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A High-Dimensional Statistical Method for Optimizing Transfer Quantities in Multi-Source Transfer Learning

NeurIPS 2025 · Label-efficient and robust learning › Domain adaptation and generalization · approach: Statistical transfer learning · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Select a subset of source samples using optimized transfer quantities instead of using all source samplesOTQMS with ViT-S · DomainNet 10-shotaverage accuracy: 1.5%Helped
Select a subset of source samples using optimized transfer quantities instead of using all source samplesOTQMS with ViT-S · Office-Home 10-shotaverage accuracy: 1.0%Helped
Select optimized quantities of source samples instead of using all source samplesOTQMS · DomainNetaverage training time: 35.19%Helped
Select optimized quantities of source samples instead of using all source samplesOTQMS · DomainNetaverage sample usage: 47.85%Helped
Replace dynamic transfer-quantity updates with static under-fitted transfer quantities (ablation)OTQMS · Office-Home 10-shotaccuracy: 78.2 -> 77.2Hurt
Replace dynamic updates with one-time transfer-quantity computation using exact fitting (ablation)OTQMS · Office-Home 10-shotaccuracy: 78.2 -> 68.7Hurt
Replace dynamic transfer-quantity updates with static over-fitted transfer quantities (ablation)OTQMS · Office-Home 10-shotaccuracy: 78.2 -> 71.5Hurt

Surprising findings

Limitations

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

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