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Hoeffding Concept Bottleneck Models with Applications to Overhead Images

arXiv:2606.00082v1 Announce Type: new Abstract: Explainability of deep learning algorithms is critical for computer-vision applications with high-stake decisions. Concept bottleneck models (CBM) have recently shown promising performance to provide explainable and accurate predictions for classification problems, based on a bottleneck of high-level concepts. Existing CBM methods rely on a linear aggregation of the concept scores to compute predictions. However, a large number of concepts is often used in this linear approach, which undermines explainability and favors information leakage. In general, the underlying relation between concepts and output logits is not linear. Therefore, we introduce Hoeffding Concept Bottleneck Models (HCBM), which build on the Hoeffding functional decomposition of gradient-boosted trees to provide non-linear and sparse aggregations of concept scores, and generate compact predictions using prime implicants. HCBM are proved to be robust to interconcept leakage, and outperform standard linear CBM in practice, as shown in extensive experiments. Beyond classification, HCBM can be adapted to object detection, and we focus on a challenging case with overhead images to show the high performance of HCBM in these settings.

SourcearXiv Machine LearningAuthor: Cl\'ement B\'enard, Manon Arfib, Christophe Labreuche, Victor Qu\'etu

[2606.00082] Hoeffding Concept Bottleneck Models with Applications to Overhead Images

[Submitted on 22 May 2026]

Title:Hoeffding Concept Bottleneck Models with Applications to Overhead Images

View a PDF of the paper titled Hoeffding Concept Bottleneck Models with Applications to Overhead Images, by Cl\'ement B\'enard and 3 other authors

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Abstract:Explainability of deep learning algorithms is critical for computer-vision applications with high-stake decisions. Concept bottleneck models (CBM) have recently shown promising performance to provide explainable and accurate predictions for classification problems, based on a bottleneck of high-level concepts. Existing CBM methods rely on a linear aggregation of the concept scores to compute predictions. However, a large number of concepts is often used in this linear approach, which undermines explainability and favors information leakage. In general, the underlying relation between concepts and output logits is not linear. Therefore, we introduce Hoeffding Concept Bottleneck Models (HCBM), which build on the Hoeffding functional decomposition of gradient-boosted trees to provide non-linear and sparse aggregations of concept scores, and generate compact predictions using prime implicants. HCBM are proved to be robust to interconcept leakage, and outperform standard linear CBM in practice, as shown in extensive experiments. Beyond classification, HCBM can be adapted to object detection, and we focus on a challenging case with overhead images to show the high performance of HCBM in these settings.

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Machine Learning (stat.ML)

Cite as: arXiv:2606.00082 [cs.LG]

(or arXiv:2606.00082v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.00082

arXiv-issued DOI via DataCite

Submission history

From: Clement Benard [view email] [via CCSD proxy] [v1] Fri, 22 May 2026 14:00:30 UTC (3,125 KB)

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