论文标题

了解消息传递算法的动态:免费的概率启发式方法

Understanding the dynamics of message passing algorithms: a free probability heuristics

论文作者

Opper, Manfred, Çakmak, Burak

论文摘要

我们使用随机矩阵理论的Freeness假设来分析具有大型系统极限的概率模型的推理算法的动力学行为。对于玩具模型,我们能够恢复以前的结果,例如消失的有效记忆和算法的分析收敛速率。

We use freeness assumptions of random matrix theory to analyze the dynamical behavior of inference algorithms for probabilistic models with dense coupling matrices in the limit of large systems. For a toy Ising model, we are able to recover previous results such as the property of vanishing effective memories and the analytical convergence rate of the algorithm.

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