video_id stringclasses 556
values | video_source stringclasses 4
values | video_type stringclasses 37
values | fps int64 22 120 | inference_type stringclasses 4
values | question stringlengths 30 121 | prior stringclasses 246
values | depth_info stringclasses 131
values |
|---|---|---|---|---|---|---|---|
simulation_0007 | simulation | S2MC | 24 | SS | What is the width of the wooden pier in meters? | length of boat = 3.62m | null |
simulation_0007 | simulation | S2MC | 24 | SS | What is the length of the pier in meters? | length of boat = 3.62m | null |
simulation_0007 | simulation | S2MC | 24 | SS | When t=3s, what is the minimum distance from the outer end of the pier to the boat in meters? | length of boat = 3.62m | null |
simulation_0007 | simulation | S2MC | 24 | SD | What is the speed of the boat at 1.0s in m/s? | length of boat = 3.62m | null |
simulation_0012 | simulation | V2MC | 24 | DS | What is the total width of the house from eave to eave in meters? | speed of the bird =6m/s | null |
simulation_0012 | simulation | V2MC | 24 | DS | What is the body length of the bird in meters? | speed of the bird =6m/s | null |
simulation_0012 | simulation | V2MC | 24 | DS | How wide is the bird's wingspan when it spreads its wings in meters? | speed of the bird =6m/s | null |
simulation_0020 | simulation | A2MC | 30 | DS | What is the height of the person in meters? | gravity acc = 9.8m/s^2 | null |
simulation_0020 | simulation | A2MC | 30 | DD | What is the velocity of the ball at 0.0s in m/s? | gravity acc = 9.8m/s^2 | null |
simulation_0020 | simulation | A2MC | 30 | DS | What is the diameter of the ball in meters? | gravity acc = 9.8m/s^2 | null |
simulation_0041 | simulation | S2MC | 24 | SS | What is the length of the boat in meters? | height of the person = 1.75m | null |
simulation_0041 | simulation | S2MC | 24 | SS | What is the width of the boat in meters? | height of the person = 1.75m | null |
simulation_0041 | simulation | S2MC | 24 | SD | What is the speed of the boat at 1.0s in m/s? | height of the person = 1.75m | null |
simulation_0041 | simulation | S2MC | 24 | SD | What is the speed of the person at 1.0s in m/s? | height of the person = 1.75m | null |
simulation_0047 | simulation | V2MC | 33 | DS | What is the width of the telephone booth in meters? | speed of the walking person = 1.236m/s | null |
simulation_0047 | simulation | V2MC | 33 | DS | What is the length of the planter area between the two staircases in meters? | speed of the walking person = 1.236m/s | null |
simulation_0047 | simulation | V2MC | 33 | DS | What is the length of the moving bicycle in meters? | speed of the walking person = 1.236m/s | null |
simulation_0047 | simulation | V2MC | 33 | DD | What is the speed of the moving bicycle at 1.0s in m/s? | speed of the walking person = 1.236m/s | null |
simulation_0053 | simulation | A2MC | 30 | DD | What is the speed of the green car at 2.0s in m/s? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0053 | simulation | A2MC | 30 | DS | What is the length of the orange car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0053 | simulation | A2MC | 30 | DS | What is the length of the green car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0053 | simulation | A2MC | 30 | DS | What is the distance between the two black lamps in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0053 | simulation | A2MC | 30 | DD | What is the walking speed of the person at 2.0s in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DD | What is the speed of the green car at 2.0s in m/s? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DS | What is the length of the orange car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DS | What is the length of the green car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DS | What is the distance between the two black lamps in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DS | What is the width of the orange car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0054 | simulation | A2MC | 30 | DS | What is the width of the green car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0057 | simulation | A2MC | 30 | DS | What is the length of the orange car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0057 | simulation | A2MC | 30 | DS | What is the distance between the two black lamps in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0057 | simulation | A2MC | 30 | DS | What is the width of the orange car in meters? | acceleration of the orange car = -2.86m/s^2 | null |
simulation_0068 | simulation | A2MS | 24 | DD | What is the speed of the yellow car at 2.5s in m/s? | acceleration of the white car = 4m/s^2 | null |
simulation_0068 | simulation | A2MS | 24 | DS | What is the length of the turning yellow car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0068 | simulation | A2MS | 24 | DS | What is the width of the turning yellow car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0068 | simulation | A2MS | 24 | DS | What is the width of the white car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0068 | simulation | A2MS | 24 | DS | What is the length of the white car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0069 | simulation | A2MS | 24 | DD | What is the speed of the walking pedestrian at 1.0s in m/s? | acceleration of the white car = 4m/s^2 | null |
