46202, IN, USA +1

  13. ADEx-FNO: A Unified Ambient-Domain Framework for Fourier Neural Operators on Varying Geometries

    Aug 9, 2026Roberto Nuca, Giovanni Testa, Luca Galimberti +1Fourier Neural OperatorsComputational Fluid Dynamic

    Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia · Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, Milan, Italy · Physical Science and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia

  14. SEAM: Global consistency beyond local accuracy in scientific machine learning

    Aug 6, 2026Gnankan Landry Regis N'guessan, Bum Jun KimScientific DiscoveryAdmissibility

    Axiom Research Group · Department of Applied Mathematics and Computational Science, The Nelson Mandela African Institution of Science and Technology, 404 Nganana, Kikwe, Arumeru, P.O. Box 447, Arusha, 23311, Tanzania · African Institute for Mathematical Sciences, Research and Innovation Centre, KN 3 Road, Gasharu Cell, Kicukiro Sector, Kicukiro District, Kigali, Rwanda +1

  15. Fixed and Adaptive Topological DeepONets: Functional Measurements on Hausdorff Locally Convex Spaces

    Aug 5, 2026Khemraj Shukla, George Em KarniadakisFourier Neural OperatorsReynolds-Averaged Navier-Stokes

    Division of Applied Mathematics, Brown University Providence, Rhode Island 02912, USA

  16. Extending Fourier Neural Operators for Modeling Parameterized and Coupled PDEs

    Jul 26, 2026Cheng Jing, Uvini Balasuriya Mudiyanselage, Abhishek Verma +3Fourier Neural OperatorsNeural Operators

    Arizona State University · Applied Materials Inc.

  17. Fourier Geometric Wind Power Forecasting with Numerical Weather Prediction

    Jul 19, 2026Shiyuan Piao, Fan Zehui, Yang Liu +4Offshore Wind TurbineNumerical Weather Prediction

    The Hong Kong University of Science and Technology · The Chinese University of Hong Kong · Tsinghua University Goldwind Science and Technology Co.,Ltd

  18. Quadrature-Aware Complex-Linear Neural Operator for Boundary-to-Field Prediction in Resonant Acoustics

    Jul 5, 2026Muhammad Idrees Khan, Hua-Dong YaoFourier Neural OperatorsBayesian Quadrature

    Department of Mechanical Engineering, Chalmers University of Technology Gothenburg 41296, Sweden

  19. Fourier Neural Operators for Rayleigh-Bénard Convection

    Jul 2, 2026Chelsea Maria John, Thibaut Lunet, Sebastian Götschel +3Fourier Neural OperatorsReynolds-Averaged Navier-Stokes

    Jülich Supercomputing Centre, Jülich, Germany · Hamburg University of Technology, Hamburg, Germany

  20. From Spectral Methods to Sample Complexity Bounds for Fourier Neural Operators

    Jul 1, 2026Nisha Chandramoorthy, Daniel Sanz-Alonso, Nathan WaniorekFourier Neural OperatorsNonlinear Operators

    University of Chicago

  21. Fourier Neural Operators with Least-Squares Readout Refit for Learning Random Obstacle-to-Solution Maps

    Jun 28, 2026Chenhui Zhu, Fei WangFourier Neural OperatorsLeast Squares

    School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, P. R. China. · School of Mathematics and Statistics & State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China.

  22. Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs

    Jun 26, 2026Alex Colagrande, Paul Caillon, Eva Feillet +1Fourier Neural OperatorsPartial Differential Equations

    Miles Team, LAMSADE, Université Paris Dauphine-PSL, Paris, France · Université Paris-Saclay, CNRS, LISN, 91400, Orsay, France · ESPCI PSL, Paris, France

  23. Operator Learning for Cubic Nonlinear Schrödinger Equation on Periodic Domains

    Jun 25, 2026Emmanuel E. Oguadimma, Victory C. Obieke, Xueying YuFourier Neural Operators

  24. fTNN: a tensor neural network for fractional PDEs

    Jun 25, 2026Qingkui Ma, Hehu Xie, Xiaobo YinFourier Neural OperatorsPartial Differential Equations

