mlsanityData to 14 Oct 2026

Ensembling Large Language Models with Process Reward-Guided Tree Search for Better Complex Reasoning

arXiv 2412.15797 ↗First posted 20 Dec 2024cs.CLcited by 40

On the map: LLM reasoning → Mathematical reasoning

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Abstract (arXiv)

Despite recent advances in large language models, open-source models often struggle to consistently perform well on complex reasoning tasks. Existing ensemble methods, whether applied at the token or output levels, fail to address these challenges. In response, we present Language model Ensemble with Monte Carlo Tree Search (LE-MCTS), a novel framework for process-level ensembling of language models. LE-MCTS formulates step-by-step reasoning with an ensemble of language models as a Markov decision process. In this framework, states represent intermediate reasoning paths, while actions consist of generating the next reasoning step using one of the language models selected from a predefined pool. Guided by a process-based reward model, LE-MCTS performs a tree search over the reasoning steps generated by different language models, identifying the most accurate reasoning chain. Experimental results on five mathematical reasoning benchmarks demonstrate that our approach outperforms both single language model decoding algorithms and language model ensemble methods. Notably, LE-MCTS improves performance by 3.6% and 4.3% on the MATH and MQA datasets, respectively, highlighting its effectiveness in solving complex reasoning problems.

Key facts. Cited by 40 papers in the map (data through 14 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 35 of its 51 references that are in the map. First posted on arXiv 20 Dec 2024.

Builds on

35 of 51 references.

Closest ancestors · 2

Same direction, newest first

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models5 Feb
  2. 2023OVM, Outcome-supervised Value Models for Planning in Mathematical Reasoning16 Nov

Other references · 33

  1. 2024The Llama 3 Herd of Modelscited by 14,715
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
  4. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  5. 2023Let's Verify Step by Stepcited by 3,789
  6. 2020Learning to summarize from human feedbackcited by 2,588
  7. 2020DeBERTa: Decoding-enhanced BERT with Disentangled Attentioncited by 2,181
  8. 2024Gemma 2: Improving Open Language Models at a Practical Sizecited by 1,998
  9. 2020Leveraging Passage Retrieval with Generative Models for Open Domain Question Answeringcited by 1,210
  10. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 928
  11. 2022Solving math word problems with process- and outcome-based feedbackcited by 901
  12. 2023Graph of Thoughts: Solving Elaborate Problems with Large Language Modelscited by 886
21 more
  1. 2021Are NLP Models really able to Solve Simple Math Word Problems?cited by 878
  2. 2019Plug and Play Language Models: A Simple Approach to Controlled Text Generationcited by 799
  3. 2017Mastering Chess and Shogi by Self-Play with a General Reinforcement Learning Algorithmcited by 734
  4. 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 662
  5. 2017Program Induction by Rationale Generation : Learning to Solve and Explain Algebraic Word Problemscited by 650
  6. 2022Contrastive Decoding: Open-ended Text Generation as Optimizationcited by 609
  7. 2023LLM-Blender: Ensembling Large Language Models with Pairwise Ranking and Generative Fusioncited by 564
  8. 2021DExperts: Decoding-Time Controlled Text Generation with Experts and Anti-Expertscited by 441
  9. 2024Mixture-of-Agents Enhances Large Language Model Capabilitiescited by 438
  10. 2021FUDGE: Controlled Text Generation With Future Discriminatorscited by 376
  11. 2024ReST-MCTS*: LLM Self-Training via Process Reward Guided Tree Searchcited by 344
  12. 2021A Diverse Corpus for Evaluating and Developing English Math Word Problem Solverscited by 318
  13. 2023Alphazero-like Tree-Search can Guide Large Language Model Decoding and Trainingcited by 295
  14. 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoningcited by 102
  15. 2022NaturalProver: Grounded Mathematical Proof Generation with Language Modelscited by 72
  16. 2024Pack of LLMs: Model Fusion at Test-Time via Perplexity Optimizationcited by 56
  17. 2024Bridging the Gap between Different Vocabularies for LLM Ensemblecited by 45
  18. 2021PPL-MCTS: Constrained Textual Generation Through Discriminator-Guided MCTS Decodingcited by 33
  19. 2024Purifying Large Language Models by Ensembling a Small Language Modelcited by 25
  20. 2024Cool-Fusion: Fuse Large Language Models without Trainingcited by 12
  21. 2024Mixture-of-Prompt-Experts for Multi-modal Semantic Understandingcited by 7

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 1; 2025: 22; 2026: 17.

40 papers.

