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KGCRR: An Effective Metric-Driven Knowledge Graph Completion Framework by Designing a Novel Upper Bound Function with Adaptive Approximation to Reciprocal Rank

AAAI 2025 · Graph learning › Knowledge and temporal graphs · approach: Inductive knowledge graph completion · 1 citations (OpenAlex)

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Proposes CRR, a log-transformed sigmoid-based upper bound on reciprocal rank with a pressure parameter ρ, used as a plug-and-play loss for knowledge graph embedding models on FB15k-237 and WN18RR.

Problem

Knowledge graph completion is typically trained with margin-based or log-likelihood losses that are misaligned with the reciprocal rank (RR/MRR) evaluation metric, while directly optimizing RR suffers from gradient vanishing.

Approach

CRR is a nonlinear (log) transformation of a rank-based surrogate built on a shifted sigmoid with pressure parameter ρ; increasing ρ makes the surrogate a closer approximation to RR, and the loss is a plug-and-play replacement for existing KGE objectives.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace margin-based loss with CRR lossKGE methods on FB15k-237 · FB15k-237MRR: 26.49%Helped
Replace Log-Likelihood loss with CRR lossKGE methods on FB15k-237 · FB15k-237MRR: 32.31%Helped
Replace margin-based loss with CRR lossKGE methods on WN18RR · WN18RRMRR: 7.51%Helped
Replace Log-Likelihood loss with CRR lossKGE methods on WN18RR · WN18RRMRR: 9.93%Helped
Add the transformation function T (log function) to CRR (ablation)CompoundE on FB15k-237 · FB15k-237MRR: 0.414 -> 0.428Helped
Add the transformation function T (log function) to CRR (ablation)CompoundE on WN18RR · WN18RRMRR: 0.468 -> 0.484Helped
Increase pressure parameter ρ from 0.0 toward an effective value (ablation)CRR on FB15k-237 and WN18RR · FB15k-237 and WN18RRMRRMixed

Surprising findings

Limitations

Experimental setup

Datasets: FB15k-237 WN18RR

Benchmarks: FB15k-237 WN18RR

Metrics: MRR Hits@1 Hits@10

Baselines: margin-based loss log-likelihood loss rank loss RR loss PairRE CompoundE

Builds on: Smooth-AP Smooth-AUC OpenKE

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