ResearchResearch paperLarge Language Models1 source · Oct 17, 2026

AdamPM: Memory-Efficient LLM Optimization via Moment Pooling

Adam is widely used for training large language models (LLMs) owing to its strong optimization performance and training stability, but its element-wise estimation for the first and second moments incur substantial memory overhead.

Key points

  • We propose AdamPM (Adam with Pooled Moments), a simple and memory-efficient variant of Adam that groups adjacent moment entries along the row or column dimension and represents each group by a single shared mean.
  • We systematically investigate pooling of both first and second moment estimates and identify second moment pooling as the effective design.
  • With a group size of $s$, AdamPM reduces second moment memory to $1/s$ of the original requirement.
  • Extensive experiments on language model pretraining, fine-tuning and multimodal learning demonstrate that AdamPM maintains model performance and training speed while substantially reducing optimizer-state memory.

Sources (1)

  • [1]AdamPM: Memory-Efficient LLM Optimization via Moment Pooling
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 17, 10:04 AM
    Adam is widely used for training large language models (LLMs) owing to its strong optimization performance and training stability, but its element-wise estimation for the first and second moments incur substantial memory overhead.
    We propose AdamPM (Adam with Pooled Moments), a simple and memory-efficient variant of Adam that groups adjacent moment entries along the row or column dimension and represents each group by a single shared mean.

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