mlsanityData to 14 Oct 2026

Athena: Enhancing Multimodal Reasoning with Data-efficient Process Reward Models

arXiv 2506.09532 ↗First posted 11 Jun 2025cs.LG cs.AI cs.CLcited by 16

On the map: LLM reasoning → Reinforcement learning for reasoning

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Abstract (arXiv)

We present Athena-PRM, a multimodal process reward model (PRM) designed to evaluate the reward score for each step in solving complex reasoning problems. Developing high-performance PRMs typically demands significant time and financial investment, primarily due to the necessity for step-level annotations of reasoning steps. Conventional automated labeling methods, such as Monte Carlo estimation, often produce noisy labels and incur substantial computational costs. To efficiently generate high-quality process-labeled data, we propose leveraging prediction consistency between weak and strong completers as a criterion for identifying reliable process labels. Remarkably, Athena-PRM demonstrates outstanding effectiveness across various scenarios and benchmarks with just 5,000 samples. Furthermore, we also develop two effective strategies to improve the performance of PRMs: ORM initialization and up-sampling for negative data. We validate our approach in three specific scenarios: verification for test time scaling, direct evaluation of reasoning step correctness, and reward ranked fine-tuning. Our Athena-PRM consistently achieves superior performance across multiple benchmarks and scenarios. Notably, when using Qwen2.5-VL-7B as the policy model, Athena-PRM enhances performance by 10.2 points on WeMath and 7.1 points on MathVista for test time scaling. Furthermore, Athena-PRM sets the state-of-the-art (SoTA) results in VisualProcessBench and outperforms the previous SoTA by 3.9 F1-score, showcasing its robust capability to accurately assess the correctness of the reasoning step. Additionally, utilizing Athena-PRM as the reward model, we develop Athena-7B with reward ranked fine-tuning and outperforms baseline with a significant margin on five benchmarks.

Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 60 of its 72 references that are in the map. First posted on arXiv 11 Jun 2025.

Builds on

60 of 72 references.

Closest ancestors · 13

Same direction, newest first

  1. 2025Process Reinforcement through Implicit Rewards3 Feb
  2. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  3. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
  4. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning13 Jan
  5. 2024Free Process Rewards without Process Labels2 Dec
  6. 2024Process Reward Model with Q-Value Rankings15 Oct
  7. 2024Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning10 Oct
  8. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervision5 Jun
  9. 2024RLHF Workflow: From Reward Modeling to Online RLHF13 May
  10. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
  11. 2023Let's Verify Step by Step31 May
  12. 2023RAFT: Reward rAnked FineTuning for Generative Foundation Model Alignment13 Apr
1 more
  1. 2022Solving math word problems with process- and outcome-based feedback25 Nov

