{"id": "2890c16b240a2a42e5dbe3574416937ba6a7186999f616397837f13766c96021", "sources": ["arxiv"], "title": "Universal Image Restoration via Internalized Chain-of-Thought Reasoning", "abstract": "Image restoration seeks to recover high-quality images from degraded inputs but becomes highly ill-posed under complex, mixed degradations. While unified all-in-one models are common, their performance declines as degradation complexity increases. Recent works adopt Chain-of-Thought (CoT) reasoning for multi-round restoration using specialized modules. However, this approach faces two key limitations: (i) increased computational cost due to multi-step processing, and (ii) weak modeling of interactions between degradations during stepwise inference. We introduce CoTIR, a universal image restoration framework that internalizes CoT reasoning within a single model. Concretely, we view image restoration as a specialized subtask of image editing, which implies that a large-scale pre-trained editing model provides a more favorable optimization starting point. Building on this, we fine-tune the model for restoration and further encode structured CoT-style reasoning into the learning objective via a differentiable formulation inspired by Lagrangian optimization, enabling holistic restoration without chaining specialized restorers. To facilitate training and evaluation, we further present CoTIR-Bench, a large-scale benchmark comprising 5.2 million samples with CoT-style reasoning traces. Extensive experiments on CoTIR-Bench and broad real composite degradation scenes show that CoTIR achieves stronger perceptual quality and more competitive fidelity than both all-in-one models and multi-round restoration methods. The source code is available at https://github.com/gy65896/CoTIR.", "authors": ["Yu Guo", "Zhengru Fang", "Shengfeng He", "Senkang Hu", "Yihang Tao", "Phone Lin", "Yuguang Fang"], "categories": ["cs.CV"], "fields_of_study": [], "published_date": "2026-06-16", "url": "https://arxiv.org/abs/2606.17557", "pdf_url": "https://arxiv.org/pdf/2606.17557v1", "arxiv_id": "2606.17557", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/gy65896/CoTIR", "venue": null, "quality_score": 0.65} {"id": "aa10d74c9c9366ec63ba58301500ee40162177e78d4d18b48b8db82a0e32da4e", "sources": ["arxiv", "semantic_scholar"], "title": "Latent Thought Flow: Efficient Latent Reasoning in Large Language Models", "abstract": "Large Language Models (LLMs) increasingly rely on intermediate reasoning, yet explicit Chain-of-Thought (CoT) suffers from a linguistic space bottleneck: each thought must be decoded into tokens, causing high inference overhead. Latent reasoning moves deliberation into continuous space, but existing methods mostly learn deterministic or reward-maximizing paths, lacking a principled way to allocate probability across trajectories with different correctness and costs. We propose Latent Thought Flow (LTF), which models reasoning as variable-length continuous trajectories and trains a sampler to match a reward-induced posterior over answer quality and computation cost. We instantiate this with a continuous GFlowNet using stochastic latent transitions. To handle sparse answer supervision, we introduce an Entropy-Weighted Subtrajectory Balance objective for intermediate rewards and a reference-prior regularizer to anchor exploration. Experiments under finetuning and transfer learning settings show that LTF outperforms explicit CoT and latent reasoning baselines, improving accuracy by 9.5% while reducing reasoning length by 27.2% on average compared with strong latent reasoning baselines.", "authors": ["Xiandong Zou", "Jing Huang", "Jianshu Li", "Pan Zhou"], "categories": ["cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-15", "url": "https://arxiv.org/abs/2606.16222", "pdf_url": "https://arxiv.org/pdf/2606.16222v1", "arxiv_id": "2606.16222", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "b8bede8aea3a4641efd49163e98de775abc49de3360427548b5df5eac099c686", "sources": ["arxiv", "semantic_scholar"], "title": "RoboPIN: Grounded Embodied Reasoning via Pinned Chain-of-Thought", "abstract": "Embodied reasoning requires models to perceive task-relevant objects and spaces in physical environments and maintain consistent visual grounding throughout multi-step reasoning. However, current vision-language models rely on text-only or coordinate-augmented chain-of-thought, where entity references remain implicit and ambiguous. This may cause the reasoning process to decouple from visual evidence, entity references to drift across steps, and a causal disconnection between the reasoning trajectory and the final answer, with these problems further amplified in multi-view scenarios due to cross-view appearance changes. To address these issues, we propose Pinned Chain-of-Thought (\\pincot{}), a structured reasoning paradigm that pins every reasoning step to visual evidence. \\pincot{} introduces the concept of \\reasoninganchor{}, which binds each task-relevant entity to a structured visual anchor with entity name, unique identity, view index, and spatial grounding, enabling consistent entity tracking across reasoning steps and views. We build a fully automated data generation pipeline to construct \\dataset{}, a high-quality \\pincot{}-formatted reasoning dataset. We then train \\method{} through three-stage post-training that progressively injects embodied knowledge, structured reasoning ability, and process-supervised alignment, with rewards that directly constrain both anchor localization and identity consistency during reasoning. On 14 benchmarks covering embodied spatial reasoning, multi-view reasoning, and pointing, \\method{} with only 4B parameters consistently outperforms 7B level open-source embodied models, achieving a 12\\% average improvement over the strongest 7B baseline, Mimo-Embodied. Further analysis shows that \\pincot{} improves grounding accuracy and cross-step identity consistency, validating the effectiveness of process supervision.", "authors": ["Yaoting Huang", "Yifu Yuan", "Linqi Han", "Chengwen Li", "Shuoheng Zhang", "Xianze Yao", "Hongyao Tang", "Yan Zheng", "Jianye Hao"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-14", "url": "https://arxiv.org/abs/2606.15753", "pdf_url": "https://arxiv.org/pdf/2606.15753v1", "arxiv_id": "2606.15753", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": null, "quality_score": 0.65} {"id": "78e6d85cf4540c86bcccc2db06d052f84252c174e28c72fd7549d3d190dd9830", "sources": ["arxiv", "semantic_scholar"], "title": "Beyond the Commitment Boundary: Probing Epiphenomenal Chain-of-Thought in Large Reasoning Models", "abstract": "Chain-of-thought (CoT) reasoning is the dominant paradigm for inference-time scaling in language models, yet the causal influence of individual steps on the final answer poorly understood. We estimate each step's causal importance via early exit and use this measure to study how answers form across the reasoning traces of several model families. Across diverse tasks, we find that reasoning typically crosses a \\emph{commitment boundary} -- a sharp transition from transient intermediate guesses to a stable, high-confidence answer. This transition often happens in a single step, well before the model's reasoning block ends, and is followed by \\emph{epiphenomenal} CoT steps that leave the final answer probability unaltered. Using attention probes, we show that answer-formation stages can be linearly decoded from intermediate reasoning steps with high accuracy and generalize robustly to unseen reasoning tasks. We exploit this signal to early-exit reasoning blocks at the commitment boundary, reducing the length of CoTs up to 55\\% on average with negligible impact on model performance.", "authors": ["Daniel Scalena", "Sara Candussio", "Luca Bortolussi", "Elisabetta Fersini", "Malvina Nissim", "Gabriele Sarti"], "categories": ["cs.LG", "cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-11", "url": "https://arxiv.org/abs/2606.13603", "pdf_url": "https://arxiv.org/pdf/2606.13603v1", "arxiv_id": "2606.13603", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "4a1b4dea4dbec85e251a1e996f085f8fd2de1cebee214d614fb5b2825b278221", "sources": ["arxiv", "semantic_scholar"], "title": "AVIS: Adaptive Test-Time Scaling for Vision-Language Models", "abstract": "Modern Vision-Language Models (VLMs) benefit from chain-of-thought prompting and test-time scaling, but these gains often come with prohibitive inference cost due to large visual contexts and long decoding chains. We view this cost through two coupled axes: Visual Context Scaling (VCS), which controls how much visual evidence is passed to the language model, and Visual Reasoning Scaling (VRS), which controls how much inference-time reasoning search is performed. Existing methods typically optimize one axis at a time, leaving the joint allocation of compute across these axes underexplored. We introduce Adaptive Visual Inference Scaling (AVIS), a lightweight policy that adapts both VCS and VRS per