ResearchResearch paperLarge Language Models1 source · Oct 10, 2026

Zeroth-Order Fine-Tuning of LLMs in Learnable Low-Rank Subspaces

Zeroth-order (ZO) optimization enables memory-efficient fine-tuning of large language models (LLMs).

Key points

  • We propose AdaSub-ZO, a novel forward-only fine-tuning framework in learnable low-rank subspaces.
  • Instead of relying on fixed random matrices, AdaSub-ZO iteratively learns layer-wise projection matrices directly from finite-difference feedback to track task-aware descent directions.
  • Furthermore, AdaSub-ZO incorporates a subspace momentum acceleration mechanism to smooth noisy gradient estimates across evolving subspace bases.
  • Extensive experiments on natural language understanding tasks demonstrate that AdaSub-ZO outperforms existing ZO baselines, substantially reducing gradient estimation variance and accelerating convergence.

Sources (1)

  • [1]Zeroth-Order Fine-Tuning of LLMs in Learnable Low-Rank Subspaces
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 10, 11:33 PM
    Zeroth-order (ZO) optimization enables memory-efficient fine-tuning of large language models (LLMs).
    We propose AdaSub-ZO, a novel forward-only fine-tuning framework in learnable low-rank subspaces.

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