arXiv Machine Learning By Stephen Marcou, Mateo Espinosa Zarlenga, Sonia Laguna, Moritz Vandenhirtz, Julia E. Vogt, Mateja Jamnik

Residual Stochastic Concept Bottleneck Models

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Residual Stochastic Concept Bottleneck Models (Res‑SCBMs) extend concept‑based models by jointly modeling known concepts and residual variables using a multivariate Gaussian distribution. The learned covariance captures dependencies between concepts and residuals, enabling test‑time concept interventions to influence statistically dependent residuals through Gaussian conditioning. Experiments on concept‑incomplete benchmarks show that Res‑SCBMs outperform competing baselines while preserving effective concept interventions.

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