论文标题
副本对称自由能的minimax公式
Minimax formula for the replica symmetric free energy of deep restricted Boltzmann machines
论文作者
论文摘要
我们研究了最常用的深层建筑的自由能，用于有限的玻尔兹曼机器，该机器串联处置了层。假设独立的高斯分布式随机权重，我们表明所谓的复制副本中的误差项可以优化为鞍点。这使我们猜想在复制品对称近似中，自由能由min max公式给出，这与两层案例相同。
We study the free energy of a most used deep architecture for restricted Boltzmann machines, where the layers are disposed in series. Assuming independent Gaussian distributed random weights, we show that the error term in the so-called replica symmetric sum rule can be optimised as a saddle point. This leads us to conjecture that in the replica symmetric approximation the free energy is given by a min max formula, which parallels the one achieved for two-layer case.
