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BaNEL (Bayesian Negative Evidence Learning) is a novel algorithm that trains generative models using only failed attempts, addressing the challenge of extremely sparse rewards in hard problems like theorem proving and drug discovery. By learning patterns from failures through a separate generative model, BaNEL achieves up to 278x improvement in success rates while minimizing expensive reward evaluations. The approach trades compute for reward efficiency, demonstrating that machines can learn from negative evidence alone—similar to how human scientists generalize from past mistakes.

Machine Learning Blog | ML@CMU | Carnegie Mellon University

Experiment: Adversarial Attack On Toy Language Model