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Understanding and Exploiting Weight Update Sparsity for C...
Erfan Miahi, · 2026-05-20 · via cs.LG updates on arXiv.org

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Abstract:Bandwidth-constrained distributed reinforcement learning (RL) post-training of large language models is bottlenecked by two channels: weight synchronization from trainers to inference workers, and gradient or pseudo-gradient synchronization across trainers. We find that approximately 99% of per-step weight updates are invisible after the BF16 cast used by standard training and inference forward passes. We explain this sparsity by showing that, at typical RL post-training learning rates, Adam updates often fall below the local BF16 rounding threshold. We turn this observation into an algorithmic principle called compute-visible sparsification: transmit only updates that would change the next forward pass. PULSE (Precision-gated Updates for Low-precision Sparse Exchange) turns this principle into two communication algorithms: PULSESync sends lossless sparse BF16 weight patches from trainers to inference workers, and PULSELoCo sparsifies DiLoCo-style FP32 pseudo-gradient synchronization with error feedback. Over bandwidth-constrained commodity networks, PULSESync cuts weight-synchronization communication by over 100x while reconstructing trainer weights bit-identically. PULSELoCo matches DiLoCo across four models while reducing trainer-to-trainer communication by over 17x versus DiLoCo and over 100x versus DDP in the largest evaluated setting.
Comments: 40 pages, 19 figures, 14 tables
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2602.03839 [cs.LG]
  (or arXiv:2602.03839v2 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2602.03839

arXiv-issued DOI via DataCite

Submission history

From: Erfan Miahi [view email]
[v1] Tue, 3 Feb 2026 18:56:48 UTC (527 KB)
[v2] Tue, 19 May 2026 16:03:06 UTC (1,001 KB)