Saved in:
| Main Authors: | Gao, Zhiwei, Karniadakis, George |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.07160 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Proposal-Guided Greedy Surrogate Refinement for PDE-Driven High-Dimensional Rare-Event Estimation
by: Gao, Zhiwei, et al.
Published: (2026)
by: Gao, Zhiwei, et al.
Published: (2026)
Scalable Bayesian Physics-Informed Kolmogorov-Arnold Networks
by: Gao, Zhiwei, et al.
Published: (2025)
by: Gao, Zhiwei, et al.
Published: (2025)
Spectral Audit of In-Context Operator Networks
by: Gao, Zhiwei, et al.
Published: (2026)
by: Gao, Zhiwei, et al.
Published: (2026)
From LIF to QIF: Toward Differentiable Spiking Neurons for Scientific Machine Learning
by: Wan, Ruyin, et al.
Published: (2025)
by: Wan, Ruyin, et al.
Published: (2025)
DeepOnet Based Preconditioning Strategies For Solving Parametric Linear Systems of Equations
by: Kopaničáková, Alena, et al.
Published: (2024)
by: Kopaničáková, Alena, et al.
Published: (2024)
Nonlinear parametrization solver for fractional Burgers equations
by: Qin, Haojun, et al.
Published: (2026)
by: Qin, Haojun, et al.
Published: (2026)
Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models
by: Shekarpaz, Simin, et al.
Published: (2023)
by: Shekarpaz, Simin, et al.
Published: (2023)
Randomized Forward Mode Gradient for Spiking Neural Networks in Scientific Machine Learning
by: Wan, Ruyin, et al.
Published: (2024)
by: Wan, Ruyin, et al.
Published: (2024)
Analysis of biologically plausible neuron models for regression with spiking neural networks
by: De Florio, Mario, et al.
Published: (2023)
by: De Florio, Mario, et al.
Published: (2023)
Automatic discovery of optimal meta-solvers for time-dependent nonlinear PDEs
by: Lee, Youngkyu, et al.
Published: (2025)
by: Lee, Youngkyu, et al.
Published: (2025)
UFO: A Domain-Unification-Free Operator Framework for Generalized Operator Learning
by: Qiao, Hanli, et al.
Published: (2026)
by: Qiao, Hanli, et al.
Published: (2026)
ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms
by: Toscano, Juan Diego, et al.
Published: (2025)
by: Toscano, Juan Diego, et al.
Published: (2025)
Tensor neural networks for high-dimensional Fokker-Planck equations
by: Wang, Taorui, et al.
Published: (2024)
by: Wang, Taorui, et al.
Published: (2024)
Surrogate models for vibrational entropy based on a spatial decomposition
by: Torabi, Tina, et al.
Published: (2024)
by: Torabi, Tina, et al.
Published: (2024)
Automatic discovery of optimal meta-solvers via multi-objective optimization
by: Lee, Youngkyu, et al.
Published: (2024)
by: Lee, Youngkyu, et al.
Published: (2024)
KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics
by: Toscano, Juan Diego, et al.
Published: (2024)
by: Toscano, Juan Diego, et al.
Published: (2024)
Deep Neural networks for solving high-dimensional parabolic partial differential equations
by: Zhang, Wenzhong, et al.
Published: (2026)
by: Zhang, Wenzhong, et al.
Published: (2026)
A Variational Framework for Residual-Based Adaptivity in Neural PDE Solvers and Operator Learning
by: Toscano, Juan Diego, et al.
Published: (2025)
by: Toscano, Juan Diego, et al.
Published: (2025)
Adaptive operator learning for infinite-dimensional Bayesian inverse problems
by: Gao, Zhiwei, et al.
Published: (2023)
by: Gao, Zhiwei, et al.
Published: (2023)
Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs
by: Lee, Youngkyu, et al.
Published: (2025)
by: Lee, Youngkyu, et al.
Published: (2025)
NSPOD: Accelerating Krylov solvers via DeepONet-learned POD subspaces
by: Levrero-Florencio, Francesc, et al.
Published: (2026)
by: Levrero-Florencio, Francesc, et al.
