mlsanityData to 14 Oct 2026

Scaling Test-Time Compute Without Verification or RL is Suboptimal

arXiv 2502.12118 ↗First posted 17 Feb 2025cs.LG cs.CLcited by 84

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Despite substantial advances in scaling test-time compute, an ongoing debate in the community is how it should be scaled up to enable continued and efficient improvements with scaling. There are largely two approaches: first, distilling successful search or thinking traces; and second, using verification (e.g., 0/1 outcome rewards, reward models, or verifiers) to guide reinforcement learning (RL) and search algorithms. In this paper, we prove that finetuning LLMs with verifier-based (VB) methods based on RL or search is far superior to verifier-free (VF) approaches based on distilling or cloning search traces, given a fixed amount of compute/data budget. Further, we show that as we scale test-time compute (measured as the output token length) and training data, suboptimality of VF methods scales poorly compared to VB when the base pre-trained LLM presents a heterogeneous distribution over correct solution traces (e.g., different lengths, styles, etc.) and admits a non-sharp distribution over rewards on traces sampled from it. We formalize this condition using anti-concentration [ErdHos, 1945]. This implies a stronger result that VB methods scale better asymptotically, with the performance gap between VB and VF methods widening as test-time budget grows. We corroborate our theory empirically on both didactic and math reasoning problems with 3/8/32B-sized pre-trained LLMs, where we find verification is crucial for scaling test-time compute.

Key facts. Cited by 84 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 50 of its 77 references that are in the map. First posted on arXiv 17 Feb 2025.

Builds on

50 of 77 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025s1: Simple test-time scaling31 Jan
  2. 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
  3. 2024Inference-Aware Fine-Tuning for Best-of-N Sampling in Large Language Models18 Dec
  4. 2024Training Language Models to Self-Correct via Reinforcement Learning19 Sep
  5. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
  6. 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models1 Aug
  7. 2024Stream of Search (SoS): Learning to Search in Language1 Apr
  8. 2024V-STaR: Training Verifiers for Self-Taught Reasoners9 Feb
  9. 2023Algorithm of Thoughts: Enhancing Exploration of Ideas in Large Language Models20 Aug
  10. 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Models17 May

Other references · 40

  1. 2024The Llama 3 Herd of Modelscited by 14,715
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 8,065
  4. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  5. 2022Training Compute-Optimal Large Language Modelscited by 3,019
  6. 2024Qwen2 Technical Reportcited by 2,120
  7. 2022Solving math word problems with process- and outcome-based feedbackcited by 901
  8. 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 672
  9. 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermismcited by 642
  10. 2025Process Reinforcement through Implicit Rewardscited by 504
  11. 2025LIMO: Less is More for Reasoningcited by 498
  12. 2024Generative Verifiers: Reward Modeling as Next-Token Predictioncited by 480
28 more
  1. 2023Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Modelscited by 349
  2. 2021Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimismcited by 279
  3. 2024Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoningcited by 279
  4. 2025Training Language Models to Reason Efficientlycited by 247
  5. 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learningcited by 241
  6. 2022Will we run out of data? Limits of LLM scaling based on human-generated datacited by 195
  7. 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 183
  8. 2024Recursive Introspection: Teaching Language Model Agents How to Self-Improvecited by 165
  9. 2024Free Process Rewards without Process Labelscited by 165
  10. 2023Beyond Chinchilla-Optimal: Accounting for Inference in Language Model Scaling Lawscited by 159
  11. 2024Generative Reward Modelscited by 148
  12. 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Modelscited by 137
  13. 2024Common 7B Language Models Already Possess Strong Math Capabilitiescited by 109
  14. 2025Towards System 2 Reasoning in LLMs: Learning How to Think With Meta Chain-of-Thoughtcited by 109
  15. 2024Back to Basics: Revisiting REINFORCE Style Optimization for Learning from Human Feedback in LLMscited by 108
  16. 2024Self-Improvement in Language Models: The Sharpening Mechanismcited by 104
  17. 2024RL on Incorrect Synthetic Data Scales the Efficiency of LLM Math Reasoning by Eight-Foldcited by 99
  18. 2024Beyond A*: Better Planning with Transformers via Search Dynamics Bootstrappingcited by 90
  19. 2024Correcting the Mythos of KL-Regularization: Direct Alignment without Overoptimization via Chi-Squared Preference Optimizationcited by 78
  20. 2024Is Behavior Cloning All You Need? Understanding Horizon in Imitation Learningcited by 74
  21. 2021Scaling Scaling Laws with Board Gamescited by 63
  22. 2024On the Diversity of Synthetic Data and its Impact on Training Large Language Modelscited by 59
  23. 2024EVOLvE: Evaluating and Optimizing LLMs For In-Context Explorationcited by 34
  24. 2024Are More LLM Calls All You Need? Towards Scaling Laws of Compound Inference Systemscited by 25
  25. 2024Mind the Gap: Examining the Self-Improvement Capabilities of Large Language Modelscited by 18
  26. 2024Online Estimation via Offline Estimation: An Information-Theoretic Frameworkcited by 13
  27. 2024Model-based RL as a Minimalist Approach to Horizon-Free and Second-Order Boundscited by 11
  28. 2024Learning to Better Search with Language Models via Guided Reinforced Self-Trainingcited by 5

