A Riemannian Geometry for Low-rank Adaptation

arXiv:2610.08049 · cs.LG · Submitted 2026-10-06 · Read on arXiv

cs.LG

Submitted: 2026-10-06

Updated: 2026-10-06

Terminology

• Adaptation — 1× in this paper · explained in 1 episode

Sources

• Qwen3-VL Technical Report
• A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects
• Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge
• DeepSeek-V3 Technical Report
• The Llama 3 Herd of Models
• MoELoRA: Contrastive Learning Guided Mixture of Experts on Parameter-Efficient Fine-Tuning for Large Language Models
• A Riemannian geometry for low-rank matrix completion
• GPT-4 Technical Report
• Llama 2: Open Foundation and Fine-Tuned Chat Models
• Qwen3 Technical Report

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