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Paper · arXiv

Navigating LLM Valley: From AdamW to Memory-Efficient and Matrix-Based Optimizers

Training large language models requires optimization algorithms that are not only statistically effective, but also computationally and memory efficient at extreme scale. Although Adam remains the dominant optimizer for large-scale language-model pretraining and fine-tuning, recent work has revisited nearly every component of the optimization stack: adaptive moment estimation, decoupled weight decay, memory footprint, curvature approximation, sign-based updates, large-batch stability, low-rank gradient structure, and matrix-wise orthogonalized updates. This survey reviews optimizer design for large language models through a systems-and-optimization lens. We organize the literature into cl...

AuthorsAditya Ranganath
Primary categorycs.LG
Published9 May 2026
Last updated at source9 May 2026
cs.LGcs.AImath.OC
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