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Large Margin Nearest Neighbor Embedding for Knowledge Representation

2015/04/07 by Miao Fan, Qiang Zhou, Fan, Miao +5 · 2 citations
Computer Science · Physics and Astronomy · #Advanced Graph Neural Networks #Artificial Intelligence (cs.AI) #Complex Network Analysis Techniques #Computation and Language (cs.CL) #FOS: Computer and information sciences #Topic Modeling #cs.AI #cs.CL

paper · pdf · doi:10.48550/arxiv.1504.01684

arXiv admin note: text overlap with arXiv:1503.08155

arxiv created 2015/04/07 · openalex publication_date 2015/04/07 · arxiv updated 2015/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

Traditional way of storing facts in triplets (\it head_entity, relation, tail_entity), abbreviated as (\it h, r, t), makes the knowledge intuitively displayed and easily acquired by mankind, but hardly computed or even reasoned by AI machines. Inspired by the success in applying \it Distributed Representations to AI-related fields, recent studies expect to represent each entity and relation with a unique low-dimensional embedding, which is different from the symbolic and atomic framework of displaying knowledge in triplets. In this way, the knowledge computing and reasoning can be essentially facilitated by means of a simple \it vector calculation, i.e. \bf h + \bf r ≈ \bf t. We thus contribute an effective model to learn better embeddings satisfying the formula by pulling the positive tail entities \bf t+ to get together and close to \bf h + \bf r (\it Nearest Neighbor), and simultaneously pushing the negatives \bf t- away from the positives \bf t+ via keeping a \it Large Margin. We also design a corresponding learning algorithm to efficiently find the optimal solution based on \it Stochastic Gradient Descent in iterative fashion. Quantitative experiments illustrate that our approach can achieve the state-of-the-art performance, compared with several latest methods on some benchmark datasets for two classical applications, i.e. \it Link prediction and \it Triplet classification. Moreover, we analyze the parameter complexities among all the evaluated models, and analytical results indicate that our model needs fewer computational resources on outperforming the other methods.

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