mlsanityData to 7 Oct 2026

Sampling-Efficient Test-Time Scaling: Self-Estimating the Best-of-N Sampling in Early Decoding

arXiv 2503.01422 ↗First posted 3 Mar 2025cs.CL cs.AIcited by 62

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

also in 1 more
Abstract (arXiv)

Test-time scaling enhances large language model performance by allocating additional compute resources during inference. Best-of-N (BoN) sampling serves as a common sampling-based scaling technique, broadening the search space in parallel to find better solutions from the model distribution. However, its cost-performance trade-off is still underexplored. Two main challenges limit the efficiency of BoN sampling: (1) Generating N full samples consumes substantial GPU memory, reducing inference capacity under limited resources. (2) Reward models add extra memory and latency overhead, and training strong reward models introduces potential training data costs. Although some studies have explored efficiency improvements, none have addressed both challenges at once. To address this gap, we propose Self-Truncation Best-of-N (ST-BoN), a decoding method that avoids fully generating all N samples and eliminates the need for reward models. It leverages early sampling consistency in the model's internal states to identify the most promising path and truncate suboptimal ones. In terms of cost, ST-BoN reduces dynamic GPU memory usage by over 80% and inference latency by 50%. In terms of cost-performance trade-off, ST-BoN achieves the same performance as Full-BoN while saving computational cost by 70%-80%, and under the same cost, it can improve accuracy by 3-4 points.

Key facts. Cited by 62 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 57 of its 66 references that are in the map. First posted on arXiv 3 Mar 2025.

Builds on

57 of 66 references.

Closest ancestors · 9

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. 2024TreeBoN: Enhancing Inference-Time Alignment with Speculative Tree-Search and Best-of-N Sampling18 Oct
  4. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
  5. 2024Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning19 Jan
  6. 2024Theoretical guarantees on the best-of-n alignment policy3 Jan
  7. 2023Alphazero-like Tree-Search can Guide Large Language Model Decoding and Training29 Sep
  8. 2023Let's Sample Step by Step: Adaptive-Consistency for Efficient Reasoning and Coding with LLMs19 May
  9. 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Models17 May

Other references · 48

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Language Models are Few-Shot Learnerscited by 32,199
  3. 2023GPT-4 Technical Reportcited by 18,132
  4. 2024The Llama 3 Herd of Modelscited by 14,192
  5. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  6. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  7. 2015Distilling the Knowledge in a Neural Networkcited by 10,076
  8. 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,393
  9. 2020Measuring Massive Multitask Language Understandingcited by 7,768
  10. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
  11. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
  12. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
36 more
  1. 2024Qwen2.5 Technical Reportcited by 4,713
  2. 2022Large Language Models are Zero-Shot Reasonerscited by 4,323
  3. 2023Let's Verify Step by Stepcited by 3,598
  4. 2023Mistral 7Bcited by 3,065
  5. 2019The Curious Case of Neural Text Degenerationcited by 2,881
  6. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  7. 2021WebGPT: Browser-assisted question-answering with human feedbackcited by 1,722
  8. 2022Fast Inference from Transformers via Speculative Decodingcited by 1,615
  9. 2018Hierarchical Neural Story Generationcited by 1,182
  10. 2022Scaling Laws for Reward Model Overoptimizationcited by 1,056
  11. 2024Large Language Monkeys: Scaling Inference Compute with Repeated Samplingcited by 946
  12. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
  13. 2023Graph of Thoughts: Solving Elaborate Problems with Large Language Modelscited by 873
  14. 2016Abstractive Text Summarization Using Sequence-to-Sequence RNNs and Beyondcited by 809
  15. 2023AlpacaFarm: A Simulation Framework for Methods that Learn from Human Feedbackcited by 738
  16. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoningcited by 402
  17. 2024Interpretable Preferences via Multi-Objective Reward Modeling and Mixture-of-Expertscited by 369
  18. 2020Sparse Sinkhorn Attentioncited by 250
  19. 2023Helping or Herding? Reward Model Ensembles Mitigate but do not Eliminate Reward Hackingcited by 195
  20. 2022Out-of-Distribution Detection and Selective Generation for Conditional Language Modelscited by 193
  21. 2019Neural Text Summarization: A Critical Evaluationcited by 189
  22. 2023TheoremQA: A Theorem-driven Question Answering datasetcited by 189
  23. 2023Controlled Decoding from Language Modelscited by 133
  24. 2024BoNBoN Alignment for Large Language Models and the Sweetness of Best-of-n Samplingcited by 120
  25. 2024Fast Best-of-N Decoding via Speculative Rejectioncited by 112
  26. 2024Common 7B Language Models Already Possess Strong Math Capabilitiescited by 108
  27. 2023Element-aware Summarization with Large Language Models: Expert-aligned Evaluation and Chain-of-Thought Methodcited by 76
  28. 2024BOND: Aligning LLMs with Best-of-N Distillationcited by 73
  29. 2023Dr.ICL: Demonstration-Retrieved In-context Learningcited by 71
  30. 2024Latent Space Chain-of-Embedding Enables Output-free LLM Self-Evaluationcited by 56
  31. 2024Variational Best-of-N Alignmentcited by 49
  32. 2024Asymptotics of Language Model Alignmentcited by 46
  33. 2024Cascade Reward Sampling for Efficient Decoding-Time Alignmentcited by 38
  34. 2024Rethinking Reward Model Evaluation: Are We Barking up the Wrong Tree?cited by 29
  35. 2024Embedding Trajectory for Out-of-Distribution Detection in Mathematical Reasoningcited by 18
  36. 2023Lightweight reranking for language model generationscited by 10

