Deep Think with Confidence
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
Large Language Models (LLMs) have shown great potential in reasoning tasks through test-time scaling methods like self-consistency with majority voting. However, this approach often leads to diminishing returns in accuracy and high computational overhead. To address these challenges, we introduce Deep Think with Confidence (DeepConf), a simple yet powerful method that enhances both reasoning efficiency and performance at test time. DeepConf leverages model-internal confidence signals to dynamically filter out low-quality reasoning traces during or after generation. It requires no additional model training or hyperparameter tuning and can be seamlessly integrated into existing serving frameworks. We evaluate DeepConf across a variety of reasoning tasks and the latest open-source models, including Qwen 3 and GPT-OSS series. Notably, on challenging benchmarks such as AIME 2025, DeepConf@512 achieves up to 99.9% accuracy and reduces generated tokens by up to 84.7% compared to full parallel thinking.
Key facts. Cited by 205 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 34 of its 43 references that are in the map. First posted on arXiv 21 Aug 2025.
Builds on
34 of 43 references.
Closest ancestors · 16
Same direction, newest first
- 2025Don't Overthink it. Preferring Shorter Thinking Chains for Improved LLM Reasoning23 May
- 2025Ranked Voting based Self-Consistency of Large Language Models16 May
- 2025Dynamic Early Exit in Reasoning Models22 Apr
- 2025ThinkPrune: Pruning Long Chain-of-Thought of LLMs via Reinforcement Learning2 Apr
- 2025Scalable Best-of-N Selection for Large Language Models via Self-Certainty25 Feb
- 2025s1: Simple test-time scaling31 Jan
- 2025O1-Pruner: Length-Harmonizing Fine-Tuning for O1-Like Reasoning Pruning22 Jan
- 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
- 2024Efficiently Scaling LLM Reasoning with Certaindex30 Dec
- 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systems12 Dec
- 2024Adaptive Inference-Time Compute: LLMs Can Predict if They Can Do Better, Even Mid-Generation3 Oct
- 2024Reasoning Aware Self-Consistency: Leveraging Reasoning Paths for Efficient LLM Sampling30 Aug
4 more
- 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
- 2024Soft Self-Consistency Improves Language Model Agents20 Feb
- 2024Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning19 Jan
- 2023Let's Sample Step by Step: Adaptive-Consistency for Efficient Reasoning and Coding with LLMs19 May
Other references · 18
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2025Qwen3 Technical Reportcited by 8,820
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,210
- 2024Large Language Monkeys: Scaling Inference Compute with Repeated Samplingcited by 991
- 2025LIMO: Less is More for Reasoningcited by 498
- 2025MathArena: Evaluating LLMs on Uncontaminated Math Competitionscited by 297
- 2023A Survey of Confidence Estimation and Calibration in Large Language Modelscited by 256
- 2025Learning to Reason without External Rewardscited by 210
- 2024Fact-Checking the Output of Large Language Models via Token-Level Uncertainty Quantificationcited by 162
6 more
- 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Modelscited by 137
- 2023Self-Evaluation Improves Selective Generation in Large Language Modelscited by 76
- 2024Learning to Route LLMs with Confidence Tokenscited by 67
- 2023Rewarding Chatbots for Real-World Engagement with Millions of Userscited by 59
- 2023Lightweight reranking for language model generationscited by 10
- 2024Not All Votes Count! Programs as Verifiers Improve Self-Consistency of Language Models for Math Reasoningcited by 9
Built on by
Citing papers per year: 2025: 73; 2026: 132.
205 papers.
