Example Generation Under Constraints Using Cascade Correlation Neural Nets

AbstractHumans not only can effortlessly imagine a wide range of novel instances and scenarios when prompted (e.g., a new shirt), but more remarkably, they can adequately generate examples which satisfy a given set of constraints (e.g., a new, dotted, pink shirt). Recently, Nobandegani and Shultz (2017) proposed a framework which permits converting deterministic, discriminative neural nets into probabilistic generative models. In this work, we formally show that an extension of this framework allows for generating examples under a wide range of constraints. Furthermore, we show that this framework is consistent with developmental findings on children’s generative abilities, and can account for a developmental shift in infants’ probabilistic learning and reasoning. We discuss the importance of integrating Bayesian and connectionist approaches to computational developmental psychology, and how our work contributes to that research.

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