From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift

Fuente: arXiv
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Autori principali: Gabetni, Firas, Henry, Alexandre Rocchi, Belkhir, Nacim, Liu, Ziyi, Franchi, Gianni
Natura: Preprint
Pubblicazione: 2026
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author Gabetni, Firas
Henry, Alexandre Rocchi
Belkhir, Nacim
Liu, Ziyi
Franchi, Gianni
author_facet Gabetni, Firas
Henry, Alexandre Rocchi
Belkhir, Nacim
Liu, Ziyi
Franchi, Gianni
contents Detecting covariate shift is critical for building reliable vision systems. While most prior work focuses on improving robustness to shift, explicitly detecting covariate shift remains underexplored. Existing approaches typically rely on fully supervised training, requiring labeled examples from both original and shifted distributions, which is often impractical. In this paper, we show that covariate shift detection can be effectively addressed with weaker supervision using Positive Unlabeled (PU) learning. However, under covariate shift, in distribution and shifted data overlap significantly, making classical PU methods unstable and sensitive to noise. To overcome this challenge, we introduce Spectral PU Neighborhood Annotation (SPUNA), a geometry aware framework that progressively discovers shifted data by leveraging the local manifold structure of visual features. Extensive experiments show that SPUNA achieves state of the art performance in PU settings and remarkably matches the performances of fully supervised methods. Moreover, our approach transfers robustly across different types of shifts, demonstrating strong generalization capabilities.
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id arxiv_https___arxiv_org_abs_2605_31187
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift
Gabetni, Firas
Henry, Alexandre Rocchi
Belkhir, Nacim
Liu, Ziyi
Franchi, Gianni
Computer Vision and Pattern Recognition
Machine Learning
Detecting covariate shift is critical for building reliable vision systems. While most prior work focuses on improving robustness to shift, explicitly detecting covariate shift remains underexplored. Existing approaches typically rely on fully supervised training, requiring labeled examples from both original and shifted distributions, which is often impractical. In this paper, we show that covariate shift detection can be effectively addressed with weaker supervision using Positive Unlabeled (PU) learning. However, under covariate shift, in distribution and shifted data overlap significantly, making classical PU methods unstable and sensitive to noise. To overcome this challenge, we introduce Spectral PU Neighborhood Annotation (SPUNA), a geometry aware framework that progressively discovers shifted data by leveraging the local manifold structure of visual features. Extensive experiments show that SPUNA achieves state of the art performance in PU settings and remarkably matches the performances of fully supervised methods. Moreover, our approach transfers robustly across different types of shifts, demonstrating strong generalization capabilities.
title From Local Geometry to Global Pseudo Labeling for Robust Positive Unlabeled Learning under Covariate Shift
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2605.31187