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 59; 2026: 25.

84 papers.

Sort:

By area:

  1. 2025Why Do Multi-Agent LLM Systems Fail?cited by 604
  2. 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 384
  3. 2025ReasoningBank: Scaling Agent Self-Evolving with Reasoning Memorycited by 284
  4. 2025Learning to Reason under Off-Policy Guidancecited by 281
  5. 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoningcited by 166
  6. 2025The Surprising Effectiveness of Negative Reinforcement in LLM Reasoningcited by 162
  7. 2025Advances and Challenges in Foundation Agents: From Brain-Inspired Intelligence to Evolutionary, Collaborative, and Safe Systemscited by 126
  8. 2025OpenVLThinker: Complex Vision-Language Reasoning via Iterative SFT-RL Cyclescited by 124
  9. 2025Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuningcited by 123
  10. 2025OpenCodeReasoning: Advancing Data Distillation for Competitive Codingcited by 113
  11. 2025Inducing Programmatic Skills for Agentic Taskscited by 111
  12. 2025Big-Math: A Large-Scale, High-Quality Math Dataset for Reinforcement Learning in Language Modelscited by 109
38 more
  1. 2025All Roads Lead to Likelihood: The Value of Reinforcement Learning in Fine-Tuningcited by 59
  2. 2025e3: Learning to Explore Enables Extrapolation of Test-Time Compute for LLMscited by 59
  3. 2025Does Thinking More always Help? Mirage of Test-Time Scaling in Reasoning Modelscited by 53
  4. 2025Reinforcement Learning Finetunes Small Subnetworks in Large Language Modelscited by 49
  5. 2025When To Solve, When To Verify: Compute-Optimal Problem Solving and Generative Verification for LLM Reasoningcited by 42
  6. 2025RaC: Robot Learning for Long-Horizon Tasks by Scaling Recovery and Correctioncited by 39
  7. 2025Harnessing the Reasoning Economy: A Survey of Efficient Reasoning for Large Language Modelscited by 36
  8. 2025Thinking vs. Doing: Agents that Reason by Scaling Test-Time Interactioncited by 34
  9. 2025Visual Document Understanding and Reasoning: A Multi-Agent Collaboration Framework with Agent-Wise Adaptive Test-Time Scalingcited by 30
  10. 2025OpenCodeReasoning-II: A Simple Test Time Scaling Approach via Self-Critiquecited by 25
  11. 2025Differential Smoothing Mitigates Sharpening and Improves LLM Reasoningcited by 22
  12. 2025Latent Thinking Optimization: Your Latent Reasoning Language Model Secretly Encodes Reward Signals in Its Latent Thoughtscited by 19
  13. 2025LoVeC: Reinforcement Learning for Better Verbalized Confidence in Long-Form Generationscited by 17
  14. 2026Reuse your FLOPs: Scaling RL on Hard Problems by Conditioning on Very Off-Policy Prefixescited by 16
  15. 2025Generative AI Act II: Test Time Scaling Drives Cognition Engineeringcited by 15
  16. 2025Every Rollout Counts: Optimal Resource Allocation for Efficient Test-Time Scalingcited by 15
  17. 2025Putting the Value Back in RL: Better Test-Time Scaling by Unifying LLM Reasoners With Verifierscited by 14