Sort:
By area:
- 2025TTT3R: 3D Reconstruction as Test-Time Trainingcited by 129
- 2025Parallel-R1: Towards Parallel Thinking via Reinforcement Learningcited by 61
- 2025Nemotron-Cascade: Scaling Cascaded Reinforcement Learning for General-Purpose Reasoning Modelscited by 48
- 2025The Majority is not always right: RL training for solution aggregationcited by 47
- 2025Reverse-Engineered Reasoning for Open-Ended Generationcited by 32
- 2025Agent0-VL: Exploring Self-Evolving Agent for Tool-Integrated Vision-Language Reasoningcited by 31
- 2025CDE: Curiosity-Driven Exploration for Efficient Reinforcement Learning in Large Language Modelscited by 29
- 2025Single-stream Policy Optimizationcited by 28
- 2026Adaptive Action Chunking at Inference-time for Vision-Language-Action Modelscited by 28
- 2025Exploration vs Exploitation: Rethinking RLVR through Clipping, Entropy, and Spurious Rewardcited by 27
- 2025Beyond Majority Voting: LLM Aggregation by Leveraging Higher-Order Informationcited by 26
- 2026Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokenscited by 22
38 more
- 2025Rethinking Thinking Tokens: LLMs as Improvement Operatorscited by 21
- 2026Uncertainty Quantification in LLM Agents: Foundations, Emerging Challenges, and Opportunitiescited by 20
- 2025Trace Length is a Simple Uncertainty Signal in Reasoning Modelscited by 19
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learningcited by 18
- 2026Agentic Aggregation for Parallel Scaling of Long-Horizon Agentic Taskscited by 18
- 2026Equilibrium Reasoners: Learning Attractors Enables Scalable Reasoningcited by 18
- 2025Stop When Enough: Adaptive Early-Stopping for Chain-of-Thought Reasoningcited by 16
- 2025TUMIX: Multi-Agent Test-Time Scaling with Tool-Use Mixturecited by 15
- 2025Can Aha Moments Be Fake? Towards Quantifying Decorative and True Thinking in Chain-of-Thoughtcited by 15
- 2026Agentic Confidence Calibrationcited by 15
- 2025Parallel Test-Time Scaling for Latent Reasoning Modelscited by 14
- 2025ParallelMuse: Agentic Parallel Thinking for Deep Information Seekingcited by 14
- 2026Small Generalizable Prompt Predictive Models Can Steer Efficient RL Post-Training of Large Reasoning Modelscited by 14
- 2026Parallel-Probe: Towards Efficient Parallel Thinking via 2D Probingcited by 14
- 2025Energy Use of AI Inference, Efficiency Pathways, and Test-Time Scalingcited by 13
- 2026Falcon-H1R: Pushing the Reasoning Frontiers with a Hybrid Model for Efficient Test-Time Scalingcited by 13
- 2025CLUE: Non-parametric Verification from Experience via Hidden-State Clusteringcited by 12
- 2025Certified Self-Consistency: Statistical Guarantees and Test-Time Training for Reliable Reasoning in LLMscited by 12
- 2025From Efficiency to Adaptivity: A Deeper Look at Adaptive Reasoning in Large Language Modelscited by 12
- 2025A Survey on Parallel Reasoningcited by 11
- 2026Reliability-Aware Adaptive Self-Consistency for Efficient Sampling in LLM Reasoningcited by 11
- 2025Self-Evolving Vision-Language Models for Image Quality Assessment via Voting and Rankingcited by 10
- 2025Let it Calm: Exploratory Annealed Decoding for Verifiable Reinforcement Learningcited by 10
- 2025EAGer: Entropy-Aware GEneRation for Adaptive Inference-Time Scalingcited by 10
- 2025Scaling Test-Time Compute to Achieve IOI Gold Medal with Open-Weight Modelscited by 10
