poisson
Datasets
All datasets matching “poisson”pairwise-poisson-algebras
Pairwise Poisson Algebras: Neural Networks vs Physics
Dataset Description
This dataset contains the first systematic computation of pairwise Poisson bracket Lie algebras for both neural network training dynamics and physical N-body systems. SGD with momentum is a Hamiltonian system; the pairwise interactions between weight layers generate a Lie algebra — and we discover that neural networks produce richer algebraic structures than any physical system.
Neural… See the full description on the dataset page: https://huggingface.co/datasets/bshepp/pairwise-poisson-algebras.Poisson-Gauss
Short Description
Based on the Poisson equation, this dataset contains the solution when given a source term that is a sum of Gaussians, see https://arxiv.org/abs/2405.19101.
Dimensions
The NetCDF file has two variables called solution with dimensionality
20000 (number of samples)
128 (x-dim)
128 (y-dim)
and source with dimensionality:
20000 (number of samples)
128 (x-dim)
128 (y-dim)
Train/Val/Test-split
19640/120/240 trajectories
Download
The… See the full description on the dataset page: https://huggingface.co/datasets/camlab-ethz/Poisson-Gauss.piper_isaacsim_top_wrist_D1_100ep_paired_poissonThis dataset was created using LeRobot.
Dataset Structure
meta/info.json:
{
"codebase_version": "v3.0",
"robot_type": "isaac_piper",
"total_episodes": 100,
"total_frames": 24744,
"total_tasks": 2,
"chunks_size": 1000,
"data_files_size_in_mb": 100,
"video_files_size_in_mb": 200,
"fps": 15,
"splits": {
"train": "0:100"
},
"data_path": "data/chunk-{chunk_index:03d}/file-{file_index:03d}.parquet",
"video_path":… See the full description on the dataset page: https://huggingface.co/datasets/shenj/piper_isaacsim_top_wrist_D1_100ep_paired_poisson.piper_isaacsim_top_wrist_D1_50ep_paired_poisson_red_v1This dataset was created using LeRobot.
Dataset Structure
meta/info.json:
{
"codebase_version": "v3.0",
"robot_type": "isaac_piper",
"total_episodes": 50,
"total_frames": 12324,
"total_tasks": 1,
"chunks_size": 1000,
"data_files_size_in_mb": 100,
"video_files_size_in_mb": 200,
"fps": 15,
"splits": {
"train": "0:50"
},
"data_path": "data/chunk-{chunk_index:03d}/file-{file_index:03d}.parquet",
"video_path":… See the full description on the dataset page: https://huggingface.co/datasets/shenj/piper_isaacsim_top_wrist_D1_50ep_paired_poisson_red_v1.piper_isaacsim_top_wrist_D1_50ep_paired_poisson_green_v1This dataset was created using LeRobot.
Dataset Structure
meta/info.json:
{
"codebase_version": "v3.0",
"robot_type": "isaac_piper",
"total_episodes": 50,
"total_frames": 12420,
"total_tasks": 1,
"chunks_size": 1000,
"data_files_size_in_mb": 100,
"video_files_size_in_mb": 200,
"fps": 15,
"splits": {
"train": "0:50"
},
"data_path": "data/chunk-{chunk_index:03d}/file-{file_index:03d}.parquet",
"video_path":… See the full description on the dataset page: https://huggingface.co/datasets/shenj/piper_isaacsim_top_wrist_D1_50ep_paired_poisson_green_v1.Glossaire_poissons_mer
[!NOTE]
Dataset origin: https://www.fr.brezhoneg.bzh/49-lexiques.htm