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video_type
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int64
22
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4 values
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prior
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246 values
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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
End of preview. Expand in Data Studio

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:

  1. Physical prior: Size (S), Velocity (V), Acceleration (A)
  2. Dimensionality: 2D (planar motion) or 3D (with depth variation)
  3. Object setting: Single-object (S) or multi-object (M)
  4. 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 resolution
  • quantiphy_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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