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  1. 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 384
  2. 2024Mulberry: Empowering MLLM with o1-like Reasoning and Reflection via Collective Monte Carlo Tree Searchcited by 175
  3. 2025LLM Post-Training: A Deep Dive into Reasoning Large Language Modelscited by 135
  4. 2025Harnessing Multiple Large Language Models: A Survey on LLM Ensemblecited by 86
  5. 2025Wider or Deeper? Scaling LLM Inference-Time Compute with Adaptive Branching Tree Searchcited by 51
  6. 2025A Survey of Test-Time Compute: From Intuitive Inference to Deliberate Reasoningcited by 40
  7. 2025Fine-Grained Preference Optimization Improves Spatial Reasoning in VLMscited by 32
  8. 2025Theorem Prover as a Judge for Synthetic Data Generationcited by 14
  9. 2025Sailing by the Stars: A Survey on Reward Models and Learning Strategies for Learning from Rewardscited by 14
  10. 2025A Survey on Feedback-based Multi-step Reasoning for Large Language Models on Mathematicscited by 11
  11. 2025CMCTS: A Constrained Monte Carlo Tree Search Framework for Mathematical Reasoning in Large Language Modelcited by 9
  12. 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Surveycited by 8
28 more
  1. 2026ICaRus: Identical Cache Reuse for Efficient Multi Model Inferencecited by 8
  2. 2025Evaluation of LLMs for mathematical problem solvingcited by 7
  3. 2026Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluationcited by 7
  4. 2025Unearthing Gems from Stones: Policy Optimization with Negative Sample Augmentation for LLM Reasoningcited by 6
  5. 2025GEMMAS: Graph-based Evaluation Metrics for Multi Agent Systemscited by 6
  6. 2025Simultaneous Multi-objective Alignment Across Verifiable and Non-verifiable Rewardscited by 6
  7. 2026EvoIdeator: Evolving Scientific Ideas through Checklist-Grounded Reinforcement Learningcited by 6
  8. 2025Beyond the First Error: Process Reward Models for Reflective Mathematical Reasoningcited by 4
  9. 2025Scoring, Reasoning, and Selecting the Best! Ensembling Large Language Models via a Peer-Review Processcited by 4
  10. 2025MARINE: Theoretical Optimization and Design for Multi-Agent Recursive IN-context Enhancementcited by 3
  11. 2026Policy of Thoughts: Scaling Test-Time Training for LLM Reasoning via Online Policy Evolutioncited by 3
  12. 2025Reasoning-Intensive Regressioncited by 2
  13. 2025Less Diverse, Less Safe: The Indirect But Pervasive Risk of Test-Time Scaling in Large Language Modelscited by 2
  14. 2025WebRouter: Query-specific Router via Variational Information Bottleneck for Cost-sensitive Web Agentcited by 2
  15. 2025Beyond Fast and Slow: Cognitive-Inspired Elastic Reasoning for Large Language Modelscited by 2
  16. 2026Learning to Correct: Calibrated Reinforcement Learning for Multi-Attempt Chain-of-Thoughtcited by 2
  17. 2026Reasoning Consensus: Structural Ensembling of LLM Reasoning via Weighted DAG Aggregationcited by 2
  18. 2026Global-Local Monte Carlo Tree Search in Vision-Language Models for Text-to-3D Indoor Scene Generationcited by 1
  19. 2026Caterpillar of Thoughts: The Optimal Test-Time Algorithm for Large Language Modelscited by 0
  20. 2026Distilling Long-CoT Reasoning through Collaborative Step-wise Multi-Teacher Decodingcited by 0
  21. 2026Long Live The Balance: Information Bottleneck Driven Tree-based Policy Optimizationcited by 0
  22. 2026The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modescited by 0
  23. 2026TsuGO: Probing Search Efficiency in LLM Reasoning via Go Life-and-Death Problemscited by 0
  24. 2026When LLM Meets Tree Search: A Systematic View of Inference as Search in Large Language Modelscited by 0
  25. 2026GLIDE: Generalized Layer-wise Intrinsic Distributional Evaluation for Heterogeneous LLM Agentscited by 0
  26. 2026HyperMCTS: Hypergraph-Augmented MCTS for Long-Horizon LLM Agentscited by 0
  27. 2026Which Models Work Well Together? Measuring Heterogeneity for LLM Team Selectioncited by 0
  28. 2026Frustratingly Easy Majority Voting Using Length Conditioningcited by 0

Similar, not cited

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  1. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervision
  2. 2025Enhancing Reasoning through Process Supervision with Monte Carlo Tree Search
  3. 2023No Train Still Gain. Unleash Mathematical Reasoning of Large Language Models with Monte Carlo Tree Search Guided by Energy Function
  4. 2024Interpretable Contrastive Monte Carlo Tree Search Reasoning
  5. 2025SIGMA: Refining Large Language Model Reasoning via Sibling-Guided Monte Carlo Augmentation
  6. 2025Enhancing Logical Reasoning in Language Models via Symbolically-Guided Monte Carlo Process Supervision
  7. 2024MC-NEST: Enhancing Mathematical Reasoning in Large Language Models leveraging a Monte Carlo Self-Refine Tree
  8. 2025I-MCTS: Enhancing Agentic AutoML via Introspective Monte Carlo Tree Search