Implementation Issues in the Fourier Transform Algorithm

Yishay Mansour, Sigal Sahar

Abstract: The Fourier transform of boolean functions has come to play an important role in proving many important learnability results. We aim to demonstrate that the Fourier transform techniques are also a useful and practical algorithm in addition to being a powerful theoretical tool. We describe the more prominent changes we have introduced to the algorithm, ones that were crucial and without which the performance of the algorithm would severely deterio(cid:173) rate. One of the benefits we present is the confidence level for each prediction which measures the likelihood the prediction is correct.