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Paper

The conditional-mean barrier: From deterministic regression to conditional distribution learning

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AI summary

arXiv:2605. 28076v1 Announce Type: new Abstract: Many problems in computational science and engineering become one-to-many after coarse graining, partial observation, or inverse reconstruction: a resolved state may not determine a unique subgrid forcing, a structural descriptor may not determine a unique effective response, and a low-resolution observation may correspond to many plausible high-resolution fields.