Cover Image

Overcoming Spectral Bias via Cross-Attention

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Feng, Xiaodong, Tang, Tao, Wan, Xiaoliang, Zhou, Tao
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A hybrid FEM-PINN method for time-dependent partial differential equations
by: Feng, Xiaodong, et al.
Published: (2024)

Integral regularization PINNs for evolution equations
by: Feng, Xiaodong, et al.
Published: (2025)

FLUID: Flow-based Unified Inference for Dynamics
by: Cui, Tiangang, et al.
Published: (2026)

Moving sample method for solving time-dependent partial differential equations
by: Xu, Beining, et al.
Published: (2026)

Coupling the reduced-order model and the generative model for an importance sampling estimator
by: Wan, Xiaoliang, et al.
Published: (2019)

Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs
by: Tang, Kejun, et al.
Published: (2023)

Deep adaptive sampling for surrogate modeling without labeled data
by: Wang, Xili, et al.
Published: (2024)

From Frequency Bias to Spectral Balance: Operator-Aware Preconditioners for PINNs
by: He, Roy Y., et al.
Published: (2026)

Latent representation learning based model correction and uncertainty quantification for PDEs
by: Zhou, Wenwen, et al.
Published: (2026)

Energy diminishing implicit-explicit Runge--Kutta methods for gradient flows
by: Fu, Zhaohui, et al.
Published: (2022)

Adaptive mesh methods for hyperbolic conservation laws with bound-preserving flux limiters
by: Gu, Yaguang, et al.
Published: (2026)

Automated construction of effective potential via algorithmic implicit bias
by: Li, Xingjie Helen, et al.
Published: (2024)

Numerical approximation of elliptic problems with log-normal random coefficients
by: Wan, Xiaoliang, et al.
Published: (2018)

Deep random difference method for high-dimensional quasilinear parabolic partial differential equations
by: Cai, Wei, et al.
Published: (2025)

SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation without Explicit inf H in Stochastic Optimal Controls
by: Cai, Wei, et al.
Published: (2024)

Adaptive neural network basis methods for partial differential equations with low-regular solutions
by: Huang, Jianguo, et al.
Published: (2024)

Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\varepsilon$-Rank
by: Tang, Tao, et al.
Published: (2025)

High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems
by: Zheng, Shaoqin, et al.
Published: (2024)

Energy Dissipation Preserving Feature-based DNN Galerkin Methods for Gradient Flows
by: Tang, Tao, et al.
Published: (2026)

Deep Adaptive Dimension Reduction for Bayesian Inference in Inverse Problems
by: Wang, Yueyang, et al.
Published: (2026)

SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning
by: Zhou, Qixuan, et al.
Published: (2025)

Deep Parallel Spectral Neural Operators for Solving Partial Differential Equations with Enhanced Low-Frequency Learning Capability
by: Ma, Qinglong, et al.
Published: (2024)

Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations
by: Liao, Hong-lin, et al.
Published: (2022)

Convergence Guarantees for Gradient-Based Training of Neural PDE Solvers: From Linear to Nonlinear PDEs
by: Zhao, Wei, et al.
Published: (2025)

Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem
by: Yu, Tao, et al.
Published: (2024)

Deep Policy Iteration for High-Dimensional Mean-Field Games with Regenerative Reformulation
by: Fang, Shuixin, et al.
Published: (2026)

Escaping Spectral Bias without Backpropagation: Fast Implicit Neural Representations with Extreme Learning Machines
by: Cho, Woojin, et al.
Published: (2026)

Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
by: Guessab, Allal, et al.
Published: (2026)

Exponential Time Differencing Runge-Kutta Discontinuous Galerkin (ETD-RKDG) Methods for Nonlinear Degenerate Parabolic Equations
by: Xu, Ziyao, et al.
Published: (2025)

Distinct Numerical Solutions for Elliptic Cross-Interface Problems Using Finite Element and Finite Difference Methods
by: Feng, Qiwei
Published: (2024)

A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements
by: Guo, Yukun, et al.
Published: (2026)

On preconditioned Riemannian gradient methods for minimizing the Gross-Pitaevskii energy functional: algorithms, global convergence and optimal local convergence rate
by: Feng, Zixu, et al.
Published: (2025)

Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal strong damping
by: Guo, Tao, et al.
Published: (2025)

Semi-Discrete in Time Method for Time-Dependent Equations by Random Neural Basis
by: Wang, Guihong, et al.
Published: (2025)

An efffcient numerical scheme for two-dimensional nonlinear time fractional Schrödinger equation
by: Ma, Jun, et al.
Published: (2025)

Heterogeneous Multiscale Method for elliptic problem without scale separation
by: Yu, Tao, et al.
Published: (2024)

Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations
by: Zhao, Lidan, et al.
Published: (2024)

Exploring incentive strategies and predicting development trends for new energy vehicles
by: Jin, Tao, et al.
Published: (2024)

Dynamics Over Landscape: The Emergence of Linear Separability via Spectral Alignment in Contrastive Learning
by: Calder, Jeff, et al.
Published: (2025)

Spectral Neural Operators
by: Fanaskov, V., et al.
Published: (2022)