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Theoretical Performance Guarantees for Partial Domain Adaptation via Partial Optimal Transport
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Derives generalization bounds for partial domain adaptation based on partial Wasserstein distance, yielding explicit source-loss weights, and proposes WARMPOT, a mini-batch PW-based PDA algorithm competitive with SOTA on Office-Home.
Problem
Partial domain adaptation (target label space is a subset of source label space) typically relies on heuristic source-sample weights and domain alignment terms lacking theoretical justification; negative transfer from outlier source classes degrades performance.
Approach
Generalization bounds on the target loss involving a partial Wasserstein distance between empirical source/target feature (or feature-label) distributions, where source weights arise constructively as marginals of the optimal partial transport plan; the resulting weighted, PW-regularized objective is minimized as WARMPOT.
Key results
- WARMPOT is competitive with recent PDA methods on Office-Home, achieving higher average accuracy than PWAN and similar to MPOT.
- Replacing ARPM's weights with WARMPOT weights (ARPM+our-weights) improves on the prior SOTA on Office-Home.
- On P->A, WARMPOT assigns only 6.04% of weight mass to outlier source samples although 58.41% of source samples are outliers.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace ARPM weights with WARMPOT weights | ARPM · Office-Home | test accuracy | Helped |
| Replace ARPM weights with WARMPOT weights | ARPM · ImageNet → Caltech | performance | Helped |
| Use WARMPOT weighting instead of MPOT weighting | PDA weighting schemes · Office-Home | performance | Helped |
| Use WARMPOT weighting instead of ARPM weighting | PDA weighting schemes · Office-Home | performance | Helped |
| Use WARMPOT weighting instead of BA³US weighting | PDA weighting schemes · Office-Home | performance | No clear effect |
| Use WARMPOT weighting instead of MPOT weighting | PDA weighting schemes · ImageNet → Caltech | performance | Helped |
| Use WARMPOT weighting instead of ARPM weighting | PDA weighting schemes · ImageNet → Caltech | performance | Helped |
| Use WARMPOT weighting instead of BA³US weighting | PDA weighting schemes · ImageNet → Caltech | performance | No clear effect |
| Vary β across (0,1] (ablation) | WARMPOT · ImageNet → Caltech | test accuracy: variations not exceeding 2% | No clear effect |
| Vary αmax within (0,0.1] (ablation) | WARMPOT · ImageNet → Caltech | test accuracy | No clear effect |
| Set αmax above 0.1 (ablation) | WARMPOT · ImageNet → Caltech | test accuracy | Hurt |
Surprising findings
- Weights from the PW-based bound match BA3US-level performance while being computed per mini-batch rather than every 500 iterations.
Limitations
- Exact minimization of the bounds is computationally prohibitive, so WARMPOT relies on approximations.
- Hyperparameters (alpha, beta, eta1, eta2) selected by parameter search; sensitivity to alpha above 0.1 degrades performance on ImageNet to Caltech.
- Bounds do not capture additional uncertainty/robustness losses used by ARPM.
Experimental setup
Datasets: Office-Home ImageNet Caltech-256
Benchmarks: Office-Home ImageNet to Caltech
Metrics: test accuracy
Baselines: MPOT BA3US ARPM PWAN
Builds on: MPOT PWAN ARPM BA3US Wasserstein distance domain adaptation bounds
Closest papers by meaning
- Prototypical Partial Optimal Transport for Universal Domain Adaptation (AAAI 2023 · similarity 0.92)
- Mapping conditional distributions for domain adaptation under generalized target shift (ICLR 2022 · similarity 0.91)
- Reliable Weighted Optimal Transport for Unsupervised Domain Adaptation (CVPR 2020 · similarity 0.89)
- Incorporating Importance Weighting in Optimal Transport Based Domain Alignment (ICML 2026 · similarity 0.89)
- Revisiting Source-Free Domain Adaptation: Insights into Representativeness, Generalization, and Variety (CVPR 2025 · similarity 0.88)
- Distinguish Then Exploit: Source-free Open Set Domain Adaptation via Weight Barcode Estimation and Sparse Label Assignment (CVPR 2025 · similarity 0.88)
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