Published: (2026)
A Short Report on Importance Sampling for Rare Event Simulation in Diffusions
by: Gao, Zhiwei
Published: (2025)
by: Gao, Zhiwei
Published: (2025)
Zero variance self-normalized importance sampling via estimating equations
by: Owen, Art B.
Published: (2025)
by: Owen, Art B.
Published: (2025)
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system
by: Herda, Maxime, et al.
Published: (2022)
by: Herda, Maxime, et al.
Published: (2022)
Structure-preserving schemes conserving entropy and kinetic energy
by: Bahuguna, Kunal, et al.
Published: (2025)
by: Bahuguna, Kunal, et al.
Published: (2025)
Adaptive sampling accelerates the hybrid deviational particle simulations
by: Lei, Zhengyang, et al.
Published: (2024)
by: Lei, Zhengyang, et al.
Published: (2024)
Energy landscapes and rare events
by: E, Weinan, et al.
Published: (2002)
by: E, Weinan, et al.
Published: (2002)
Noisy nonlinear information and entropy numbers
by: Krieg, David, et al.
Published: (2025)
by: Krieg, David, et al.
Published: (2025)
An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations
by: Ricardo, Kieran, et al.
Published: (2023)
by: Ricardo, Kieran, et al.
Published: (2023)
Spatiotemporally adaptive compression for scientific dataset with feature preservation -- a case study on simulation data with extreme climate events analysis
by: Gong, Qian, et al.
Published: (2024)
by: Gong, Qian, et al.
Published: (2024)
Approximation of differential entropy in Bayesian optimal experimental design
by: Chen, Chuntao, et al.
Published: (2025)
by: Chen, Chuntao, et al.
Published: (2025)
Blending Neural Operators and Relaxation Methods in PDE Numerical Solvers
by: Zhang, Enrui, et al.
Published: (2022)
by: Zhang, Enrui, et al.
Published: (2022)
Quasi-Monte Carlo for unbounded integrands with importance sampling
by: Ouyang, Du, et al.
Published: (2023)
by: Ouyang, Du, et al.
Published: (2023)
Half precision wave simulation
by: Gao, Longfei, et al.
Published: (2023)
by: Gao, Longfei, et al.
Published: (2023)
A parallel-in-time method based on the Parareal algorithm and High-Order Dynamic Mode Decomposition with applications to fluid simulations
by: Liu, Weifan
Published: (2025)
by: Liu, Weifan
Published: (2025)
Numerical simulation of an extensible capsule using regularized Stokes kernels and overset finite differences
by: Agarwal, Dhwanit, et al.
Published: (2023)
by: Agarwal, Dhwanit, et al.
Published: (2023)
Two-scale Neural Networks for Partial Differential Equations with Small Parameters
by: Zhuang, Qiao, et al.
Published: (2024)
by: Zhuang, Qiao, et al.
Published: (2024)
SAV-based entropy-dissipative schemes for a class of kinetic equations
by: Zhang, Shiheng, et al.
Published: (2024)
by: Zhang, Shiheng, et al.
Published: (2024)
A generalized ENO reconstruction in compact GKS for compressible flow simulations
by: Zhao, Fengxiang, et al.
Published: (2025)
by: Zhao, Fengxiang, et al.
Published: (2025)
Multiple scales analysis of a nonlinear timestepping instability in simulations of solitons
by: Hyatt, Benjamin A., et al.
Published: (2024)
by: Hyatt, Benjamin A., et al.
Published: (2024)
Similar Items
-
Proposal-Guided Greedy Surrogate Refinement for PDE-Driven High-Dimensional Rare-Event Estimation
by: Gao, Zhiwei, et al.
Published: (2026) -
Scalable Bayesian Physics-Informed Kolmogorov-Arnold Networks
by: Gao, Zhiwei, et al.
Published: (2025) -
Spectral Audit of In-Context Operator Networks
by: Gao, Zhiwei, et al.
Published: (2026) -
From LIF to QIF: Toward Differentiable Spiking Neurons for Scientific Machine Learning
by: Wan, Ruyin, et al.
Published: (2025) -
DeepOnet Based Preconditioning Strategies For Solving Parametric Linear Systems of Equations
by: Kopaničáková, Alena, et al.
Published: (2024)