SEAL: Steerable Reasoning Calibration of Large Language Models for Free
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
Large Language Models (LLMs), such as OpenAI's o1-series have demonstrated compelling capabilities for complex reasoning tasks via the extended chain-of-thought (CoT) reasoning mechanism. However, recent studies reveal substantial redundancy in the CoT reasoning traces, which not only increases inference latency but also negatively impacts model performance by diverting attention to unnecessary reasoning paths. To address this issue, we investigate the internal reasoning structures of LLMs and categorize them into three primary thought types: execution, reflection, and transition thoughts. Moreover, our analysis reveals that excessive reflection and transition thoughts are strongly correlated with failure cases and these thought categories exhibit clear separation in the latent space. Based on these, we introduce SEAL (Steerable reasoning calibration), a training-free approach that seamlessly calibrates the CoT process, improving accuracy while demonstrating significant efficiency gains. SEAL consists of an offline stage for extracting the reasoning steering vector in the latent space, followed by an on-the-fly calibration of the reasoning trace through representation intervention using the steering vector. Notably, the steering vector exhibits strong transferability across various tasks. Extensive experiments across multiple models (DeepSeek-R1-Distill and QwQ-32B-Preview) and benchmarks (Math500, GSM8K, LiveCodeBench) validate the effectiveness of SEAL, up to a 11% improvement in accuracy while reducing reasoning tokens by 11.8% to 50.4%. Our code is publicly available at https://github.com/VITA-Group/SEAL.
Key facts. Cited by 65 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 25 of its 35 references that are in the map. First posted on arXiv 7 Apr 2025.
Builds on
25 of 35 references.
Closest ancestors · 4
Same direction, newest first
- 2025LLM Pretraining with Continuous Concepts12 Feb
- 2025s1: Simple test-time scaling31 Jan
- 2025Thoughts Are All Over the Place: On the Underthinking of o1-Like LLMs30 Jan
- 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
Other references · 21
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2023Let's Verify Step by Stepcited by 3,598
- 2024Qwen2 Technical Reportcited by 2,076
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
- 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 763
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 618
- 2023Scaling Relationship on Learning Mathematical Reasoning with Large Language Modelscited by 417
- 2024Agentless: Demystifying LLM-based Software Engineering Agentscited by 400
- 2023Describe, Explain, Plan and Select: Interactive Planning with Large Language Models Enables Open-World Multi-Task Agentscited by 396
9 more
- 2023On the Planning Abilities of Large Language Models : A Critical Investigationcited by 308
- 2024Large Language Models for Mathematical Reasoning: Progresses and Challengescited by 283
- 2025AxBench: Steering LLMs? Even Simple Baselines Outperform Sparse Autoencoderscited by 199
- 2024Do Large Language Models Latently Perform Multi-Hop Reasoning?cited by 165
- 2024NATURAL PLAN: Benchmarking LLMs on Natural Language Planningcited by 125
- 2024Debug like a Human: A Large Language Model Debugger via Verifying Runtime Execution Step-by-stepcited by 123
- 2024Fantastic Semantics and Where to Find Them: Investigating Which Layers of Generative LLMs Reflect Lexical Semanticscited by 43
- 2025Taxonomy, Opportunities, and Challenges of Representation Engineering for Large Language Modelscited by 29
- 2024Distributional reasoning in LLMs: Parallel reasoning processes in multi-hop reasoningcited by 21
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Citing papers per year: 2025: 38; 2026: 27.
65 papers.
