We construct smooth, strictly log-concave counterexamples to the Gaussian completely monotone conjecture in every dimension. In one dimension, they form an explicit family $f_m$ whose signed $m$th entropy derivative at time zero is negative for every sufficiently large $m$; the inequality persists for all sufficiently...
Classifier-free guidance (CFG) is a standard technique for improving conditional generation in diffusion models, yet its activation schedule is usually selected heuristically. In practice, most existing CFG-based methods rely on a pre-defined activation policy throughout inference, while recent dynamic variants often d...
Jia-Yang Gao, Tian-Yi Zheng, Jia-Yang Zou et al.· 0 citations
The known randomized upper bound has the correct asymptotic leading constant for every fixed width, based on a pairwise accounting of incomparable queries under a random-chain hard distribution and a unique ownership property for incomparable comparisons.
Luyao Fan, Jiayang Zou, Jia-Yang Gao et al.· 0 citations
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