Imagen de Portada

Transcending Sparse Measurement Limits: Operator-Learning-Driven Data Super-Resolution for Inverse Source Problem

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Pan, Guanyu, Zhou, Jianing, Liu, Xiaotong, Huang, Yunqing, Yi, Nianyu
Formato:	Preprint
Publicado:	2025
Materias:	Numerical Analysis
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

DataTransfer: Neural network based interpolation across non-nested meshes
por: Hao, Jiaxiong, et al.
Publicado: (2025)

Rank Inspired Neural Network for solving linear partial differential equations
por: Peng, Wentao, et al.
Publicado: (2025)

IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
por: Zheng, Jiachun, et al.
Publicado: (2025)

Data-integrated neural networks for solving partial differential equations
por: Zheng, Jiachun, et al.
Publicado: (2025)

A posteriori error estimators for fourth order elliptic problems with concentrated loads
por: Cao, Huihui, et al.
Publicado: (2024)

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks
por: Zhang, Shilin, et al.
Publicado: (2025)

Inverse source problems for the stochastic wave equations
por: Huang, Yunqing, et al.
Publicado: (2025)

A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach
por: Cao, Ruonan, et al.
Publicado: (2025)

Neural network-enhanced $hr$-adaptive finite element algorithm for parabolic equations
por: Hao, Jiaxiong, et al.
Publicado: (2025)

High Accuracy Techniques Based Adaptive Finite Element Methods for Elliptic PDEs
por: Xiao, Jingjing, et al.
Publicado: (2025)

Weights initialization of neural networks for function approximation
por: Hu, Xinwen, et al.
Publicado: (2025)

Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data
por: Chen, Qiao-Ping, et al.
Publicado: (2025)

Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
por: Hu, Tianhao, et al.
Publicado: (2025)

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation
por: Chen, Yaoyao, et al.
Publicado: (2024)

Enhanced gradient recovery-based a posteriori error estimator and adaptive finite element method for elliptic equations
por: Liu, Ying, et al.
Publicado: (2025)

Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
por: Ito, Kazufumi, et al.
Publicado: (2025)

Towards $C^0$ finite element methods for fourth-order elliptic equation. Part I: general boundary conditions
por: Zhang, Xihao, et al.
Publicado: (2026)

Improving Data Fidelity via Diffusion Model-based Correction and Super-Resolution
por: Xu, Wuzhe, et al.
Publicado: (2025)

DiLO: Decoupling Generative Priors and Neural Operators via Diffusion Latent Optimization for Inverse Problems
por: Liu, Haibo, et al.
Publicado: (2026)

Quantitative Stability and Numerical Resolution of the Moment Measure Problem
por: Bonnet, Guillaume, et al.
Publicado: (2026)

Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time
por: Cen, Siyu, et al.
Publicado: (2024)

Data-Consistent Learning of Inverse Problems
por: Haltmeier, Markus, et al.
Publicado: (2026)

DeltaPhi: Physical States Residual Learning for Neural Operators in Data-Limited PDE Solving
por: Yue, Xihang, et al.
Publicado: (2024)

Nonlinear RMM-GKS for Large-Scale Dynamic and Streaming Inverse Problems with Uncertain Forward Operators
por: Okunola, Toluwani, et al.
Publicado: (2026)

A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations
por: Dong, Xiaojing, et al.
Publicado: (2024)

Conservative nonconforming virtual element method for stationary incompressible magnetohydrodynamics
por: Dong, Xiaojing, et al.
Publicado: (2024)

Latent Neural Operator for Solving Forward and Inverse PDE Problems
por: Wang, Tian, et al.
Publicado: (2024)

A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data
por: Ning, Jianfeng, et al.
Publicado: (2024)

An Alternating Direction Method of Multipliers for Inverse Lithography Problem
por: Chen, Junqing, et al.
Publicado: (2022)

An adaptive time-stepping strategy for the modified phase field crystal model with a strong nonlinear vacancy potential
por: Hao, Wanrong, et al.
Publicado: (2025)

Variational Sparse Paired Autoencoders (vsPAIR) for Inverse Problems and Uncertainty Quantification
por: Solomon, Jack Michael, et al.
Publicado: (2026)

A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains
por: Xiao, Shanshan, et al.
Publicado: (2026)

Point Source Identification in Subdiffusion from A Posteriori Internal Measurement
por: Huang, Kuang, et al.
Publicado: (2024)

Forward--Inverse Interplay in FEM-Based EEG Source Imaging: Distributional Signatures of Advanced Source Models and Inverse Solvers
por: Söderholm, Santtu, et al.
Publicado: (2026)

Sparse Source Identification in Transient Advection-Diffusion Problems with a Primal-Dual-Active-Point Strategy
por: Mattuschka, Marco, et al.
Publicado: (2025)

Local Multilevel Preconditioned Jacobi-Davidson Method for Elliptic Eigenvalue Problems on Adaptive Meshes
por: Guo, Jianing, et al.
Publicado: (2025)

Learning Sparse Approximate Inverse Preconditioners for Conjugate Gradient Solvers on GPUs
por: Yang, Zherui, et al.
Publicado: (2025)

Solving Inverse Obstacle Scattering Problem with Latent Surface Representations
por: Chen, Junqing, et al.
Publicado: (2023)

Dynamic Thresholding Algorithm with Memory for Linear Inverse Problems
por: Sun, Zhong-Feng, et al.
Publicado: (2024)

Forward and Inverse Problems in Nonlinear Acoustics
por: Kaltenbacher, Barbara
Publicado: (2025)