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- 2025Dynamic Early Exit in Reasoning Modelscited by 217
- 2025Reasoning Beyond Language: A Comprehensive Survey on Latent Chain-of-Thought Reasoningcited by 72
- 2025Don't Overthink It: A Survey of Efficient R1-style Large Reasoning Modelscited by 36
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- 2025Steering LLM Thinking with Budget Guidancecited by 30
- 2025R1-Compress: Long Chain-of-Thought Compression via Chunk Compression and Searchcited by 29
- 2025Beyond Prompt Engineering: Robust Behavior Control in LLMs via Steering Target Atomscited by 23
- 2025Activation Steering for Chain-of-Thought Compressioncited by 22
- 2025ThinKV: Thought-Adaptive KV Cache Compression for Efficient Reasoning Modelscited by 21
- 2025The Geometry of Reasoning: Flowing Logics in Representation Spacecited by 21
- 2025Early Stopping Chain-of-thoughts in Large Language Modelscited by 19
- 2026Does Your Reasoning Model Implicitly Know When to Stop Thinking?cited by 17
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- 2025On Reasoning Strength Planning in Large Reasoning Modelscited by 13
- 2026WS-GRPO: Weakly-Supervised Group-Relative Policy Optimization for Rollout-Efficient Reasoningcited by 12
- 2026PERSONA: Dynamic and Compositional Inference-Time Personality Control via Activation Vector Algebracited by 11
- 2025The First Impression Problem: Internal Bias Triggers Overthinking in Reasoning Modelscited by 10
- 2025Efficient Reasoning Through Suppression of Self-Affirmation Reflections in Large Reasoning Modelscited by 10
- 2025Understanding and Steering the Cognitive Behaviors of Reasoning Models at Test-Timecited by 10
- 2025Exploring and Exploiting the Inherent Efficiency within Large Reasoning Models for Self-Guided Efficiency Enhancementcited by 8
- 2025EasyEdit2: An Easy-to-use Steering Framework for Editing Large Language Modelscited by 7
- 2025Where Did This Sentence Come From? Tracing Provenance in LLM Reasoning Distillationcited by 6
- 2026ATLAS: Verifier-Guided Adaptive Latent Activation Steering for Efficient LLM Reasoningcited by 6
- 2025Thinking-Free Policy Initialization Makes Distilled Reasoning Models More Effective and Efficient Reasonerscited by 5
- 2025SkipKV: Selective Skipping of KV Generation and Storage for Efficient Inference with Large Reasoning Modelscited by 5
- 2025Fantastic Reasoning Behaviors and Where to Find Them: Unsupervised Discovery of the Reasoning Processcited by 5
- 2026Towards a Mechanistic Understanding of Large Reasoning Models: A Survey of Training, Inference, and Failurescited by 5
- 2026The Hidden Signal of Verifier Strictness: Controlling and Improving Step-Wise Verification via Selective Latent Steeringcited by 5
- 2025CyclicReflex: Improving Reasoning Models via Cyclical Reflection Token Schedulingcited by 4
- 2026Beyond Scalars: Evaluating and Understanding LLM Reasoning via Geometric Progress and Stabilitycited by 4
- 2026Efficient Reasoning with Balanced Thinkingcited by 4
- 2025OptScale: Probabilistic Optimality for Inference-time Scalingcited by 3
- 2025Answering the Unanswerable Is to Err Knowingly: Analyzing and Mitigating Abstention Failures in Large Reasoning Modelscited by 3
- 2025LAWCAT: Efficient Distillation from Quadratic to Linear Attention with Convolution across Tokens for Long Context Modelingcited by 3
- 2025Modeling Hierarchical Thinking in Large Reasoning Modelscited by 3
- 2025ReflCtrl: Controlling LLM Reflection Efficiently via Representation Engineeringcited by 3
- 2026Internalizing LLM Reasoning via Discovery and Replay of Latent Actionscited by 3
- 2026Steering Large Reasoning Models towards Concise Reasoning via Flow Matchingcited by 3
- 2026From P(y|x) to P(y): Investigating Reinforcement Learning in Pre-train Spacecited by 3
- 2025Mind the Gap: Bridging Thought Leap for Improved Chain-of-Thought Tuningcited by 2
- 2025Unveiling the Latent Directions of Reflection in Large Language Modelscited by 2
- 2025Distractor Injection Attacks on Large Reasoning Models: Characterization and Defensecited by 2
- 2026Composer Vector: Style-steering Symbolic Music Generation in a Latent Spacecited by 2
- 2026Think Multilingual, Not Harder: A Data-Efficient Framework for Teaching Reasoning Models to Code-Switchcited by 2
- 2026The Shape of Overthinking: Backtracking Bursts in Long Reasoning Tracescited by 2
- 2026DLWM: Diverse Latent World Models for Efficient Multimodal Reasoningcited by 2
- 2025Pedagogy-R1: Pedagogically-Aligned Reasoning Model with Balanced Educational Benchmarkcited by 1
