📄 中文摘要
复杂的一阶逻辑(FOL)查询在知识图谱中的回答对于推理至关重要。符号方法提供了解释性,但在不完整图谱中表现不佳,而神经方法则具有更好的泛化能力,但缺乏透明性。神经符号模型旨在整合两者的优势,但通常未能捕捉逻辑查询的层次结构,限制了其有效性。HYQNET作为一种神经符号模型,专注于逻辑查询推理,充分利用超曲面空间。HYQNET将FOL查询分解为关系投影和模糊集上的逻辑操作,从而增强了解释性。为了解决缺失链接问题,HYQNET采用基于超曲面图神经网络的方法,在超曲面空间中进行知识图谱的补全。
📄 English Summary
Neural-Symbolic Logic Query Answering in Non-Euclidean Space
The proposed model, HYQNET, addresses the challenge of answering complex first-order logic (FOL) queries on knowledge graphs, which is crucial for reasoning. While symbolic methods provide interpretability, they struggle with incomplete graphs. Neural approaches, on the other hand, generalize better but lack transparency. Neural-symbolic models aim to combine these strengths but often fail to capture the hierarchical structure of logical queries, limiting their effectiveness. HYQNET leverages hyperbolic space for logic query reasoning by decomposing FOL queries into relation projections and logical operations over fuzzy sets, thus enhancing interpretability. To tackle missing links, it employs a hyperbolic GNN-based approach for knowledge graph completion in hyperbolic space.
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数据源: OpenAI, Google AI, DeepMind, AWS ML Blog, HuggingFace 等