Learnability beyond AC0

Jeffrey C. Jackson, Adam R. Klivans, Rocco A. Servedio

Abstract: We give an algorithm for learning a more expressive circuit class than the class AC/sup 0/ considered by Linial et al. (1993) and Kharitonov (1993). The new algorithm learns constant-depth AND/OR/NOT circuits augmented with (a limited number of) majority gates. Our main positive result for these circuits is stated informally.