simulation_0069 | simulation | A2MS | 24 | DS | What is the width of the white car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0069 | simulation | A2MS | 24 | DS | What is the length of the white car in meters? | acceleration of the white car = 4m/s^2 | null |
simulation_0070 | simulation | S2MS | 24 | SD | What is the speed of the turing yellow car at 2.5s in m/s? | length of the yellow car = 5.44m | null |
simulation_0070 | simulation | S2MS | 24 | SS | What is the width of the turning yellow car in meters? | length of the yellow car = 5.44m | null |
simulation_0070 | simulation | S2MS | 24 | SD | What is the speed of the bicycle at 1.0s in m/s? | length of the yellow car = 5.44m | null |
simulation_0071 | simulation | S2MS | 24 | SD | What is the speed of the turing yellow car at 2.5s in m/s? | length of the yellow car = 5.44m | null |
simulation_0071 | simulation | S2MS | 24 | SS | What is the width of the turning yellow car in meters? | length of the yellow car = 5.44m | null |
simulation_0071 | simulation | S2MS | 24 | SD | What is the speed of the walking pedestrian at 1.0s in m/s? | length of the yellow car = 5.44m | null |
simulation_0072 | simulation | V2MS | 24 | DD | What is the speed of the walking pedestrian at 1.0s in m/s? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DS | What is the width of the white car in meters? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DS | What is the length of the white car in meters? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DS | What is the distance between the white car and the bicycle at 1.0s in meters? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DS | What is the distance between the white car and the bicycle at 2.0s in meters? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DD | What is the acceleration of the white car at 1.0s in m/s^2? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DS | What is the side length of the square earthen platform in meters? | speed of the bicycle = 5.33m/s | null |
simulation_0073 | simulation | V2MS | 24 | DD | What is the speed of the white car at 1.0s in m/s? | speed of the bicycle = 5.33m/s | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the length of the turning yellow car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SD | What is the speed of the walking pedestrian at 1.0s in m/s? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SD | What is the speed of the turing yellow car at 2.5s in m/s? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the width of the turning yellow car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the width of the purple car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the length of the purple car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SD | What is the speed of the bicycle at 1.0s in m/s? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the side length of the square earthen platform in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the width of the white car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SD | What is the acceleration of the white car at 1.0s in m/s^2? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the width of the green car in meters? | length of the white car = 6m | null |
simulation_0075 | simulation | S2MS | 24 | SS | What is the length of the green car in meters? | length of the white car = 6m | null |
simulation_0076 | simulation | V2MX | 24 | DD | What is the speed of the person in the white shirt at 1.0s in m/s? | speed of the person in the black shirt = 1m/s | null |
simulation_0076 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 1.0s in meters? | speed of the person in the black shirt = 1m/s | null |
simulation_0076 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 2.0s in meters? | speed of the person in the black shirt = 1m/s | null |
simulation_0077 | simulation | V2MX | 24 | DD | What is the speed of the person in the white shirt at 1.0s in m/s? | speed of the person in the black shirt = 1m/s | null |
simulation_0077 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 1.0s in meters? | speed of the person in the black shirt = 1m/s | null |
simulation_0077 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 2.0s in meters? | speed of the person in the black shirt = 1m/s | null |
simulation_0078 | simulation | V2MX | 24 | DD | What is the speed of the person in the black shirt at 1.0s in m/s? | speed of the person in the white shirt = 1.3m/s | null |
simulation_0078 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 1.0s in meters? | speed of the person in the white shirt = 1.3m/s | null |
simulation_0078 | simulation | V2MX | 24 | DS | What is the distance between the person in the black shirt and the person in the white shirt at 2.0s in meters? | speed of the person in the white shirt = 1.3m/s | null |
simulation_0079 | simulation | S2MX | 24 | SD | What is the speed of the walking person at 1.0s in m/s? | length of the bike = 1.7m | null |