- 2025ReProbe: Efficient Test-Time Scaling of Multi-Step Reasoning by Probing Internal States of Large Language Modelscited by 10
- 2026Hidden States as Early Signals: Step-level Trace Evaluation and Pruning for Efficient Test-Time Scalingcited by 10
- 2026Multi-Agent Debate with Memory Maskingcited by 10
- 2026LLMs Improving LLMs: Agentic Discovery for Test-Time Scalingcited by 10
- 2025Klear-AgentForge: Forging Agentic Intelligence through Posttraining Scalingcited by 9
- 2026Do Not Waste Your Rollouts: Recycling Search Experience for Efficient Test-Time Scalingcited by 9
- 2025ThreadWeaver: Adaptive Threading for Efficient Parallel Reasoning in Language Modelscited by 8
- 2026ThinkRouter: Efficient Reasoning via Routing Thinking between Latent and Discrete Spacescited by 8
- 2026Agentic Test-Time Scaling for WebAgentscited by 8
- 2026Reported Confidence in LLMs Tracks Commitment More Than Correctnesscited by 8
- 2025Selective Expert Guidance for Effective and Diverse Exploration in Reinforcement Learning of LLMscited by 7
- 2025Thinking on the Fly: Test-Time Reasoning Enhancement via Latent Thought Policy Optimizationcited by 7
- 2025Mixture-of-Minds: Multi-Agent Reinforcement Learning for Table Understandingcited by 7
50 most cited of 205 All 205 (JSON)
- 2026Frustratingly Easy Majority Voting Using Length Conditioning14 Oct 2026
- 2026Compare to Correct: Pairwise-Guided Logit Adjustment for LLM Test-Time Scaling13 Oct 2026
- 2026Learning Latent Protein Languages for Autoregressive Generation2 Oct 2026
- 2026From Discovery to Decision: Finite-Budget Recoverability in LLM Voting1 Oct 2026
- 2026Adaptive Self-Consistency: From Black-Box Sampling to Distribution-Valued Feedback30 Sep 2026
- 2026Beam Search as Test-Time Self-Distillation via Counterfactual Contexts29 Sep 2026
- 2026Certainty Is Not Just Correctness: Rethinking Token-Level Certainty in LLM Reasoning26 Sep 2026
- 2026GRUET: Quantifying Uncertainty of Agentic Reasoning-and-Acting Processes21 Sep 2026
- 2026Information-Time Proximal Policy Optimization21 Sep 2026
- 2026LoopCD: Loop-wise Contrastive Decoding for Improving Reasoning in Looped Language Models21 Sep 2026
- 2026Lightning Weave: Improving the Accuracy-Efficiency Frontier of Reasoning Models through Capability Composition13 Sep 2026
- 2026Uncertainty Quantification for LLM Agents: A Taxonomy, an Evaluation Protocol, and an Empirical Study7 Sep 2026
38 more
- 2026GUT: Quantifying and Optimizing the Reasoning Uncertainty of LLMs via Graph Complexity4 Sep 2026
- 2026Stochastic Semantic Evidence Graphs: Uncertainty Propagation and Governance for Agentic AI3 Sep 2026
- 2026It's the Problem, Not the Path: Budget and Difficulty Confounds in LLM Reasoning Trajectories3 Sep 2026
- 2026Parason: Revealing Subtask and Trial Parallelism in LLM Reasoning25 Aug 2026
- 2026Beyond Confidence: Test-Time Scaling for Multi-Turn Search Agents via Retrieval Grounding25 Aug 2026
- 2026Disagree to Explore, Agree to Commit: Routing-Guided Test-Time Scaling for Software Agents23 Aug 2026
- 2026Claim-Level Reliability Assessment for Efficient Test-Time Reasoning12 Aug 2026
- 2026Consilience for Verifier-Free Test-Time Scaling10 Aug 2026
- 2026Thought-Level Beam Search for Reasoning8 Aug 2026
- 2026TrAC: Trace-Conditioned Answer Consistency for Efficient Uncertainty Quantification in LLMs1 Aug 2026
- 2026Reasoning Denoiser: Denoising Reasoning Traces for Hallucination Detection in Large Reasoning Models24 Jul 2026
