Poisson

The 'Poisson' dataset/benchmark contains data related to the Poisson partial differential equation and is used to evaluate the performance of diffusion models in solving PDEs.

Papers using Poisson (10)

Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs2025 · 6 citesA Conformal Prediction Framework for Uncertainty Quantification in Physics-Informed Neural Networks2025 · 2 citesDiffusion models with physics-guided inference for solving partial differential equations2026Physics-informed diffusion models in spectral space2026RRaPINNs: Residual Risk-Aware Physics Informed Neural Networks2025Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture2025NAS-PINN: Neural architecture search-guided physics-informed neural network for solving PDEs2023 · 99 citesCan Physics-Informed Neural Networks beat the Finite Element Method?2023 · 11 citesRBF-MGN:Solving spatiotemporal PDEs with Physics-informed Graph Neural Network2022 · 2 citesUnsupervised Random Quantum Networks for PDEs2023