In plain words: Training only on hand-picked good examples is secretly a form of reinforcement learning, since it maximizes a lower bound on that same goal. Weighting each example by its quality tightens the bound and beats plain curated-data training, matching fancier reinforcement learning with 66.7% on AIME 2024.
Abstract · Supervised Fine Tuning on Curated Data is Reinforcement Learning (and can be improved)
Behavior Cloning (BC) on curated (or filtered) data is the predominant paradigm for supervised fine-tuning (SFT) of large language models; as well as for imitation learning of control policies. Here, we draw on a connection between this successful strategy and the theory and practice of finding optimal policies via Reinforcement Learning (RL). Building on existing literature, we clarify that SFT can be understood as maximizing a lower bound on the RL objective in a sparse reward setting. Giving support to its often observed good performance. From this viewpoint, we realize that a small modification to SFT leads to an importance weighted variant that behaves closer to training with RL as it: i) optimizes a tighter bound to the RL objective and, ii) can improve performance compared to SFT on curated data. We refer to this variant as importance weighted supervised fine-tuning (iw-SFT). We show that it is easy to implement and can be further generalized to training with quality scored data. The resulting SFT variants are competitive with more advanced RL algorithms for large language models and for training policies in continuous control tasks. For example achieving 66.7% on the AIME 2024 dataset.
Chongli Qin, Jost Tobias Springenberg
arXiv:2507.12856 · cs.LG, cs.AI · submitted Jul 17, 2025 · updated Sep 6, 2025
abstract · pdf · html · See project website for details and code at: https://independentresearch.ai/posts/iwsft
We benchmarked closed-source (OpenAI, Google) and open-source (Qwen) models on multi-turn maze navigation (BabyAI), agentic RAG (Multi-Hop), and agentic tool use (τ-bench).
We're still running a few experiments and plan to update the post with additional results in a few days.
Looking forward to trying out importance weighting soon!
Curated Behavior Cloning: Small LLMs Can Beat Large Ones at 5-30x Lower Cost: https://www.tensorzero.com/blog/curated-behavior-cloning-sma...