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Uncertainty Herding: One Active Learning Method for All Label Budgets
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Proposes Uncertainty Herding, a greedy maximization of an uncertainty-weighted generalized coverage objective with temperature-scaling and radius adaptation, to make active learning work across both low and high label budgets.
Problem
Active learning methods either excel at high label budgets (uncertainty-based) or low budgets (representation-based), and existing budget-switching methods are unreliable, so a single method is needed that works across label budgets.
Approach
Introduce uncertainty coverage, which weights generalized (kernel) coverage by per-point uncertainty, and greedily maximize its estimate (Uncertainty Herding). Parameter adaptation makes temperature grow with few labels (near-constant uncertainty, so it reduces to MaxHerding) and shrinks the kernel radius as labels grow (so it reduces to uncertainty sampling).
Key results
- Averaged over budget regimes, UHerding gains over Random are positive in every regime (e.g., low-budget CIFAR-10 +5.5, CIFAR-100 +5.5; high-budget CIFAR-10 +3.0), exceeding every competitor in the summary table.
- On DomainNet with DeiT Base, UHerding beats MaxHerding by 1.5-2% even at low budgets and beats ALFA-Mix by up to 13% at low budgets.
- Ablation on CIFAR-10 shows temperature scaling and radius adaptation both help, and together they outperform both MaxHerding and Margin across all budget regimes.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use UHerding instead of MaxHerding | active learning · CIFAR-10, CIFAR-100, TinyImageNet, DomainNet, and ImageNet; low and middle budgets | ΔAcc over Random | Helped |
| Use UHerding instead of Margin | active learning · low-budget tasks | accuracy | Helped |
| Use UHerding instead of representation-based methods | active learning · high-budget tasks | accuracy | Helped |
| Use temperature scaling for the uncertainty function (ablation) | UHerding · CIFAR-10, all budget regimes | ΔAcc | Helped |
| Adapt the coverage radius (ablation) | UHerding · CIFAR-10, high-budget regime | ΔAcc | Helped |
| Use radius adaptation without temperature scaling (ablation) | UHerding · CIFAR-10, across budget regimes | ΔAcc | Mixed |
| Combine temperature scaling and radius adaptation (ablation) | UHerding · CIFAR-10, all budget regimes | ΔAcc | Helped |
| Use fixed parameters instead of parameter adaptation (ablation) | UHerding · low- and mid-budget regimes | accuracy | Hurt |
| Use fixed parameters instead of parameter adaptation (ablation) | UHerding · high-budget regime | accuracy | Hurt |
| Replace k-means++ with MaxHerding (ablation) | BADGE · CIFAR-100 | accuracy | Helped |
| Add parameter adaptation (ablation) | BADGE-derived method · CIFAR-100 | accuracy | Helped |
| Change the uncertainty choice to Margin (ablation) | BADGE-derived method · CIFAR-100 | accuracy | Helped |
Surprising findings
- Choice of uncertainty measure (Margin, Entropy, Confidence) has little impact on UHerding performance.
- ActiveFT consistently underperforms the other methods, possibly because it is designed for single-iteration selection.
Limitations
- Budget regimes are manually categorized as low, mid, or high for each dataset rather than determined automatically.
- Parameter adaptation relies on heuristics (min labeled-pair distance for radius, ECE-based temperature selection) without theoretical justification for their optimality.
- Theoretical guarantees rely on approximate greedy optimization with a (1-1/e) factor and an estimation error term that is not tight for the experimental settings.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 TinyImageNet DomainNet ImageNet
Benchmarks: CIFAR-10 CIFAR-100 TinyImageNet DomainNet ImageNet
Metrics: accuracy improvement over Random selection (mean delta Acc a
Baselines: Random Entropy Margin Confidence BADGE ALFA-Mix Weighted k-means ActiveFT Typiclust Coreset MaxHerding
Builds on: MaxHerding generalized coverage BADGE ALFA-Mix ActiveFT
Closest papers by meaning
- Uncertainty for Active Learning on Graphs (ICML 2024 · similarity 0.88)
- Learning from Noisy Labels via Conditional Distributionally Robust Optimization (NeurIPS 2024 · similarity 0.87)
- Adaptive Labeling for Efficient Out-of-distribution Model Evaluation (NeurIPS 2024 · similarity 0.86)
- Robust Sampling for Active Statistical Inference (NeurIPS 2025 · similarity 0.86)
- Performative Prediction with Selective Labels (NeurIPS 2026 · similarity 0.86)
- Nearly Optimal Sample Complexity for Learning with Label Proportions (ICML 2025 · similarity 0.86)
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