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  ---
 
 
 
 
 
 
 
 
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  dataset_info:
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  features:
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  - name: Base_2_2/Zone
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  - split: test
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  path: data/test-*
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  ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
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+ license: cc-by-sa-4.0
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+ task_categories:
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+ - graph-ml
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+ pretty_name: 2D quasistatic non-linear structural mechanics with finite elasticity
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+ and topology variations
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+ tags:
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+ - physics learning
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+ - geometry learning
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  dataset_info:
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  features:
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  - name: Base_2_2/Zone
 
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  - split: test
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  path: data/test-*
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  ---
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+ <p align='center'>
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+ <img src='https://i.ibb.co/JR7bWLNn/Logo-2-D-Multiscale-Hyperelasticity-2-consolas-100.png' alt='https://i.ibb.co/JR7bWLNn/Logo-2-D-Multiscale-Hyperelasticity-2-consolas-100.png' width='1000'/>
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+ <img src='https://i.ibb.co/zHFQFnPR/2-D-Multiscale-Hyperelasticity.png' alt='https://i.ibb.co/zHFQFnPR/2-D-Multiscale-Hyperelasticity.png' width='1000'/>
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+ </p>
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+
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+ ```yaml
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+ legal:
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+ owner: Safran
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+ license: cc-by-sa-4.0
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+ data_production:
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+ type: simulation
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+ physics: 2D quasistatic non-linear structural mechanics, finite elasticity (large
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+ strains), P1 elements, compressible hyperelastic material
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+ simulator: fenics
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+ num_samples:
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+ train: 764
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+ test: 376
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+ storage_backend: hf_datasets
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+ plaid:
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+ version: 0.1.11.dev21+g94f13b9c8
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+
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+ ```
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+ This dataset was generated with [`plaid`](https://plaid-lib.readthedocs.io/), we refer to this documentation for additional details on how to extract data from `plaid_sample` objects.
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+
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+ The simplest way to use this dataset is to first download it:
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+ ```python
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+ from plaid.storage import download_from_hub
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+
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+ repo_id = "channel/dataset"
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+ local_folder = "downloaded_dataset"
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+
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+ download_from_hub(repo_id, local_folder)
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+ ```
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+
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+ Then, to iterate over the dataset and instantiate samples:
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+ ```python
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+ from plaid.storage import init_from_disk
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+
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+ local_folder = "downloaded_dataset"
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+ split_name = "train"
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+
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+ datasetdict, converterdict = init_from_disk(local_folder)
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+
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+ dataset = datasetdict[split]
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+ converter = converterdict[split]
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+
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+ for i in range(len(dataset)):
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+ raw_sample = dataset[i]
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+ plaid_sample = converter.to_plaid(dataset, i)
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+ ```
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+
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+ It is possible to stream the data directly:
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+ ```python
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+ from plaid.storage import init_streaming_from_hub
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+
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+ repo_id = "channel/dataset"
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+
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+ datasetdict, converterdict = init_streaming_from_hub(repo_id)
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+
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+ dataset = datasetdict[split]
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+ converter = converterdict[split]
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+
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+ for sample_raw in dataset:
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+ plaid_sample = converter.sample_to_plaid(sample_raw)
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+ ```
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+
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+ Plaid samples' features can be retrieved like the following:
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+ ```python
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+ from plaid.storage import load_problem_definitions_from_disk
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+ local_folder = "downloaded_dataset"
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+ pb_defs = load_problem_definitions_from_disk(local_folder)
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+
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+ # or
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+ from plaid.storage import load_problem_definitions_from_hub
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+ repo_id = "channel/dataset"
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+ pb_defs = load_problem_definitions_from_hub(repo_id)
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+
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+
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+ pb_def = pb_defs[0]
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+
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+ plaid_sample = ... # use a method from above to instantiate a plaid sample
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+
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+ for t in plaid_sample.get_all_time_values():
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+ for path in pb_def.get_in_features_identifiers():
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+ plaid_sample.get_feature_by_path(path=path, time=t)
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+ for path in pb_def.get_out_features_identifiers():
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+ plaid_sample.get_feature_by_path(path=path, time=t)
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+ ```
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+
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+ For those familiar with HF's `datasets` library, raw data can be retrieved without using the `plaid` library:
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+ ```python
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+ from datasets import load_dataset
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+
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+ repo_id = "channel/dataset"
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+
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+ datasetdict = load_dataset(repo_id)
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+
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+ for split_name, dataset in datasetdict.items():
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+ for raw_sample in dataset:
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+ for feat_name in dataset.column_names:
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+ feature = raw_sample[feat_name]
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+ ```
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+ Notice that raw data refers to the variable features only, with a specific encoding for time variable features.
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+
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+ ### Dataset Sources
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+
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+ - **Papers:**
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+ - [arxiv](https://arxiv.org/abs/2505.02974)