Lyapunov / README.md
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metadata
license: mit
dataset_info:
  features:
    - name: vector_field
      dtype: string
    - name: lyap_fn
      dtype: string
  splits:
    - name: train
      num_bytes: 958156691
      num_examples: 1013380
    - name: valid
      num_bytes: 190205
      num_examples: 200
    - name: test
      num_bytes: 180265
      num_examples: 200
  download_size: 1537893828
  dataset_size: 958527161
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/train-*
      - split: valid
        path: data/valid-*
      - split: test
        path: data/test-*

Reproduced the dataset from the paper "Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers" by (Alberto Alfarano, François Charton, Amaury Hayat). The code for generating this dataset is 100% written by the authors.

The dataset was generated by cloning their GitHub Repository and running the following command:

python train.py --dump_path dataset/ --export_data true --reload_data '' --env_base_seed -1  --num_workers 64 --max_degree 12 --lyap_n_terms 24 --lyap_nb_ops_lyap 24 --lyap_strict True