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This paper proposes a transfer learning method for covariate shift that reweights samples in a learned low-dimensional latent space rather than the raw input space, with theoretical excess-risk bounds and experiments on simulated and real datasets. For practitioners, the main question is whether the theory's assumptions, such as strictly sufficient representations and smoothness conditions, hold in their setting. The reported sensitivity to initialization and domain choice suggests the gains will depend heavily on implementation details.
Latent-Space Importance Weighting under Covariate Shift
arXiv:2610.15571v1 Announce Type: cross Abstract: In this work, we propose a transfer learning algorithm for covariate shift, integrating sample reweighting with representation learning. A key feature of our approach is the use of a lower-dimensional latent space for modeling, in contrast to conventional methods that operate directly in the high-dimensional ambient space. Our method estimates the density ratio of learned latent features for downstream weighted prediction. We establish explicit target-domain excess-risk rates with independent data folds for strictly sufficient learned representations with regular learned-space prediction scores and density ratios. We give dimension comparisons under stated smoothness conditions and a variance comparison for true weights and a fixed predictor. General finite-sample inequalities retain representation-quality errors. Experiments on simulated and real-world datasets demonstrate gains from combining learned representations and latent weighting, and reveal sensitivity to initialization and domain choice.
Abstract:In this work, we propose a transfer learning algorithm for covariate shift, integrating sample reweighting with representation learning. A key feature of our approach is the use of a lower-dimensional latent space for modeling, in contrast to conventional methods that operate directly in the high-dimensional ambient space. Our method estimates the density ratio of learned latent features for downstream weighted prediction. We establish explicit target-domain excess-risk rates with independent data folds for strictly sufficient learned representations with regular learned-space prediction scores and density ratios. We give dimension comparisons under stated smoothness conditions and a variance comparison for true weights and a fixed predictor. General finite-sample inequalities retain representation-quality errors. Experiments on simulated and real-world datasets demonstrate gains from combining learned representations and latent weighting, and reveal sensitivity to initialization and domain choice.
Machine Learning (stat.ML); Machine Learning (cs.LG)
arXiv:2610.15571 [stat.ML]
(or arXiv:2610.15571v1 [stat.ML] for this version)
https://doi.org/10.48550/arXiv.2610.15571 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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