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Paper · arXiv

Concept Modulation Models: A Unified Framework for Identifiability and Extrapolation

Reliable generalization in conditional latent variable models requires understanding both identifiability and extrapolation: how observed variation across attributes determines latent structure, and how that structure determines distributions at unseen attributes. However, existing identifiability and extrapolation guarantees are largely model-specific, with separate analyses in nonlinear ICA, causal representation learning, perturbation modeling, and related conditional latent variable models. We introduce concept modulation models (CMMs), an attribute-indexed class of conditional generative models with structure $A\to Λ\to C\to X$, where attributes select modulators, modulators induce l...

AuthorsSoheun Yi, Yizhou Lu, Chandler Squires et al.
Primary categorycs.LG
Published16 June 2026
Last updated at source16 June 2026
cs.LGstat.ML
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