A Fully Hyperbolic Neural Model for Hierarchical Multi-Class Classification
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Abstract (arXiv)
Label inventories for fine-grained entity typing have grown in size and complexity. Nonetheless, they exhibit a hierarchical structure. Hyperbolic spaces offer a mathematically appealing approach for learning hierarchical representations of symbolic data. However, it is not clear how to integrate hyperbolic components into downstream tasks. This is the first work that proposes a fully hyperbolic model for multi-class multi-label classification, which performs all operations in hyperbolic space. We evaluate the proposed model on two challenging datasets and compare to different baselines that operate under Euclidean assumptions. Our hyperbolic model infers the latent hierarchy from the class distribution, captures implicit hyponymic relations in the inventory, and shows performance on par with state-of-the-art methods on fine-grained classification with remarkable reduction of the parameter size. A thorough analysis sheds light on the impact of each component in the final prediction and showcases its ease of integration with Euclidean layers.
Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Oct 2020.
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Citing papers per year: 2021: 10; 2022: 7; 2023: 1; 2024: 0; 2025: 3; 2026: 2.
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- 2021Fully Hyperbolic Neural Networkscited by 107
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
- 2021Modeling Fine-Grained Entity Types with Box Embeddingscited by 36
- 2022Hyperbolic Deep Reinforcement Learningcited by 25
- 2021Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approachcited by 23
- 2021Fine-grained Entity Typing via Label Reasoningcited by 22
- 2021Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matricescited by 22
- 2021HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learningcited by 14
- 2021Extracting Event Temporal Relations via Hyperbolic Geometrycited by 13
- 2022Small Transformers Compute Universal Metric Embeddingscited by 12
- 2022Generative Entity Typing with Curriculum Learningcited by 8
- 2023Label-Aware Hyperbolic Embeddings for Fine-grained Emotion Classificationcited by 8
11 more
- 2022Modeling Label Correlations for Ultra-Fine Entity Typing with Neural Pairwise Conditional Random Fieldcited by 4
- 2025Hierarchical Mamba Meets Hyperbolic Geometry: A New Paradigm for Structured Language Embeddingscited by 4
- 2021Augmenting the User-Item Graph with Textual Similarity Modelscited by 3
- 2021Hyperbolic Disentangled Representation for Fine-Grained Aspect Extractioncited by 3
- 2025Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatzcited by 3
- 2022Type-enriched Hierarchical Contrastive Strategy for Fine-Grained Entity Typingcited by 2
- 2022Bending the Future: Autoregressive Modeling of Temporal Knowledge Graphs in Curvature-Variable Hyperbolic Spacescited by 2
- 2026New non-Euclidean neural quantum states from hyperbolic Lorentz recurrent architecturescited by 1
- 2026Two-dimensional Hyperbolic RNN Neural Quantum Statecited by 1
- 2021Graceful Degradation and Related Fieldscited by 0
- 2025sHGCN: Simplified hyperbolic graph convolutional neural networkscited by 0
- 2026Two-dimensional Hyperbolic RNN Neural Quantum State24 Jun 2026
- 2026New non-Euclidean neural quantum states from hyperbolic Lorentz recurrent architectures27 Apr 2026
- 2025sHGCN: Simplified hyperbolic graph convolutional neural networks17 Jun 2025
- 2025Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatz28 May 2025
- 2025Hierarchical Mamba Meets Hyperbolic Geometry: A New Paradigm for Structured Language Embeddings25 May 2025
- 2023Label-Aware Hyperbolic Embeddings for Fine-grained Emotion Classification26 Jun 2023
- 2022Modeling Label Correlations for Ultra-Fine Entity Typing with Neural Pairwise Conditional Random Field3 Dec 2022
- 2022The Numerical Stability of Hyperbolic Representation Learning31 Oct 2022
- 2022Generative Entity Typing with Curriculum Learning6 Oct 2022
- 2022Hyperbolic Deep Reinforcement Learning4 Oct 2022
- 2022Small Transformers Compute Universal Metric Embeddings14 Sep 2022
- 2022Bending the Future: Autoregressive Modeling of Temporal Knowledge Graphs in Curvature-Variable Hyperbolic Spaces12 Sep 2022
11 more
- 2022Type-enriched Hierarchical Contrastive Strategy for Fine-Grained Entity Typing22 Aug 2022
- 2021Hyperbolic Disentangled Representation for Fine-Grained Aspect Extraction16 Dec 2021
- 2021Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices26 Oct 2021
- 2021HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learning22 Sep 2021
- 2021Augmenting the User-Item Graph with Textual Similarity Models20 Sep 2021
- 2021Fine-grained Entity Typing via Label Reasoning13 Sep 2021
- 2021Extracting Event Temporal Relations via Hyperbolic Geometry12 Sep 2021
- 2021Graceful Degradation and Related Fields21 Jun 2021
- 2021Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach9 Jun 2021
- 2021Fully Hyperbolic Neural Networks31 May 2021
- 2021Modeling Fine-Grained Entity Types with Box Embeddings2 Jan 2021
- 2021Fully Hyperbolic Neural Networkscited by 107
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
- 2021Modeling Fine-Grained Entity Types with Box Embeddingscited by 36
- 2022Hyperbolic Deep Reinforcement Learningcited by 25
- 2021Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approachcited by 23
- 2021Fine-grained Entity Typing via Label Reasoningcited by 22
- 2021Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matricescited by 22
- 2021HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learningcited by 14
- 2021Extracting Event Temporal Relations via Hyperbolic Geometrycited by 13
- 2022Small Transformers Compute Universal Metric Embeddingscited by 12
- 2022Generative Entity Typing with Curriculum Learningcited by 8
- 2023Label-Aware Hyperbolic Embeddings for Fine-grained Emotion Classificationcited by 8
12 most cited of 22 All 22 (JSON)
- 2026Two-dimensional Hyperbolic RNN Neural Quantum State24 Jun 2026
- 2026New non-Euclidean neural quantum states from hyperbolic Lorentz recurrent architectures27 Apr 2026
- 2025sHGCN: Simplified hyperbolic graph convolutional neural networks17 Jun 2025
- 2025Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatz28 May 2025
- 2023Label-Aware Hyperbolic Embeddings for Fine-grained Emotion Classification26 Jun 2023
- 2022Modeling Label Correlations for Ultra-Fine Entity Typing with Neural Pairwise Conditional Random Field3 Dec 2022
- 2022The Numerical Stability of Hyperbolic Representation Learning31 Oct 2022
- 2022Generative Entity Typing with Curriculum Learning6 Oct 2022
- 2022Hyperbolic Deep Reinforcement Learning4 Oct 2022
- 2022Small Transformers Compute Universal Metric Embeddings14 Sep 2022
- 2022Bending the Future: Autoregressive Modeling of Temporal Knowledge Graphs in Curvature-Variable Hyperbolic Spaces12 Sep 2022
- 2022Type-enriched Hierarchical Contrastive Strategy for Fine-Grained Entity Typing22 Aug 2022
12 newest of 22 All 22 (JSON)