- 2026CUSUM-Shaped Inference-Time Monitoring and Targeted Re-Decoding for Quantized Small Language Model Reasoning22 Jul 2026
- 2026Calibrated e-CUSUM Decoding for Quantized Reasoning Models: Why Token Log-Probability Is the Wrong Observable for Decoding Monitors13 Jul 2026
- 2026Continual Test-Time Adaptation in Computer Vision: Methods, Benchmarks, and Future Directions9 Jul 2026
- 2026CAT: Confidence-Adaptive Thinking for Efficient Reasoning of Large Reasoning Models1 Jul 2026
- 2026Fork-Think with Confidence30 Jun 2026
- 2026Reported Confidence in LLMs Tracks Commitment More Than Correctness28 Jun 2026
- 2026When are likely answers right? On Sequence Probability and Correctness in LLMs25 Jun 2026
- 2026Neglected Free Lunch from Post-training: Progress Advantage for LLM Agents24 Jun 2026
- 2026Recipes for Steering and Scaling LLMs via Sampling19 Jun 2026
- 2026Confidence-Aware Automated Assessment of Student-Drawn Scientific Models18 Jun 2026
- 2026A Systematic Evaluation of Black-Box Uncertainty Estimation Methods for Large Language Models18 Jun 2026
- 2026CHS-SQL: A Text-to-SQL approach based on Confidence-Guided Heuristic Search Schema Linking process17 Jun 2026
- 2026REVES: REvision and VErification--Augmented Training for Test-Time Scaling17 Jun 2026
- 2026DeepLook: Deeper Thinking with Lookahead12 Jun 2026
- 2026MARS: Margin-Adversarial Risk-controlled Stopping for Parallel LLM Test-time Scaling11 Jun 2026
- 2026Towards Diverse Scientific Hypothesis Search with Large Language Models9 Jun 2026
- 2026Sample Where You Struggle: Sharpening Base Model Reasoning via Entropy-Guided Power Sampling7 Jun 2026
- 2026Intrinsic Selection and Particle Resampling for Inference-Time Scaling Beyond Domain Verifiability7 Jun 2026
- 2026ConSteer-RL: Steering Reasoning Capabilities in Large Language Models via Confidence-Aware Reinforcement Learning6 Jun 2026
- 2026The Tell-Tale Norm: ℓ2 Magnitude as a Signal for Reasoning Dynamics in Large Language Models4 Jun 2026
- 2026Quantifying Faithful Confidence Expression in Large Reasoning Models2 Jun 2026
- 2026Small RL Controller, Large Language Model: RL-Guided Adaptive Sampling for Test-Time Scaling2 Jun 2026
- 2026Unveiling the Entropy Dynamics of Chain-of-Thought Reasoning1 Jun 2026
- 2026Agent Explorative Policy Optimization for Multimodal Agentic Reasoning27 May 2026
- 2026Mechanistically Interpreting the Role of Sample Difficulty in RLVR for LLMs27 May 2026
- 2026Share More, Search Less: Collaborative Parallel Thinking for Efficient Test-Time Scaling26 May 2026
- 2026Inference Time Optimization with Confidence Dynamics24 May 2026
50 newest of 205 All 205 (JSON)
- 2025Parallel-R1: Towards Parallel Thinking via Reinforcement Learningcited by 61
- 2025Nemotron-Cascade: Scaling Cascaded Reinforcement Learning for General-Purpose Reasoning Modelscited by 48
- 2025The Majority is not always right: RL training for solution aggregationcited by 47
- 2025Agent0-VL: Exploring Self-Evolving Agent for Tool-Integrated Vision-Language Reasoningcited by 31
- 2025CDE: Curiosity-Driven Exploration for Efficient Reinforcement Learning in Large Language Modelscited by 29
- 2025Single-stream Policy Optimizationcited by 28
- 2025Exploration vs Exploitation: Rethinking RLVR through Clipping, Entropy, and Spurious Rewardcited by 27
- 2025Beyond Majority Voting: LLM Aggregation by Leveraging Higher-Order Informationcited by 26
