论文标题

Nishimori线上的深玻尔兹曼机器的解决方案

The solution of the deep Boltzmann machine on the Nishimori line

论文作者

Alberici, Diego, Camilli, Francesco, Contucci, Pierluigi, Mingione, Emanuele

论文摘要

Nishimori线上的Deep Boltzmann机器具有有限数量的层的深玻尔兹机器,该定理通过有限的尺寸变化问题来求解其压力。在没有磁场的情况下,表明阶参数显示出相变。

The deep Boltzmann machine on the Nishimori line with a finite number of layers is exactly solved by a theorem that expresses its pressure through a finite dimensional variational problem of min-max type. In the absence of magnetic fields the order parameter is shown to exhibit a phase transition.

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