Functional Distribution Networks (FDN)

Omer Haq

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arXiv · 2510.17794

Functional Distribution Networks (FDN)

Omer Haq

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Abstract

Modern probabilistic regressors often remain overconfident under distribution shift. Functional Distribution Networks (FDN) place input-conditioned distributions over network weights, producing predictive mixtures whose dispersion adapts to the input; we train them with a Monte Carlo beta-ELBO objective. We pair FDN with an evaluation protocol that separates interpolation from extrapolation and emphasizes simple OOD sanity checks. On controlled 1D tasks and small/medium UCI-style regression benchmarks, FDN remains competitive in accuracy with strong Bayesian, ensemble, dropout, and hypernetwork baselines, while providing strongly input-dependent, shift-aware uncertainty and competitive calibration under matched parameter and update budgets.

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Omer Haq. 2025-10-20. Functional Distribution Networks (FDN). https://arxiv.org/abs/2510.17794

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