README.md

---
license: apache-2.0
task_categories:
- video-classification
tags:
- physics
- video-regression
- benchmark
- physical-laws
size_categories:
- 1K<n<10K
configs:
- config_name: pendulum
  data_files:
  - split: test
    path: pendulum/test-*.parquet
- config_name: rigidCollision
  data_files:
  - split: test
    path: rigidCollision/test-*.parquet
- config_name: sphereDrop3D
  data_files:
  - split: test
    path: sphereDrop3D/test-*.parquet
- config_name: dye2d
  data_files:
  - split: test
    path: dye2d/test-*.parquet
- config_name: flowpastcylinder2d
  data_files:
  - split: test
    path: flowpastcylinder2d/test-*.parquet
- config_name: totalInternalReflection
  data_files:
  - split: test
    path: totalInternalReflection/test-*.parquet
- config_name: doubleSlitInterference
  data_files:
  - split: test
    path: doubleSlitInterference/test-*.parquet
- config_name: cylinderTorsion3D
  data_files:
  - split: test
    path: cylinderTorsion3D/test-*.parquet
- config_name: longCuboidBending3D
  data_files:
  - split: test
    path: longCuboidBending3D/test-*.parquet
- config_name: hyperelasticNeoHookeanCuboid3D
  data_files:
  - split: test
    path: hyperelasticNeoHookeanCuboid3D/test-*.parquet
dataset_info:
- config_name: pendulum
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: rigidCollision
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: sphereDrop3D
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: dye2d
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: flowpastcylinder2d
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: totalInternalReflection
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: doubleSlitInterference
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: cylinderTorsion3D
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: longCuboidBending3D
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
- config_name: hyperelasticNeoHookeanCuboid3D
  features:
  - name: family
    dtype: string
  - name: id
    dtype: string
  - name: video
    dtype: video
  - name: regression_attribute
    dtype: string
  - name: regression_value
    dtype: float64
  splits:
  - name: test
    num_examples: 500
---

# World Embedding Regression

World Embedding Regression is the physical-property regression dataset from the
[World Embedding Benchmark](https://arxiv.org/pdf/2610.03632). It contains
5,000 simulation videos across 10 physics families, with 500 examples in each
dataset configuration.

## Usage

```python
from datasets import load_dataset

dataset = load_dataset(
    "World-Representation-Lab/World-Embedding-Regression",
    "pendulum",
    split="test",
)
```

## Fields

- `family`: physics family.
- `id`: unique example identifier.
- `video`: simulation video.
- `regression_attribute`: physical quantity to predict.
- `regression_value`: continuous target value.

The fixed test and scaling splits used by the benchmark are distributed with
the [evaluation code](https://github.com/World-Representation-Lab/World-Embedding-Benchmark).

## Citation

```bibtex
@misc{liu2026worldembeddingbenchmark,
  title         = {World Embedding Benchmark},
  author        = {Yiqi Liu and Ruifeng Yuan and Yang Wang and Long Li and Fengyu Cai and Hou Pong Chan and Jialin Yu and Hao Zhang and Chenghua Lin and Chenghao Xiao},
  year          = {2026},
  eprint        = {2610.03632},
  archivePrefix = {arXiv},
  primaryClass  = {cs.CV},
  url           = {https://arxiv.org/abs/2610.03632}
}
```