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Clustering then Propagation: Select Better Anchors for Knowledge Graph Embedding

NeurIPS 2024 · Graph learning › Knowledge and temporal graphs · approach: Knowledge graph embeddings · 5 citations (OpenAlex)

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Proposes RecPiece, an anchor-based knowledge graph embedding method that selects anchors by clustering triplet features into as many clusters as relation types and mapping representative triplets to anchor entities.

Problem

Shallow KGE models scale poorly in parameters and memory, and existing anchor-based KGE methods select anchors through primitive strategies (random, degree centrality, PageRank), limiting performance.

Approach

Cluster triplet features (not entity features) with k-means using the number of relation types as cluster count, pick triplets nearest each centroid in proportion to relation frequency, and map them to anchor entities that feed the NodePiece-style hashing and MLP propagation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace NodePiece anchor selection with relational clustering-based selectionRotatE · FB15k-237 link predictionMRR: 0.254 -> 0.265Helped
Replace NodePiece anchor selection with relational clustering-based selectionRotatE · WN18RR link predictionMRR: 0.396 -> 0.402Helped
Replace NodePiece anchor selection with relational clustering-based selectionRotatE · CoDEx-L link predictionMRR: 0.190 -> 0.198Helped
Replace NodePiece anchor selection with relational clustering-based selectionRotatE · YAGO 3-10 link predictionMRR: 0.231 -> 0.243Helped
Replace NodePiece anchor selection with relational clustering-based selectionCOMPGCN · WD50K (5% labeled) entity classificationPRC-AUC: 0.443 -> 0.459Helped
Add relational clustering-based anchor selection to AutoSFAutoSF · OGB WikiKG 2 link predictionMRR: 0.570 ±0.003 -> 0.598 ±0.003Helped
Use relational clustering-based anchor selection instead of random selection (ablation)RecPiece · FB15k-237 entity predictionMRR: 0.249 -> 0.265Helped
Use relational clustering-based anchor selection instead of node degree centrality (ablation)RecPiece · FB15k-237 entity predictionMRR: 0.250 -> 0.265Helped
Use relational clustering-based anchor selection instead of Personalized PageRank (ablation)RecPiece · FB15k-237 relation predictionMRR: 0.878 -> 0.884Helped
Use KG structural information rather than PLM textual features for feature preparation (ablation)RecPiece + RotatE · FB15k-237 link predictionMRR: 0.262 -> 0.265Helped
Cluster triplet features instead of entity features (ablation)RecPiece + RotatE · FB15k-237 link predictionMRR: 0.259 -> 0.265Helped
Use BisectingKMeans instead of KMeans for clustering (ablation)RecPiece · FB15k-237 link predictionMRRNo clear effect

Surprising findings

Limitations

Experimental setup

Datasets: FB15k-237 WN18RR CoDEx-L YAGO3-10 WD50K OGB WikiKG 2

Benchmarks: FB15k-237 WN18RR CoDEx-L YAGO3-10 WD50K OGB WikiKG 2

Metrics: MRR Hits@10 ROC-AUC PRC-AUC Hard Accuracy parameter count Effi. (MRR/#P) memory running time

Baselines: TransE DistMult ComplEx PairRE RotatE TripleRE AutoSF NodePiece + RotatE NodePiece + AutoSF NodePiece + CompGCN LRE + PairRE

Builds on: NodePiece RotatE AutoSF CompGCN

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