  18. 2025Making Small Language Models Efficient Reasoners: Intervention, Supervision, Reinforcementcited by 14
  19. 2025Let's Think in Two Steps: Mitigating Agreement Bias in MLLMs with Self-Grounded Verificationcited by 14
  20. 2026InT: Self-Proposed Interventions Enable Credit Assignment in LLM Reasoningcited by 14
  21. 2025Continuous Self-Improvement of Large Language Models by Test-time Training with Verifier-Driven Sample Selectioncited by 13
  22. 2025Let Me Think! A Long Chain-of-Thought Can Be Worth Exponentially Many Short Onescited by 13
  23. 2025Sample Complexity and Representation Ability of Test-time Scaling Paradigmscited by 12
  24. 2026Reasoning Cache: Continual Improvement Over Long Horizons via Short-Horizon RLcited by 12
  25. 2026V1: Unifying Generation and Self-Verification for Parallel Reasonerscited by 12
  26. 2025Scaling over Scaling: Exploring Test-Time Scaling Plateau in Large Reasoning Modelscited by 11
  27. 2025VerifiAgent: a Unified Verification Agent in Language Model Reasoningcited by 10
  28. 2025Faster and Better LLMs via Latency-Aware Test-Time Scalingcited by 9
  29. 2025Revisiting Test-Time Scaling: A Survey and a Diversity-Aware Method for Efficient Reasoningcited by 9
  30. 2025Trust but Verify! A Survey on Verification Design for Test-time Scalingcited by 8
  31. 2026COLD-Steer: Steering Large Language Models via In-Context One-step Learning Dynamicscited by 8
  32. 2026Squeeze Evolve: Unified Multi-Model Orchestration for Verifier-Free Evolutioncited by 8
  33. 2025Unlocking Reasoning Capabilities in LLMs via Reinforcement Learning Explorationcited by 7
  34. 2025Building Coding Agents via Entropy-Enhanced Multi-Turn Preference Optimizationcited by 6
  35. 2026Gaming the Judge: Unfaithful Chain-of-Thought Can Undermine Agent Evaluationcited by 6
  36. 2025Stabilizing Policy Gradients for Sample-Efficient Reinforcement Learning in LLM Reasoningcited by 5
  37. 2025Autonomous Radiotherapy Treatment Planning Using DOLA: A Privacy-Preserving, LLM-Based Optimization Agentcited by 4
  38. 2025On the Role of Feedback in Test-Time Scaling of Agentic AI Workflowscited by 4

50 most cited of 84 All 84 (JSON)

Similar, not cited

Close in wording, no citation either way

  1. 2025It's Not That Simple. An Analysis of Simple Test-Time Scaling
  2. 2025Extending Test-Time Scaling: A 3D Perspective with Context, Batch, and Turn
  3. 2025AIRL-S: Unifying Reinforcement Learning and Search-Based Test-Time Scaling via Adversarial Inverse Reinforcement Learning
  4. 2025J1: Exploring Simple Test-Time Scaling for LLM-as-a-Judge
  5. 2026AgentV-RL: Scaling Reward Modeling with Agentic Verifier
  6. 2025Step-level Verifier-guided Hybrid Test-Time Scaling for Large Language Models
  7. 2026LLM-as-a-Verifier: A General-Purpose Verification Framework
  8. 2025BroRL: Scaling Reinforcement Learning via Broadened Exploration