- 2025RepV: Safety-Separable Latent Spaces for Scalable Neurosymbolic Plan Verificationcited by 1
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- 2026Activation-Conditioned Self-Distillation29 Sep 2026
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- 2026SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probing28 Aug 2026
- 2026DLWM: Diverse Latent World Models for Efficient Multimodal Reasoning13 Jun 2026
- 2026xMIx: High-Performance Serving-Time Platform for Mechanistic Interpretability Apps11 Jun 2026
- 2026DyCon: Dynamic Reasoning Control via Evolving Difficulty Modeling5 Jun 2026
- 2026DenseSteer: Steering Small Language Models towards Dense Math Reasoning28 May 2026
- 2026The Shape of Overthinking: Backtracking Bursts in Long Reasoning Traces27 May 2026
- 2026The Hidden Signal of Verifier Strictness: Controlling and Improving Step-Wise Verification via Selective Latent Steering20 May 2026
- 2026Benchmarking and Evolving Reason-Reflect-Rectify for Reflective Visual Generation19 May 2026
- 2026How Do Answer Tokens Read Reasoning Traces? Self-Reading Patterns in Thinking LLMs for Quantitative Reasoning21 Apr 2026
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- 2026Think Multilingual, Not Harder: A Data-Efficient Framework for Teaching Reasoning Models to Code-Switch16 Apr 2026
- 2026From P(y|x) to P(y): Investigating Reinforcement Learning in Pre-train Space15 Apr 2026
- 2026Composer Vector: Style-steering Symbolic Music Generation in a Latent Space3 Apr 2026
- 2026Reliable Control-Point Selection for Steering Reasoning in Large Language Models2 Apr 2026
- 2026Efficient Reasoning with Balanced Thinking12 Mar 2026
- 2026Beyond Scalars: Evaluating and Understanding LLM Reasoning via Geometric Progress and Stability11 Mar 2026
- 2026WS-GRPO: Weakly-Supervised Group-Relative Policy Optimization for Rollout-Efficient Reasoning19 Feb 2026
- 2026PERSONA: Dynamic and Compositional Inference-Time Personality Control via Activation Vector Algebra17 Feb 2026
- 2026Does Your Reasoning Model Implicitly Know When to Stop Thinking?9 Feb 2026
- 2026Steering Large Reasoning Models towards Concise Reasoning via Flow Matching5 Feb 2026
- 2026Internalizing LLM Reasoning via Discovery and Replay of Latent Actions4 Feb 2026
- 2026Beyond Model Scaling: Test-Time Intervention for Efficient Deep Reasoning16 Jan 2026
- 2026Towards a Mechanistic Understanding of Large Reasoning Models: A Survey of Training, Inference, and Failures11 Jan 2026
- 2026ATLAS: Verifier-Guided Adaptive Latent Activation Steering for Efficient LLM Reasoning6 Jan 2026
- 2025Understanding and Steering the Cognitive Behaviors of Reasoning Models at Test-Time31 Dec 2025
- 2025Fantastic Reasoning Behaviors and Where to Find Them: Unsupervised Discovery of the Reasoning Process30 Dec 2025
- 2025Where Did This Sentence Come From? Tracing Provenance in LLM Reasoning Distillation24 Dec 2025
- 2025ReflCtrl: Controlling LLM Reflection Efficiently via Representation Engineering16 Dec 2025
- 2025SkipKV: Selective Skipping of KV Generation and Storage for Efficient Inference with Large Reasoning Models8 Dec 2025
- 2025MENTOR: A Metacognition-Driven Self-Evolution Framework for Uncovering and Mitigating Implicit Domain Risks in LLMs10 Nov 2025
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- 2025RepV: Safety-Separable Latent Spaces for Scalable Neurosymbolic Plan Verification30 Oct 2025
- 2025Can Aha Moments Be Fake? Towards Quantifying Decorative and True Thinking in Chain-of-Thought28 Oct 2025
- 2025Modeling Hierarchical Thinking in Large Reasoning Models25 Oct 2025
- 2025Distractor Injection Attacks on Large Reasoning Models: Characterization and Defense17 Oct 2025
- 2025The Geometry of Reasoning: Flowing Logics in Representation Space10 Oct 2025
- 2025ThinKV: Thought-Adaptive KV Cache Compression for Efficient Reasoning Models1 Oct 2025
- 2025Thinking-Free Policy Initialization Makes Distilled Reasoning Models More Effective and Efficient Reasoners30 Sep 2025
- 2025LAWCAT: Efficient Distillation from Quadratic to Linear Attention with Convolution across Tokens for Long Context Modeling22 Sep 2025
- 2025Early Stopping Chain-of-thoughts in Large Language Models17 Sep 2025
- 2025Answering the Unanswerable Is to Err Knowingly: Analyzing and Mitigating Abstention Failures in Large Reasoning Models26 Aug 2025
- 2025Unveiling the Latent Directions of Reflection in Large Language Models23 Aug 2025
- 2025Don't Overthink It: A Survey of Efficient R1-style Large Reasoning Models4 Aug 2025
- 2025Activation Steering for Chain-of-Thought Compression7 Jul 2025
