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Paper · arXiv

Embedding interpretable $\ell_1$-regression into neural networks for uncovering temporal structure in cell imaging

While artificial neural networks excel in unsupervised learning of non-sparse structure, classical statistical regression techniques offer better interpretability, in particular when sparseness is enforced by $\ell_1$ regularization, enabling identification of which factors drive observed dynamics. We investigate how these two types of approaches can be optimally combined, exemplarily considering two-photon calcium imaging data where sparse autoregressive dynamics are to be extracted. We propose embedding a vector autoregressive (VAR) model as an interpretable regression technique into a convolutional autoencoder, which provides dimension reduction for tractable temporal modeling. A skip ...

AuthorsFabian Kabus, Maren Hackenberg, Julia Hindel et al.
Primary categorycs.LG
Published3 March 2026
Last updated at source8 March 2026
cs.LG
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