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Paper · arXiv

Identifying Dependent Components from Multi-domain Linear Mixtures

We study a linear mixing model with dependent latent components, assuming multiple data domains. Most existing models assume that the components are independent or at least uncorrelated, in line with independent component analysis (ICA). Some recent work allows for dependent components, but then makes specific assumptions such as parametric forms of dependencies, multi-view settings, or interventions, or does not recover the individual components. In contrast, we consider a multi-domain setting in which domains differ through domain-specific scalings of the components, while the distribution of the underlying latent components is the same across domains. This approach can model data colle...

AuthorsDanru Xu, Lauri Parkkonen, Sara Magliacane et al.
Primary categorycs.LG
Published20 October 2026
Last updated at source20 October 2026
cs.LGcs.AI
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