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arXiv 2012.13987math-phcond-mat.dis-nnmath.MP
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西森线上深玻尔兹曼机的解

The solution of the deep Boltzmann machine on the Nishimori line

Diego Alberici, Francesco Camilli, Pierluigi Contucci, Emanuele Mingione

摘要:

西森线上的有限层数的深玻尔兹曼机是完全解决的定理,表示其压力通过有限维变分问题的最小-最大型。在没有磁场的情况下,序参量显示出相变。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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