中文说明：对于含有噪声的的数字图像模式“1、2、3、4”，使用“hopfield”神经网络，进行联想、识别，以去除噪声的影响。
English Description：
For the digital image pattern "1,2,3,4" with noise, the Hopfield neural network is used to associate and recognize, so as to remove the influence of noise.
Using "Hopfield" neural network, association, recognition, in order to remove the influence of noise
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中文说明：对于含有噪声的的数字图像模式“1、2、3、4”，使用“hopfield”神经网络，进行联想、识别，以去除噪声的影响。
English Description：
For the digital image pattern "1,2,3,4" with noise, the Hopfield neural network is used to associate and recognize, so as to remove the influence of noise.