While traditional neural networks could not solve the 'exclusive or' (XOR) problem, it is known that current ones took the place of the universal Turing machine with the same level of computational capability. However, there was not enough vigorous research on how to construct neural networks to solve specific computational problems. Median filter is a nonlinear local signal processing technique that reduces noise from the original signal. It conducts more complicated operations compared to solving an XOR problem. In this paper, we developed a new neural network that performs 2D median filtering and conducted experiments by applying it to a variety of image data sets. Experimental results showed that the proposed XOR neural network could conduct median filtering with more than 99% accuracy. We observed that the accuracy is improved as the sizes of input images increase and also found that the accuracy was better for artificially created random images than natural images.
KSP Keywords
2D Median Filter, Convolution neural network(CNN), Data sets, Image data, Local signal, Median Filtering, Natural images, Processing technique, Signal Processing, Universal turing machine, Xor problem
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