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Paper · arXiv

Mind the Residual Gap: Probabilistic Downscaling under Real-World Bias

Probabilistic downscaling models the conditional distribution of high-resolution fields given coarse inputs and is a core challenge in atmospheric science, climate modeling, and other multiscale physical systems. A widely used paradigm decomposes the problem into a deterministic mean predictor followed by a stochastic residual generator. While effective in idealized settings, this mean-residual approach frequently produces biased and underdispersive ensembles in real-world applications. We identify a fundamental source of this failure: residual target misspecification, where the residual distribution induced during training systematically differs from the correction distribution required ...

AuthorsYujin Kim, Nidhi Soma, Sarah Dean
Primary categorycs.LG
Published29 June 2026
Last updated at source27 September 2026
cs.LGcs.CE
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