Better Embeddings with Coupled Adam
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Abstract (arXiv)
Despite their remarkable capabilities, LLMs learn word representations that exhibit the undesirable yet poorly understood feature of anisotropy. In this paper, we argue that the second moment in Adam is a cause of anisotropic embeddings, and suggest a modified optimizer called Coupled Adam to mitigate the problem. Our experiments demonstrate that Coupled Adam significantly improves the quality of embeddings, while also leading to better upstream and downstream performance on large enough datasets.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 19 of its 36 references that are in the map. First posted on arXiv 12 Feb 2025.
Builds on
19 of 36 references.
References · 19
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7 more
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Citing papers per year: 2026: 4.
4 papers.
- 2026Why Adaptive Optimizers Underestimate Rare Tokens29 Sep 2026
- 2026Weight Tying Biases Token Embeddings Towards the Output Space27 Mar 2026
- 2026Disentangling Geometry, Performance, and Training in Language Models24 Feb 2026
- 2026Output Embedding Centering for Stable LLM Pretraining5 Jan 2026