mlsanityData to 14 Oct 2026

Sparse-RL: Breaking the Memory Wall in LLM Reinforcement Learning via Stable Sparse Rollouts

arXiv 2601.10079 ↗First posted 15 Jan 2026cs.LG cs.AI cs.CLcited by 9

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Reinforcement Learning (RL) has become essential for eliciting complex reasoning capabilities in Large Language Models (LLMs). However, the substantial memory overhead of storing Key-Value (KV) caches during long-horizon rollouts acts as a critical bottleneck, often prohibiting efficient training on limited hardware. While existing KV compression techniques offer a remedy for inference, directly applying them to RL training induces a severe policy mismatch, leading to catastrophic performance collapse. To address this, we introduce Sparse-RL empowers stable RL training under sparse rollouts. We show that instability arises from a fundamental policy mismatch among the dense old policy, the sparse sampler policy, and the learner policy. To mitigate this issue, Sparse-RL incorporates Sparsity-Aware Rejection Sampling and Importance-based Reweighting to correct the off-policy bias introduced by compression-induced information loss. Experimental results show that Sparse-RL reduces rollout overhead compared to dense baselines while preserving the performance. Furthermore, Sparse-RL inherently implements sparsity-aware training, significantly enhancing model robustness during sparse inference deployment. The corresponding training data and code are publicly available on the repository.

Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 22 of its 37 references that are in the map. First posted on arXiv 15 Jan 2026.

Builds on

22 of 37 references.

Closest ancestors · 4

Same direction, newest first

  1. 2025AReaL: A Large-Scale Asynchronous Reinforcement Learning System for Language Reasoning30 May
  2. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
  3. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
  4. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 18

  1. 2022Training language models to follow instructions with human feedbackcited by 15,971
  2. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  3. 2023Efficient Streaming Language Models with Attention Sinkscited by 2,186
  4. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  5. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,136
  6. 2024SnapKV: LLM Knows What You are Looking for Before Generationcited by 880
  7. 2024KIVI: A Tuning-Free Asymmetric 2bit Quantization for KV Cachecited by 637
  8. 2024KVQuant: Towards 10 Million Context Length LLM Inference with KV Cache Quantizationcited by 591
  9. 2023Model Tells You What to Discard: Adaptive KV Cache Compression for LLMscited by 474
  10. 2023Scissorhands: Exploiting the Persistence of Importance Hypothesis for LLM KV Cache Compression at Test Timecited by 439
  11. 2024Ada-KV: Optimizing KV Cache Eviction by Adaptive Budget Allocation for Efficient LLM Inferencecited by 235
  12. 2023Evaluating the Performance of Large Language Models on GAOKAO Benchmarkcited by 186
6 more
  1. 2024ShadowKV: KV Cache in Shadows for High-Throughput Long-Context LLM Inferencecited by 134
  2. 2025AgentRL: Scaling Agentic Reinforcement Learning with a Multi-Turn, Multi-Task Frameworkcited by 62
  3. 2025When to Continue Thinking: Adaptive Thinking Mode Switching for Efficient Reasoningcited by 26
  4. 2025Beat the long tail: Distribution-Aware Speculative Decoding for RL Trainingcited by 10
  5. 2025Accelerating Large-Scale Reasoning Model Inference with Sparse Self-Speculative Decodingcited by 10
  6. 2025RLHFSpec: Breaking the Efficiency Bottleneck in RLHF Training via Adaptive Draftingcited by 5

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 9.

9 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Rethinking RL for LLM Reasoning: It's Sparse Policy Selection, Not Capability Learning
  2. 2025RollPacker: Mitigating Long-Tail Rollouts for Fast, Synchronous RL Post-Training
  3. 2025RL-PLUS: Countering Capability Boundary Collapse of LLMs in Reinforcement Learning with Hybrid-policy Optimization
  4. 2026Sparse but Critical: A Token-Level Analysis of Distributional Shifts in RLVR Fine-Tuning of LLMs
  5. 2025SPEC-RL: Accelerating On-Policy Reinforcement Learning with Speculative Rollouts
  6. 2026A Step Back: Prefix Importance Ratio Stabilizes Policy Optimization
  7. 2025Accelerating RL for LLM Reasoning with Optimal Advantage Regression
  8. 2026Addressing Performance Saturation for LLM RL via Precise Entropy Curve Control