query. AVIS realizes VCS through Key Diversity Visual (KDV) pruning, a training-free $O(N)$ key-based rule for removing redundant visual tokens before prefilling, and realizes VRS through adaptive self-consistency, using a learned difficulty predictor to select the number of reasoning rollouts. AVIS is deployment-friendly and compatible with shared-prefill inference, where all rollouts reuse a single prefilling pass and KV cache. Across diverse image and video reasoning benchmarks, AVIS improves the accuracy--compute trade-off relative to VCS-only and VRS-only baselines, and remains effective on top of RL post-trained VLMs while keeping compute and latency low.", "authors": ["Ahmadreza Jeddi", "Minh Ngoc Le", "Amirhossein Kazerouni", "Hakki Can Karaimer", "Hue Nguyen", "Iqbal Mohomed", "Michael Brudno", "Alex Levinshtein", "Konstantinos G. Derpanis", "Babak Taati", "Radek Grzeszczuk"], "categories": ["cs.CV", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-10", "url": "https://arxiv.org/abs/2606.11576", "pdf_url": "https://arxiv.org/pdf/2606.11576v1", "arxiv_id": "2606.11576", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "aa3334c4d32fd7c1cc7ccc544cfa0e5a1a255207a16c4eb8e1ca08c33928a946", "sources": ["arxiv", "semantic_scholar"], "title": "TVI-CoT: Text-Visual Interleaved Chain-of-Thought Reasoning for Multimodal Understanding", "abstract": "Chain-of-thought (CoT) reasoning has proven effective for enhancing problem-solving in large language models. However, when applied to multimodal LLMs (MLLMs), existing CoT approaches suffer from a fundamental limitation: they perform reasoning entirely in text without accessing visual features during the reasoning process. After initial visual encoding, image information becomes inaccessible, forcing models to reason based solely on whatever was captured in the initial description, which forms a `vision-blind reasoning' paradigm that limits fine-grained visual extraction, error verification, and adaptive attention. We propose Text-Visual Interleaved Chain-of-Thought (TVI-CoT), a framework that enables explicit interleaving of textual reasoning and visual feature access through learnable control tokens , and . These tokens allow dynamic switching between reasoning and visual grounding, attending to relevant image regions conditioned on the evolving reasoning state. Experiments on eight benchmarks demonstrate state-of-the-art results among MLLM-based CoT methods and notable performance boost compared to the baseline: +6.1% on MMMU, +3.8% on MathVerse, +3.4% on MathVista, and +3.4% on ScienceQA. Code is available at https://github.com/hulianyuyy/TVI-CoT.", "authors": ["Lianyu Hu", "Xiaoyu Ma", "Zeqin Liao", "Yang Liu"], "categories": ["cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-07", "url": "https://arxiv.org/abs/2606.08464", "pdf_url": "https://arxiv.org/pdf/2606.08464v1", "arxiv_id": "2606.08464", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/hulianyuyy/TVI-CoT", "venue": null, "quality_score": 0.65} {"id": "ed6d36c1b4ca3432beff5959ef1c752cc688989dc5485d27e74b69585769a9a5", "sources": ["arxiv", "semantic_scholar"], "title": "ThinkBooster: A Unified Framework for Seamless Test-Time Scaling of LLM Reasoning", "abstract": "Test-time compute (TTC) scaling has emerged as a powerful paradigm for improving large language model (LLM) reasoning by allocating additional compute during inference, e.g., via multi-sample generation and verifier-based reranking. Existing TTC scaling strategies and reasoning scorers remain fragmented, evaluated under inconsistent protocols, and are rarely analyzed through the lens of quality-cost trade-offs. We introduce ThinkBooster, a unified framework for seamless test-time compute scaling of LLM reasoning, which consists of (i) a modular Python library implementing state-of-the-art TTC scaling strategy and scorer families, (ii) a benchmark that jointly evaluates performance and computational efficiency, and (iii) a deployable OpenAI-compatible proxy service that enables drop-in integration of adaptive reasoning into real-world applications. We further provide a demo visual debugger for inspecting the reasoning trajectories, intermediate selection decisions, and alternative reasoning paths. Empirical results on mathematical and coding tasks reveal the performance-compute trade-offs of TTC scaling strategies and scoring methods and demonstrate that ThinkBooster provides practical gains in real-world tasks. The code is available online under an MIT license.", "authors": ["Vladislav Smirnov", "Chieu Nguyen", "Sergey Senichev", "Minh Ngoc Ta", "Ekaterina Fadeeva", "Artem Vazhentsev", "Daria Galimzianova", "Nikolai Rozanov", "Viktor Mazanov", "Jingwei Ni", "Tianyi Wu", "Igor Kiselev", "Mrinmaya Sachan", "Iryna Gurevych", "Preslav Nakov", "Timothy Baldwin", "Artem Shelmanov"], "categories": ["cs.CL", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-05", "url": "https://arxiv.org/abs/2606.06915", "pdf_url": "https://arxiv.org/pdf/2606.06915v2", "arxiv_id": "2606.06915", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": null, "quality_score": 0.65} {"id": "b29ed21a15ec1c1081dac4ebf79b2a09aba73dafef9e52d43d37eb5f23716726", "sources": ["arxiv", "semantic_scholar"], "title": "VTI-CoT: Visual-Textual Interleaved Chain of Thought for Video Reasoning", "abstract": "Video reasoning aims to understand complex temporal events and causal relationships within videos. Recently, Chain-of-Thought (CoT) has been introduced to this field to enhance reasoning accuracy. However, existing CoT-based video reasoning methods primarily rely on text-only information for logical deduction, overlooking critical visual information during the inference process. Inspired by the human cognitive mechanism of reviewing visual segments during inference, we propose VTI-CoT, a Visual-Textual Interleaved CoT framework. VTI-CoT integrates textual reasoning steps with corresponding visual frames. Given the scarcity of visual-textual interleaved CoT in existing datasets, we develop an automated annotation pipeline to construct high-quality multimodal CoT data. Further, reasoning over long-form videos entails increasingly long CoT token sequences, which severely hinders training convergence and efficiency. To address this, we employ Optical Character Recognition (OCR)-based compression techniques to compress CoT supervision signals into a single canvas. Experimental results demonstrate that VTI-CoT achieves state-of-the-art performance among models of the same parameter scale while significantly improving training efficiency.", "authors": ["Shufan Zhang", "Ziyue Lin", "Bairun Wang", "Lei Jin", "Xuanding Ding", "Xinzhu Ma", "Kunlin Yang"], "categories": ["cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-04", "url": "https://arxiv.org/abs/2606.05736", "pdf_url": "https://arxiv.org/pdf/2606.05736v1", "arxiv_id": "2606.05736", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "604514446b2f6a04aa58fff8b494679bdbe18cd5dfa9b5dcfc5d034cffd4b1f3", "sources": ["arxiv", "semantic_scholar"], "title": "Closing the Loop on Latent Reasoning via Test-Time Reconstruction", "abstract": "Recent work moves intermediate reasoning from natural-language traces into latent or cache-level representations to reduce token overhead and avoid a discrete communication bottleneck. However, this shift also removes a key advantage of textual reasoning: intermediate states are no longer inspectable, making it difficult to determine whether a latent state still preserves the constraints of the original query. As a result, latent reasoning typically operates in an open loop, where a latent state is produced and consumed without an input-anchored fidelity check. We propose ReLAT (Reconstruction-Guided Latent Reasoning At Test Time), a self-supervised test-time training method that closes this loop using the query itself as the reference. Our key observation is that if a latent state faithfully represents a query, the query should be recoverable from it; if the query cannot be recovered, the latent state has lost task-relevant information. ReLAT operationalizes this principle by constructing a differentiable Question -> Latent Thought -> Question cycle and optimizing query reconstruction loss through the latent thought before answer generation. This anchors opaque latent computation to the problem specification it is supposed to represent. Across mathematical reasoning, knowledge QA, and code generation benchmarks on the Qwen family, ReLAT consistently improves over single-model inference, text-based collaboration, open-loop latent collaboration, and alternative test-time training objectives. On Qwen3-8B, ReLAT raises AIME 2024 accuracy from 56.7% to 73.3%, a 16.6-point gain over the strongest open-loop latent baseline.", "authors": ["Xiaopeng Yuan", "Haibo Jin", "Ye Yu", "Peng Kuang", "Lijun Yu", "Yushun Dong", "Haohan