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Theoretical Performance Guarantees for Partial Domain Adaptation via Partial Optimal Transport

ICML 2025 · Label-efficient and robust learning › Domain adaptation and generalization · approach: Source-free domain adaptation · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace ARPM weights with WARMPOT weightsARPM · Office-Hometest accuracyHelped
Replace ARPM weights with WARMPOT weightsARPM · ImageNet → CaltechperformanceHelped
Use WARMPOT weighting instead of MPOT weightingPDA weighting schemes · Office-HomeperformanceHelped
Use WARMPOT weighting instead of ARPM weightingPDA weighting schemes · Office-HomeperformanceHelped
Use WARMPOT weighting instead of BA³US weightingPDA weighting schemes · Office-HomeperformanceNo clear effect
Use WARMPOT weighting instead of MPOT weightingPDA weighting schemes · ImageNet → CaltechperformanceHelped
Use WARMPOT weighting instead of ARPM weightingPDA weighting schemes · ImageNet → CaltechperformanceHelped
Use WARMPOT weighting instead of BA³US weightingPDA weighting schemes · ImageNet → CaltechperformanceNo clear effect
Vary β across (0,1] (ablation)WARMPOT · ImageNet → Caltechtest accuracy: variations not exceeding 2%No clear effect
Vary αmax within (0,0.1] (ablation)WARMPOT · ImageNet → Caltechtest accuracyNo clear effect
Set αmax above 0.1 (ablation)WARMPOT · ImageNet → Caltechtest accuracyHurt

Surprising findings

Limitations

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

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