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Detection of phase transition via convolutional neural network

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arxiv 1609.09087 v2 pith:FWZDAG4M submitted 2016-09-28 cond-mat.dis-nn hep-lathep-th

Detection of phase transition via convolutional neural network

classification cond-mat.dis-nn hep-lathep-th
keywords phasetransitionconvolutionalfindinverseisingmodelnetwork
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We design a Convolutional Neural Network (CNN) which studies correlation between discretized inverse temperature and spin configuration of 2D Ising model and show that it can find a feature of the phase transition without teaching any a priori information for it. We also define a new order parameter via the CNN and show that it provides well approximated critical inverse temperature. In addition, we compare the activation functions for convolution layer and find that the Rectified Linear Unit (ReLU) is important to detect the phase transition of 2D Ising model.

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