ResearchResearch paperLarge Language Models1 source · Oct 8, 2026

Sample-Adaptive Zeroth-Order Post-Training

To address this limitation, we propose Sample-Adaptive Zeroth-Order Optimization (SAZO), which learns sample importance online and adaptively allocates queries to accelerate convergence.

Key points

  • Zeroth-order (ZO) optimization offers a memory-efficient alternative to backpropagation for fine-tuning large language models.
  • SAZO extracts gradient-norm information from existing directional differences to estimate sample importance without access to true gradients.
  • We prove that SAZO asymptotically matches the leading convergence term of the minimum-variance sampling oracle, and achieves a strictly faster convergence rate than standard methods.
  • Extensive experiments across four model families demonstrate improved average downstream performance and up to $6\times$ faster convergence to the same training loss in terms of query count.

Sources (1)

  • [1]Sample-Adaptive Zeroth-Order Post-Training
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 8, 06:00 PM
    To address this limitation, we propose Sample-Adaptive Zeroth-Order Optimization (SAZO), which learns sample importance online and adaptively allocates queries to accelerate convergence.
    Zeroth-order (ZO) optimization offers a memory-efficient alternative to backpropagation for fine-tuning large language models.

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