mlsanityData to 7 Oct 2026

Nemotron-Cascade: Scaling Cascaded Reinforcement Learning for General-Purpose Reasoning Models

arXiv 2512.13607 ↗First posted 15 Dec 2025cs.CL cs.AI cs.LGcited by 45

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Building general-purpose reasoning models with reinforcement learning (RL) entails substantial cross-domain heterogeneity, including large variation in inference-time response lengths and verification latency. Such variability complicates the RL infrastructure, slows training, and makes training curriculum (e.g., response length extension) and hyperparameter selection challenging. In this work, we propose cascaded domain-wise reinforcement learning (Cascade RL) to develop Nemotron-Cascade, capable of operating in both instruct and deep thinking modes, without any performance gap relative to a thinking-only counterpart. Departing from conventional approaches that blend heterogeneous prompts from different domains, Cascade RL orchestrates sequential, domain-wise RL, reducing engineering complexity and delivering state-of-the-art performance across a wide range of benchmarks. Notably, RLHF for alignment, when used as a pre-step, boosts the model's reasoning ability far beyond mere preference optimization, and subsequent domain-wise RLVR stages rarely degrade the benchmark performance attained in earlier domains and may even improve it (see an illustration in Figure 1). Our 14B model, after RL, outperforms its SFT teacher, DeepSeek-R1-0528, on LiveCodeBench v5/v6/Pro and achieves silver-medal performance in the 2025 International Olympiad in Informatics (IOI). We transparently share our training and data recipes.

Key facts. Cited by 45 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 62 of its 114 references that are in the map. First posted on arXiv 15 Dec 2025.

Builds on

62 of 114 references.

Closest ancestors · 12

Same direction, newest first

  1. 2025Klear-Reasoner: Advancing Reasoning Capability via Gradient-Preserving Clipping Policy Optimization11 Aug
  2. 2025AceReason-Nemotron 1.1: Advancing Math and Code Reasoning through SFT and RL Synergy16 Jun
  3. 2025MiMo: Unlocking the Reasoning Potential of Language Model -- From Pretraining to Posttraining12 May
  4. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  5. 2025SWE-RL: Advancing LLM Reasoning via Reinforcement Learning on Open Software Evolution25 Feb
  6. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  7. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
  8. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning13 Jan
  9. 2024Tulu 3: Pushing Frontiers in Open Language Model Post-Training22 Nov
  10. 2024Skywork-Reward: Bag of Tricks for Reward Modeling in LLMs24 Oct
  11. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
  12. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 50

