New paper shows score matching can fail to ensure stable reverse-time diffusion sampling
A new arXiv paper demonstrates that small forward-marginal error from score matching does not guarantee numerical stability of the reverse-time diffusion sampler. The authors construct a score field with arbitrarily small forward-marginal L2 error whose Euler–Maruyama discretizations diverge in every positive moment, despite the continuous reverse process being well-behaved. This highlights a gap between score matching objectives and practical sampling stability.
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