    School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China · SKLMS, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No.55, Zhongguancun Donglu, Beijing 100190, China · School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China +1

  25. Real vs. Complex Spectral Bases for Neural Operators: The Role of Green's Function Alignment

    Jun 23, 2026Jason Sulskis, Sathya RaviFourier Neural OperatorsNeural Operators

    Electronic Systems Laboratory, Applied Embedded Systems Division Georgia Tech Research Institute · Department of Computer Science University of Illinois at Chicago

  26. The Fractal Neural Operator: Overcoming Spectral Bias in Chaotic Attractors via Prime-Harmonic Weierstrass Encodings

    Jun 22, 2026Kanishk AwadhiyaFourier Neural OperatorsChaos

    Independent Researcher

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

    Jun 19, 2026Yitian Zhou, Chaoning Zhang, Zhenzhen Huang +8Fourier Neural OperatorsNeural Operators

    University of Electronic Science and Technology of China Chengdu, China · Institute of Software, Chinese Academy of Sciences Beijing, China · Harbin Institute of Technology Shenzhen, China

  28. SpikF-GO: Spiking Fourier Graph Operators for Multivariate Time Series Forecasting

    Jun 11, 2026Jafar Bakhshaliyev, Niels LandwehrMultivariate Time Series ForecastingSpiking Neural Networks

    Data Science Group, University of Hildesheim, Hildesheim, Germany

  29. SirenFNO: Efficient and Full Frequency Learning of Fourier Neural Operators

    Jun 9, 2026Pengqing Shi, Jie Yin, Stephen Tierney +1Fourier Neural OperatorsNeural Operators

    The University of Sydney, Australia

  30. Fourier Neural Operators with rank-1 lattice points and hyperbolic cross

    Jun 7, 2026Jakob Dilen, Alexander Keller, Frances Y. Kuo +1Fourier Neural OperatorsFourier

  31. Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime

    Jun 7, 2026Weinan Wang, Bowen Gang, Hao DengProbabilistic Operator LearningReynolds-Averaged Navier-Stokes

    Department of Mathematics, University of Oklahoma, Norman, OK, USA · Department of Statistics and Data Science, School of Management, Fudan University, Shanghai, China

  32. GENERIC-FNO: Embedding Energy Conservation and Entropy Production into Fourier Neural Operators

    Jun 6, 2026Jason Sulskis, Sathya RaviFourier Neural OperatorsNeural Operators

    Department of Computer Science University of Illinois at Chicago · Electronic Systems Laboratory, Applied Embedded Systems Division Georgia Tech Research Institute

  33. EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs

    Jun 2, 2026Sungwon Kim, Juho Song, Seungmin Shin +3Rotation EquivarianceFourier Neural Operators

    Graduate School of Data Science, KAIST, Daejeon, Republic of Korea · Mathematical Sciences, KAIST, Daejeon, Republic of Korea · LG Electronics, Pyeong-taek, Republic of Korea +1

  34. Limits of Resolution Equivariance in Fourier Neural Operators

    May 30, 2026Alex Colagrande, Paul Caillon, Eva Feillet +1Fourier Neural OperatorsUpsampling

    Miles Team, LAMSADE, Universit´e Paris Dauphine-PSL, Paris, France · Universit´e Paris-Saclay, CNRS, LISN, France · ESPCI PSL, Paris, France

  35. LFNO: Bridging Laplace and Fourier via Transient-Steady Decomposition

    May 29, 2026Jeongun Ha, Sanga Yoon, Donghun LeeFourier Neural OperatorsPartial Differential Equations

    Department of Mathematics, Korea University, 145 Anam-ro Seongbuk-gu Seoul, Republic of Korea.

