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SQuID: Satellite Quantitative Intelligence Dataset
A comprehensive benchmark for evaluating quantitative spatial reasoning in Vision-Language Models using satellite imagery.
Dataset Overview
- 2000 questions testing spatial reasoning on satellite imagery
- 639 unique images across four datasets
- 1950 auto-labeled questions from segmentation masks (DeepGlobe, EarthVQA, Solar Panels)
- 50 human-annotated questions from NAIP imagery with consensus answers
- 1544 questions include human-agreement ranges for numeric answers
- 3 difficulty tiers: Basic (713), Spatial (610), Complex (677)
- 3 resolution levels: 0.3m, 0.5m, 1.0m GSD
Human Annotation & Agreement Methodology
Human Annotation Process
- 50 questions on NAIP 1.0m GSD imagery were annotated by humans
- 10 annotators per question resulting in 500 total annotations
- Answer aggregation:
- Numeric questions: Used MEDIAN of all responses for robustness
- Categorical questions (connected/fragmented): Used MAJORITY voting
- Binary questions: Converted yes/no to 1/0 and used majority
Human Agreement Quantification
From the 500 human annotations, we computed the Mean Median Absolute Deviation (MAD) for each question type:
- Percentage questions: MAD = ±1.74 percentage points
- Proximity questions: MAD = ±2.25 percentage points
- Count questions: Normalized MADc = 0.19 (proportional to count magnitude)
For count questions, we use a normalized MAD (MADc) that makes the acceptable range proportional to the count value:
MADc = median(|Xi - median(X)|) / median(X) = 0.19
Acceptable Range Calculation
These MAD values were applied to ALL numeric questions in the benchmark to define acceptable ranges:
import math
# For percentage questions (absolute deviation)
if question_type == 'percentage':
lower = max(0.0, answer - 1.74)
upper = min(100.0, answer + 1.74)
# For count questions (proportional deviation)
# range(C) = [C - max(1, C × MADc), C + max(1, C × MADc)]
elif question_type in ['count', 'building_proximity', 'building_flood_risk',
'building_fire_risk', 'connectivity']:
MADc = 0.19
dr = max(1, answer * MADc) # At least ±1 deviation
lower = max(0, math.floor(answer - dr))
upper = math.ceil(answer + dr)
# For proximity percentage questions (absolute deviation)
elif 'within' in question and 'm of' in question:
lower = max(0.0, answer - 2.25)
upper = min(100.0, answer + 2.25)
Example count ranges with MADc = 0.19:
- C=5 → range [4, 7]
- C=10 → range [8, 12]
- C=50 → range [40, 60]
- C=100 → range [81, 120]
Special cases:
- Zero values have no range (exact match required)
- Binary/fragmentation questions have no range (exact match)
- Ranges are capped at valid bounds (0-100 for percentages, ≥0 for counts)
Question Types
The benchmark includes 25 distinct question types organized into three tiers:
Tier 1: Basic Questions (713 questions)
- percentage: Coverage percentage of a land use class
- count: Number of separate regions or objects
- size: Area measurements of regions
- total_area: Total area covered by a class
- binary_comparison: Comparing quantities between two classes
- binary_presence: Checking if a class exists
- binary_threshold: Testing if values exceed thresholds
- binary_multiple: Checking for multiple instances
Tier 2: Spatial Questions (610 questions)
- proximity_percentage: Percentage of one class near another
- proximity_area: Area of one class near another
- binary_proximity: Presence of one class near another
- building_proximity: Number of buildings near other features
- building_flood_risk: Buildings at flood risk (near water)
- building_fire_risk: Buildings at fire risk (near forest)
- connectivity: Counting isolated patches by size
- fragmentation: Assessing if regions are connected or fragmented
- power_calculation: Calculating solar panel power output
Tier 3: Complex Questions (677 questions)
- complex_multi_condition: Areas meeting multiple spatial criteria