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 38; 2026: 24.

62 papers.

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  1. 2025Stop Overthinking: A Survey on Efficient Reasoning for Large Language Modelscited by 456
  2. 2025Reasoning Models Can Be Effective Without Thinkingcited by 182
  3. 2025A Survey of Efficient Reasoning for Large Reasoning Models: Language, Multimodality, and Beyondcited by 131
  4. 2025Efficient Reasoning Models: A Surveycited by 93
  5. 2025PolyMath: Evaluating Mathematical Reasoning in Multilingual Contextscited by 52
  6. 2025Harnessing the Reasoning Economy: A Survey of Efficient Reasoning for Large Language Modelscited by 35
  7. 2025Reasoning on a Budget: A Survey of Adaptive and Controllable Test-Time Compute in LLMscited by 31
  8. 2025A Comprehensive Survey on Trustworthiness in Reasoning with Large Language Modelscited by 22
  9. 2025MUR: Momentum Uncertainty guided Reasoning for Large Language Modelscited by 17
  10. 2025Generative AI Act II: Test Time Scaling Drives Cognition Engineeringcited by 14
  11. 2025TrimR: Verifier-based Training-Free Thinking Compression for Efficient Test-Time Scalingcited by 14
  12. 2026Parallel-Probe: Towards Efficient Parallel Thinking via 2D Probingcited by 13
38 more
  1. 2025Slim-SC: Thought Pruning for Efficient Scaling with Self-Consistencycited by 12
  2. 2025Certified Self-Consistency: Statistical Guarantees and Test-Time Training for Reliable Reasoning in LLMscited by 12
  3. 2025From Efficiency to Adaptivity: A Deeper Look at Adaptive Reasoning in Large Language Modelscited by 11
  4. 2025Exploring the System 1 Thinking Capability of Large Reasoning Modelscited by 10
  5. 2025Revisiting Model Interpolation for Efficient Reasoningcited by 10
  6. 2025Diversity-Enhanced Reasoning for Subjective Questionscited by 9
  7. 2026VLA-ATTC: Adaptive Test-Time Compute for VLA Models with Relative Action Critic Modelcited by 9
  8. 2025AdaBoN: Adaptive Best-of-N Alignmentcited by 8
  9. 2026FoE: Forest of Errors Makes the First Solution the Best in Large Reasoning Modelscited by 8
  10. 2025Fractured Chain-of-Thought Reasoningcited by 7
  11. 2026Neural Chain-of-Thought Search: Searching the Optimal Reasoning Path to Enhance Large Language Modelscited by 7
  12. 2026LLMs Improving LLMs: Agentic Discovery for Test-Time Scalingcited by 7
  13. 2025Measuring Reasoning Utility in LLMs via Conditional Entropy Reductioncited by 6
  14. 2025Optimal Stopping vs Best-of-N for Inference Time Optimizationcited by 6
  15. 2026CtrlCoT: Dual-Granularity Chain-of-Thought Compression for Controllable Reasoningcited by 6
  16. 2026Mitigating Overthinking in Large Reasoning Language Models via Reasoning Path Deviation Monitoringcited by 6
  17. 2025PREMISE: Scalable and Strategic Prompt Optimization for Efficient Mathematical Reasoning in Large Modelscited by 5