  36. Sequential Physics-Constrained Neural Operator Forward Modeling for the Norne\textit{Norne} Reservoir System

    May 27, 2026Clement Etienam, Juntao Yang, Oleg Ovcharenko +4Fourier Neural OperatorsNeural Operators

    NVIDIA Corporation

  37. MTL-FNO: A Lightweight Multi-Task Fourier Neural Operator for Sparse Field Reconstruction

    May 26, 2026Siyu Ye, Shihang Li, Zhiqiang Gong +4Fourier Neural OperatorsFourier

    Defense Innovation Institute, Academy of Military Science, Beijing, 100071, China · Intelligent Game and Decision Laboratory, Beijing, 100071, China

  38. IV-Net: A neural network for elliptic PDEs with random and highly varying coefficients

    May 24, 2026Shan Zhong, George BirosFourier Neural OperatorsAlgebraic Multigrid

    Oden Institute for Computational Science and Engineering, The University of Texas at Austin, 201 E 24th St, Austin, 78712, TX, USA · Walker Department of Mechanical Engineering, The University of Texas at Austin, 3012026 E Dean Keeton St, Austin, 78712, TX, USA

  39. WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations

    May 23, 2026Muhammad Abid, Arth Sojitra, Omer SanFourier Neural OperatorsPartial Differential Equations

    Department of Mechanical and Aerospace Engineering, University of Tennessee, Knoxville Knoxville, TN 37996, USA.

  40. IKNO: Infinite-order Kernel Neural Operators

    May 21, 2026Pengyuan Zhu, Ivor W. Tsang, Yueming LyuNeural OperatorsFourier Neural Operators

    Nanyang Technological University · Centre for Frontier AI Research(CFAR), Agency for Science, Technology and Research (A*STAR)

  41. PACE-FNO: Physics-Aligned Canonical Equivariance for Fourier Neural Operators

    May 18, 2026Jiaxiao Xu, Changhong Mou, Yeyu Zhang +1Fourier Neural OperatorsSymmetry

    Shanghai University of Finance and Economics · Utah State University · University of Edinburgh

  42. Stability and Discretization Error of State Space Model Neural Operators

    May 17, 2026Abderrahim Bendahi, Adrien Fradin, Johan Peralez +2Neural OperatorsFourier Neural Operators

    École polytechnique Paris, France · Université Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007 Villeurbanne, France · CNRS, UniversitéJulieLyonDigne1, INSA Lyon, LIRIS Lyon, France +1

  43. Frequency Bias and OOD Generalization in Neural Operators under a Variable-Coefficient Wave Equation

    May 13, 2026Runlong Xie, An LuoFourier Neural OperatorsNeural Operators

    Independent Researcher · School of Statistics, University of Minnesota, MN, USA.

  44. Approximation Theory of Laplacian-Based Neural Operators for Reaction-Diffusion System

    May 12, 2026Takashi Furuya, Ryo Ozawa, Jenn-Nan WangFourier Neural OperatorsNeural Operators

    Doshisha University · RIKEN AIP · Tohoku University +1

  45. NOFE - Neural Operator Function Embedding

    May 12, 2026Lars Uebbing, Harald L. Joakimsen, Siyan Chen +6Dimensionality ReductionFourier Neural Operators

    1UiT The Arctic University of Norway · 2Norwegian Computing Center · University of South Brittany +1

  46. HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations

    May 10, 2026Lennon J. ShikhmanFourier Neural OperatorsNeural Operators

    College of Computing, Georgia Institute of Technology Atlanta, GA, United States

  47. Can We Formally Verify Neural PDE Surrogates? SMT Compilation of Small Fourier Neural Operators

    May 9, 2026Ali Baheri, Ignacio Laguna PeraltaFourier Neural OperatorsNeural Network Verification

    Rochester Institute of Technology, Rochester, NY, USA · Lawrence Livermore National Laboratory, Livermore, CA, USA

  48. Neural Operators as Efficient Function Interpolators

    May 8, 2026Vasilis Niarchos, Angelos Sirbu, Sokratis TrifinopoulosFourier Neural OperatorsNeural Operators

    Department of Physics, CCTP and ITCP, University of Crete, 71303, Greece · Theoretical Physics Department, CERN, Geneva, Switzerland · Physik-Institut, Universität Zürich, 8057 Zürich, Switzerland

  49. GRIFDIR: Graph Resolution-Invariant FEM Diffusion Models in Function Spaces over Irregular Domains

    May 5, 2026James Rowbottom, Elizabeth L. Baker, Nick Huang +3Diffusion ModelsDiscretization

