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Paper · arXiv

Distributed Lag Neural Additive Models

We introduce Distributed Lag Neural Additive Models (DLNAMs), neural-additive analogues of Distributed Lag Non-linear Models (DLNMs) for learning nonlinear effects distributed over lags. DLNAMs replace a prespecified spline cross-basis with neural components that learn exposure--lag response surfaces, avoiding choices of basis family, dimension, and knot placement while preserving additive interpretability and familiar distributed-lag summaries. Exp-centered input layers, smooth activations, and learned subnetwork mixtures produce smooth, locally adaptive representations; pointwise uncertainty combines a conditional last-layer Laplace approximation with between-member ensemble variation. ...

AuthorsCalle Helmersson, Shivang Pandey, Leonardo Olivetti et al.
Primary categorystat.ML
Published7 September 2026
Last updated at source7 September 2026
stat.MLcs.AIcs.LGstat.APstat.ME
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