arXiv — Machine Learning · · 3 min read

TILT: Target-induced loss tilting under covariate shift

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Computer Science > Machine Learning

arXiv:2605.14280 (cs)
[Submitted on 14 May 2026]

Title:TILT: Target-induced loss tilting under covariate shift

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Abstract: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 supports). We prove a general finite-sample oracle inequality on the excess risk, and use it to give an end-to-end guarantee for training with sparse ReLU networks. Experiments on controlled regression problems and shifted CIFAR-100 distillation show that TILT improves target-domain performance over source-only training, exact importance weighting, and relative density-ratio baselines, with a stable dependence on the regularization parameter.
Comments: 32 pages, 17 figures. Submitted to NeurIPS 2026
Subjects: Machine Learning (cs.LG); Machine Learning (stat.ML)
MSC classes: 62G08, 62G20, 68T07
Cite as: arXiv:2605.14280 [cs.LG]
  (or arXiv:2605.14280v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.14280
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Kakei Yamamoto [view email]
[v1] Thu, 14 May 2026 02:26:34 UTC (5,529 KB)
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