Neural Operator-Grounded Continuous Tensor Function Representation and Its Applications
Fuente:
arXiv
Saved in:
| Main Authors: | Su, Ruoyang, Zhao, Xi-Le, Liu, Sheng, Wu, Wei-Hao, Luo, Yisi, Ng, Michael K. |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Provably Efficient Method for Tensor Ring Decomposition and Its Applications
by: Chen, Han, et al.
Published: (2025)
by: Chen, Han, et al.
Published: (2025)
Block Diagonalization of Quaternion Circulant Matrices with Applications
by: Pan, Junjun, et al.
Published: (2023)
by: Pan, Junjun, et al.
Published: (2023)
A New Tensor Network: Tubal Tensor Train and Its Applications
by: Ahmadi-Asl, Salman, et al.
Published: (2026)
by: Ahmadi-Asl, Salman, et al.
Published: (2026)
Randomized Tensor Ring Decomposition and Its Application to Large-scale Data Reconstruction
by: Yuan, Longhao, et al.
Published: (2019)
by: Yuan, Longhao, et al.
Published: (2019)
A Tensor Train Approach for Deterministic Arithmetic Operations on Discrete Representations of Probability Distributions
by: Kirsten, Gerhard, et al.
Published: (2025)
by: Kirsten, Gerhard, et al.
Published: (2025)
MscaleFNO: Multi-scale Fourier Neural Operator Learning for Oscillatory Function Spaces
by: You, Zhilin, et al.
Published: (2024)
by: You, Zhilin, et al.
Published: (2024)
Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions
by: Lin, Xue-lei, et al.
Published: (2025)
by: Lin, Xue-lei, et al.
Published: (2025)
Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
by: Barrera, Domingo, et al.
Published: (2025)
by: Barrera, Domingo, et al.
Published: (2025)
Functional tensor train neural network for solving high-dimensional PDEs
by: Feng, Yani, et al.
Published: (2025)
by: Feng, Yani, et al.
Published: (2025)
Convergence Guarantees for Gradient-Based Training of Neural PDE Solvers: From Linear to Nonlinear PDEs
by: Zhao, Wei, et al.
Published: (2025)
by: Zhao, Wei, et al.
Published: (2025)
Reduced-Order Solution for Rarefied Gas Flow by Proper Generalised Decomposition
by: Su, Wei, et al.
Published: (2025)
by: Su, Wei, et al.
Published: (2025)
Tensor-Product Split-Simplex Summation-By-Parts Operators
by: Worku, Zelalem Arega, et al.
Published: (2024)
by: Worku, Zelalem Arega, et al.
Published: (2024)
Function Extrapolation with Neural Networks and Its Application for Manifolds
by: Hay, Guy, et al.
Published: (2024)
by: Hay, Guy, et al.
Published: (2024)
Group Sparse-based Tensor CP Decomposition: Model, Algorithms, and Applications in Chemometrics
by: Wang, Zihao, et al.
Published: (2025)
by: Wang, Zihao, et al.
Published: (2025)
A New Cross-Space Total Variation Regularization Model for Color Image Restoration with Quaternion Blur Operator
by: Jia, Zhigang, et al.
Published: (2024)
by: Jia, Zhigang, et al.
Published: (2024)
A Mathematical Analysis of Neural Operator Behaviors
by: Le, Vu-Anh, et al.
Published: (2024)
by: Le, Vu-Anh, et al.
Published: (2024)
Finite Element Representation Network (FERN) for Operator Learning with a Localized Trainable Basis
by: Zhang, Zecheng, et al.
Published: (2025)
by: Zhang, Zecheng, et al.
Published: (2025)
Approximation of High-Dimensional Gibbs Distributions with Functional Hierarchical Tensors
by: Sheng, Nan, et al.
Published: (2025)
by: Sheng, Nan, et al.
Published: (2025)
Spectral Neural Operators
by: Fanaskov, V., et al.
Published: (2022)
by: Fanaskov, V., et al.
Published: (2022)
Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions
by: Ceruti, Gianluca, et al.
Published: (2024)
by: Ceruti, Gianluca, et al.
Published: (2024)
Tensor Neural Network Interpolation and Its Applications
by: Li, Yongxin, et al.
Published: (2024)
by: Li, Yongxin, et al.
Published: (2024)
Neural Parameter Regression for Explicit Representations of PDE Solution Operators
by: Mundinger, Konrad, et al.