Wang"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-04", "url": "https://arxiv.org/abs/2606.06252", "pdf_url": "https://arxiv.org/pdf/2606.06252v1", "arxiv_id": "2606.06252", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "bffd920975cdc13173cc31903a03cdaf9c70d1ae6cd1e448d6f336c287cbdceb", "sources": ["arxiv", "semantic_scholar"], "title": "Test-Time Compute Scaling for ASR with Depth-Conditioned Looped Transformers", "abstract": "End-to-end ASR systems typically use fixed-depth acoustic encoders at inference, making it difficult to trade additional test-time computation for improved recognition without training a larger model. A natural approach is to reuse a shared Transformer block recurrently, but we find that naive looping does not fully exploit additional recurrent compute. We introduce LARM, a depth-conditioned looped Transformer that turns recurrent encoder depth into a controllable test-time compute axis. LARM combines sparse CTC checkpoints, supervision-clock embeddings, FiLM depth conditioning, and delayed soft-posterior feedback. These components structure the loop into recognition checkpoints separated by latent refinement phases and allow shared weights to specialize across recurrent steps. On LibriSpeech, LARM improves WER as the number of inference loops increases and achieves performance competitive with deeper unshared-parameter baselines. Our results show that test-time compute scaling can extend beyond autoregressive language-model reasoning to continuous non-autoregressive speech recognition.", "authors": ["Yacouba Kaloga", "Shashi Kumar", "Shakeel A. Sheikh", "Driss Khalil", "Petr Motlicek", "Ina Kodrasi"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-03", "url": "https://arxiv.org/abs/2606.04678", "pdf_url": "https://arxiv.org/pdf/2606.04678v2", "arxiv_id": "2606.04678", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "14df81b06c0375a689285c596d4ad587399121fd928d5e1bfd23c95de1541d12", "sources": ["arxiv", "semantic_scholar"], "title": "HybridThinker: Efficient Chain-of-Thought Reasoning via Compressed Memory and Transient Thought Steps", "abstract": "Extended chain-of-thought (CoT) traces improve LLM reasoning but incur substantial computational and memory costs. While existing CoT compression methods mitigate this by condensing thought steps into compact representations via memory tokens and retaining only these representations at inference time, the loss of fine-grained information makes subsequent steps more error-prone. To alleviate this, we propose \\textbf{HybridThinker}, where in addition to preserved these representations, thought steps are also temporarily retained to provide fine-grained details. However, we observe that naively keeping thought steps accessible to subsequent steps \\emph{during training} lets the model bypass memory tokens by retrieving information directly from these steps, leaving the model's ability to compress and retrieve information through memory tokens insufficiently trained. We therefore introduce a hybrid training scheme, in which only some thought steps are directly accessible through attention to subsequent steps, while the other thought steps are masked, forcing the model to use memory tokens for compression and retrieval. Across 4 reasoning benchmarks, HybridThinker matches the uncompressed baseline, advancing the state of the art in CoT compression by 5.8 points on average accuracy with similar inference time. Ablation studies confirm that both temporary thought-step retention and the hybrid training scheme contribute to these gains.", "authors": ["Xin Liu", "Runsong Zhao", "Xinyu Liu", "Junhao Ruan", "Pengcheng Huang", "Shichao Dong", "Chunyang Xiao", "Chenglong Wang", "Changliang Li", "Jingbo Zhu", "Tong Xiao"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-02", "url": "https://arxiv.org/abs/2606.03768", "pdf_url": "https://arxiv.org/pdf/2606.03768v1", "arxiv_id": "2606.03768", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "3334d58c7548bd50708ee71a66f46205f0fec1bc22f88e899b0da4ac4f9c6d0a", "sources": ["arxiv", "semantic_scholar"], "title": "Agentic Chain-of-Thought Steering for Efficient and Controllable LLM Reasoning", "abstract": "Large language models improve final-answer accuracy through extended chain-of-thought reasoning, but often spend tokens inefficiently and offer little inference-time control. Existing efficient reasoning methods control thinking length by shortening, early-stopping, or compressing traces, leaving how the model thinks implicit. In this paper, we propose Agentic Chain-of-Thought Steering (ACTS), which formulates reasoning steering as a Markov decision process where a controller agent adaptively steers a frozen reasoner during inference. At each step, the controller observes the reasoning trace and remaining thinking budget, then issues a steering action consisting of a reasoning strategy and a steering phrase that initiates the next reasoner step. This enables budget-aware strategy control for efficient reasoning while preserving the reasoner's generation continuity. We initialize the controller agent from our constructed synthetic steering trajectories with multi-budget augmentation, and further optimize it via reinforcement learning with budget-conditioned reward shaping. Experiments across multiple benchmarks show that ACTS matches full-thinking performance with substantial token savings, and enables controllable accuracy-efficiency trade-offs across different reasoners and tasks. The code is available at https://github.com/Andree-9/ACTS.", "authors": ["Yu Xia", "Zhouhang Xie", "Xin Xu", "Byungkyu Kang", "Prarit Lamba", "Xiang Gao", "Julian McAuley"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-02", "url": "https://arxiv.org/abs/2606.03965", "pdf_url": "https://arxiv.org/pdf/2606.03965v1", "arxiv_id": "2606.03965", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/Andree-9/ACTS", "venue": null, "quality_score": 0.65} {"id": "877194799d6a291a62d5389c2083cb61ff34c39196b810133a44238a05873085", "sources": ["arxiv", "semantic_scholar"], "title": "Unveiling the Entropy Dynamics of Chain-of-Thought Reasoning", "abstract": "This paper investigates the entropy dynamics of Chain-of-Thought (CoT) and uncovers a consistent two-phase structure: an Uncertainty Region of exploration transitioning sharply to a Confidence Region of convergence. We demonstrate that the Confidence Region possesses two critical properties: 1) High Reliability -- answers in the confidence region become highly accurate and stable, and 2) High Redundancy -- models generate unnecessary tokens long after reaching the correct answer. These properties unlock more efficient and reliable inference strategies: 1) Early Exit leverages reliability and redundancy to terminate computation safely when returns diminish, and 2)Test-Time Scaling uses the Confidence Region signal to prioritize converged trajectories. To operationalize these insights, we formulate Confidence Region detection as a sequential change-point detection problem, being the first to apply classical change-point methods to monitor CoT reasoning. Using the Cumulative Sum (CUSUM) algorithm, a statistically optimal change-point detector, we develop a training-free framework for real-time inference control. Experiments show our approach establishes a superior Pareto-frontier for early exit. CUSUM achieves 63.06% accuracy with 11.1% token reduction, outperforming DEER and Dynasor by 3.28% and 4.36% in accuracy respectively. For test-time scaling, CUSUM-weighted voting consistently outperforms self-consistency.", "authors": ["Ting Xu", "Xu He", "Yupu Lu", "Jiankai Sun", "Dong Li", "Wai Lam", "Jianye Hao"], "categories": ["cs.CL", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-01", "url": "https://arxiv.org/abs/2606.02020", "pdf_url": "https://arxiv.org/pdf/2606.02020v1", "arxiv_id": "2606.02020", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "4b2836c5545119e8dce572ec418d7525212188a54dde882d7e75f61f888d0e1c", "sources": ["arxiv", "semantic_scholar"], "title": "Spectral-Progressive Thought Flow for Lightweight Multimodal Reasoning", "abstract": "Multimodal spatial reasoning often relies on long chains of intermediate textual and visual thoughts, where accumulating visual tokens and dense cross-modal attention incur substantial computation and memory overhead. To address this challenge, we propose Spectral-Progressive Thought Flow (SpecFlow), a novel lightweight multimodal spatial reasoning framework that represents intermediate visual thoughts in a fixed-size discrete cosine space. By exploiting strong energy compaction, SpecFlow preserves global layout and relational structure while introducing high-frequency details only when increased spatial precision is required. To align visual state evolution with linguistic intent, classifier-free guidance enables autoregressive textual thoughts to steer flow-based updates of the visual workspace/state without expanding the context. As a result, SpecFlow maintains a bounded visual workspace whose updates depend only on the current visual state and accumulated textual trace, enabling long-horizon inference with stable latency and memory usage