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2025Qwen3 Technical Reportcited by 8,195
  4. 2020Measuring Massive Multitask Language Understandingcited by 7,768
  5. 2020Scaling Laws for Neural Language Modelscited by 6,411
  6. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  7. 2024Qwen2.5 Technical Reportcited by 4,713
  8. 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedbackcited by 3,634
  9. 2023SWE-bench: Can Language Models Resolve Real-World GitHub Issues?cited by 3,193
  10. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
  11. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
  12. 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
38 more
  1. 2017Decoupled Weight Decay Regularizationcited by 1,722
  2. 2025s1: Simple test-time scalingcited by 1,311
  3. 2025gpt-oss-120b & gpt-oss-20b Model Cardcited by 1,258
  4. 2023Instruction-Following Evaluation for Large Language Modelscited by 1,143
  5. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,057
  6. 2025DeepSeek-V3.2: Pushing the Frontier of Open Large Language Modelscited by 755
  7. 2023The Flan Collection: Designing Data and Methods for Effective Instruction Tuningcited by 734
  8. 2024DeepSeek-V3 Technical Reportcited by 724
  9. 2023YaRN: Efficient Context Window Extension of Large Language Modelscited by 584
  10. 2025Kimi K2: Open Agentic Intelligencecited by 523
  11. 2024From Crowdsourced Data to High-Quality Benchmarks: Arena-Hard and BenchBuilder Pipelinecited by 484
  12. 2024RewardBench: Evaluating Reward Models for Language Modelingcited by 480
  13. 2025GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Modelscited by 446
  14. 2024Agentless: Demystifying LLM-based Software Engineering Agentscited by 400
  15. 2025Demystifying Long Chain-of-Thought Reasoning in LLMscited by 323
  16. 2025SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Modelcited by 307
  17. 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 277
  18. 2025SWE-smith: Scaling Data for Software Engineering Agentscited by 255
  19. 2019QASC: A Dataset for Question Answering via Sentence Compositioncited by 248
  20. 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
  21. 2025Deep Think with Confidencecited by 199
  22. 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
  23. 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systemscited by 162
  24. 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
  25. 2023TACO: Topics in Algorithmic COde generation datasetcited by 150
  26. 2024Nemotron-4 340B Technical Reportcited by 143
  27. 2025R2E-Gym: Procedural Environments and Hybrid Verifiers for Scaling Open-Weights SWE Agentscited by 140
  28. 2024OpenCoder: The Open Cookbook for Top-Tier Code Large Language Modelscited by 127
  29. 2025SWE-rebench: An Automated Pipeline for Task Collection and Decontaminated Evaluation of Software Engineering Agentscited by 127
  30. 2024NVLM: Open Frontier-Class Multimodal LLMscited by 124
  31. 2025CodeElo: Benchmarking Competition-level Code Generation of LLMs with Human-comparable Elo Ratingscited by 109
  32. 2025OpenCodeReasoning: Advancing Data Distillation for Competitive Codingcited by 106
  33. 2025NVIDIA Nemotron Nano 2: An Accurate and Efficient Hybrid Mamba-Transformer Reasoning Modelcited by 94
  34. 2025SWE-Fixer: Training Open-Source LLMs for Effective and Efficient GitHub Issue Resolutioncited by 87
  35. 2025HelpSteer3-Preference: Open Human-Annotated Preference Data across Diverse Tasks and Languagescited by 71
  36. 2025LiveCodeBench Pro: How Do Olympiad Medalists Judge LLMs in Competitive Programming?cited by 52
  37. 2025WorldPM: Scaling Human Preference Modelingcited by 12
  38. 2025RLBFF: Binary Flexible Feedback to bridge between Human Feedback & Verifiable Rewardscited by 7

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 45.

45 papers.

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By area:

