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DISCount: Counting in Large Image Collections with Detector-Based Importance Sampling

AAAI 2024 · Image generation › Autoregressive and latent generation · approach: Retrieval and matching with generative features · 5 citations (OpenAlex)

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Proposes DISCount, a detector-based importance sampling framework with human screening, multi-region k-DISCount estimators, control variates, and confidence intervals to count objects in large image collections with fewer labels.

Problem

Counting objects in massive fixed image collections when an imperfect detector cannot give accurate counts, so human screening effort must be allocated to produce unbiased, low-error count estimates for multiple overlapping regions.

Approach

Use detector outputs as an importance-sampling proposal over the whole domain, sample once and assign samples to many regions (post-stratification style), estimate unbiased (conditionally) counts by averaging human-verified/detector weight ratios, add control variates from calibrated detector or prior-year counts, and build asymptotic confidence intervals.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use detector-based importance sampling instead of covariate-based IS-CountCount estimation on bird and building tasks · Bird and building counting taskssamples needed to reach 20% error: ≈ 1.6× fewer samplesHelped
Use detector-based importance sampling instead of simple Monte CarloCount estimation on bird and building tasks · Bird and building counting taskssamples needed to reach 20% error: ≈ 3× fewer samplesHelped
Verify detector outputs instead of annotating images from scratchDISCount · Roosting birdslabeling effort at 20% error: 6× less effort than IS-Count; 9× less effort than MCHelped
Verify detector outputs instead of annotating images from scratchDISCount · Palu Tsunami damaged buildingslabeling effort at 20% error: 8× less effort than IS-Count; 12× less effort than MCHelped
Estimate multiple cumulative regions jointly rather than running DISCount separately (ablation)Bird counting · Cumulative quarterly countsestimation errorHelped
Estimate multiple quarterly regions jointly rather than running DISCount separately (ablation)Bird counting · Individual quarterly countsestimation errorMixed
Estimate multiple cumulative regions jointly rather than running DISCount separately (ablation)Building damage counting · Palu Tsunami cumulative regionsestimation errorHelped
Add calibrated detector counts as control variates (ablation)k-DISCount · Roosting birdsestimation errorHelped
Add calibrated detector counts as control variates (ablation)k-DISCount · Cumulative daily bird countsconfidence interval widthHelped
Estimate variance using all samples rather than only samples in each region (ablation)k-DISCount-cv · Cumulative daily bird countsconfidence interval coverage: up to ≈ 80% coverageHelped
Use isotonic calibration instead of DISCountBird-count estimation · Roosting birdsestimation errorHurt

Surprising findings

Limitations

Experimental setup

Datasets: xBD NEXRAD weather radar (Great Lakes screened detections)

Benchmarks: xBD Palu Tsunami region NEXRAD Great Lakes bird roost counts

Metrics: fractional count error confidence interval width confidence interval coverage labeling effort

Baselines: Simple Monte Carlo IS-Count Isotonic regression calibration Naive detector without screening

Builds on: IS-Count Neyman allocation active testing

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