Deep neural networks can predict the nonlinearity of 4- and 5-variable Boolean functions with over 95% accuracy, but the method does not scale to higher variables and offers no speed or memory advantage over classical algorithms.
Mathematical Perspectives on Neural Networks (1996)
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Learning Nonlinearity of Boolean Functions: An Experimentation with Neural Networks
Deep neural networks can predict the nonlinearity of 4- and 5-variable Boolean functions with over 95% accuracy, but the method does not scale to higher variables and offers no speed or memory advantage over classical algorithms.