Published: (2024)
by: Mundinger, Konrad, et al.
Published: (2024)
FNWoS: Fractional Neural Walk-on-Spheres Methods for High-Dimensional PDEs Driven by $α$-stable Lévy Process on Irregular Domains
by: Guo, Ling, et al.
Published: (2026)
by: Guo, Ling, et al.
Published: (2026)
Dual-Valued Functions of Dual Matrices with Applications in Causal Emergence
by: Wei, Tong, et al.
Published: (2024)
by: Wei, Tong, et al.
Published: (2024)
Discrete Differential Principle for Continuous Smooth Function Representation
by: Wang, Guoyou, et al.
Published: (2025)
by: Wang, Guoyou, et al.
Published: (2025)
Neural Operator: Learning Maps Between Function Spaces
by: Kovachki, Nikola, et al.
Published: (2021)
by: Kovachki, Nikola, et al.
Published: (2021)
Efficient Algorithms for Low Tubal Rank Tensor Approximation with Applications
by: Ahmadi-Asl, Salman, et al.
Published: (2024)
by: Ahmadi-Asl, Salman, et al.
Published: (2024)
Diffeomorphic Neural Operator Learning
by: Taylor, Seth, et al.
Published: (2025)
by: Taylor, Seth, et al.
Published: (2025)
How Analysis Can Teach Us the Optimal Way to Design Neural Operators
by: Le, Vu-Anh, et al.
Published: (2024)
by: Le, Vu-Anh, et al.
Published: (2024)
A PDE Perspective on Approximating Nonlocal Periodic Operators with Applications on Neural Networks for Critical SQG Equations
by: Abdo, Elie, et al.
Published: (2024)
by: Abdo, Elie, et al.
Published: (2024)
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition
by: Gao, Yihang, et al.
Published: (2022)
by: Gao, Yihang, et al.
Published: (2022)
Second-Generation Wavelet-inspired Tensor Product with Applications in Hyperspectral Imaging
by: Panchal, Aneesh, et al.
Published: (2026)
by: Panchal, Aneesh, et al.
Published: (2026)
A DeepLagrangian method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems
by: Feng, Yani, et al.
Published: (2025)
by: Feng, Yani, et al.
Published: (2025)
Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
by: Singh, Navjot, et al.
Published: (2025)
by: Singh, Navjot, et al.
Published: (2025)
Windowed Fourier Propagator: A Frequency-Local Neural Operator for Wave Equations in Inhomogeneous Media
by: Cai, Yiyang, et al.
Published: (2026)
by: Cai, Yiyang, et al.
Published: (2026)
Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
by: Zeng, Chenyu, et al.
Published: (2025)
by: Zeng, Chenyu, et al.
Published: (2025)
Randomized Functional Sparse Tucker Tensor for Compression and Fast Visualization of Scientific Data
by: Rai, Prashant, et al.
Published: (2019)
by: Rai, Prashant, et al.
Published: (2019)
Incorporating Continuous Dependence Qualifies Physics-Informed Neural Networks for Operator Learning
by: Li, Guojie, et al.
Published: (2026)
by: Li, Guojie, et al.
Published: (2026)
A new Representation of $α$-Bernstein Operators
by: Saeidian, Jamshid, et al.
Published: (2024)
by: Saeidian, Jamshid, et al.
Published: (2024)
A Geometry-Aware Operator Learning Framework for Interface Problems on Varying Domains
by: Xiao, Shanshan, et al.
Published: (2026)
by: Xiao, Shanshan, et al.
Published: (2026)
Similar Items
-
A Provably Efficient Method for Tensor Ring Decomposition and Its Applications
by: Chen, Han, et al.
Published: (2025) -
Block Diagonalization of Quaternion Circulant Matrices with Applications
by: Pan, Junjun, et al.
Published: (2023) -
A New Tensor Network: Tubal Tensor Train and Its Applications
by: Ahmadi-Asl, Salman, et al.
Published: (2026) -
Randomized Tensor Ring Decomposition and Its Application to Large-scale Data Reconstruction
by: Yuan, Longhao, et al.
Published: (2019) -
A Tensor Train Approach for Deterministic Arithmetic Operations on Discrete Representations of Probability Distributions
by: Kirsten, Gerhard, et al.
Published: (2025)