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The Blessing of Dimensionality: How Near-Orthogonality in High-Dimensional Spaces Explains Temporal Portability

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TL;DR - PortLLM’s LoRA patches remain effective across 10 continual-pretraining updates on multiple model families. The paper attributes this temporal portability to near-orthogonality in high-dimensional parameter spaces.

  • Evaluates Mistral, Gemma, and Qwen across 10 continual-pretraining steps.
  • Finds that repeated fine-tuning may be unnecessary after periodic base-model updates.
  • Provides two theoretical analyses explaining PortLLM’s competitive performance.
  • Uses loss-landscape geometry to compare model-adaptation options.

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The Blessing of Dimensionality: How Near-Orthogonality in High-Dimensional Spaces Explains Temporal Portability

arXiv cs.LG Abigail Woodring, Adrian Chan, Rana Muhammad Shahroz Khan, Sukwon Yun, Chau-Wai Wong, Tianlong Chen 2026-07-22 arXiv:2607.20301
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-03 14:15:06.444753 UTC

TL;DR - PortLLM’s LoRA patches remain effective across 10 continual-pretraining updates on multiple model families. The paper attributes this temporal portability to near-orthogonality in high-dimensional parameter spaces.

  • Evaluates Mistral, Gemma, and Qwen across 10 continual-pretraining steps.
  • Finds that repeated fine-tuning may be unnecessary after periodic base-model updates.
  • Provides two theoretical analyses explaining PortLLM’s competitive performance.
  • Uses loss-landscape geometry to compare model-adaptation options.
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