Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation

Fuente: arXiv
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Main Authors: Truong, Hoang M., Nguyen-Truong, Hai, Huynh, Dang
Format: Preprint
Published: 2026
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author Truong, Hoang M.
Nguyen-Truong, Hai
Huynh, Dang
author_facet Truong, Hoang M.
Nguyen-Truong, Hai
Huynh, Dang
contents Open-vocabulary semantic segmentation requires adapting image-level vision-language models such as CLIP to dense pixel-level prediction, which is challenging due to the mismatch between hierarchical structure and semantic alignment in the embedding space. While recent works leverage hyperbolic geometry to model hierarchical relationships, they align embeddings across hierarchical levels but overlook semantic misalignment among embeddings within the same level. In this work, we propose HyRo, a hyperbolic fine-tuning framework that decouples hierarchical and semantic alignment in the Poincaré ball model. HyRo aligns hierarchical levels by adjusting the hyperbolic radius and refines semantic relationships through angular alignment using an orthogonal transformation that theoretically preserves the hyperbolic radius. Experiments on standard open-vocabulary semantic segmentation benchmarks demonstrate that HyRo achieves state-of-the-art performance over prior methods.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08874
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation
Truong, Hoang M.
Nguyen-Truong, Hai
Huynh, Dang
Computer Vision and Pattern Recognition
Open-vocabulary semantic segmentation requires adapting image-level vision-language models such as CLIP to dense pixel-level prediction, which is challenging due to the mismatch between hierarchical structure and semantic alignment in the embedding space. While recent works leverage hyperbolic geometry to model hierarchical relationships, they align embeddings across hierarchical levels but overlook semantic misalignment among embeddings within the same level. In this work, we propose HyRo, a hyperbolic fine-tuning framework that decouples hierarchical and semantic alignment in the Poincaré ball model. HyRo aligns hierarchical levels by adjusting the hyperbolic radius and refines semantic relationships through angular alignment using an orthogonal transformation that theoretically preserves the hyperbolic radius. Experiments on standard open-vocabulary semantic segmentation benchmarks demonstrate that HyRo achieves state-of-the-art performance over prior methods.
title Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2605.08874