independent of reasoning depth. Empirical results show that SpecFlow achieves competitive or superior reasoning performance while reducing computation and KV cache costs by up to 2.1 times.", "authors": ["Yixian Shen", "Zhiheng Yang", "Qi Bi", "Changshuo Wang", "Shuai Wang", "Jia-Hong Huang", "George Floros", "Prayag Tiwari", "Anuj Pathania"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-06-01", "url": "https://arxiv.org/abs/2606.02842", "pdf_url": "https://arxiv.org/pdf/2606.02842v1", "arxiv_id": "2606.02842", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "c33f5f383762c8669c600081a7a157e4f1280bbad20e52bdc64954473f2ef74b", "sources": ["arxiv", "semantic_scholar"], "title": "Echoes within the Reasoning: Stealthy and Effective Watermarking via Chain of Thought", "abstract": "Large Language Models with Chain-of-Thought reasoning capabilities represent valuable intellectual property, yet existing black-box watermarking methods often trade robustness for reasoning fidelity by perturbing final answers or relying on fragile trigger patterns. We propose BiCoT, a watermarking framework that embeds ownership signals into the internal geometry of reasoning traces by aligning high-saliency structural anchors with a private signature subspace while regularizing ordinary control tokens to preserve semantic capacity. This design couples the watermark with reasoning-relevant representations, making removal difficult without disrupting the features that support coherent reasoning. To enable verification under model theft and representation drift, we introduce Robust Subspace Registration (RSR), a Top- logprob-based black-box verifier that uses sentinel tokens to calibrate systematic shifts in the output distribution. Experiments show that BiCoT preserves reasoning fidelity across diverse complex reasoning tasks while achieving robust detection under fine-tuning, quantization, model-level perturbations, and adaptive output-level attacks across in-domain and out-of-distribution settings.", "authors": ["Jiacheng Lu", "Yiming Li", "Tao Song", "Weijian Wang", "Wenjie Qu", "Haibing Guan", "Jiaheng Zhang"], "categories": ["cs.CR", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-27", "url": "https://arxiv.org/abs/2605.28890", "pdf_url": "https://arxiv.org/pdf/2605.28890v1", "arxiv_id": "2605.28890", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "c2d64e9668a6a5023bd78f4679b2644a212d8b6cdf13d420c3a46a00b6644901", "sources": ["arxiv", "semantic_scholar"], "title": "Boosting Inference with Guided Reasoning: Stochastic Exploration for Recursive Models", "abstract": "Recent work on recursive architectures has shown that tiny neural networks can be surprisingly powerful on structured reasoning tasks. The trick is to model reasoning trajectories with a latent dynamical system. We argue that the inference-time behaviour of these architectures is best understood as approximate inference over latent reasoning trajectories, with deterministic recursion as the one-particle, zero-noise limit. We make this view operational through guided stochastic exploration: stochastic perturbations of the reasoning dynamics propose neighbouring trajectories, and the model's existing early-stopping head reweights them online. The framework yields three label-free diagnostics: local stability, guide alignment, and cloud-token entropy. These predict, from inference traces alone, whether the procedure will help and which of its outputs to trust. On Sudoku-Extreme it lifts exact-solve accuracy from $85.9\\%$ to $98.0\\%$ without retraining; on Maze-Hard the diagnostics flag a misaligned guide, as validation performance later confirms. The same machinery thus characterises both when recursive reasoning has room to improve at the trajectory level and when the model's internal guide can recover it.", "authors": ["Andrew Corbett", "Archit Sood", "Anna Tzatzopoulou", "Sai-Aakash Ramesh", "Tim Dodwell"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-24", "url": "https://arxiv.org/abs/2605.25230", "pdf_url": "https://arxiv.org/pdf/2605.25230v2", "arxiv_id": "2605.25230", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "16fb0e7b90437465881ebb2faa0330f209a148002c2992b4225f6aed1fed93e4", "sources": ["arxiv", "semantic_scholar"], "title": "Pause and Reflect: Conformal Aggregation for Chain-of-Thought Reasoning", "abstract": "Chain-of-thought (CoT) reasoning with self-consistency improves performance by aggregating multiple sampled reasoning paths. In this setting, correctness is no longer tied to a single reasoning trace but to the aggregation rule over a pool of candidate paths, making aggregation uncertainty the central challenge. This issue is critical where confidently incorrect answers are far more costly than abstentions. We introduce a conformal procedure for CoT reasoning that directly addresses aggregation uncertainty. Our approach replaces majority voting with weighted score aggregation over reasoning paths and calibrates an abstention rule using conformal risk control. This approach leads to finite-sample guarantees on the confident-error rate--the probability that the system answers and is wrong. We further identify score separability as the key condition under which abstention provably improves selective accuracy, and derive closed-form expressions that predict accuracy gains from calibration data alone. The method is fully inference-time, and requires no retraining. Across four benchmarks, four open-source models, and three score classes, realized confident-error rates are consistent with the prescribed targets up to calibration-split and test-set variability. Our method achieves $90.1\\%$ selective accuracy on GSM8K by abstaining on less than $5\\%$ of problems, compared with $82\\%$ accuracy under majority-voting baseline.", "authors": ["Yu Gu", "Zijun Yu", "Vahid Partovi Nia", "Masoud Asgharian"], "categories": ["stat.ML", "cs.CL", "cs.LG"], "fields_of_study": ["Mathematics", "Computer Science"], "published_date": "2026-05-13", "url": "https://arxiv.org/abs/2605.14098", "pdf_url": "https://arxiv.org/pdf/2605.14098v1", "arxiv_id": "2605.14098", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": null, "quality_score": 0.65} {"id": "420073b4bdbb37ead37537d90ff681b7b79452fbf14c0877a11b1170a485f8c7", "sources": ["arxiv", "semantic_scholar"], "title": "Drop the Act: Probe-Filtered RL for Faithful Chain-of-Thought Reasoning", "abstract": "Reasoning models post-hoc rationalize answers they have already committed to internally, producing chains of *reasoning theater*: deliberative-looking steps that contribute nothing to correctness. This wastes inference tokens, pollutes interpretability, and obscures what the model actually computed. We introduce **ProFIL** (**Pro**be-**Fil**tered Reinforcement Learning) to *reduce theater, increase chain-of-thought faithfulness, and shrink chain length* in a single, drop-in extension to Group Relative Policy Optimization (GRPO). A multi-head attention probe is trained *once* on the *frozen* base model to detect post-commitment steps from internal activations alone; during GRPO, rollouts whose probe score exceeds a threshold have their advantage zeroed. *Our central finding is that a probe trained on a frozen base, with verifier-derived labels and no human annotation, provides a stable signal that suppresses theater while resisting the RL-obfuscation failure mode predicted by prior work.* Across four reasoning domains (GSM8K, LiveCodeBench, ToolUse, MMLU-Redux) and two model architectures (Llama-8B, Qwen-7B), ProFIL reduces post-commitment theater by **11--100%**, raises faithful-fraction (e.g., +24pp on LiveCodeBench under an independent Claude 3.7 Sonnet judge), and shortens chains by 4--19%, all while preserving or improving task accuracy. ProFIL also beats a matched length-penalty GRPO baseline, isolating the gain as semantic commitment-detection rather than chain compression. Probe weights, training configurations, and rollouts are released across all four domains.", "authors": ["Swapnil Parekh"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-12", "url": "https://arxiv.org/abs/2605.11467", "pdf_url": "https://arxiv.org/pdf/2605.11467v1", "arxiv_id": "2605.11467", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "a67c077356fcb5fc93431e9d3285cbf424040872c4410515229a86ea512153e2", "sources": ["arxiv", "semantic_scholar"], "title": "TMAS: Scaling Test-Time Compute via Multi-Agent Synergy", "abstract": "Test-time scaling has become an effective paradigm for improving the reasoning ability of large language models by allocating additional computation during inference. Recent structured approaches have further advanced this paradigm by organizing inference across multiple trajectories, refinement rounds, and verification-based feedback. However, existing structured test-time scaling methods either weakly coordinate parallel reasoning trajectories or rely on noisy historical information without explicitly deciding what should be retained and reused, limiting their ability