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Creators/Authors contains: "Dickens, Charles Andrew"

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  1. ; ; ; ; (, Proceedings of Machine Learning Research (ICML))
    We leverage convex and bilevel optimization techniques to develop a general gradient-based parameter learning framework for neural-symbolic (NeSy) systems. We demonstrate our framework with NeuPSL, a state-of-the-art NeSy architecture. To achieve this, we propose a smooth primal and dual formulation of NeuPSL inference and show learning gradients are functions of the optimal dual variables. Additionally, we develop a dual block coordinate descent algorithm for the new formulation that naturally exploits warm-starts. This leads to over $$100 \times$$ learning runtime improvements over the current best NeuPSL inference method. Finally, we provide extensive empirical evaluations across $$8$$ datasets covering a range of tasks and demonstrate our learning framework achieves up to a $16$ 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; ; ; ; (, ArXivorg)
    We present Neural Probabilistic Soft Logic (NeuPSL), a novel neuro-symbolic (NeSy) framework that unites state-of-the-art symbolic reasoning with the low-level perception of deep neural networks. To explicitly model the boundary between neural and symbolic representations, we introduce NeSy Energy-Based Models, a general family of energy-based models that combine neural and symbolic reasoning. Using this framework, we show how to seamlessly integrate neural and symbolic parameter learning and inference. We perform an extensive empirical evaluation and show that NeuPSL outperforms existing methods on joint inference and has significantly lower variance in almost all settings. 
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    Accepted Manuscript Full Text Available