Artifacts of Numerical Integration in Learning Dynamical Systems
Fuente:
arXiv
Saved in:
| Main Authors: | Lu, Bing-Ze, Tsai, Richard |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The Numerical Stability of Hyperbolic Representation Learning
by: Mishne, Gal, et al.
Published: (2022)
by: Mishne, Gal, et al.
Published: (2022)
Efficient Numerical Integration in Reproducing Kernel Hilbert Spaces via Leverage Scores Sampling
by: Chatalic, Antoine, et al.
Published: (2023)
by: Chatalic, Antoine, et al.
Published: (2023)
Learning Stochastic Dynamical Systems with Structured Noise
by: Guo, Ziheng, et al.
Published: (2025)
by: Guo, Ziheng, et al.
Published: (2025)
Machine Learning-Based Nonlinear Nudging for Chaotic Dynamical Systems
by: Oh, Jaemin, et al.
Published: (2025)
by: Oh, Jaemin, et al.
Published: (2025)
When do World Models Successfully Learn Dynamical Systems?
by: Ross, Edmund, et al.
Published: (2025)
by: Ross, Edmund, et al.
Published: (2025)
In-Context Learning of Linear Systems: Generalization Theory and Applications to Operator Learning
by: Cole, Frank, et al.
Published: (2024)
by: Cole, Frank, et al.
Published: (2024)
Recent and Upcoming Developments in Randomized Numerical Linear Algebra for Machine Learning
by: Dereziński, Michał, et al.
Published: (2024)
by: Dereziński, Michał, et al.
Published: (2024)
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
by: Wang, Yixuan
Published: (2026)
by: Wang, Yixuan
Published: (2026)
Fuzzy PyTorch: Rapid Numerical Variability Evaluation for Deep Learning Models
by: Gonzalez-Pepe, Inés, et al.
Published: (2026)
by: Gonzalez-Pepe, Inés, et al.
Published: (2026)
A Numerical Method for Coupling Parameterized Physics-Informed Neural Networks and FDM for Advanced Thermal-Hydraulic System Simulation
by: Shin, Jeesuk, et al.
Published: (2026)
by: Shin, Jeesuk, et al.
Published: (2026)
An Augmented Backward-Corrected Projector Splitting Integrator for Dynamical Low-Rank Training
by: Kusch, Jonas, et al.
Published: (2025)
by: Kusch, Jonas, et al.
Published: (2025)
Machine Learning Based Optimization Workflow for Tuning Numerical Settings of Differential Equation Solvers for Boundary Value Problems
by: Victor, Viny Saajan, et al.
Published: (2024)
by: Victor, Viny Saajan, et al.
Published: (2024)
Numerical Error Analysis of Large Language Models
by: Budzinskiy, Stanislav, et al.
Published: (2025)
by: Budzinskiy, Stanislav, et al.
Published: (2025)
Power Transform Revisited: Numerically Stable, and Federated
by: Xu, Xuefeng, et al.
Published: (2025)
by: Xu, Xuefeng, et al.
Published: (2025)
Parallel-in-Time Probabilistic Numerical ODE Solvers
by: Bosch, Nathanael, et al.
Published: (2023)
by: Bosch, Nathanael, et al.
Published: (2023)
Numerical Considerations for the Construction of Karhunen-Loève Expansions
by: Safta, Cosmin, et al.
Published: (2026)
by: Safta, Cosmin, et al.
Published: (2026)
Blending Neural Operators and Relaxation Methods in PDE Numerical Solvers
by: Zhang, Enrui, et al.
Published: (2022)
by: Zhang, Enrui, et al.
Published: (2022)
Pychop: Emulating Low-Precision Arithmetic in Numerical Methods and Neural Networks
by: Carson, Erin, et al.
Published: (2025)
by: Carson, Erin, et al.
Published: (2025)
Accelerating Natural Gradient Descent for PINNs with Randomized Numerical Linear Algebra
by: Bioli, Ivan, et al.
Published: (2025)
by: Bioli, Ivan, et al.
Published: (2025)
Learn Singularly Perturbed Solutions via Homotopy Dynamics
by: Chen, Chuqi, et al.
Published: (2025)
by: Chen, Chuqi, et al.