to balance exploration and exploitation. In this work, we propose TMAS, a framework for scaling test-time compute via multi-agent synergy. TMAS organizes inference as a collaborative process among specialized agents, enabling structured information flow across agents, trajectories, and refinement iterations. To support effective cross-trajectory collaboration, TMAS introduces hierarchical memories: the experience bank reuses low-level reliable intermediate conclusions and local feedback, while the guideline bank records previously explored high-level strategies to steer subsequent rollouts away from redundant reasoning patterns. Furthermore, we design a hybrid reward reinforcement learning scheme tailored to TMAS, which jointly preserves basic reasoning capability, enhances experience utilization, and encourages exploration beyond previously attempted solution strategies. Extensive experiments on challenging reasoning benchmarks show that TMAS achieves stronger iterative scaling than existing test-time scaling baselines, with hybrid reward training further improving scaling effectiveness and stability across iterations. Code and data are available at https://github.com/IQuestLab/tmas.", "authors": ["George Wu", "Nan Jing", "Qing Yi", "Chuan Hao", "Ming Yang", "Feng Chang", "Yuan Wei", "Jian Yang", "Ran Tao", "Bryan Dai"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-11", "url": "https://arxiv.org/abs/2605.10344", "pdf_url": "https://arxiv.org/pdf/2605.10344v2", "arxiv_id": "2605.10344", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/IQuestLab/tmas", "venue": null, "quality_score": 0.65} {"id": "e3060e2c4073895799c97c486c0eefeb178b6dd640de0672ae62ce0c9661c674", "sources": ["arxiv", "semantic_scholar"], "title": "Latent Chain-of-Thought Improves Structured-Data Transformers", "abstract": "Chain-of-thought and more broadly test-time compute are known to augment the expressive capabilities of language models and have led to major innovations in reasoning. Motivated by this success, this paper explores latent chain-of-thought as well as the impact of depth and looping for time-series and tabular data. We propose a recurrent scheme in which a structured-data transformer, after an initial forward pass, compresses its query-position hidden states into feedback tokens that are appended to the input and processed again, allowing multiple rounds of latent computation before prediction. We compare CoT models against a same-depth no-CoT baseline, a deeper baseline matched to the CoT model in effective depth, and a looped transformer with weight-tied recurrence but no additional chain-of-thought tokens. Across 36 datasets in time-series forecasting and tabular prediction, latent chain-of-thought improves over the baseline on 7/9 time-series datasets (+12.63\\% average gain) and 23/27 tabular datasets (+3.25\\% average gain), with CoT models performing best on average in both settings. We also show that the benefit of CoT extends to pretrained foundation models: applying latent CoT to nanoTabPFN, a small open-source tabular foundation model, improves its performance above the much larger TabPFN-v2 on TabArena. Together, these results demonstrate that chain-of-thought is a useful axis for scaling test-time compute for structured data.", "authors": ["Carson Dudley", "Samet Oymak"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-11", "url": "https://arxiv.org/abs/2605.11262", "pdf_url": "https://arxiv.org/pdf/2605.11262v2", "arxiv_id": "2605.11262", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": null, "quality_score": 0.65} {"id": "0892fb3b57067ca316c2839e47243fc786bd9064f3689608064faefa9f258e80", "sources": ["arxiv", "semantic_scholar"], "title": "Rethinking Dense Sequential Chains: Reasoning Language Models Can Extract Answers from Sparse, Order-Shuffling Chain-of-Thoughts", "abstract": "Modern reasoning language models generate dense, sequential chain-of-thought traces implicitly assuming that every token contributes and that steps must be consumed in order. We challenge both assumptions through a systematic intervention pipeline--removal, masking, shuffling, and noise injection--applied to model-generated reasoning chains across three models and three benchmarks. Our findings are counterintuitive on three dimensions. Order: Does the sequential order of a reasoning chain matter for answer extraction? No--line-level shuffling reduces accuracy by less than 0.5 pp; word-level shuffling retains 62%-89% accuracy; only token-level shuffling collapses to near zero. Pretrained-only and instruction-tuned variants exhibit near-identical tolerance (78.67% vs. 78.00% under line shuffling), indicating order-independence originates from pretraining rather than reasoning-specific fine-tuning. Dense: Is all the information in a reasoning chain important for answer extraction? No--masking numeric digits collapses accuracy to exactly 0%, while masking alphabetic prose improves accuracy by 4.7 pp. Robustness: Is a reasoning chain that is both order-shuffling and non-dense still robust? Yes--the most aggressively reduced representation (all natural language removed, lines arbitrarily shuffled) still achieves 83% accuracy, and injecting false answers at 3x true-answer frequency leaves accuracy unchanged (83.3%->83.3%), falsifying a frequency-based extraction account. These results establish that answer extraction operates on a sparse, order-insensitive, and structurally robust informational substrate, opening paths toward parallelized and token-efficient reasoning generation.", "authors": ["Yi-Chang Chen", "Feng-Ting Liao", "Da-shan Shiu", "Hung-yi Lee"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-08", "url": "https://arxiv.org/abs/2605.07307", "pdf_url": "https://arxiv.org/pdf/2605.07307v1", "arxiv_id": "2605.07307", "doi": null, "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "0a0a80a69160bdc2ced10db021442478c4a639fbd174b5ac4d63b5bb17795f8e", "sources": ["arxiv", "semantic_scholar"], "title": "Multi-Agent Reasoning Improves Compute Efficiency: Pareto-Optimal Test-Time Scaling", "abstract": "Advances in inference methods have enabled language models to improve their predictions without additional training. These methods often prioritize raw performance over cost-effective compute usage. However, computational efficiency is key for real-world applications with resource constraints. We provide a systematic analysis of the inference scaling strategies self-consistency, self-refinement, multi-agent debate, and mixture-of-agents, to study their computational performance tradeoffs. We evaluate methods on two reasoning benchmarks (MMLU-Pro, BBH) and include extensive parameter configurations (e.g., scaling the number of parallel predictions, agents, and debate rounds) across different model sizes. Across 34 configurations and over 100 evaluations, we compute the Pareto-optimal front to select methods that achieve the best accuracy with the lowest computational budget. Notably, inference scaling improves accuracy by up to +7.1% points over chain-of-thought at the highest evaluated budgets (20x the CoT compute budget) on MMLU-Pro. With an equal computing budget, debate and mixture-of-agents outperform self-consistency by 1.3% and 2.7% points, respectively. While self-consistency saturates earlier, multi-agent gains persist, particularly on more complicated tasks. We identify a simple multi-agent design guideline: mixture-of-agents is most efficient when the number of parallel generations exceeds the number of sequential aggregations.", "authors": ["Florian Valentin Wunderlich", "Lars Benedikt Kaesberg", "Jan Philip Wahle", "Terry Ruas", "Bela Gipp"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-05-02", "url": "https://arxiv.org/abs/2605.01566", "pdf_url": "https://arxiv.org/pdf/2605.01566v1", "arxiv_id": "2605.01566", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "54fbf8078843e7f03d3f2db7716cf9ca732718f908a9a3cdb90d8f8fc7ee1202", "sources": ["arxiv", "semantic_scholar"], "title": "Compute Aligned Training: Optimizing for Test Time Inference", "abstract": "Scaling test-time compute has emerged as a powerful mechanism for enhancing Large Language Model (LLM) performance. However, standard post-training paradigms, Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL), optimize the likelihood of individual samples under a base policy, creating a misalignment with test time procedures that rely on aggregated or filtered outputs. In this work, we propose Compute Aligned Training, which aligns training objectives with test-time strategies. By conceptualizing inference strategies as operators on the base policy, we derive new loss functions that maximize performance when said strategies are applied. We instantiate such loss functions for SFT and RL across common test time strategies. Finally, we provide empirical evidence that this training method substantially improves test time scaling over standard training.", "authors": ["Adam Ousherovitch", "Ambuj