  18. 2026Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluationcited by 5
  19. 2025Think How to Think: Mitigating Overthinking with Autonomous Difficulty Cognition in Large Reasoning Modelscited by 4
  20. 2025Thinking with Nothinking Calibration: A New In-Context Learning Paradigm in Reasoning Large Language Modelscited by 4
  21. 2025The Thinking Spectrum: An Empirical Study of Tunable Reasoning in LLMs through Model Mergingcited by 4
  22. 2026Efficient Reasoning with Balanced Thinkingcited by 4
  23. 2025Can Past Experience Accelerate LLM Reasoning?cited by 3
  24. 2025Less Data Less Tokens: Multilingual Unification Learning for Efficient Test-Time Reasoning in LLMscited by 3
  25. 2025Test-time Verification via Optimal Transport: Coverage, ROC, & Sub-optimalitycited by 3
  26. 2025Seer Self-Consistency: Advance Budget Estimation for Adaptive Test-Time Scalingcited by 3
  27. 2026Persistent Visual Memory: Sustaining Perception for Deep Generation in LVLMscited by 3
  28. 2025Mitigating Overthinking through Reasoning Shapingcited by 2
  29. 2025Dist2ill: Distributional Distillation for One-Pass Uncertainty Estimation in Large Language Modelscited by 1
  30. 2025Confidence-Weighted Token Set Cover for Early Hypothesis Pruning in Self-Consistencycited by 1
  31. 2025Test-Time Scaling Strategies for Generative Retrieval in Multimodal Conversational Recommendationscited by 1
  32. 2025MatryoshkaThinking: Recursive Test-Time Scaling Enables Efficient Reasoningcited by 1
  33. 2025Inference-Time Chain-of-Thought Pruning with Latent Informativeness Signalscited by 1
  34. 2025EffiReason-Bench: A Unified Benchmark for Evaluating and Advancing Efficient Reasoning in Large Language Modelscited by 1
  35. 2026SketchThinker-R1: Towards Efficient Sketch-Style Reasoning in Large Multimodal Modelscited by 1
  36. 2026On the Overscaling Curse of Parallel Thinking: System Efficacy Contradicts Sample Efficiencycited by 1
  37. 2026SPARC-RAG: Adaptive Sequential-Parallel Scaling with Context Management for Retrieval-Augmented Generationcited by 1
  38. 2026One-Token Verification for Reasoning Correctness Estimationcited by 1

50 most cited of 62 All 62 (JSON)

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  1. 2025A*-Decoding: Token-Efficient Inference Scaling
  2. 2025First Finish Search: Efficient Test-Time Scaling in Large Language Models
  3. 2025ATTS: Asynchronous Test-Time Scaling via Conformal Prediction
  4. 2025Training and Inference Efficiency of Encoder-Decoder Speech Models
  5. 2025SIMPLE: Disaggregating Sampling from GPU Inference into a Decision Plane for Faster Distributed LLM Serving
  6. 2025Accelerating Large Language Model Inference via Early-Exiting Algorithms
  7. 2025Is Best-of-N the Best of Them? Coverage, Scaling, and Optimality in Inference-Time Alignment
  8. 2025Scaling Up, Speeding Up: A Benchmark of Speculative Decoding for Efficient LLM Test-Time Scaling