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A Mechanism-Driven Theory of Phase Transitions in Active Learning

This paper proposes a framework reinterpreting active learning budget regimes as shifts in the dominant generalization mechanism. By reinterpreting PAC-style risk components as dynamic interacting terms, it proves dominance shifts are structurally unavoidable, identifying three phases: data-driven, transition, and model-driven. Experiments show AL efficiency depends on alignment between strategy inductive bias and the active bottleneck, and self-supervised representation shifts transitions earlier, highlighting representation quality's role. The work provides a unified framework for transition-aware AL algorithms.

SourcearXiv Computer VisionAuthor: Julia Machnio, Mads Nielsen, Mostafa Mehdipour Ghazi

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[Submitted on 30 Jun 2026]

Title:A Mechanism-Driven Theory of Phase Transitions in Active Learning

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Abstract:Active learning (AL) performance is known to be budget-dependent, yet regimes are typically defined by heuristic label counts that fail to generalize across datasets or architectures. We characterize AL dynamics by reframing budget regimes as shifts in the dominant generalization mechanism. By reinterpreting PAC-style risk components as dynamic interacting terms, we prove that dominance shifts are structurally unavoidable, creating a moving bottleneck for generalization. We operationalize this using measurable proxies and a segmented regression procedure to identify a tripartite taxonomy: data-driven, transition, and model-driven phases. Our framework explains the long-standing observation that representativeness, coverage, and uncertainty strategies excel at different stages. Experiments across natural and medical imaging show that AL efficiency depends on the alignment between the strategy's inductive bias and the active bottleneck. Moreover, self-supervised representation shift transitions earlier along the labeling trajectory, highlighting the role of representation quality in shaping AL dynamics. Overall, this work provides a unified framework for the next generation of transition-aware AL algorithms.

Comments: Accepted at ECCV 2026

Subjects:

Computer Vision and Pattern Recognition (cs.CV); Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

Cite as: arXiv:2607.00144 [cs.CV]

(or arXiv:2607.00144v1 [cs.CV] for this version)

https://doi.org/10.48550/arXiv.2607.00144

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Mostafa Mehdipour Ghazi [view email] [v1] Tue, 30 Jun 2026 20:20:33 UTC (35,210 KB)

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