Challenge: Existing MR-based methods do not fully consider deep node and structural information.
Approach: They propose a graph dual-masked self-supervised graph representation learning framework in hyperbolic space that masks nodes and edges and performs node aggregation.
Outcome: The proposed method is superior in downstream tasks such as node classification and link prediction.

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Hyperbolic Capsule Networks for Multi-Label Classification (2020.acl-main)

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Challenge: Existing methods for classification of labels are limited by feature aggregation and encoding.
Approach: They propose to use hyperbolic capsule networks to capture fine-grained label information . they also propose a new routing method to adaptively adjust capsule number during routing .
Outcome: The proposed method significantly improves the performance of multi-label classification on tail labels.
HGCLIP: Exploring Vision-Language Models with Graph Representations for Hierarchical Understanding (2025.coling-main)

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Challenge: Object categories are typically organized into a multi-granularity taxonomic hierarchy . traditional uni-modal approaches focus primarily on image features, revealing limitations in complex scenarios.
Approach: They propose a framework that combines vision-language models with a deeper exploitation of the hierarchy.
Outcome: The proposed framework shows significant improvements on 11 diverse visual recognition benchmarks.
Lˆ2GC:Lorentzian Linear Graph Convolutional Networks for Node Classification (2024.lrec-main)

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Challenge: Existing linear GCNs perform neural network operations in Euclidean space, which do not capture tree-like hierarchical structure of graphs.
Approach: They propose a Lorentzian linear GCN framework that maps features into hyperbolic space and performs a feature transformation to capture the underlying tree-like structure of data.
Outcome: The proposed framework achieves state-of-the-art accuracy on standard citation networks datasets and 81.3% on PubMed datasets.
HEAL: Hybrid Enhancement with LLM-based Agents for Text-attributed Hypergraph Self-supervised Representation Learning (2025.findings-emnlp)

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Challenge: Existing approaches to enhance text-attributed hypergraph self-supervised learning are limited by label scarcity.
Approach: They propose a data-centric approach that leverages large language models to enhance hypergraph self-supervised learning by integrating hyperedges into a self-representation framework.
Outcome: The proposed approach generates informative nodes and hyperedges through multi-round interaction with LLM-based agents.
HyperKGR: Knowledge Graph Reasoning in Hyperbolic Space with Graph Neural Network Encoding Symbolic Path (2025.emnlp-main)

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Challenge: Existing methods for linking knowledge graphs are incomplete and rely on Euclidean embeddings . a hyperbolic GNN framework embeds recursive learning trees in hyperbolical space .
Approach: They propose a hyperbolic GNN framework that embeds recursive learning trees in hyperbolical space and generates query-specific embeddings.
Outcome: The proposed framework outperforms state-of-the-art methods on multiple benchmark datasets.
Knowledge Association with Hyperbolic Knowledge Graph Embeddings (2020.emnlp-main)

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Challenge: Existing methods for knowledge graphs (KGs) depend on high embedding dimensions and hierarchical structures to achieve expressiveness.
Approach: They propose a hyperbolic relational graph neural network for KG embedding and capture knowledge associations with a high-dimensional transformation.
Outcome: Experiments on entity alignment and type inference show the proposed method is effective and efficient.
HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learning (2021.findings-emnlp)

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Challenge: Existing taxonomies have limited coverage due to expensive manual curation process.
Approach: They propose an algorithm that expands existing taxonomies to preserve their structure in a more expressive hyperbolic embedding space and learns to represent concepts and their relations with a hyperbolical Graph Neural Network.
Outcome: The proposed algorithm outperforms baseline models with representation learning in a Euclidean feature space and achieves state-of-the-art performance on the taxonomy expansion benchmarks.
Compressing LLM Knowledge into Graph Representations for Text-attributed Graphs Learning (2026.acl-long)

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Challenge: Existing GNN-LLM approaches use large language models at inference time for processing text attributes, resulting in costly deployment.
Approach: They propose a framework that internalizes LLM knowledge within graph models and supports inference-efficient TAG learning.
Outcome: The proposed framework internalizes LLM knowledge within graph models and supports inference-efficient TAG learning.
Joint Learning of Hyperbolic Label Embeddings for Hierarchical Multi-label Classification (2021.eacl-main)

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Challenge: Existing methods for hierarchical multi-label classification do not assume label hierarchy exists.
Approach: They propose to jointly learn the classifier parameters as well as the label embeddings . they propose to use hyperbolic embeddables to gain better generalisation over the labels .
Outcome: The proposed method achieves state-of-the-art generalization on benchmarks and is more accurate than existing methods.
Hyperbolic Hierarchy-Aware Knowledge Graph Embedding for Link Prediction (2021.findings-emnlp)

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Challenge: Existing knowledge graph embedding methods are built on Euclidean space, which are difficult to handle hierarchical structures.
Approach: They propose a KGE model with extended Poincaré Ball and polar coordinate system to capture hierarchical structures.
Outcome: The proposed model captures hierarchical relationships with extended Poincaré Ball and polar coordinate system in hyperbolic space and achieves state-of-the-art results on part of link prediction tasks.

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