SAE as a Crystal Ball: Interpretable Features Predict Cross-domain Transferability of LLMs without Training

Fuente: arXiv
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Main Authors: Zhang, Qi, Wang, Yifei, Wang, Xiaohan, Chai, Jiajun, Yin, Guojun, Lin, Wei, Wang, Yisen
Format: Preprint
Published: 2026
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author Zhang, Qi
Wang, Yifei
Wang, Xiaohan
Chai, Jiajun
Yin, Guojun
Lin, Wei
Wang, Yisen
author_facet Zhang, Qi
Wang, Yifei
Wang, Xiaohan
Chai, Jiajun
Yin, Guojun
Lin, Wei
Wang, Yisen
contents In recent years, pre-trained large language models have achieved remarkable success across diverse tasks. Besides the pivotal role of self-supervised pre-training, their effectiveness in downstream applications also depends critically on the post-training process, which adapts models to task-specific data and objectives. However, this process inevitably introduces model shifts that can influence performance in different domains, and how such shifts transfer remains poorly understood. To open up the black box, we propose the SAE-based Transferability Score (STS), a new metric that leverages sparse autoencoders (SAEs) to forecast post-training transferability. Taking supervised fine-tuning as an example, STS identifies shifted dimensions in SAE representations and calculates their correlations with downstream domains, enabling reliable estimation of transferability \textit{before} fine-tuning. Extensive experiments across multiple models and domains show that STS accurately predicts the transferability of supervised fine-tuning, achieving Pearson correlation coefficients above 0.7 with actual performance changes. Beyond this, we take an initial step toward extending STS to reinforcement learning. We believe that STS can serve as an {\color{black} interpretable} tool for guiding post-training strategies in LLMs. Code is available at https://github.com/PKU-ML/STS.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02908
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle SAE as a Crystal Ball: Interpretable Features Predict Cross-domain Transferability of LLMs without Training
Zhang, Qi
Wang, Yifei
Wang, Xiaohan
Chai, Jiajun
Yin, Guojun
Lin, Wei
Wang, Yisen
Artificial Intelligence
In recent years, pre-trained large language models have achieved remarkable success across diverse tasks. Besides the pivotal role of self-supervised pre-training, their effectiveness in downstream applications also depends critically on the post-training process, which adapts models to task-specific data and objectives. However, this process inevitably introduces model shifts that can influence performance in different domains, and how such shifts transfer remains poorly understood. To open up the black box, we propose the SAE-based Transferability Score (STS), a new metric that leverages sparse autoencoders (SAEs) to forecast post-training transferability. Taking supervised fine-tuning as an example, STS identifies shifted dimensions in SAE representations and calculates their correlations with downstream domains, enabling reliable estimation of transferability \textit{before} fine-tuning. Extensive experiments across multiple models and domains show that STS accurately predicts the transferability of supervised fine-tuning, achieving Pearson correlation coefficients above 0.7 with actual performance changes. Beyond this, we take an initial step toward extending STS to reinforcement learning. We believe that STS can serve as an {\color{black} interpretable} tool for guiding post-training strategies in LLMs. Code is available at https://github.com/PKU-ML/STS.
title SAE as a Crystal Ball: Interpretable Features Predict Cross-domain Transferability of LLMs without Training
topic Artificial Intelligence
url https://arxiv.org/abs/2603.02908