mlsanityData to 14 Oct 2026

On Distinguishing Capability Elicitation from Capability Creation in Post-Training: A Free-Energy Perspective

arXiv 2605.08368 ↗First posted 8 May 2026cs.AI cond-mat.stat-mech cs.LGcited by 0

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Abstract (arXiv)

Debates about large language model post-training often treat supervised fine-tuning (SFT) as imitation and reinforcement learning (RL) as discovery. But this distinction is too coarse. What matters is whether a training procedure increases the probability of behaviors the pretrained model could already produce, or whether it changes what the model can practically reach. We argue that post-training research should distinguish between capability elicitation and capability creation. We make this distinction operational by introducing the notion of accessible support: the set of behaviors that a model can practically produce under finite budgets. Post-training that reweights behaviors within this support is capability elicitation; whereas changing the support itself corresponds to capability creation. We develop this argument through a free-energy view of post-training. SFT and RL can both be seen as reweighting a pretrained reference distribution, only with different external signals. Demonstration signals define low-energy behavior for SFT, and reward signals define low-energy behavior for RL. When the update remains close to the base model, the main effect is local reweighting, not capability creation. Within this framework, the central question is no longer whether post-training is framed as SFT or RL, but whether it reweights behaviors already within reach, or instead expands the model's reachable behavioral space through search, interaction, tool use, or the incorporation of new information.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 25 of its 36 references that are in the map. First posted on arXiv 8 May 2026.

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References · 25

  1. 2020Language Models are Few-Shot Learnerscited by 32,419
  2. 2022Training language models to follow instructions with human feedbackcited by 15,971
  3. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
  4. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 8,065
  5. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  6. 2023Let's Verify Step by Stepcited by 3,789
  7. 2021Finetuned Language Models Are Zero-Shot Learnerscited by 3,780
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  10. 2019Fine-Tuning Language Models from Human Preferencescited by 2,150
  11. 2023Code Llama: Open Foundation Models for Codecited by 2,139
  12. 2023A General Theoretical Paradigm to Understand Learning from Human Preferencescited by 912
13 more
  1. 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 672
  2. 2023Instruction Tuning for Large Language Models: A Surveycited by 623
  3. 2018Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Reviewcited by 482
  4. 2024OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Datacited by 200
  5. 2022RL with KL penalties is better viewed as Bayesian inferencecited by 135
  6. 2024Reinforcement Learning Enhanced LLMs: A Surveycited by 71
  7. 2024A Critical Evaluation of AI Feedback for Aligning Large Language Modelscited by 36
  8. 2022The Free Energy Principle for Perception and Action: A Deep Learning Perspectivecited by 24
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  10. 2026Stagewise Reinforcement Learning and the Geometry of the Regret Landscapecited by 4
  11. 2026Removing Sandbagging in LLMs by Training with Weak Supervisioncited by 4
  12. 2026Supervised Fine-Tuning versus Reinforcement Learning: A Study of Post-Training Methods for Large Language Modelscited by 3
  13. 2025Eliciting Fine-Tuned Transformer Capabilities via Inference-Time Techniquescited by 1

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  3. 2023Mechanistically analyzing the effects of fine-tuning on procedurally defined tasks
  4. 2025Chasing the Tail: Effective Rubric-based Reward Modeling for Large Language Model Post-Training
  5. 2025Retaining by Doing: The Role of On-Policy Data in Mitigating Forgetting
  6. 2026Capability Self-Assessment in Large Language Models
  7. 2026Demystifying Reinforcement Learning Post-Training of Language Models
  8. 2026Post-Training Leaves Behavioral Shadows on Unrelated Decisions