Published: (2025)
Learning to Solve Related Linear Systems
by: Hegde, Disha, et al.
Published: (2025)
by: Hegde, Disha, et al.
Published: (2025)
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)
Learning Epidemiological Dynamics via the Finite Expression Method
by: Du, Jianda, et al.
Published: (2024)
by: Du, Jianda, et al.
Published: (2024)
Propagating Model Uncertainty through Filtering-based Probabilistic Numerical ODE Solvers
by: Yao, Dingling, et al.
Published: (2025)
by: Yao, Dingling, et al.
Published: (2025)
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws
by: Kim, Taeyoung, et al.
Published: (2024)
by: Kim, Taeyoung, et al.
Published: (2024)
Accelerating Legacy Numerical Solvers by Non-intrusive Gradient-based Meta-solving
by: Arisaka, Sohei, et al.
Published: (2024)
by: Arisaka, Sohei, et al.
Published: (2024)
Numerical Analysis of HiPPO-LegS ODE for Deep State Space Models
by: Park, Jaesung R., et al.
Published: (2024)
by: Park, Jaesung R., et al.
Published: (2024)
Numerical Fragility in Transformers: A Layer-wise Theory for Explaining, Forecasting, and Mitigating Instability
by: Baek, Jinwoo
Published: (2025)
by: Baek, Jinwoo
Published: (2025)
A PDE-based Explanation of Extreme Numerical Sensitivities and Edge of Stability in Training Neural Networks
by: Sun, Yuxin, et al.
Published: (2022)
by: Sun, Yuxin, et al.
Published: (2022)
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks
by: Kalyan, Anirudh, et al.
Published: (2025)
by: Kalyan, Anirudh, et al.
Published: (2025)
Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators
by: Pellegrini, Luca, et al.
Published: (2025)
by: Pellegrini, Luca, et al.
Published: (2025)
Temporal Difference Learning for High-Dimensional PIDEs with Jumps
by: Lu, Liwei, et al.
Published: (2023)
by: Lu, Liwei, et al.
Published: (2023)
Data-Driven Model Reduction using WeldNet: Windowed Encoders for Learning Dynamics
by: Dahal, Biraj, et al.
Published: (2025)
by: Dahal, Biraj, et al.
Published: (2025)
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs
by: Sun, Shuwen, et al.
Published: (2025)
by: Sun, Shuwen, et al.
Published: (2025)
Sketch 'n Solve: An Efficient Python Package for Large-Scale Least Squares Using Randomized Numerical Linear Algebra
by: Lavaee, Alex
Published: (2024)
by: Lavaee, Alex
Published: (2024)
Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems
by: Zhang, Ce, et al.
Published: (2023)
by: Zhang, Ce, et al.
Published: (2023)
Weak Form Scientific Machine Learning: Test Function Construction for System Identification
by: Tran, April, et al.
Published: (2025)
by: Tran, April, et al.
Published: (2025)
Bayesian Quadrature: Gaussian Processes for Integration
by: Mahsereci, Maren, et al.
Published: (2026)
by: Mahsereci, Maren, et al.
Published: (2026)
Optimizing Mixed Quantum Channels via Projected Gradient Dynamics
by: Lin, Matthew M., et al.
Published: (2025)
by: Lin, Matthew M., et al.
Published: (2025)
Predicting Wave Dynamics using Deep Learning with Multistep Integration Inspired Attention and Physics-Based Loss Decomposition
by: Deo, Indu Kant, et al.
Published: (2025)
by: Deo, Indu Kant, et al.
Published: (2025)
Similar Items
-
The Numerical Stability of Hyperbolic Representation Learning
by: Mishne, Gal, et al.
Published: (2022) -
Efficient Numerical Integration in Reproducing Kernel Hilbert Spaces via Leverage Scores Sampling
by: Chatalic, Antoine, et al.
Published: (2023) -
Learning Stochastic Dynamical Systems with Structured Noise
by: Guo, Ziheng, et al.
Published: (2025) -
Machine Learning-Based Nonlinear Nudging for Chaotic Dynamical Systems
by: Oh, Jaemin, et al.
Published: (2025) -
When do World Models Successfully Learn Dynamical Systems?
by: Ross, Edmund, et al.
Published: (2025)