FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gain
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Abstract (arXiv)
Supervised fine-tuning (SFT) is a standard approach to adapting large language models (LLMs) to new domains. In this work, we improve the statistical efficiency of SFT by selecting an informative subset of training examples. Specifically, for a fixed budget of training examples, which determines the computational cost of fine-tuning, we determine the most informative ones. The key idea in our method is to select examples that maximize information gain, measured by the Hessian of the log-likelihood of the LLM. We approximate it efficiently by linearizing the LLM at the last layer using multinomial logistic regression models. Our approach is computationally efficient, analyzable, and performs well empirically. We demonstrate this on several problems, and back our claims with both quantitative results and an LLM evaluation.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 31 of its 49 references that are in the map. First posted on arXiv 20 May 2025.
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31 of 49 references.
References · 31
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- 2019Selection via Proxy: Efficient Data Selection for Deep Learningcited by 339
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Citing papers per year: 2025: 5; 2026: 10.
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- 2025Utility-Diversity Aware Online Batch Selection for LLM Supervised Fine-tuningcited by 15
- 2025How Reliable is Language Model Micro-Benchmarking?cited by 9
- 2026SPICE: Submodular Penalized Information-Conflict Selection for Efficient Large Language Model Trainingcited by 7
- 2026Learning from Mistakes: Negative Reasoning Samples Enhance Out-of-Domain Generalizationcited by 5
- 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Modelscited by 3
- 2025RL-Guided Data Selection for Language Model Finetuningcited by 2
- 2025Epistemic diversity across language models mitigates knowledge collapsecited by 2
- 2026Aligning the Query Space: Greedy Information Projection for Language Model Data Selectioncited by 1
- 2025Spectral Identifiability for Interpretable Probe Geometrycited by 0
- 2026Mashup Learning: Faster Finetuning by Remixing Past Checkpointscited by 0
- 2026One Algorithm, Two Goals: Dual Scoring for Parameter and Data Selection in LLM Fine-Tuningcited by 0
- 2026Data-DPO: Direct Preference Optimization for Target Model Data Selection in LLM Post-Trainingcited by 0
- 2026Fisher-Guided Submodular Data Selection for Continual Pre-Training of Large Language Models1 Oct 2026
- 2026Online Self-Weighted Fine-Tuning1 Sep 2026
- 2026Hierarchical Data Selection via Manifold Coverage and Sparse Feature Coverage in LLM Post-training5 Aug 2026
- 2026Data-DPO: Direct Preference Optimization for Target Model Data Selection in LLM Post-Training5 Aug 2026
- 2026One Algorithm, Two Goals: Dual Scoring for Parameter and Data Selection in LLM Fine-Tuning7 May 2026
- 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Models14 Mar 2026
- 2026Aligning the Query Space: Greedy Information Projection for Language Model Data Selection14 Mar 2026
- 2026Mashup Learning: Faster Finetuning by Remixing Past Checkpoints10 Mar 2026
- 2026SPICE: Submodular Penalized Information-Conflict Selection for Efficient Large Language Model Training30 Jan 2026
- 2026Learning from Mistakes: Negative Reasoning Samples Enhance Out-of-Domain Generalization8 Jan 2026
- 2025Epistemic diversity across language models mitigates knowledge collapse17 Dec 2025
- 2025Spectral Identifiability for Interpretable Probe Geometry20 Nov 2025
3 more
- 2025Spectral Identifiability for Interpretable Probe Geometry20 Nov 2025
- 2025Utility-Diversity Aware Online Batch Selection for LLM Supervised Fine-tuningcited by 15
- 2025How Reliable is Language Model Micro-Benchmarking?cited by 9
- 2026SPICE: Submodular Penalized Information-Conflict Selection for Efficient Large Language Model Trainingcited by 7
- 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Modelscited by 3
- 2025RL-Guided Data Selection for Language Model Finetuningcited by 2
- 2025Epistemic diversity across language models mitigates knowledge collapsecited by 2
- 2026Aligning the Query Space: Greedy Information Projection for Language Model Data Selectioncited by 1
- 2026Mashup Learning: Faster Finetuning by Remixing Past Checkpointscited by 0
- 2026One Algorithm, Two Goals: Dual Scoring for Parameter and Data Selection in LLM Fine-Tuningcited by 0
- 2026Hierarchical Data Selection via Manifold Coverage and Sparse Feature Coverage in LLM Post-trainingcited by 0
- 2026Online Self-Weighted Fine-Tuningcited by 0
- 2026Fisher-Guided Submodular Data Selection for Continual Pre-Training of Large Language Modelscited by 0
- 2026Fisher-Guided Submodular Data Selection for Continual Pre-Training of Large Language Models1 Oct 2026
- 2026Online Self-Weighted Fine-Tuning1 Sep 2026
- 2026Hierarchical Data Selection via Manifold Coverage and Sparse Feature Coverage in LLM Post-training5 Aug 2026
- 2026One Algorithm, Two Goals: Dual Scoring for Parameter and Data Selection in LLM Fine-Tuning7 May 2026
- 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Models14 Mar 2026
- 2026Aligning the Query Space: Greedy Information Projection for Language Model Data Selection14 Mar 2026
- 2026Mashup Learning: Faster Finetuning by Remixing Past Checkpoints10 Mar 2026
- 2026SPICE: Submodular Penalized Information-Conflict Selection for Efficient Large Language Model Training30 Jan 2026
- 2025Epistemic diversity across language models mitigates knowledge collapse17 Dec 2025
- 2025Utility-Diversity Aware Online Batch Selection for LLM Supervised Fine-tuning19 Oct 2025
- 2025How Reliable is Language Model Micro-Benchmarking?9 Oct 2025
- 2025RL-Guided Data Selection for Language Model Finetuning30 Sep 2025