simulation_0079 | simulation | S2MX | 24 | SD | What is the speed of the bike at 1.0s in m/s? | length of the bike = 1.7m | null |
simulation_0079 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 1.0s in meters? | length of the bike = 1.7m | null |
simulation_0079 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 0.5s in meters? | length of the bike = 1.7m | null |
simulation_0080 | simulation | S2MX | 24 | SD | What is the speed of the walking person at 0.5s in m/s? | length of the bike = 1.7m | null |
simulation_0080 | simulation | S2MX | 24 | SD | What is the speed of the bike at 0.5s in m/s? | length of the bike = 1.7m | null |
simulation_0080 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 0.5 s in meters? | length of the bike = 1.7m | null |
simulation_0080 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 1.0s in meters? | length of the bike = 1.7m | null |
simulation_0081 | simulation | S2MX | 24 | SD | What is the speed of the walking person at 0.5s in m/s? | length of the bike = 1.7m | null |
simulation_0081 | simulation | S2MX | 24 | SD | What is the speed of the bike at 0.5s in m/s? | length of the bike = 1.7m | null |
simulation_0081 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 0.5 s in meters? | length of the bike = 1.7m | null |
simulation_0081 | simulation | S2MX | 24 | SS | What is the distance between the walking person and the bike at 1.0 s in meters? | length of the bike = 1.7m | null |
simulation_0082 | simulation | S2MX | 24 | SS | What is the width of the yellow car in meters? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SS | What is the length of the black and white car in meters? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SS | What is the width of the black and white car in meters? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SS | What is the distance between the yellow car and the black and white car at 1.0s in meters? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SS | What is the distance between the yellow car and the black and white car at 2.0s in meters? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SD | What is the speed of the yellow car at 1.0s in m/s? | length of the yellow car = 5.67m | null |
simulation_0082 | simulation | S2MX | 24 | SD | What is the speed of the black and white car at 1.0s in m/s? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SS | What is the width of the yellow car in meters? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SS | What is the length of the black and white car in meters? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SS | What is the width of the black and white car in meters? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SS | What is the distance between the yellow car and the black and white car at 1.0s in meters? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SS | What is the distance between the yellow car and the black and white car at 2.0s in meters? | length of the yellow car = 5.67m | null |
simulation_0083 | simulation | S2MX | 24 | SD | What is the speed of the yellow car at 1.0s in m/s? | length of the yellow car = 5.67m | null |
QuantiPhy
Dataset Summary
QuantiPhy is a benchmark for evaluating whether vision–language models (VLMs) can perform quantitative physical inference from visual evidence, rather than producing plausible but ungrounded numerical guesses.
This repository contains the official test set of the QuantiPhy benchmark, consisting of 3,373 video–question (QA) pairs across 556 videos. Ground-truth answers are withheld to ensure fair evaluation.
Each instance requires a model to output a single continuous numerical value (e.g., object size, velocity, or acceleration) in real-world units, given a short video and a natural-language question.
Looking for the validation set?
A 159-sample validation split with ground-truth answers is available at PaulineLi/QuantiPhy-validation for model development, prompt tuning, and ablation studies.
Supported Tasks
- Video-based numerical regression
- Quantitative visual reasoning
- Vision–language model evaluation
Tasks cover three core kinematic properties:
- Size
- Velocity
- Acceleration
All questions are open-ended and require predicting a real-valued scalar.
Dataset Structure
Each instance is represented as a structured video–text record with the following fields:
| Field | Description |
|---|---|
video_id |
Unique identifier for the video (maps to <video_id>.mp4 in the video folders) |
video_source |
Data source (simulation, lab, internet, or segmentation) |
video_type |
Four-character code encoding task configuration (see below) |
fps |
Frame rate of the video |
inference_type |
Prior/target configuration: SS, SD, DS, or DD |
question |
Natural-language question with explicit physical units |
prior |
Physical prior provided in world units (e.g., object size, velocity, or acceleration) |
depth_info |
Depth/distance information for 3D configurations (null for 2D tasks) |
Videos are short (typically 2–3 seconds) and recorded with a static camera to ensure well-defined kinematic inference.