- 2025OptScale: Probabilistic Optimality for Inference-time Scaling27 Jun 2025
- 2025Adaptive Activation Steering for Efficient LLM Reasoning via Closed-Loop PID Control23 Jun 2025
- 2025Exploring and Exploiting the Inherent Efficiency within Large Reasoning Models for Self-Guided Efficiency Enhancement18 Jun 2025
50 newest of 65 All 65 (JSON)
- 2025Dynamic Early Exit in Reasoning Modelscited by 217
- 2025Reasoning Beyond Language: A Comprehensive Survey on Latent Chain-of-Thought Reasoningcited by 72
- 2025Don't Overthink It: A Survey of Efficient R1-style Large Reasoning Modelscited by 36
- 2025Mitigating Overthinking in Large Reasoning Models via Manifold Steeringcited by 32
- 2025Steering LLM Thinking with Budget Guidancecited by 30
- 2025R1-Compress: Long Chain-of-Thought Compression via Chunk Compression and Searchcited by 29
- 2025Activation Steering for Chain-of-Thought Compressioncited by 22
- 2025ThinKV: Thought-Adaptive KV Cache Compression for Efficient Reasoning Modelscited by 21
- 2025The Geometry of Reasoning: Flowing Logics in Representation Spacecited by 21
- 2025Early Stopping Chain-of-thoughts in Large Language Modelscited by 19
- 2026Does Your Reasoning Model Implicitly Know When to Stop Thinking?cited by 17
- 2025Two Experts Are All You Need for Steering Thinking: Reinforcing Cognitive Effort in MoE Reasoning Models Without Additional Trainingcited by 16
12 most cited of 53 All 53 (JSON)
- 2026MetaCtrl: Your Large Language Models Can Reason Better and More Concisely with a Metacognitive Controller29 Sep 2026
- 2026BeaconKV: Key-Value Cache Compression Guided by Beacon Queries for Efficient Large Reasoning Model Inference4 Sep 2026
- 2026SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probing28 Aug 2026
- 2026DyCon: Dynamic Reasoning Control via Evolving Difficulty Modeling5 Jun 2026
- 2026DenseSteer: Steering Small Language Models towards Dense Math Reasoning28 May 2026
- 2026The Shape of Overthinking: Backtracking Bursts in Long Reasoning Traces27 May 2026
- 2026Benchmarking and Evolving Reason-Reflect-Rectify for Reflective Visual Generation19 May 2026
- 2026How Do Answer Tokens Read Reasoning Traces? Self-Reading Patterns in Thinking LLMs for Quantitative Reasoning21 Apr 2026
- 2026RankGuide: Tensor-Rank-Guided Routing and Steering for Efficient Reasoning17 Apr 2026
- 2026Think Multilingual, Not Harder: A Data-Efficient Framework for Teaching Reasoning Models to Code-Switch16 Apr 2026
- 2026From P(y|x) to P(y): Investigating Reinforcement Learning in Pre-train Space15 Apr 2026
- 2026Reliable Control-Point Selection for Steering Reasoning in Large Language Models2 Apr 2026
12 newest of 53 All 53 (JSON)
- 2025Beyond Prompt Engineering: Robust Behavior Control in LLMs via Steering Target Atomscited by 23
- 2026PERSONA: Dynamic and Compositional Inference-Time Personality Control via Activation Vector Algebracited by 11
- 2025EasyEdit2: An Easy-to-use Steering Framework for Editing Large Language Modelscited by 7
- 2026The Hidden Signal of Verifier Strictness: Controlling and Improving Step-Wise Verification via Selective Latent Steeringcited by 5
- 2025LAWCAT: Efficient Distillation from Quadratic to Linear Attention with Convolution across Tokens for Long Context Modelingcited by 3
- 2025Unveiling the Latent Directions of Reflection in Large Language Modelscited by 2
- 2026Composer Vector: Style-steering Symbolic Music Generation in a Latent Spacecited by 2
- 2025RepV: Safety-Separable Latent Spaces for Scalable Neurosymbolic Plan Verificationcited by 1
- 2026Activation-Conditioned Self-Distillationcited by 0
- 2026Activation-Conditioned Self-Distillation29 Sep 2026
- 2026The Hidden Signal of Verifier Strictness: Controlling and Improving Step-Wise Verification via Selective Latent Steering20 May 2026
- 2026Composer Vector: Style-steering Symbolic Music Generation in a Latent Space3 Apr 2026
- 2026PERSONA: Dynamic and Compositional Inference-Time Personality Control via Activation Vector Algebra17 Feb 2026
- 2025RepV: Safety-Separable Latent Spaces for Scalable Neurosymbolic Plan Verification30 Oct 2025
- 2025LAWCAT: Efficient Distillation from Quadratic to Linear Attention with Convolution across Tokens for Long Context Modeling22 Sep 2025
- 2025Unveiling the Latent Directions of Reflection in Large Language Models23 Aug 2025
- 2025Beyond Prompt Engineering: Robust Behavior Control in LLMs via Steering Target Atoms23 May 2025
- 2025EasyEdit2: An Easy-to-use Steering Framework for Editing Large Language Models21 Apr 2025
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