CPR for LLMs: Critical-Point Routing against Catastrophic Forgetting in Domain Adaptation
cs.CL, cs.AI
Submitted: 2026-08-31
Updated: 2026-10-08
Code: https://github.com/kwang-min-ki/CPR
License: http://creativecommons.org/licenses/by/4.0/
The gist: Supervised fine-tuning (SFT) is the de facto standard for adapting large language models (LLMs) to target domains, but it often degrades the model's general capabilities, a phenomenon known as
Terminology
Abstract
Supervised fine-tuning (SFT) is the de facto standard for adapting large language models (LLMs) to target domains, but it often degrades the model's general capabilities, a phenomenon known as catastrophic forgetting. Existing approaches typically modify the SFT loss to mitigate forgetting, but they inevitably operate along a domain-generality trade-off. In this work, we step outside this trade-off by decoupling the two capabilities at the model level: we keep the original base model for general capability, and selectively invoke the SFT expert only when domain-specific knowledge is required. Specifically, we propose CPR (Critical-Point Routing), a token-level routing framework between a base model and its expert derivative, based on critical tokens where the base model fails but the expert succeeds. We train a lightweight hierarchical router that estimates the expert-call probability per token, and pair it with a tailored inference procedure that combines momentum smoothing and threshold gating. Across diverse model-domain configurations, CPR achieves state-of-the-art across all settings, surpassing SFT expert by 1.4-5.5% in domain performance while recovering its general-capability drop from 3.4-14.5% to at most 0.5%, with minimal overhead from invoking the expert on only one-third of tokens.
Sources
- Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge
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- The Llama 3 Herd of Models
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- Gemma 3 Technical Report
- Token-Level LLM Collaboration via FusionRoute
- Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement
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