Datasets & Benchmarks

Training & evaluation datasets, scientific ML benchmarks

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20 resources

FM4PDE PDE Dataset

ScientificML
A public dataset for partial differential equation modeling, providing data resources for physics-field simulation and machine learning model training.
See LICENSE file Partial Differential EquationsPhysics DatasetScientific Machine Learning

PDE-OBS Numerical PDE Record Dataset

ScientificML
PDE-OBS provides complete numerical solutions for seven families of partial differential equations in the PDE-OBS benchmark, including stationary Darcy, Poisson, and Helmholtz equations and heat-related PDEs.
See LICENSE file Partial Differential EquationsNumerical SolutionsScientific Machine Learning

PDE-OBS Model

ScientificML
A downloadable model resource centered on partial differential equation modeling for scientific computing applications, with the exact physical domain and methodology left unspecified in the source. The repository name is the only substantive detail provided.
See LICENSE file Partial Differential EquationsModel ResourceScientific Computing

Physics Q&A Dataset for Qwen3.5

ScientificML
A question-and-answer dataset centered on physics, providing examples for data preparation, learning, and evaluation workflows in Physics AI. The resource is hosted on Hugging Face and identifies Qwen3.5 in its dataset name.
See LICENSE file Physics Q&APhysics AIQuestion-Answer Dataset

PDE-OBS Partial Differential Equation Benchmark Dataset

ScientificML
A benchmark dataset of complete numerical solutions for seven PDE families including Darcy, Poisson, and Helmholtz, generated by the benchmark's own solvers for scientific ML model evaluation.
See LICENSE file PDE benchmarknumerical solution datasetscientific ML

Adaption Materials Science QA Augmented Dataset

Materials
A technical Q&A dataset covering fundamental and advanced topics in materials science, including material properties, synthesis methods, characterization techniques, and engineering applications, designed for training technical response models.
See LICENSE file materials sciencetechnical Q&Asynthesis methods

PDE Surrogate Benchmark Dataset

ScientificML
A benchmark dataset for PDE surrogate tasks within the ai4sci-tasks evaluation framework, containing training trajectories and evaluation splits for assessing neural operator and surrogate modeling performance.
See LICENSE file PDE SurrogateBenchmark DatasetScientific ML

Science Materials Dataset

Materials
A materials science dataset hosted on HuggingFace, supporting machine learning and materials science cross-disciplinary research, containing relevant domain training or evaluation samples.
See LICENSE file Materials ScienceDatasetMachine Learning

SPUS PDE-UNet-36M Navier-Stokes PWC Model

CFD
A 36M-parameter UNet-based model for solving Navier-Stokes equations using a point-wise coupling strategy for high-accuracy flow field prediction.
See LICENSE file Navier-StokesPDE SolvingUNet

interpolant_pdes Dataset

ScientificML
A HuggingFace dataset repository related to PDE interpolants, supporting research at the intersection of physics modeling and machine learning.
See LICENSE file PDEinterpolantdataset

PDECert Natural-Candidate Pilot Benchmark

ScientificML
A provenance-bearing benchmark for verifying symbolic candidate solutions to PDEs, containing 20 records with generator outputs, verification cases, and human annotations for assessing symbolic solver reliability.
See LICENSE file PDESymbolic SolvingBenchmark

Cross-Representation PDE Evaluation Dataset

ScientificML
A PDE evaluation dataset containing 32 physical systems, each with four representations: source code, natural-language description, governing equation, and numerical trajectory, with both correct and corrupted variants.
See LICENSE file PDE evaluationcross-representation learningphysical systems

PDE Solver Code Perturbation Evaluation Dataset

ScientificML
A code perturbation dataset with 256 PDE solver implementations comprising 64 base programs and 4 lexical perturbation variants each, designed for evaluating LLM understanding of physics simulation code.
See LICENSE file PDE solvercode perturbationLLM evaluation

PDEControl_DPC - TI-DeepONet Training Datasets

ScientificML
Simulation training datasets for PDE control containing 3000 controlled trajectories generated by classical numerical solvers under randomly sampled control sequences, designed for training TI-DeepONet surrogate models.
See LICENSE file PDE controlDeepONetNeural operator

cluster-03-potential-flow-pinn Model

Physics-Informed Neural Networks
A HuggingFace repository containing a potential flow PINN clustering model, providing physics-informed neural network resources for potential flow modeling.
mit Physics-Informed Neural NetworksPotential FlowClustering
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