    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK · Department of Applied Mathematics and Computer Science, Technical University of Denmark, Denmark · Department of Mathematics, Simon Fraser University, Canada +1

  50. Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation

    May 4, 2026Nicole HaoFourier Neural OperatorsLogarithmic Sobolev Inequalities

    Department of Mathematics, Cornell University

  51. Isotropic Fourier Neural Operators

    May 4, 2026Michael F. StaddonFourier Neural OperatorsNeural Partial Differential Equation Solvers

    Independent Researcher

  52. Shearlet Neural Operators for Anisotropic-Shock-Dominated and Multi-scale parametric partial differential equations

    Apr 28, 2026Fabio Pereira dos Santos, Julio de Castro Vargas Fernandes, Adriano Mauricio de Almeida CortesFourier Neural OperatorsNeural Operators

    Coordination of Mathematical and Computational Methods National Laboratory of Scientific Computing Av. Getúlio Vargas, 333 - Quitandinha, Petrópolis - RJ, 25651-075 · Systems and Computational Engineering Program, COPPE/UFRJ, Federal University of Rio de Janeiro, P.O. Box 68542, Rio de Janeiro, RJ, 21941-909, Brasil

  53. Shared-kernel Wavelet Neural Networks for Poisson Image Reconstruction

    Apr 27, 2026Yuanhao Gong, Tan Tang, Qianyan LiuImage ReconstructionGraph Laplacians

  54. Multi-scale Dynamic Wake Modeling and Prediction of Floating Offshore Wind Turbines via Physics-Informed Neural Networks and Fourier Neural Operators

    Apr 27, 2026Guodan Dong, Jianhua Qin, Chang XuOffshore Wind TurbineParametric Physics-Informed Neural Network

    College of Renewable Energy Hohai University Changzhou 213200 China · College of Water Conservancy and Hydropower Engineering Nanjing 210098 China · National Technology Innovation Center for Wind Power Hohai University Changzhou 213200 China

  55. Droplet-LNO: Physics-Informed Laplace Neural Operators for Accurate Prediction of Droplet Spreading Dynamics on Complex Surfaces

    Apr 22, 2026Ganesh Sahadeo Meshram, Partha Pratim Chakrabarti, Suman ChakrabortyComputational Fluid DynamicFourier Neural Operators

    Department of Mechanical Engineering, IIT Kharagpur, Kharagpur, India · Department of Computer Science & Engineering, IIT Kharagpur, Kharagpur, India

  56. Neural Adjoint Method for Meta-optics: Accelerating Volumetric Inverse Design via Fourier Neural Operators

    Apr 19, 2026Chanik Kang, Hyewon Suk, Haejun ChungGenerative Inverse DesignFourier Neural Operators

    Hanyang University, Department of Artificial Intelligence Semiconductor Engineering Seoul, Korea · Hanyang University, Department of Electronic Engineering Seoul, Korea

  57. Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations

    Apr 17, 2026Eva van Tegelen, Taniya Kapoor, George A. K. van Voorn +2Fourier Neural OperatorsNeural Operators

    Artificial Intelligence Group, Wageningen University and Research, Netherlands · Mathematical and Statistical Methods, Wageningen University and Research, Netherlands

  58. High-Resolution Climate Projections Using Diffusion-Based Downscaling of a Lightweight Climate Emulator

    Feb 13, 2026Haiwen Guan, Dibyajyoti Chakraborty, Moein Darman +3Dynamical DownscalingWind

    1Information Sciences and Technology, The Pennsylvania State University, University Park, Pennsylvania · Department of Applied Mathematics, University of California, Santa Cruz, California · 3Allen Institute for Artificial Intelligence (AI2), Seattle, Washington +1

  59. Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

    Dec 9, 2025Muhammad Abid, Omer SanFourier Neural OperatorsSpectral Representation Method

    Department of Mechanical and Aerospace Engineering, University of Tennessee, Knoxville, TN 37996, USA.

  60. From Theory to Application: A Practical Introduction to Neural Operators in Scientific Computing

    Mar 7, 2025Prashant K. JhaNeural OperatorsFourier Neural Operators

    Department of Mechanical Engineering, South Dakota School of Mines and Technology, Rapid City, SD 57701, USA.