- 2026Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokenscited by 22
- 2025Rethinking Thinking Tokens: LLMs as Improvement Operatorscited by 21
- 2025Trace Length is a Simple Uncertainty Signal in Reasoning Modelscited by 19
- 2026Agentic Aggregation for Parallel Scaling of Long-Horizon Agentic Taskscited by 18
12 most cited of 146 All 146 (JSON)
- 2026Frustratingly Easy Majority Voting Using Length Conditioning14 Oct 2026
- 2026Compare to Correct: Pairwise-Guided Logit Adjustment for LLM Test-Time Scaling13 Oct 2026
- 2026From Discovery to Decision: Finite-Budget Recoverability in LLM Voting1 Oct 2026
- 2026Adaptive Self-Consistency: From Black-Box Sampling to Distribution-Valued Feedback30 Sep 2026
- 2026Certainty Is Not Just Correctness: Rethinking Token-Level Certainty in LLM Reasoning26 Sep 2026
- 2026GRUET: Quantifying Uncertainty of Agentic Reasoning-and-Acting Processes21 Sep 2026
- 2026Information-Time Proximal Policy Optimization21 Sep 2026
- 2026LoopCD: Loop-wise Contrastive Decoding for Improving Reasoning in Looped Language Models21 Sep 2026
- 2026Lightning Weave: Improving the Accuracy-Efficiency Frontier of Reasoning Models through Capability Composition13 Sep 2026
- 2026GUT: Quantifying and Optimizing the Reasoning Uncertainty of LLMs via Graph Complexity4 Sep 2026
- 2026It's the Problem, Not the Path: Budget and Difficulty Confounds in LLM Reasoning Trajectories3 Sep 2026
- 2026Parason: Revealing Subtask and Trial Parallelism in LLM Reasoning25 Aug 2026
12 newest of 146 All 146 (JSON)
- 2026Uncertainty Quantification in LLM Agents: Foundations, Emerging Challenges, and Opportunitiescited by 20
- 2026Agentic Confidence Calibrationcited by 15
- 2025ParallelMuse: Agentic Parallel Thinking for Deep Information Seekingcited by 14
- 2025Klear-AgentForge: Forging Agentic Intelligence through Posttraining Scalingcited by 9
- 2025Mixture-of-Minds: Multi-Agent Reinforcement Learning for Table Understandingcited by 7
- 2026Uncertainty Quantification for LLM Agents: A Taxonomy, an Evaluation Protocol, and an Empirical Studycited by 0
- 2026Stochastic Semantic Evidence Graphs: Uncertainty Propagation and Governance for Agentic AIcited by 0
- 2026Uncertainty Quantification for LLM Agents: A Taxonomy, an Evaluation Protocol, and an Empirical Study7 Sep 2026
- 2026Stochastic Semantic Evidence Graphs: Uncertainty Propagation and Governance for Agentic AI3 Sep 2026
- 2026Uncertainty Quantification in LLM Agents: Foundations, Emerging Challenges, and Opportunities4 Feb 2026
- 2026Agentic Confidence Calibration22 Jan 2026
- 2025Klear-AgentForge: Forging Agentic Intelligence through Posttraining Scaling8 Nov 2025
- 2025ParallelMuse: Agentic Parallel Thinking for Deep Information Seeking28 Oct 2025
- 2025Mixture-of-Minds: Multi-Agent Reinforcement Learning for Table Understanding23 Oct 2025
- 2025Self-Evolving Vision-Language Models for Image Quality Assessment via Voting and Rankingcited by 10
- 2026Overconfidence and Calibration in Medical VQA: Empirical Findings and Hallucination-Aware Mitigationcited by 6
- 2026Residual Decoding: Mitigating Hallucinations in Large Vision-Language Models via History-Aware Residual Guidancecited by 5
- 2026Linking Perception, Confidence and Accuracy in MLLMscited by 2
- 2026AdaptToken: Entropy-based Adaptive Token Selection for MLLM Long Video Understandingcited by 2
