Challenge: Existing knowledge graph embedding models use a loss framework to distinguish between correct and incorrect triplets.
Approach: They propose a loss framework that reweights each triplet to highlight the less-optimized triplets.
Outcome: The proposed method performs on several knowledge graph embedding models, including TransE, TransH and ComplEx.

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RatE: Relation-Adaptive Translating Embedding for Knowledge Graph Completion (2020.coling-main)

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Challenge: Existing approaches for knowledge graph embedding have limitations in complex vector space . embeddability of one-to-many relations is not explicitly alleviated .
Approach: They propose a relation-adaptive translating embedding function that can be extended to complex vector space.
Outcome: The proposed translation function improves expressive power and alleviates embedding ambiguity problem.
A Mutual Information Perspective on Knowledge Graph Embedding (2025.acl-long)

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Challenge: Existing knowledge graph embedding techniques suffer from high intra-group similarity, loss of semantic information, and insufficient inference capability, particularly in complex relation patterns such as 1-N and N-1 relations.
Approach: They propose a knowledge graph embedding framework that leverages mutual information maximization to improve the semantic representation of entities and relations.
Outcome: Extensive experiments on benchmark datasets demonstrate the effectiveness of the proposed method, with consistent performance improvements across various baseline models.
SEEK: Segmented Embedding of Knowledge Graphs (2020.acl-main)

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Challenge: Existing methods for knowledge graph embedding can not make a proper trade-off between the model complexity and the model expressiveness, which makes them far from satisfactory.
Approach: They propose a lightweight modeling framework that can achieve highly competitive relational expressiveness without increasing the model complexity.
Outcome: The proposed framework can achieve highly competitive relational expressiveness without increasing model complexity.
Improving Knowledge Graph Embedding Using Simple Constraints (P18-1)

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Challenge: Recent efforts focused on designing more complicated models or incorporating extra information beyond triples.
Approach: They propose to use non-negativity constraints on entity representations and approximate entailment constraints on relation representations to improve KG embedding.
Outcome: The proposed model outperforms baseline models on WordNet, Freebase, and DBpedia.
RelWalk - A Latent Variable Model Approach to Knowledge Graph Embedding (2021.eacl-main)

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Challenge: Existing methods for embedding entities and relations in knowledge graphs are heuristically motivated and theoretical understanding of such embeddables is underdeveloped.
Approach: They extend the random walk model of word embeddings to Knowledge Graph Embeddings (KGEs) they propose a learning objective motivated by the theoretical analysis to learn KGEs from a given knowledge graph.
Outcome: The proposed learning objective is motivated by the theoretical analysis to learn KGEs from a given knowledge graph.
TranSHER: Translating Knowledge Graph Embedding with Hyper-Ellipsoidal Restriction (2022.emnlp-main)

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Challenge: Existing knowledge graph embedding methods restrict entities on hyper-ellipsoid surfaces, resulting in suboptimal knowledge graph completion.
Approach: They propose a score function that leverages relation-specific translations between head and tail entities to relax constraints on hyper-ellipsoid surfaces.
Outcome: The proposed method achieves state-of-the-art performance on link prediction and generalizes well to datasets in different domains and scales.
PairRE: Knowledge Graph Embeddings via Paired Relation Vectors (2021.acl-long)

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Challenge: Existing knowledge graph embedding methods fail to solve two major problems at the same time, leading to unsatisfactory results.
Approach: They propose a model with paired vectors for each relation representation that can be adaptively adjusted to fit for different complex relations.
Outcome: Experiments on two knowledge graph datasets show the proposed model can handle complex relations and encode relation patterns.
RulE: Knowledge Graph Reasoning with Rule Embedding (2024.findings-acl)

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Challenge: Knowledge graph reasoning is an important problem for knowledge graphs.
Approach: They propose a framework that leverages logical rules to enhance KG reasoning by learning rule embeddings from existing triplets and first-order rules.
Outcome: The proposed framework outperforms existing embedding-based and rule-based methods on multiple benchmarks.
KGE-CL: Contrastive Learning of Tensor Decomposition Based Knowledge Graph Embeddings (2022.coling-1)

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Challenge: Existing knowledge graph embedding methods ignore semantic similarity between related entities and entity-relation couples in different triples .
Approach: They propose a contrastive learning framework for tensor decomposition based (TDB) KGE that can shorten the semantic distance of related entities and entity-relation couples in different triples and thus improve the performance of KGE.
Outcome: The proposed method achieves 51.2% MRR, 46.8% Hits@1 on three standard KGE datasets, 37.8% MRR and 28.6% Hits @1 on FB15k-237 datasets and 59.1% MRR .
Debiasing knowledge graph embeddings (2020.emnlp-main)

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Challenge: Existing methods to train knowledge graph embeddings to be neutral to sensitive attributes such as gender have been shown to increase training time by a factor of eight or more.
Approach: They propose a method where all embeddings are trained to be neutral to sensitive attributes such as gender by default using an adversarial loss.
Outcome: The proposed method reduces training time by eightfold and improves accuracy.

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