Other references · 47

  1. 2020Language Models are Few-Shot Learnerscited by 32,419
  2. 2022Training language models to follow instructions with human feedbackcited by 15,971
  3. 2024The Llama 3 Herd of Modelscited by 14,715
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
  5. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  6. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  7. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  8. 2023Visual Instruction Tuningcited by 7,869
  9. 2020Scaling Laws for Neural Language Modelscited by 6,586
  10. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,944
  11. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
  12. 2025Qwen2.5-VL Technical Reportcited by 5,587
35 more
  1. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  2. 2024Qwen2.5 Technical Reportcited by 4,942
  3. 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedbackcited by 3,720
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  5. 2019The Curious Case of Neural Text Degenerationcited by 2,916
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  10. 2022Learn to Explain: Multimodal Reasoning via Thought Chains for Science Question Answeringcited by 1,919
  11. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,614
  12. 2024Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scalingcited by 1,599
  13. 2022ChartQA: A Benchmark for Question Answering about Charts with Visual and Logical Reasoningcited by 1,479
  14. 2025s1: Simple test-time scalingcited by 1,341
  15. 2020DocVQA: A Dataset for VQA on Document Imagescited by 1,317
  16. 2019ZeRO: Memory Optimizations Toward Training Trillion Parameter Modelscited by 1,301
  17. 2024MiniCPM-V: A GPT-4V Level MLLM on Your Phonecited by 1,079
  18. 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?cited by 586
  19. 2024Measuring Multimodal Mathematical Reasoning with MATH-Vision Datasetcited by 526
  20. 2024VLMEvalKit: An Open-Source Toolkit for Evaluating Large Multi-Modality Modelscited by 455
  21. 2023Scaling Relationship on Learning Mathematical Reasoning with Large Language Modelscited by 427
  22. 2021Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoningcited by 383
  23. 2023Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Modelscited by 349
  24. 2024We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?cited by 286
  25. 2024Iterative Reasoning Preference Optimizationcited by 246
  26. 2024LogicVista: Multimodal LLM Logical Reasoning Benchmark in Visual Contextscited by 245
  27. 2024Enhancing the Reasoning Ability of Multimodal Large Language Models via Mixed Preference Optimizationcited by 239
  28. 2024DynaMath: A Dynamic Visual Benchmark for Evaluating Mathematical Reasoning Robustness of Vision Language Modelscited by 146
  29. 2025VisualPRM: An Effective Process Reward Model for Multimodal Reasoningcited by 139
  30. 2022UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expressioncited by 137
  31. 2024Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Modelscited by 133
  32. 2022CLEVR-Math: A Dataset for Compositional Language, Visual and Mathematical Reasoningcited by 120
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  34. 2024AutoPSV: Automated Process-Supervised Verifiercited by 30
  35. 2024B-STaR: Monitoring and Balancing Exploration and Exploitation in Self-Taught Reasonerscited by 26

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 10; 2026: 6.

16 papers.

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  1. 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 38
  2. 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoningcited by 14
  3. 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Surveycited by 8
  4. 2025OFFSIDE: Benchmarking Unlearning Misinformation in Multimodal Large Language Modelscited by 8
  5. 2025TIM-PRM: Verifying multimodal reasoning with Tool-Integrated PRMcited by 8
  6. 2025AgenticMath: Enhancing LLM Reasoning via Agentic-based Math Data Generationcited by 7
  7. 2026Grounding the Score: Explicit Visual Premise Verification for Reliable Vision-Language Process Reward Modelscited by 4
  8. 2025LM-mixup: Text Data Augmentation via Language Model based Mixupcited by 3
  9. 2025LAST: LeArning to Think in Space and Time for Generalist Vision-Language Modelscited by 3
  10. 2025AURA: Affordance-Understanding and Risk-aware Alignment Technique for Large Language Modelscited by 2
  11. 2026Training Data Efficiency in Multimodal Process Reward Modelscited by 1
  12. 2026Test-Time Scaling for Small VLMs on Multilingual Visual MCQcited by 1
4 more
  1. 2025WISE: Weighted Iterative Society-of-Experts for Robust Multimodal Multi-Agent Debatecited by 0
  2. 2026Process Rewards with Learned Reliabilitycited by 0
  3. 2026Test-Time Scaling in Multimodal Foundation Models: A Comprehensive Survey of Generation and Reasoningcited by 0
  4. 2026Devils in Question Relay: Source-Conditioned Relay Steering to Mitigate Hallucinations in Audio-visual Large Language Modelscited by 0

Similar, not cited

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  2. 2025PRM-BAS: Enhancing Multimodal Reasoning through PRM-guided Beam Annealing Search
  3. 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Model
  4. 2025PRMBench: A Fine-grained and Challenging Benchmark for Process-Level Reward Models
  5. 2025R-PRM: Reasoning-Driven Process Reward Modeling
  6. 2026Process Reward Agents for Steering Knowledge-Intensive Reasoning
  7. 2025TaTToo: Tool-Grounded Thinking PRM for Test-Time Scaling in Tabular Reasoning
  8. 2026SCI-PRM: A Tool Aware Process Reward Model for Scientific Reasoning Verification