Video Type Code
Each video_type is a 4-character code [P][D][O][B]:
| Position | Meaning | Values |
|---|---|---|
| P — Physical prior | S = Size, V = Velocity, A = Acceleration | |
| D — Dimensionality | 2 = 2D (planar), 3 = 3D (with depth) | |
| O — Object setting | S = Single-object, M = Multi-object | |
| B — Background | X = Plain, S = Simple, C = Complex |
Inference Type
| Code | Prior | Target | Description |
|---|---|---|---|
SS |
Static | Static | Infer a static quantity from a static prior |
SD |
Static | Dynamic | Infer a dynamic quantity from a static prior |
DS |
Dynamic | Static | Infer a static quantity from a dynamic prior |
DD |
Dynamic | Dynamic | Infer a dynamic quantity from a dynamic prior |
Task Design Overview
Each instance provides the model with:
- a short video depicting object motion, and
- one physical prior in world units (object size, velocity at a given timestamp, or acceleration at a given timestamp).
The model is then asked to infer a target kinematic quantity—possibly for a different object—expressed in real-world units.
Tasks vary along four axes:
- Physical prior: Size (S), Velocity (V), Acceleration (A)
- Dimensionality: 2D (planar motion) or 3D (with depth variation)
- Object setting: Single-object (S) or multi-object (M)
- Background complexity: Plain (X), Simple (S), Complex (C)
Dataset Statistics
| Count | |
|---|---|
| QA pairs | 3,373 |
| Unique videos | 556 |
| Video types | 37 (18 × 2D + 19 × 3D) |
By source:
| Source | QA pairs |
|---|---|
| Simulation | 1,633 |
| Lab | 811 |
| Internet | 547 |
| Segmentation | 382 |
By inference type:
| Type | QA pairs |
|---|---|
| DS (Dynamic → Static) | 1,689 |
| SS (Static → Static) | 649 |
| SD (Static → Dynamic) | 585 |
| DD (Dynamic → Dynamic) | 450 |
Videos
Videos are provided in two resolutions:
quantiphy_fullset_videos/— original resolutionquantiphy_fullset_videos_480p/— 480p (for faster download and lower-resolution evaluation)
Each video filename corresponds to the video_id field in the dataset (e.g., simulation_0007.mp4).
Usage
from datasets import load_dataset
ds = load_dataset("PaulineLi/QuantiPhy", split="test")
print(ds[0])
# {'video_id': 'simulation_0007', 'video_source': 'simulation', ...}
For the validation set with ground-truth answers:
ds_val = load_dataset("PaulineLi/QuantiPhy-validation", split="validation")
Data Sources and Quality Control
- Simulation: Blender-rendered scenes with precise physical ground truth.
- Laboratory capture: Real-world recordings using calibrated depth and multi-view setups.
- Internet / author-recorded videos: Carefully curated monocular videos meeting strict physical constraints.
- Segmentation: Videos with segmented objects for controlled evaluation.
All videos undergo manual review to remove:
- excessive motion blur,
- severe occlusion,
- untrackable motion,
- personally identifiable information (PII).
License
The annotations and metadata in this repository are released under the
Creative Commons Attribution 4.0 (CC BY 4.0) license.
Videos originate from simulated environments, laboratory recordings, and publicly available sources.
Each video remains subject to its original license and terms of use.
This release is intended for research and evaluation purposes.
Authors
Puyin Li*, Tiange Xiang*, Ella Mao*,
Shirley Wei, Xinye Chen, Adnan Masood,
Li Fei-Fei†, Ehsan Adeli†
* Equal contribution.
Citation
If you use QuantiPhy in your work, please cite:
@article{li2025quantiphy,
title = {QuantiPhy: A Quantitative Benchmark Evaluating Physical Reasoning Abilities of Vision-Language Models},
author = {Li, Puyin and Xiang, Tiange and Mao, Ella and Wei, Shirley and Chen, Xinye and Masood, Adnan and Li, Fei-Fei and Adeli, Ehsan},
journal = {arXiv preprint arXiv:2512.19526},
year = {2025}
}
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