InstructDiff: Domain-Adaptive Data Selection via Differential Entropy for Efficient LLM Fine-Tuning

Fuente: arXiv
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Autori principali: Su, Junyou, Zhu, He, Luo, Xiao, Zhang, Liyu, Zhou, Hong-Yu, Chen, Yun, Li, Peng, Liu, Yang, Chen, Guanhua
Natura: Preprint
Pubblicazione: 2026
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author Su, Junyou
Zhu, He
Luo, Xiao
Zhang, Liyu
Zhou, Hong-Yu
Chen, Yun
Li, Peng
Liu, Yang
Chen, Guanhua
author_facet Su, Junyou
Zhu, He
Luo, Xiao
Zhang, Liyu
Zhou, Hong-Yu
Chen, Yun
Li, Peng
Liu, Yang
Chen, Guanhua
contents Supervised fine-tuning (SFT) is fundamental to adapting large language models, yet training on complete datasets incurs prohibitive costs with diminishing returns. Existing data selection methods suffer from severe domain specificity: techniques optimized for general instruction-following fail on reasoning tasks, and vice versa. We observe that measuring entropy differences between base models and minimally instruction-tuned calibrated models reveals a pattern -- samples with the lowest differential entropy consistently yield optimal performance across domains, yet this principle manifests domain-adaptively: reasoning tasks favor entropy increase (cognitive expansion), while general tasks favor entropy decrease (cognitive compression). We introduce InstructDiff, a unified framework that operationalizes differential entropy as a domain-adaptive selection criterion through warmup calibration, bi-directional NLL filtering, and entropy-based ranking. Extensive experiments show that InstructDiff achieves 17\% relative improvement over full data training on mathematical reasoning and 52\% for general instruction-following, outperforming prior baselines while using only 10\% of the data.
format Preprint
id arxiv_https___arxiv_org_abs_2601_23006
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle InstructDiff: Domain-Adaptive Data Selection via Differential Entropy for Efficient LLM Fine-Tuning
Su, Junyou
Zhu, He
Luo, Xiao
Zhang, Liyu
Zhou, Hong-Yu
Chen, Yun
Li, Peng
Liu, Yang
Chen, Guanhua
Computation and Language
Supervised fine-tuning (SFT) is fundamental to adapting large language models, yet training on complete datasets incurs prohibitive costs with diminishing returns. Existing data selection methods suffer from severe domain specificity: techniques optimized for general instruction-following fail on reasoning tasks, and vice versa. We observe that measuring entropy differences between base models and minimally instruction-tuned calibrated models reveals a pattern -- samples with the lowest differential entropy consistently yield optimal performance across domains, yet this principle manifests domain-adaptively: reasoning tasks favor entropy increase (cognitive expansion), while general tasks favor entropy decrease (cognitive compression). We introduce InstructDiff, a unified framework that operationalizes differential entropy as a domain-adaptive selection criterion through warmup calibration, bi-directional NLL filtering, and entropy-based ranking. Extensive experiments show that InstructDiff achieves 17\% relative improvement over full data training on mathematical reasoning and 52\% for general instruction-following, outperforming prior baselines while using only 10\% of the data.
title InstructDiff: Domain-Adaptive Data Selection via Differential Entropy for Efficient LLM Fine-Tuning
topic Computation and Language
url https://arxiv.org/abs/2601.23006