- 2026Overconfidence and Calibration in Medical VQA: Empirical Findings and Hallucination-Aware Mitigation2 Apr 2026
- 2026AdaptToken: Entropy-based Adaptive Token Selection for MLLM Long Video Understanding30 Mar 2026
- 2026Linking Perception, Confidence and Accuracy in MLLMs12 Mar 2026
- 2026Residual Decoding: Mitigating Hallucinations in Large Vision-Language Models via History-Aware Residual Guidance1 Feb 2026
- 2025Self-Evolving Vision-Language Models for Image Quality Assessment via Voting and Ranking30 Sep 2025
- 2025TTT3R: 3D Reconstruction as Test-Time Trainingcited by 129
- 2025Reverse-Engineered Reasoning for Open-Ended Generationcited by 32
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learningcited by 18
- 2026Parallel-Probe: Towards Efficient Parallel Thinking via 2D Probingcited by 14
- 2025Energy Use of AI Inference, Efficiency Pathways, and Test-Time Scalingcited by 13
- 2025CLUE: Non-parametric Verification from Experience via Hidden-State Clusteringcited by 12
- 2026Reported Confidence in LLMs Tracks Commitment More Than Correctnesscited by 8
- 2026LLMs Should Express Uncertainty Explicitlycited by 6
- 2026When are likely answers right? On Sequence Probability and Correctness in LLMscited by 4
- 2025Best-of-∞ -- Asymptotic Performance of Test-Time LLM Ensemblingcited by 3
- 2025ScalingAR: Scaling Confidence for Autoregressive Image Generationcited by 3
- 2025When Bias Pretends to Be Truth: How Spurious Correlations Undermine Hallucination Detection in LLMscited by 3
12 most cited of 34 All 34 (JSON)
- 2026Learning Latent Protein Languages for Autoregressive Generation2 Oct 2026
- 2026Continual Test-Time Adaptation in Computer Vision: Methods, Benchmarks, and Future Directions9 Jul 2026
- 2026Reported Confidence in LLMs Tracks Commitment More Than Correctness28 Jun 2026
- 2026When are likely answers right? On Sequence Probability and Correctness in LLMs25 Jun 2026
- 2026Recipes for Steering and Scaling LLMs via Sampling19 Jun 2026
- 2026Confidence-Aware Automated Assessment of Student-Drawn Scientific Models18 Jun 2026
- 2026A Systematic Evaluation of Black-Box Uncertainty Estimation Methods for Large Language Models18 Jun 2026
- 2026CHS-SQL: A Text-to-SQL approach based on Confidence-Guided Heuristic Search Schema Linking process17 Jun 2026
- 2026Towards Diverse Scientific Hypothesis Search with Large Language Models9 Jun 2026
- 2026Automated Reformulation of Robust Optimization via Memory-Augmented Large Language Models12 May 2026
- 2026Extending Confidence-Based Text2Cypher with Grammar and Schema Aware Filtering11 May 2026
- 2026Uncertainty Propagation in LLM-Based Systems26 Apr 2026
12 newest of 34 All 34 (JSON)
Similar, not cited
Close in wording, no citation either way
- 2025DeepDistill: Enhancing LLM Reasoning Capabilities via Large-Scale Difficulty-Graded Data Training
- 2025ConCISE: Confidence-guided Compression in Step-by-step Efficient Reasoning
- 2026Beyond Model Scaling: Test-Time Intervention for Efficient Deep Reasoning
- 2026ThinkBooster: A Unified Framework for Seamless Test-Time Scaling of LLM Reasoning
- 2025Learning to Reason: Training LLMs with GPT-OSS or DeepSeek R1 Reasoning Traces
- 2025Benchmarking Reasoning Robustness in Large Language Models
- 2025DeepQuestion: Systematic Generation of Real-World Challenges for Evaluating LLMs Performance
- 2026Confidence over Time: Confidence Calibration with Temporal Logic for Large Language Model Reasoning