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This research introduces Optimal Transport Depth Up-Scaling (OT-DUS), a method that uses optimal transport theory to align neurons when inserting new layers into pre-trained LLMs, effectively solving permutation mismatch issues in depth up-scaling. By optimizing layer insertion strategies, the approach achieves superior performance and training efficiency across various model sizes and families without requiring full retraining from scratch.
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Optimal Transport Depth Up-Scaling

arXiv2 min read

arXiv:2508.08011v2 Announce Type: replace Abstract: Pre-training Large Language Models (LLMs) from scratch at larger scales yields remarkable performance but incurs substantially high training costs. Depth up-scaling provides an efficient alternative by inserting new layers into a pre-trained LLM, avoiding training from scratch. However, most existing methods copying or averaging base layers for new layer, which misalign functionally corresponding neurons, leading to neuron permutation mismatch that harms performance. To address this issue, we propose Optimal Transport Depth Up-Scaling (OT-DUS), which leverages Optimal Transport (OT) theory to align and fuse functionally corresponding neurons module by module in adjacent base layers for new layer construction. OT-DUS achieves better overall performance in both general and specialized domains than existing methods for continual pre-training and supervised fine-tuning across different model sizes and model families. Our analysis of insertion strategies further finds that inserting new layers at higher positions yields not only stronger performance but also improved training efficiency.

Abstract:Pre-training Large Language Models (LLMs) from scratch at larger scales yields remarkable performance but incurs substantially high training costs. Depth up-scaling provides an efficient alternative by inserting new layers into a pre-trained LLM, avoiding training from scratch. However, most existing methods copying or averaging base layers for new layer, which misalign functionally corresponding neurons, leading to neuron permutation mismatch that harms performance. To address this issue, we propose Optimal Transport Depth Up-Scaling (OT-DUS), which leverages Optimal Transport (OT) theory to align and fuse functionally corresponding neurons module by module in adjacent base layers for new layer construction. OT-DUS achieves better overall performance in both general and specialized domains than existing methods for continual pre-training and supervised fine-tuning across different model sizes and model families. Our analysis of insertion strategies further finds that inserting new layers at higher positions yields not only stronger performance but also improved training efficiency.

Computation and Language (cs.CL)

arXiv:2508.08011 [cs.CL]

(or arXiv:2508.08011v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2508.08011 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 241 words

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