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New research questions stability of low-rank training for LLMs

Researchers have demonstrated that the low-rank subspace assumption used in memory-efficient optimizers like GaLore for training large language models is not as stable as previously believed. Their analysis shows that the projected gradient subspace, recomputed at intervals, is dominated by noise and does not consistently track a slowly drifting object, especially as model scale increases. The study suggests that instead of tracking the subspace, treating each refresh as a coordinate change for optimizers like Adam, particularly with the LDAdam approach, yields better results. AI

IMPACT Challenges the effectiveness of current memory-efficient training techniques, potentially guiding future optimizer development for larger models.

RANK_REASON The cluster contains an academic paper detailing novel research findings on LLM training methodologies.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New research questions stability of low-rank training for LLMs

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Noel Thomas ·

    No Subspace to Track: Non-Identifiability and Optimizer State in Low-Rank Training

    arXiv:2607.05872v1 Announce Type: cross Abstract: Memory-efficient optimizers such as GaLore train large language models by projecting gradients onto a rank-r subspace recomputed every T steps, assuming this subspace is a slowly drifting object that can be tracked. We show that b…

  2. arXiv stat.ML TIER_1 English(EN) · Noel Thomas ·

    No Subspace to Track: Non-Identifiability and Optimizer State in Low-Rank Training

    Memory-efficient optimizers such as GaLore train large language models by projecting gradients onto a rank-r subspace recomputed every T steps, assuming this subspace is a slowly drifting object that can be tracked. We show that beyond a small reproducible core, there is no such …