Search, Verify and Feedback: Towards Next Generation Post-training Paradigm of Foundation Models via Verifier Engineering
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Abstract (arXiv)
The evolution of machine learning has increasingly prioritized the development of powerful models and more scalable supervision signals. However, the emergence of foundation models presents significant challenges in providing effective supervision signals necessary for further enhancing their capabilities. Consequently, there is an urgent need to explore novel supervision signals and technical approaches. In this paper, we propose verifier engineering, a novel post-training paradigm specifically designed for the era of foundation models. The core of verifier engineering involves leveraging a suite of automated verifiers to perform verification tasks and deliver meaningful feedback to foundation models. We systematically categorize the verifier engineering process into three essential stages: search, verify, and feedback, and provide a comprehensive review of state-of-the-art research developments within each stage. We believe that verifier engineering constitutes a fundamental pathway toward achieving Artificial General Intelligence.
Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). Builds on 101 of its 127 references that are in the map. First posted on arXiv 18 Nov 2024.
Builds on
101 of 127 references.
References · 101
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- 2026Multi-Rollout On-Policy Distillation via Peer Successes and Failures12 May 2026
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- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learning9 Apr 2026
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- 2026Aligning Agentic World Models via Knowledgeable Experience Learning19 Jan 2026
- 2025IRPO: Boosting Image Restoration via Post-training GRPO30 Nov 2025
- 2025Communication and Verification in LLM Agents towards Collaboration under Information Asymmetry29 Oct 2025
- 2025Calibrated Reasoning: An Explanatory Verifier for Dynamic and Efficient Problem-Solving24 Sep 2025
- 2025Stepwise Reasoning Checkpoint Analysis: A Test Time Scaling Method to Enhance LLMs' Reasoning23 May 2025
- 2025Beyond Theorem Proving: Formulation, Framework and Benchmark for Formal Problem-Solving7 May 2025
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- 2025Reasoning Language Models: A Blueprint20 Jan 2025
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- 2025DeepRAG: Thinking to Retrieve Step by Step for Large Language Modelscited by 38
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- 2026Rewarding the Scientific Process: Process-Level Reward Modeling for Agentic Data Analysiscited by 5
- 2026ARTIS: Agentic Risk-Aware Test-Time Scaling via Iterative Simulationcited by 2
- 2025Calibrated Reasoning: An Explanatory Verifier for Dynamic and Efficient Problem-Solvingcited by 1
- 2025Stepwise Reasoning Checkpoint Analysis: A Test Time Scaling Method to Enhance LLMs' Reasoningcited by 0
- 2026Rewarding the Scientific Process: Process-Level Reward Modeling for Agentic Data Analysis27 Apr 2026
- 2026ARTIS: Agentic Risk-Aware Test-Time Scaling via Iterative Simulation2 Feb 2026
- 2025Calibrated Reasoning: An Explanatory Verifier for Dynamic and Efficient Problem-Solving24 Sep 2025
- 2025Stepwise Reasoning Checkpoint Analysis: A Test Time Scaling Method to Enhance LLMs' Reasoning23 May 2025
- 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models12 Mar 2025
- 2025A Survey on Feedback-based Multi-step Reasoning for Large Language Models on Mathematics20 Feb 2025
- 2025DeepRAG: Thinking to Retrieve Step by Step for Large Language Models3 Feb 2025
- 2025Reasoning Language Models: A Blueprint20 Jan 2025