Optimal Transport Depth Up-Scaling
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Abstract (arXiv)
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.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 51 of its 74 references that are in the map. First posted on arXiv 11 Aug 2025.
Builds on
51 of 74 references.
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50 most cited of 51 All 51 (JSON)
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Citing papers per year: 2025: 1; 2026: 3.
4 papers.
- 2026StateBridge: Training-free Hidden-state Alignment for Latent Communication in LLM Multi-Agent Systemscited by 5
- 2026Fundamental Reasoning Paradigms Induce Out-of-Domain Generalization in Language Modelscited by 3
- 2025MIDUS: Memory-Infused Depth Up-Scalingcited by 0
- 2026Adapting Text LLMs to Speech via Multimodal Depth Up-Scalingcited by 0
- 2026StateBridge: Training-free Hidden-state Alignment for Latent Communication in LLM Multi-Agent Systems13 Aug 2026
- 2026Adapting Text LLMs to Speech via Multimodal Depth Up-Scaling1 Apr 2026
- 2026Fundamental Reasoning Paradigms Induce Out-of-Domain Generalization in Language Models9 Feb 2026
- 2025MIDUS: Memory-Infused Depth Up-Scaling15 Dec 2025