Tewari"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-27", "url": "https://arxiv.org/abs/2604.24957", "pdf_url": "https://arxiv.org/pdf/2604.24957v2", "arxiv_id": "2604.24957", "doi": "10.48550/arXiv.2604.24957", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.55} {"id": "10e315a723d507675407e7cabe22dca1f1ce2b3425fe98cf76442f6089c7bd8e", "sources": ["arxiv", "semantic_scholar"], "title": "Thoughts-as-Planning: Latent World Models for Chain-of-Thoughts Optimization via Reinforcement Planning", "abstract": "The success of large language models (LLMs) across diverse NLP tasks has elevated the importance of reasoning chain optimization as a critical step in aligning model behavior with task objectives. Existing reasoning chain tuning methods often rely on black-box heuristics or gradient-free search, which lack interpretability, generalization, and sample efficiency. In this work, we introduce \\textbf{Thoughts-as-Planning}, a novel framework that formalizes reasoning chain optimization as a sequential decision-making process over a latent semantic space. We model the LLM as a partially observable environment and learn a latent world model that simulates the effect of reasoning chain edits on downstream outputs. A proximity-preserving embedding space is constructed to encode reasoning chain-response dynamics, enabling planning via gradient descent or reinforcement learning. Our method supports multi-scale abstraction, allowing reasoning chain edits at token, segment, and instruction levels to be integrated into a unified planner. Through extensive experiments on language understanding and generation tasks, we demonstrate that Thoughts-as-Planning outperforms state-of-the-art reasoning chain tuning baselines in efficiency, robustness, and generalization, while offering interpretability through its structured planning trajectory. Our code is available at https://github.com/FastLM/Thoughts-as-Planning.", "authors": ["Dong Liu", "Yanxuan Yu", "Ying Nian Wu"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science", "Biology"], "published_date": "2026-04-27", "url": "https://arxiv.org/abs/2605.28842", "pdf_url": "https://arxiv.org/pdf/2605.28842v1", "arxiv_id": "2605.28842", "doi": "10.64898/2026.05.10.724161", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/FastLM/Thoughts-as-Planning", "venue": "bioRxiv", "quality_score": 0.85} {"id": "7920ca456a052177f62b072204a767269b1a6d90d416b483311c63f74182c9db", "sources": ["arxiv", "semantic_scholar"], "title": "Ulterior Motives: Detecting Misaligned Reasoning in Continuous Thought Models", "abstract": "Chain-of-Thought (CoT) reasoning has emerged as a key technique for eliciting complex reasoning in Large Language Models (LLMs). Although interpretable, its dependence on natural language limits the model's expressive bandwidth. Continuous thought models address this bottleneck by reasoning in latent space rather than human-readable tokens. While they enable richer representations and faster inference, they raise a critical safety question: how can we detect misaligned reasoning in an uninterpretable latent space? To study this, we introduce MoralChain, a benchmark of 12,000 social scenarios with parallel moral/immoral reasoning paths. We train a continuous thought model with backdoor behavior using a novel dual-trigger paradigm - one trigger that arms misaligned latent reasoning ([T]) and another that releases harmful outputs ([O]). We demonstrate three findings: (1) continuous thought models can exhibit misaligned latent reasoning while producing aligned outputs, with aligned and misaligned reasoning occupying geometrically distinct regions of latent space; (2) linear probes trained on behaviorally-distinguishable conditions ([T][O] vs [O]) transfer to detecting armed-but-benign states ([T] vs baseline) with high accuracy; and (3) misalignment is encoded in early latent thinking tokens, suggesting safety monitoring for continuous thought models should target the \"planning\" phase of latent reasoning.", "authors": ["Sharan Ramjee"], "categories": ["cs.AI", "cs.CL", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-25", "url": "https://arxiv.org/abs/2604.23460", "pdf_url": "https://arxiv.org/pdf/2604.23460v1", "arxiv_id": "2604.23460", "doi": "10.48550/arXiv.2604.23460", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.55} {"id": "1d31ea5bdbcef31e58c0aee61b18fd0bc4da1c484108e712eafd8e644c06bf77", "sources": ["arxiv", "semantic_scholar"], "title": "CAP-CoT: Cycle Adversarial Prompt for Improving Chain of Thoughts in LLM Reasoning", "abstract": "Chain-of-Thought (CoT) prompting has emerged as a simple and effective way to elicit step-by-step solutions from large language models (LLMs). However, CoT reasoning can be unstable across runs on long, multi-step problems, leading to inconsistent answers for unchanged task. Most prior work focuses on improving the forward reasoning chain within a single pass, with less attention to iterative and contrastive correction. To address this gap, we propose CAP-CoT, a Cycle Adversarial Prompt optimization framework designed to improve both CoT reasoning accuracy and stability of a single deployed solver. In each cycle, a forward solver generates candidate reasoning chains, an adversarial challenger constructs plausible but deliberately flawed chains using targeted error strategies, and a feedback agent contrasts the two chains and produces step-aligned structured feedback. This feedback closes the optimization loop in two directions, including updating the solver prompt based on errors exposed by the challenger, and updating the challenger prompt to generate increasingly targeted errors in subsequent cycles. Unlike safety-oriented adversarial prompting such as jailbreak or prompt-injection attacks, our adversarial component is task-semantic and aims to expose logical vulnerabilities in reasoning chains. Experiments across six benchmarks and four LLM backbones demonstrate that within two to three adversarial prompt optimization cycles, CAP-CoT consistently reduces variability across runs while improving reasoning accuracy and robustness to prompt perturbations.", "authors": ["Shuxu Chen", "Yitian Zhou", "Jiaquan Zhang", "Haoyu Bian", "Aming Wu", "Sungyoung Lee", "Chaoning Zhang", "Hyundong Shin"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-25", "url": "https://arxiv.org/abs/2604.23270", "pdf_url": "https://arxiv.org/pdf/2604.23270v1", "arxiv_id": "2604.23270", "doi": "10.48550/arXiv.2604.23270", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.55} {"id": "51dd73db0adae36378ed9798308592414f75c1bec937fa92c3464d09f5e10717", "sources": ["arxiv", "semantic_scholar"], "title": "Calibration Drift Under Reasoning: How Chain-of-Thought Budgets Induce Overconfidence in Large Language Models", "abstract": "The ability of large language models (LLMs) to express calibrated uncertainty is important for safe deployment. Chain-of-thought (CoT) reasoning is widely used to improve accuracy and reliability, but its effect on calibration is not fully understood. We show that this picture is incomplete: in some settings, increasing the reasoning budget beyond a task-specific threshold can cause models to become systematically overconfident, assigning high confidence to incorrect answers. We call this phenomenon Calibration Drift Under Reasoning (CDUR) and study it both theoretically and empirically. We define reasoning budget B and analyze conditions under which Expected Calibration Error ECE(B) follows a non-monotonic pattern: it first decreases as reasoning corrects errors, then increases as longer reasoning produces internally consistent but incorrect explanations. We propose a Hypothesis Lock-In model based on autoregressive generation to explain this behavior. We evaluate Llama-3.1-8B and Llama-3.3-70B on 47 reasoning-trap questions across four reasoning budgets and three seeds (1,368 API calls; 574 valid responses). The 8B model shows non-monotonic calibration behavior, while results for the 70B model are limited to baseline evaluation and are inconclusive for budget-dependent effects. We introduce CABStop, a calibration-aware stopping rule that halts reasoning when confidence diverges from an auxiliary accuracy estimate. These results suggest that increasing reasoning depth does not always improve reliability and should be monitored carefully.", "authors": ["Prakul Sunil Hiremath", "Harshit R. Hiremath"], "categories": ["cs.CL", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-24", "url": "https://arxiv.org/abs/2606.11211", "pdf_url": "https://arxiv.org/pdf/2606.11211v1", "arxiv_id": "2606.11211", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.35} {"id": "08b537b2ae446c36e9101264f6c00b3020b852889a24ab5ff84989581896e72f", "sources": ["arxiv", "semantic_scholar"], "title": "Thinking Without Words: Efficient Latent Reasoning with Abstract Chain-of-Thought", "abstract": "While long, explicit chains-of-thought (CoT) have proven effective on complex reasoning tasks, they are costly to generate during inference. Non-verbal