  1. 2026On Data Engineering for Scaling LLM Terminal Capabilitiescited by 34
  2. 2026Nemotron 3 Super: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 33
  3. 2026Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 32
  4. 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillationcited by 28
  5. 2026SWE-rebench V2: Language-Agnostic SWE Task Collection at Scalecited by 24
  6. 2026Audio Flamingo Next: Next-Generation Open Audio-Language Models for Speech, Sound, and Musiccited by 15
  7. 2026Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillationcited by 12
  8. 2026Advancing General-Purpose Reasoning Models with Modular Gradient Surgerycited by 9
  9. 2026On the Non-decoupling of Supervised Fine-tuning and Reinforcement Learning in Post-trainingcited by 6
  10. 2026Capabilities Ain't All You Need: Measuring Propensities in AIcited by 6
  11. 2026Nanbeige4.1-3B: A Small General Model that Reasons, Aligns, and Actscited by 5
  12. 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performancecited by 5
33 more
  1. 2026Learning to Build the Environment: Self-Evolving Reasoning RL via Verifiable Environment Synthesiscited by 5
  2. 2026Answer-Conditioned Chains of Thought Degrade Verifiable-Reasoning Distillation in Large Language Modelscited by 5
  3. 2026Monitorability as a Free Gift: How RLVR Spontaneously Aligns Reasoningcited by 4
  4. 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agentscited by 4
  5. 2026Alternating Reinforcement Learning with Contextual Rubric Rewards: Beyond the Scalarization Strategycited by 4
  6. 2026Why Do Reasoning Models Lose Coverage? The Role of Data and Forks in the Roadcited by 4
  7. 2026Difficulty-Estimated Policy Optimizationcited by 3
  8. 2026Lightning OPD 2.0: Mitigating Style Bias in Cross-Teacher On-Policy Distillation for Large Reasoning Modelscited by 3
  9. 2026LoRIF: Low-Rank Influence Functions for Scalable Training Data Attributioncited by 2
  10. 2026ABCD: All Biases Come Disguisedcited by 2
  11. 2026mSFT: Addressing Dataset Mixtures Overfitting Heterogeneously in Multi-task SFTcited by 2
  12. 2026Learn from Whoever Is Right: Answer-Verified Multi-Teacher Distillation for Multi-Domain LLMscited by 2
  13. 2026The Diminishing Returns of Early-Exit Decoding in Modern LLMscited by 1
  14. 2026Which Models Are Our Models Built On? Auditing Invisible Dependencies in Modern LLMscited by 1
  15. 2026Teaching LLMs to Self-Evolve: Cultivating Core Meta-Skills with Reinforcement Learningcited by 1
  16. 2026OctoLong: Mid-Training On Cross-Repository Code Contexts Enhances Long-Context Modelingcited by 1
  17. 2026Video-MOPD: Multi-Teacher On-Policy Distillation for Video Understandingcited by 1
  18. 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVRcited by 0
  19. 2026Prescriptive Scaling Reveals the Evolution of Language Model Capabilitiescited by 0
  20. 2026Apriel-Reasoner: RL Post-Training for General-Purpose and Efficient Reasoningcited by 0
  21. 2026The Master Key Hypothesis: Unlocking Cross-Model Capability Transfer via Linear Subspace Alignmentcited by 0
  22. 2026From Accuracy to Auditability: A Survey of Determinism in Financial AI Systemscited by 0
  23. 2026GeneralThinker: Domain-General Reasoning through Likelihood-Guided Answer-Conditioned Optimizationcited by 0
  24. 2026CARE-RL: Capability-Aware Reinforcement Learning for Mitigating Cross-Domain Conflictscited by 0
  25. 2026NebulaExp-8B: An Empirical Post-Training Pipeline via Full-Scale Ablation Researchcited by 0
  26. 2026Noisy-Channel Minimum Bayes Risk Decodingcited by 0
  27. 2026From Passive Delegates to Strategic Negotiators: Reinforcing Social Reasoning in Small Language Models with SocialRLcited by 0
  28. 2026SHAPE of Chain-of-Thought in Math Reasoningcited by 0
  29. 2026MOPD-Router: Rethinking Teacher Routing in Multi-Teacher On-Policy Distillationcited by 0
  30. 2026No Pain, More Gain: Iterative Merging for Effective Multi-Teacher On-Policy Distillationcited by 0
  31. 2026EasyPPO: Stabilizing the Critic Is Keycited by 0
  32. 2026IronLLM: Forging Compact Edge-Native Language Models for Real-Time Embodied Intelligencecited by 0
  33. 2026Mixture-Trained Merging for Unified Multi-Objective Modelscited by 0

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  1. 2026Nemotron-Cascade 2: Post-Training LLMs with Cascade RL and Multi-Domain On-Policy Distillation
  2. 2025Nemotron-CrossThink: Scaling Self-Learning beyond Math Reasoning
  3. 2025Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective
  4. 2025RL-PLUS: Countering Capability Boundary Collapse of LLMs in Reinforcement Learning with Hybrid-policy Optimization
  5. 2025Can One Domain Help Others? A Data-Centric Study on Multi-Domain Reasoning via Reinforcement Learning
  6. 2025Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection
  7. 2025RLPR: Extrapolating RLVR to General Domains without Verifiers
  8. 2026DARL: Encouraging Diverse Answers for General Reasoning without Verifiers