mlsanityData to 7 Oct 2026

Goldilocks RL: Tuning Task Difficulty to Escape Sparse Rewards for Reasoning

arXiv 2602.14868 ↗First posted 16 Feb 2026cs.LG cs.AIcited by 2

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Reinforcement learning has emerged as a powerful paradigm for unlocking reasoning capabilities in language models. However, relying on sparse rewards makes this process highly sample-inefficient, as models must navigate vast search spaces with minimal feedback. While classic curriculum learning aims to mitigate this by ordering data based on complexity, prior works have primarily targeted small datasets and do not directly transfer to the large-scale settings typical of modern language model training. Furthermore, the right ordering for a specific model is often unclear. To address this, we propose Goldilocks, an adaptive data-selection strategy that uses a Selector network to predict the standard deviation of rewards across the model's rollouts for each candidate question. The Selector prioritizes questions with high predicted reward variability, corresponding to questions that are neither too easy nor too hard for the model's current capabilities (Goldilocks principle), while training the model with GRPO. By leveraging the model's performance on seen samples, the Selector continuously adapts to the model's evolving abilities. Across the OpenMathReasoning and Polaris datasets, Goldilocks consistently improves over standard GRPO, requiring up to 78% fewer optimization steps to reach the corresponding GRPO performance.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 37 of its 47 references that are in the map. First posted on arXiv 16 Feb 2026.

Builds on

37 of 47 references.

Closest ancestors · 11

Same direction, newest first

  1. 2025Reinforce-Ada: An Adaptive Sampling Framework under Non-linear RL Objectives6 Oct
  2. 2025Can Prompt Difficulty be Online Predicted for Accelerating RL Finetuning of Reasoning Models?7 Jul
  3. 2025Curriculum Reinforcement Learning from Easy to Hard Tasks Improves LLM Reasoning7 Jun
  4. 2025Self-Evolving Curriculum for LLM Reasoning20 May
  5. 2025DUMP: Automated Distribution-Level Curriculum Learning for RL-based LLM Post-training13 Apr
  6. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  7. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  8. 2024Training Large Language Models for Reasoning through Reverse Curriculum Reinforcement Learning8 Feb
  9. 2023Let's Verify Step by Step31 May
  10. 2022Solving math word problems with process- and outcome-based feedback25 Nov
  11. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 26

  1. 2022Training language models to follow instructions with human feedbackcited by 15,712
  2. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  3. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  4. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  5. 2025Qwen3 Technical Reportcited by 8,195
  6. 2024Qwen2.5 Technical Reportcited by 4,713
  7. 2022Large Language Models are Zero-Shot Reasonerscited by 4,323
  8. 2022Training Compute-Optimal Large Language Modelscited by 2,927
  9. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,928
  10. 2022STaR: Bootstrapping Reasoning With Reasoningcited by 895
  11. 2021Show Your Work: Scratchpads for Intermediate Computation with Language Modelscited by 871
  12. 2024Phi-4 Technical Reportcited by 675
14 more
  1. 20242 OLMo 2 Furiouscited by 302
  2. 2017Teacher-Student Curriculum Learningcited by 197
  3. 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
  4. 2025The Art of Scaling Reinforcement Learning Compute for LLMscited by 91
  5. 2023OVM, Outcome-supervised Value Models for Planning in Mathematical Reasoningcited by 84
  6. 2025T1: Advancing Language Model Reasoning through Reinforcement Learning and Inference Scalingcited by 77
  7. 2025Prompt Curriculum Learning for Efficient LLM Post-Trainingcited by 40
  8. 2024How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpadcited by 35
  9. 2023Vanishing Gradients in Reinforcement Finetuning of Language Modelscited by 26
  10. 2025Knapsack RL: Unlocking Exploration of LLMs via Optimizing Budget Allocationcited by 21
  11. 2025RL for Reasoning by Adaptively Revealing Rationalescited by 15
  12. 2025BOTS: A Unified Framework for Bayesian Online Task Selection in LLM Reinforcement Finetuningcited by 12
  13. 2025SaFeR-VLM: Toward Safety-aware Fine-grained Reasoning in Multimodal Modelscited by 8
  14. 2025AbstRaL: Augmenting LLMs' Reasoning by Reinforcing Abstract Thinkingcited by 4

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Unlocking the Unsolvable: Teacher-Guided Curriculum for Data-Efficient RLVR
  2. 2026Beyond GRPO and On-Policy Distillation: An Empirical Sparse-to-Dense Reward Principle for Language-Model Post-Training
  3. 2025From Data-Centric to Sample-Centric: Enhancing LLM Reasoning via Progressive Optimization
  4. 2025Learning to Reason at the Frontier of Learnability
  5. 2025A Minimalist Approach to LLM Reasoning: from Rejection Sampling to Reinforce
  6. 2025SPaCe: Unlocking Sample-Efficient Large Language Models Training With Self-Pace Curriculum Learning
  7. 2025CurES: From Gradient Analysis to Efficient Curriculum Learning for Reasoning LLMs
  8. 2025Train Long, Think Short: Curriculum Learning for Efficient Reasoning