reasoning methods have emerged with shorter generation lengths by leveraging continuous representations, yet their performance lags behind verbalized CoT. We propose $\\textbf{Abstract Chain-of-Thought}$, a discrete latent reasoning post-training mechanism in which the language model produces a short sequence of tokens from a reserved vocabulary in lieu of a natural language CoT, before generating a response. To make previously unseen ''abstract'' tokens useful, we introduce a policy iteration-style warm-up loop that alternates between (i.) bottlenecking from a verbal CoT via masking and performing supervised fine-tuning, and (ii.) self-distillation by training the model to generate abstract tokens from the prompt alone via constrained decoding with the codebook. After warm-up, we optimize the generation of abstract sequences with warm-started reinforcement learning under constrained decoding. Abstract-CoT achieves up to $11.6\\times$ fewer reasoning tokens while demonstrating comparable performance across mathematical reasoning, instruction-following, and multi-hop reasoning, and generalizes across language model families. We also find an emergent power law distribution over the abstract vocabulary, akin to those seen in natural language, that evolves across the training phases. Our findings highlight the potential for post-training latent reasoning mechanisms that enable efficient inference through a learned abstract reasoning language.", "authors": ["Keshav Ramji", "Tahira Naseem", "Ramón Fernandez Astudillo"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-24", "url": "https://arxiv.org/abs/2604.22709", "pdf_url": "https://arxiv.org/pdf/2604.22709v2", "arxiv_id": "2604.22709", "doi": "10.48550/arXiv.2604.22709", "citation_count": 3, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.55} {"id": "1a406f868c12bd57787b2b6a552870075888a0701cd656c49fb458d9184f7bd9", "sources": ["arxiv", "semantic_scholar"], "title": "Bridging the Reasoning Gap in Vietnamese with Small Language Models via Test-Time Scaling", "abstract": "The democratization of ubiquitous AI hinges on deploying sophisticated reasoning capabilities on resource-constrained devices. However, Small Language Models (SLMs) often face a \"reasoning gap\", particularly in non-English languages like Vietnamese, where they struggle to maintain coherent chains of thought. This paper investigates Test-Time Scaling strategies for the Qwen3-1.7B architecture within the context of Vietnamese Elementary Mathematics. We introduce Vi-S1K, a high-fidelity reasoning dataset localized via a Gemini 2.5 Flash-Lite powered pipeline, and Vi-Elementary-Bench, a dual-resource benchmark for rigorous evaluation. Using an LLM-as-a-Judge protocol, we reveal that the base model possesses robust latent knowledge (Accuracy: 4.05/5.00) but suffers from a severe \"formatting gap\" in communication. Supervised Fine-Tuning (SFT) acts as a critical \"reasoning unlocker\", yielding a 77% improvement in Explanation Quality and bridging the gap between raw calculation and pedagogical coherence. Furthermore, our analysis of prompting strategies uncovers a significant trade-off: structured frameworks like ReAct impose a \"cognitive tax\" on the 1.7B parameter capacity, degrading performance relative to pure Chain-of-Thought (CoT) combined with Self-Consistency. These findings establish a deployment hierarchy for SLMs, demonstrating that SFT combined with simplified test-time scaling is superior to complex agentic workflows for edge-based reasoning.", "authors": ["Bui The Trung", "Do Minh Duc", "Nguyen Van Vinh", "Bui Nguyen Quoc Trinh"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-20", "url": "https://arxiv.org/abs/2604.17794", "pdf_url": "https://arxiv.org/pdf/2604.17794v1", "arxiv_id": "2604.17794", "doi": "10.48550/arXiv.2604.17794", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.55} {"id": "7ba3c8dac4c812789fba60e24f9a640c641b6e178d4367e44fdb00573c902b45", "sources": ["arxiv", "semantic_scholar"], "title": "Efficient Test-Time Scaling via Temporal Reasoning Aggregation", "abstract": "Test-time scaling improves the reasoning performance of large language models but often results in token-inefficient overthinking, where models continue reasoning beyond what is necessary for a correct answer. Existing dynamic early-exit methods typically rely on single-step confidence signals, which are often unreliable for detecting reasoning convergence in multi-step settings. To mitigate this limitation, we propose TRACE, a training-free framework for efficient test-time scaling that determines when to terminate reasoning based on temporal aggregation of multi-step evidence rather than instantaneous signals. TRACE detects reasoning convergence over time by aggregating two complementary signals across recent reasoning steps: answer consistency, capturing the persistence of predicted answers, and confidence trajectory, modeling the temporal evolution of model confidence. Benefiting from these two factors, TRACE can accurately determine whether the reasoning process has converged, thereby promptly halting inference and effectively avoiding redundant reasoning steps. Extensive experiments on multiple challenging benchmarks show that TRACE reduces reasoning token usage by 25-30% on average while maintaining accuracy within 1-2% of full-length reasoning, consistently outperforming existing dynamic reasoning methods.", "authors": ["Jiakun Li", "Xingwei He", "Kefan Li", "Hongzheng Chai", "Hongyue Yu", "Yuan Yuan"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-19", "url": "https://arxiv.org/abs/2604.17304", "pdf_url": "https://arxiv.org/pdf/2604.17304v1", "arxiv_id": "2604.17304", "doi": "10.48550/arXiv.2604.17304", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5489} {"id": "3f049551d54f083da747e1173326c2334fa9f0a681dacd0b4d0616f82cee9e03", "sources": ["arxiv", "semantic_scholar"], "title": "LLM Reasoning Is Latent, Not the Chain of Thought", "abstract": "This position paper argues that large language model (LLM) reasoning should be studied as latent-state trajectory formation rather than as faithful surface chain-of-thought (CoT). This matters because claims about faithfulness, interpretability, reasoning benchmarks, and inference-time intervention all depend on what the field takes the primary object of reasoning to be. We ask what that object should be once three often-confounded factors are separated and formalize three competing hypotheses: H1, reasoning is primarily mediated by latent-state trajectories; H2, reasoning is primarily mediated by explicit surface CoT; and H0, most apparent reasoning gains are better explained by generic serial compute than by any privileged representational object. Reorganizing recent empirical, mechanistic, and survey work under this framework, and adding compute-audited worked exemplars that factorize surface traces, latent interventions, and matched budget expansions, we find that current evidence most strongly supports H1 as a default working hypothesis rather than as a task-independent verdict. We therefore make two recommendations: the field should treat latent-state dynamics as the default object of study for LLM reasoning, and it should evaluate reasoning with designs that explicitly disentangle surface traces, latent states, and serial compute.", "authors": ["Wenshuo Wang"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-17", "url": "https://arxiv.org/abs/2604.15726", "pdf_url": "https://arxiv.org/pdf/2604.15726v1", "arxiv_id": "2604.15726", "doi": "10.48550/arXiv.2604.15726", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5466} {"id": "b7c8cc2bb2a96867aeef5e419ac26c96832dc344a2a09af2fd0e42b8fd3c3fc6", "sources": ["arxiv", "semantic_scholar"], "title": "Adapting in the Dark: Efficient and Stable Test-Time Adaptation for Black-Box Models", "abstract": "Test-Time Adaptation (TTA) for black-box models accessible only via APIs remains a largely unexplored challenge. Existing approaches such as post-hoc output refinement offer limited adaptive capacity, while Zeroth-Order Optimization (ZOO) enables input-space adaptation but faces high query costs and optimization challenges in the unsupervised TTA setting. We introduce BETA (Black-box Efficient Test-time Adaptation), a framework that addresses these limitations by employing a lightweight, local white-box steering model to create a tractable gradient pathway. Through a prediction harmonization technique combined with consistency regularization and prompt learning-oriented filtering, BETA enables stable adaptation with no additional API calls and negligible latency beyond standard inference. On ImageNet-C, BETA achieves a +7.1% accuracy gain on ViT-B/16 and +3.4% on CLIP, surpassing strong white-box and gray-box methods including TENT and TPT. On a commercial API, BETA achieves comparable performance to ZOO at 250x lower cost while maintaining real-time inference speed, establishing it as a practical and efficient solution for real-world black-box TTA.", "authors": ["Yunbei