Pursuing the work of Penney and Sherrington, we determine the optimal
continuous-weight perceptron which, on clipping, correctly predicts th
e largest number of weights for the binary perceptron with maximum sta
bility. We calculate the fraction of correctly predicted binary weight
s when only the continuous weights stronger than a certain threshold a
re clipped. We finally carry out simulations for a perceptron with 50
weights to test the practicability of different learning strategies.