Nemotron-Cascade: Scaling Cascaded Reinforcement Learning for General-Purpose Reasoning Models
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
- 2025Klear-Reasoner: Advancing Reasoning Capability via Gradient-Preserving Clipping Policy Optimization11 Aug
- 2025AceReason-Nemotron 1.1: Advancing Math and Code Reasoning through SFT and RL Synergy16 Jun
- 2025MiMo: Unlocking the Reasoning Potential of Language Model -- From Pretraining to Posttraining12 May
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025SWE-RL: Advancing LLM Reasoning via Reinforcement Learning on Open Software Evolution25 Feb
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
- 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning13 Jan
- 2024Tulu 3: Pushing Frontiers in Open Language Model Post-Training22 Nov
- 2024Skywork-Reward: Bag of Tricks for Reward Modeling in LLMs24 Oct
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 50
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2025Qwen3 Technical Reportcited by 8,195
- 2020Measuring Massive Multitask Language Understandingcited by 7,768
- 2020Scaling Laws for Neural Language Modelscited by 6,411
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2024Qwen2.5 Technical Reportcited by 4,713
- 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedbackcited by 3,634
- 2023SWE-bench: Can Language Models Resolve Real-World GitHub Issues?cited by 3,193
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
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- 2017Decoupled Weight Decay Regularizationcited by 1,722
- 2025s1: Simple test-time scalingcited by 1,311
- 2025gpt-oss-120b & gpt-oss-20b Model Cardcited by 1,258
- 2023Instruction-Following Evaluation for Large Language Modelscited by 1,143
- 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,057
- 2025DeepSeek-V3.2: Pushing the Frontier of Open Large Language Modelscited by 755
- 2023The Flan Collection: Designing Data and Methods for Effective Instruction Tuningcited by 734
- 2024DeepSeek-V3 Technical Reportcited by 724
- 2023YaRN: Efficient Context Window Extension of Large Language Modelscited by 584
- 2025Kimi K2: Open Agentic Intelligencecited by 523
- 2024From Crowdsourced Data to High-Quality Benchmarks: Arena-Hard and BenchBuilder Pipelinecited by 484
- 2024RewardBench: Evaluating Reward Models for Language Modelingcited by 480
- 2025GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Modelscited by 446
- 2024Agentless: Demystifying LLM-based Software Engineering Agentscited by 400
- 2025Demystifying Long Chain-of-Thought Reasoning in LLMscited by 323
- 2025SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Modelcited by 307
- 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 277
- 2025SWE-smith: Scaling Data for Software Engineering Agentscited by 255
- 2019QASC: A Dataset for Question Answering via Sentence Compositioncited by 248
- 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
- 2025Deep Think with Confidencecited by 199
- 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
- 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systemscited by 162
- 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
- 2023TACO: Topics in Algorithmic COde generation datasetcited by 150
- 2024Nemotron-4 340B Technical Reportcited by 143
- 2025R2E-Gym: Procedural Environments and Hybrid Verifiers for Scaling Open-Weights SWE Agentscited by 140
- 2024OpenCoder: The Open Cookbook for Top-Tier Code Large Language Modelscited by 127
- 2025SWE-rebench: An Automated Pipeline for Task Collection and Decontaminated Evaluation of Software Engineering Agentscited by 127
- 2024NVLM: Open Frontier-Class Multimodal LLMscited by 124
- 2025CodeElo: Benchmarking Competition-level Code Generation of LLMs with Human-comparable Elo Ratingscited by 109
- 2025OpenCodeReasoning: Advancing Data Distillation for Competitive Codingcited by 106
- 2025NVIDIA Nemotron Nano 2: An Accurate and Efficient Hybrid Mamba-Transformer Reasoning Modelcited by 94
- 2025SWE-Fixer: Training Open-Source LLMs for Effective and Efficient GitHub Issue Resolutioncited by 87
- 2025HelpSteer3-Preference: Open Human-Annotated Preference Data across Diverse Tasks and Languagescited by 71
- 2025LiveCodeBench Pro: How Do Olympiad Medalists Judge LLMs in Competitive Programming?cited by 52
- 2025WorldPM: Scaling Human Preference Modelingcited by 12
- 2025RLBFF: Binary Flexible Feedback to bridge between Human Feedback & Verifiable Rewardscited by 7
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Citing papers per year: 2026: 45.
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- 2026Audio Flamingo Next: Next-Generation Open Audio-Language Models for Speech, Sound, and Music13 Apr 2026
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- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agents10 Feb 2026
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- 2026Advancing General-Purpose Reasoning Models with Modular Gradient Surgery2 Feb 2026
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- 2026Why Do Reasoning Models Lose Coverage? The Role of Data and Forks in the Roadcited by 4
- 2026Difficulty-Estimated Policy Optimizationcited by 3
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- 2026Teaching LLMs to Self-Evolve: Cultivating Core Meta-Skills with Reinforcement Learning24 Jul 2026
- 2026Answer-Conditioned Chains of Thought Degrade Verifiable-Reasoning Distillation in Large Language Models16 Jul 2026
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- 2026Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning12 Jun 2026
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- 2026GeneralThinker: Domain-General Reasoning through Likelihood-Guided Answer-Conditioned Optimization27 May 2026
- 2026Why Do Reasoning Models Lose Coverage? The Role of Data and Forks in the Road16 May 2026
- 2026Learning to Build the Environment: Self-Evolving Reasoning RL via Verifiable Environment Synthesis14 May 2026
- 2026Lightning OPD: Efficient Post-Training for Large Reasoning Models with Offline On-Policy Distillation14 Apr 2026
- 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performance14 Apr 2026
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- 2026SWE-rebench V2: Language-Agnostic SWE Task Collection at Scale27 Feb 2026
- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agents10 Feb 2026
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- 2026No Pain, More Gain: Iterative Merging for Effective Multi-Teacher On-Policy Distillation28 Sep 2026
- 2026MOPD-Router: Rethinking Teacher Routing in Multi-Teacher On-Policy Distillation25 Sep 2026
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- 2026Learn from Whoever Is Right: Answer-Verified Multi-Teacher Distillation for Multi-Domain LLMs2 Sep 2026
- 2026Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillation19 Aug 2026
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- 2025Can One Domain Help Others? A Data-Centric Study on Multi-Domain Reasoning via Reinforcement Learning
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