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Theoretical and Practical Advances in Hierarchical Bayesian Deep Learning Methodology

arXiv cs.LG ↗ · 2026-10-15 Cached

该论文提出了多层粒子边缘Metropolis-Hastings(MLPMMH)方法,通过伪边缘推断与跨网络宽度截断层级的耦合SMC相结合,实现分层贝叶斯深度学习中参数与超参数的联合推断,并在理论上证明了O(ε²)的均方误差与O(ε⁻²)的计算复杂度,同时给出可扩展的近似版本S-MLPMMH用于MNIST实验。

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