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This research introduces Paired Sampling for Domain Adaptation (PSDA), a novel stochastic variance reduction technique designed specifically for unsupervised domain adaptation tasks where traditional methods struggle with high gradient variance. By structuring training samples into quadruplets to minimize expected gradient noise, the method achieves improved accuracy on target domains without relying on quantum hardware or general-purpose AI applications beyond core machine learning optimization.
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Variance-reduced Domain Adaptation using Paired Sampling

arXiv2 min read

arXiv:2607.20367v1 Announce Type: new Abstract: Correlation alignment and the maximum mean discrepancy are two widely used distribution-matching frameworks for unsupervised domain adaptation (UDA). However, high variance in these losses has been shown to undermine their effectiveness in minibatch optimisation settings. Furthermore, the losses lack finite-sum structure, which renders them incompatible with classical stochastic variance reduction (SVR) methods. This paper proposes Paired Sampling for Domain Adaptation (PSDA), a novel SVR technique tailored to such objectives. PSDA pairs observations both within and across domains, to form quadruplets that are always sampled together during training. The pairings are designed to minimise expected gradient variance, and reduce to solving a set of linear assignment problems. Our simulations demonstrate reduced variance compared to related methods, and experiments on three domain shift datasets show improved target domain accuracy.

Abstract:Correlation alignment and the maximum mean discrepancy are two widely used distribution-matching frameworks for unsupervised domain adaptation (UDA). However, high variance in these losses has been shown to undermine their effectiveness in minibatch optimisation settings. Furthermore, the losses lack finite-sum structure, which renders them incompatible with classical stochastic variance reduction (SVR) methods. This paper proposes Paired Sampling for Domain Adaptation (PSDA), a novel SVR technique tailored to such objectives. PSDA pairs observations both within and across domains, to form quadruplets that are always sampled together during training. The pairings are designed to minimise expected gradient variance, and reduce to solving a set of linear assignment problems. Our simulations demonstrate reduced variance compared to related methods, and experiments on three domain shift datasets show improved target domain accuracy.

Machine Learning (cs.LG)

arXiv:2607.20367 [cs.LG]

(or arXiv:2607.20367v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.20367 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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