- complex_urban_flood_risk: Urban areas at flood risk (near water)
- complex_urban_fire_risk: Urban areas at fire risk (near forest)
- complex_agriculture_water_access: Agricultural land with irrigation potential
- complex_size_filter: Filtering by size thresholds
- complex_average: Average sizes of regions
Loading the Dataset
from datasets import load_dataset
# Load dataset
dataset = load_dataset("PeterAM4/SQuID")
# Access a sample
sample = dataset['train'][0]
image = sample['image'] # PIL Image
question = sample['question']
answer = sample['answer'] # String or numeric
type = sample['type']
# Convert answer based on type
if type in ['percentage', 'count', 'proximity_percentage', 'proximity_area',
'building_proximity', 'building_flood_risk', 'building_fire_risk',
'connectivity', 'size', 'total_area', 'power_calculation'] or 'complex' in type:
answer_value = float(answer)
elif 'binary' in type:
answer_value = int(answer) # 0 or 1
elif type == 'fragmentation':
answer_value = answer # "connected" or "fragmented"
Fields
- id: Question identifier (e.g., "SQuID_0001")
- image: Satellite image path
- question: Question text with GSD notation
- answer: Ground truth answer
- type: One of 25 question types
- tier: Difficulty level (1=Basic, 2=Spatial, 3=Complex)
- gsd: Ground sampling distance in meters
- acceptable_range: [lower, upper] bounds for numeric questions (when applicable)
Evaluation
For numeric questions, check if predictions fall within the acceptable range:
import math
def evaluate(prediction, sample):
if 'acceptable_range' in sample:
# Numeric question - check if within human agreement range
lower, upper = sample['acceptable_range']
return lower <= float(prediction) <= upper
else:
# Non-numeric question - exact match required
return str(prediction).lower() == str(sample['answer']).lower()
The acceptable ranges represent the natural variation in human perception for spatial measurements.
Dataset Distribution
By Tier
- Tier 1 (Basic): 713 questions (35.6%)
- Tier 2 (Spatial): 610 questions (30.5%)
- Tier 3 (Complex): 677 questions (33.9%)
Top Question Types
- complex_multi_condition: 473 questions (23.6%)
- count: 178 questions (8.9%)
- percentage: 176 questions (8.8%)
- binary_comparison: 175 questions (8.8%)
- binary_proximity: 142 questions (7.1%)
- region_percentage: 134 questions (6.7%)
- proximity_percentage: 115 questions (5.8%)
- fragmentation: 108 questions (5.4%)
- complex_agriculture_water_access: 105 questions (5.2%)
- proximity_area: 105 questions (5.2%)
By Source
- DeepGlobe (0.5m GSD): 549 questions, 172 images - Land use classification masks
- EarthVQA (0.3m GSD): 1304 questions, 416 images - Building detection and land cover masks
- Solar Panels (0.3m GSD): 97 questions, 37 images - Solar panel segmentation masks
- NAIP (1.0m GSD): 50 questions, 14 images - Human-annotated diverse scenes
Statistics Summary
- Zero-valued answers: 82 (4.1%)
- Questions with ranges: 1544 (77.2%)
- Average questions per image: 3.1
Notes
- Questions explicitly state minimum area thresholds (e.g., "ignore patches smaller than 0.125 hectares")
- Zero-valued answers indicate absence of features (intentionally included for robustness testing)
- The benchmark tests both presence and absence of spatial features to avoid positive-only bias
- Human agreement ranges allow for natural variation in spatial perception and counting
- All measurements use metric units based on the specified GSD (Ground Sampling Distance)
- Count ranges use proportional MADc (0.19) so larger counts have wider acceptable ranges
Citation
If you use this dataset, please cite:
@article{massih2025squid,
title={Preserving Pixel-Level Precision: SQuID Dataset and QVLM Architecture for Quantitative Geospatial Reasoning},
author={Peter A. Massih, Eric Cosatto},
journal={arXiv preprint arXiv:XXXX.XXXXX},
year=2025
}
Generated on 2026-07-10 14:39:57
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