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Paper · arXiv

TILT: Target-induced loss tilting under covariate shift

We introduce and analyze Target-Induced Loss Tilting (TILT) for unsupervised domain adaptation under covariate shift. It is based on a novel objective function that decomposes the source predictor as $f+b$, fits $f+b$ on labeled source data while simultaneously penalizing the auxiliary component $b$ on unlabeled target inputs. The resulting fit $f$ is deployed as the final target predictor. At the population level, we show that this target-side penalty implicitly induces relative importance weighting at the population level, but in terms of an estimand $b^*_f$ that is self-localized to the current error, and remains uniformly bounded for any source-target pair (even those with disjoint su...

AuthorsKakei Yamamoto, Martin J. Wainwright
Primary categorycs.LG
Published14 May 2026
Last updated at source14 May 2026
cs.LGstat.ML
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