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Paper · arXiv

Mode Collapse Is Cheap to Detect: A Ground-Truth-Free Pre-Flight Check for Neural Samplers

Neural samplers are trained against an unnormalised target $\tildeπ=e^{-E}$ with no samples from $π$, which leaves the practitioner with no way to tell whether an expensive training run has silently dropped part of the target. The diagnostics in common use are computed from the model's own draws and are therefore confined to the model's support: we exhibit a sampler whose self-normalised effective sample size is $0.99$ while it misses $87\%$ of the target mass. We argue that \emph{detecting} missing mass is a strictly easier problem than sampling it: detection needs one point per missed basin plus a local curvature estimate, whereas correction needs the sampler retrained. We turn this int...

AuthorsJian Xu
Primary categorycs.LG
Published20 August 2026
Last updated at source20 August 2026
cs.LG
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