Training multilevel networks to detect arbitrary Boolean functions from input/output pairs has been a long standing problem. Considerable progress has been made, but current connectionistic learning algorithms (e.g., Hinton et al., 1984; Ackley et al., 1985; Barto, 1985; Rumelhart et al., 1986) are of limited physiological relevance, and empirically are quite slow. The approaches developed here are somewhat more physiologically plausible and considerably faster.
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