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20242026
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cs.LG2026

Hyperbolic Multimodal Continual Learning

Jiahong Liu, Ming Shen, Xiaohao Liu +4

Hyperbolic geometry has recently emerged as a powerful representation space for multimodal learning, as it naturally captures hierarchical semantic structure across modalities. Des…

cs.LG2026

Hierarchical Abstract Tree for Cross-Document Retrieval-Augmented Generation

Ziwen Zhao, Menglin Yang

Retrieval-augmented generation (RAG) enhances large language models with external knowledge, and tree-based RAG organizes documents into hierarchical indexes to support queries at…

cs.LG2026

Parameter-Efficient Fine-Tuning of LLMs with Mixture of Space Experts

Buze Zhang, Jinkai Tao, Zilang Zeng +4

Large Language Models (LLMs) have achieved remarkable progress, with Parameter-Efficient Fine-Tuning (PEFT) emerging as a key technique for downstream task adaptation. However, exi…

cs.LG2026

Hyperbolic Fine-Tuning for Large Language Models

Menglin Yang, Ram Samarth B B, Aosong Feng +4

Large language models (LLMs) have demonstrated remarkable performance across various tasks. However, it remains an open question whether the default Euclidean space is the most sui…

cs.LG2025

Position: Beyond Euclidean -- Foundation Models Should Embrace Non-Euclidean Geometries

Neil He, Jiahong Liu, Buze Zhang +6

In the era of foundation models and Large Language Models (LLMs), Euclidean space has been the de facto geometric setting for machine learning architectures. However, recent litera…

cs.LG2025

HELM: Hyperbolic Large Language Models via Mixture-of-Curvature Experts

Neil He, Rishabh Anand, Hiren Madhu +5

Large language models (LLMs) have shown great success in text modeling tasks across domains. However, natural language exhibits inherent semantic hierarchies and nuanced geometric…