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Neural Logic Networks

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arxiv 1910.08629 v1 pith:VT2ZQV54 submitted 2019-10-17 cs.AI cs.LGcs.NEstat.ML

classification cs.AIcs.LGcs.NEstat.ML
keywords logicalneuraldatanetworksreasoningabilityexperimentsinference
verification ladder T0 review T1 audit T2 compute T3 formal
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Recent years have witnessed the great success of deep neural networks in many research areas. The fundamental idea behind the design of most neural networks is to learn similarity patterns from data for prediction and inference, which lacks the ability of logical reasoning. However, the concrete ability of logical reasoning is critical to many theoretical and practical problems. In this paper, we propose Neural Logic Network (NLN), which is a dynamic neural architecture that builds the computational graph according to input logical expressions. It learns basic logical operations as neural modules, and conducts propositional logical reasoning through the network for inference. Experiments on simulated data show that NLN achieves significant performance on solving logical equations. Further experiments on real-world data show that NLN significantly outperforms state-of-the-art models on collaborative filtering and personalized recommendation tasks.

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  1. Learning Interpretable Differentiable Logic Networks for Tabular Regression

    cs.LG 2025-05 conditional novelty 4.0 of 10

    A weighted sum over binary logic-rule activations lets Differentiable Logic Networks perform tabular regression with accuracy close to random forests at much lower inference cost.

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