Stable Language Model Pre-training by Reducing Embedding Variability
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Abstract (arXiv)
Stable pre-training is essential for achieving better-performing language models. However, tracking pre-training stability by calculating gradient variance at every step is impractical due to the significant computational costs. We explore Token Embedding Variability (TEV) as a simple and efficient proxy for assessing pre-training stability in language models with pre-layer normalization, given that shallower layers are more prone to gradient explosion (section 2.2). Moreover, we propose Multi-head Low-Rank Attention (MLRA) as an architecture to alleviate such instability by limiting the exponential growth of output embedding variance, thereby preventing the gradient explosion (section 3.2). Empirical results on GPT-2 with MLRA demonstrate increased stability and lower perplexity, particularly in deeper models.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 39 of its 53 references that are in the map. First posted on arXiv 12 Sep 2024.
Builds on
39 of 53 references.
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Built on by
Citing papers per year: 2024: 1; 2025: 3; 2026: 2.
6 papers.
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- 2025Peri-LN: Revisiting Normalization Layer in the Transformer Architecturecited by 32
- 2024Cross-lingual Transfer of Reward Models in Multilingual Alignmentcited by 17
- 2025Exploiting Vocabulary Frequency Imbalance in Language Model Pre-trainingcited by 7
- 2026On the Spectral Flattening of Quantized Embeddingscited by 0
- 2026Continuity and Ordinality Matter: Constraining Time Series Tokens for Effective Time Series Analysis with Large Language Modelscited by 0
- 2026Continuity and Ordinality Matter: Constraining Time Series Tokens for Effective Time Series Analysis with Large Language Models22 May 2026
- 2026On the Spectral Flattening of Quantized Embeddings1 Feb 2026
- 2025Exploiting Vocabulary Frequency Imbalance in Language Model Pre-training21 Aug 2025
- 2025PolyPythias: Stability and Outliers across Fifty Language Model Pre-Training Runs12 Mar 2025
- 2025Peri-LN: Revisiting Normalization Layer in the Transformer Architecture4 Feb 2025
- 2024Cross-lingual Transfer of Reward Models in Multilingual Alignment23 Oct 2024