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A High-Dimensional Statistical Method for Optimizing Transfer Quantities in Multi-Source Transfer Learning
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Proposes OTQMS, a K-L divergence based high-dimensional statistical framework that picks the optimal number of source samples per source task for joint training, and a dynamic resampling algorithm that re-selects source data each epoch.
Problem
Multi-source transfer learning typically uses all available source samples, which costs training efficiency and can cause negative transfer via bias from source-target discrepancy; the optimal transfer quantity per source is unknown.
Approach
Measure generalization error as the expected K-L divergence between target distribution and the MLE-learned distribution, derive its asymptotic form as a variance term plus a bias term depending on the total transfer quantity and a Fisher-information-weighted parameter distance, minimize it over total quantity and source proportions, and use pretrained source models as parameter proxies with dynam
Key results
- On DomainNet (10-shot, ViT-S), OTQMS averages 55.8% vs 54.3% for AllSources ∪ Target, a 1.5-point gain.
- On Office-Home, OTQMS averages 78.2% vs 77.2% for AllSources ∪ Target (1.0-point gain).
- OTQMS reduces average training time by 35.19% and average sample usage by 47.85% on DomainNet relative to AllSources ∪ Target.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Select a subset of source samples using optimized transfer quantities instead of using all source samples | OTQMS with ViT-S · DomainNet 10-shot | average accuracy: 1.5% | Helped |
| Select a subset of source samples using optimized transfer quantities instead of using all source samples | OTQMS with ViT-S · Office-Home 10-shot | average accuracy: 1.0% | Helped |
| Select optimized quantities of source samples instead of using all source samples | OTQMS · DomainNet | average training time: 35.19% | Helped |
| Select optimized quantities of source samples instead of using all source samples | OTQMS · DomainNet | average sample usage: 47.85% | Helped |
| Replace dynamic transfer-quantity updates with static under-fitted transfer quantities (ablation) | OTQMS · Office-Home 10-shot | accuracy: 78.2 -> 77.2 | Hurt |
| Replace dynamic updates with one-time transfer-quantity computation using exact fitting (ablation) | OTQMS · Office-Home 10-shot | accuracy: 78.2 -> 68.7 | Hurt |
| Replace dynamic transfer-quantity updates with static over-fitted transfer quantities (ablation) | OTQMS · Office-Home 10-shot | accuracy: 78.2 -> 71.5 | Hurt |
Surprising findings
- Using all source samples can hurt: static transfer quantity over-fitting (Static-Over) yields 71.5% vs 77.2% on Office-Home.
- Unsupervised methods using all target data (MSFDA, M3SDA) underperform few-shot supervised methods with far fewer labeled samples.
Limitations
- Theory relies on asymptotic approximations and assumptions such as close parameters (|theta0 - theta1| = O(1/sqrt(N0))) and asymptotically comparable sample sizes.
- Uses pretrained source parameters as proxies for true source parameters and an empirical Fisher estimate, and reports no error bars.
- Evaluated only on image classification benchmarks with few-shot targets.
Experimental setup
Datasets: DomainNet Office-Home Digits
Benchmarks: DomainNet Office-Home
Metrics: accuracy training time sample usage
Baselines: MSFDA DATE M3SDA H-ensemble MADA MCW WADN Target-Only Single-Source-Avg Single-Source-Best AllSources ∪ Target
Builds on: Asymptotic normality of MLE Sanov's theorem empirical Fisher MADA H-ensemble
Closest papers by meaning
- A Mathematical Framework for Quantifying Transferability in Multi-source Transfer Learning (NeurIPS 2021 · similarity 0.90)
- H-ensemble: An Information Theoretic Approach to Reliable Few-Shot Multi-Source-Free Transfer (AAAI 2024 · similarity 0.88)
- Mixed-Sample SGD: an End-to-end Analysis of Supervised Transfer Learning (NeurIPS 2025 · similarity 0.88)
- Learning New Tricks From Old Dogs: Multi-Source Transfer Learning From Pre-Trained Networks (NeurIPS 2019 · similarity 0.88)
- Provable Sample-Efficient Transfer Learning Conditional Diffusion Models via Representation Learning (NeurIPS 2025 · similarity 0.86)
- Transfer Learning of Linear Regression with Multiple Pretrained Models: Benefiting from More Pretrained Models via Overparameterization Debiasing (NeurIPS 2026 · similarity 0.86)
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