Zhang", "Shuaicheng Niu", "Chengyi Cai", "Feng Liu", "Jihun Hamm"], "categories": ["cs.LG", "cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-17", "url": "https://arxiv.org/abs/2604.15609", "pdf_url": "https://arxiv.org/pdf/2604.15609v1", "arxiv_id": "2604.15609", "doi": "10.48550/arXiv.2604.15609", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5466} {"id": "177911204c8c30dcddbd3ef4b09529f145e36d26d4026c13addfdac5e6610579", "sources": ["arxiv", "semantic_scholar"], "title": "Structured Abductive-Deductive-Inductive Reasoning for LLMs via Algebraic Invariants", "abstract": "Large language models exhibit systematic limitations in structured logical reasoning: they conflate hypothesis generation with verification, cannot distinguish conjecture from validated knowledge, and allow weak reasoning steps to propagate unchecked through inference chains. We present a symbolic reasoning scaffold that operationalizes Peirce's tripartite inference -- abduction, deduction, and induction -- as an explicit protocol for LLM-assisted reasoning. The framework enforces logical consistency through five algebraic invariants (the Gamma Quintet), the strongest of which -- the Weakest Link bound -- ensures that no conclusion in a reasoning chain can exceed the reliability of its least-supported premise. This principle, independently grounded as weakest link resolution in possibilistic logic and empirically validated for chain-of-thought reasoning, prevents logical inconsistencies from accumulating across multi-step inference. We verify all invariants through a property-based testing suite of 100 properties and 16 fuzz tests over 10^5+ generated cases, providing a verified reference implementation of the invariants suitable as a foundation for future reasoning benchmarks.", "authors": ["Sankalp Gilda", "Shlok Gilda"], "categories": ["cs.AI", "cs.LG", "cs.LO"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-17", "url": "https://arxiv.org/abs/2604.15727", "pdf_url": "https://arxiv.org/pdf/2604.15727v1", "arxiv_id": "2604.15727", "doi": "10.48550/arXiv.2604.15727", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5466} {"id": "3f4f9817b6710fd89fd891b02c0f418140d51a4f247d8a6f0fa7a969a9b9f5a0", "sources": ["arxiv", "semantic_scholar"], "title": "ProtoTTA: Prototype-Guided Test-Time Adaptation", "abstract": "Deep networks that rely on prototypes-interpretable representations that can be related to the model input-have gained significant attention for balancing high accuracy with inherent interpretability, which makes them suitable for critical domains such as healthcare. However, these models are limited by their reliance on training data, which hampers their robustness to distribution shifts. While test-time adaptation (TTA) improves the robustness of deep networks by updating parameters and statistics, the prototypes of interpretable models have not been explored for this purpose. We introduce ProtoTTA, a general framework for prototypical models that leverages intermediate prototype signals rather than relying solely on model outputs. ProtoTTA minimizes the entropy of the prototype-similarity distribution to encourage more confident and prototype-specific activations on shifted data. To maintain stability, we employ geometric filtering to restrict updates to samples with reliable prototype activations, regularized by prototype-importance weights and model-confidence scores. Experiments across four prototypical backbones on four diverse benchmarks spanning fine-grained vision, histopathology, and NLP demonstrate that ProtoTTA improves robustness over standard output entropy minimization while restoring correct semantic focus in prototype activations. We also introduce novel interpretability metrics and a vision-language model (VLM) evaluation framework to explain TTA dynamics, confirming ProtoTTA restores human-aligned semantic focus and correlates reliably with VLM-rated reasoning quality. Code is available at: https://github.com/DeepRCL/ProtoTTA.", "authors": ["Mohammad Mahdi Abootorabi", "Parvin Mousavi", "Purang Abolmaesumi", "Evan Shelhamer"], "categories": ["cs.LG", "cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-16", "url": "https://arxiv.org/abs/2604.15494", "pdf_url": "https://arxiv.org/pdf/2604.15494v1", "arxiv_id": "2604.15494", "doi": "10.48550/arXiv.2604.15494", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/DeepRCL/ProtoTTA", "venue": "arXiv.org", "quality_score": 0.8429} {"id": "8076447c2685ddbdf8077674fa06a09d7133f9bdd8fc1deea1fb14c1e4fc6b95", "sources": ["arxiv", "semantic_scholar"], "title": "LongCoT: Benchmarking Long-Horizon Chain-of-Thought Reasoning", "abstract": "As language models are increasingly deployed for complex autonomous tasks, their ability to reason accurately over longer horizons becomes critical. An essential component of this ability is planning and managing a long, complex chain-of-thought (CoT). We introduce LongCoT, a scalable benchmark of 2,500 expert-designed problems spanning chemistry, mathematics, computer science, chess, and logic to isolate and directly measure the long-horizon CoT reasoning capabilities of frontier models. Problems consist of a short input with a verifiable answer; solving them requires navigating a graph of interdependent steps that span tens to hundreds of thousands of reasoning tokens. Each local step is individually tractable for frontier models, so failures reflect long-horizon reasoning limitations. At release, the best models achieve <10% accuracy (GPT 5.2: 9.8%; Gemini 3 Pro: 6.1%) on LongCoT, revealing a substantial gap in current capabilities. Overall, LongCoT provides a rigorous measure of long-horizon reasoning, tracking the ability of frontier models to reason reliably over extended periods.", "authors": ["Sumeet Ramesh Motwani", "Daniel Nichols", "Charles London", "Peggy Li", "Fabio Pizzati", "Acer Blake", "Hasan Hammoud", "Tavish McDonald", "Akshat Naik", "Alesia Ivanova", "Vignesh Baskaran", "Ivan Laptev", "Ruben Glatt", "Tal Ben-Nun", "Philip Torr", "Natasha Jaques", "Ameya Prabhu", "Brian Bartoldson", "Bhavya Kailkhura", "Christian Schroeder de Witt"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-15", "url": "https://arxiv.org/abs/2604.14140", "pdf_url": "https://arxiv.org/pdf/2604.14140v1", "arxiv_id": "2604.14140", "doi": "10.48550/arXiv.2604.14140", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5443} {"id": "5fb881ea6d52354f9ce2cf8c3547a6711f4fc0ec9d9035ad07d3ee343c7e89c1", "sources": ["arxiv", "semantic_scholar"], "title": "Sample Complexity of Autoregressive Reasoning: Chain-of-Thought vs. End-to-End", "abstract": "Modern large language models generate text autoregressively, producing tokens one at a time. To study the learnability of such systems, Joshi et al. (COLT 2025) introduced a PAC-learning framework for next-token generators, the primitive underlying autoregressive models. In this framework, an unknown next-token generator maps a sequence of tokens to the next token and is iteratively applied for $T$ steps, producing a chain of tokens whose final token constitutes the model's output. The learning task is to learn the input-output mapping induced by this autoregressive process. Depending on the available supervision, training examples may reveal only the final output (End-to-End supervision) or the entire generated chain (Chain-of-Thought supervision). This raises two natural questions: how the sample complexity depends on the generation length $T$, and how much Chain-of-Thought supervision can reduce this dependence. In this work we give a nearly complete answer to both questions by uncovering a taxonomy of how the sample complexity scales with $T$. For End-to-End learning, we show that the landscape is remarkably rich: subject to mild conditions, essentially any growth rate $r(T)$ between constant and linear can arise as the sample complexity, and combined with the linear upper bound of Joshi et al., this yields an essentially complete characterization. In contrast, under Chain-of-Thought supervision we show that the sample complexity is independent of $T$, demonstrating that access to intermediate reasoning steps can eliminate the dependence on the generation length altogether. Our analysis introduces new combinatorial tools, and as corollaries we resolve several open questions posed by Joshi et al. regarding the dependence of learnability on the generation length and the role of Chain-of-Thought supervision.", "authors": ["Steve Hanneke", "Idan Mehalel", "Shay Moran"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-13", "url": "https://arxiv.org/abs/2604.12013", "pdf_url": "https://arxiv.org/pdf/2604.12013v2", "arxiv_id": "2604.12013", "doi": "10.48550/arXiv.2604.12013", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.542} {"id": "83c76090f675531f1ca8e2afffed056d9104f10d7793d4f5f1412e4011be3638", "sources": ["arxiv", "semantic_scholar"], "title": "When More Thinking Hurts: Overthinking in LLM Test-Time Compute Scaling", "abstract": "Scaling test-time compute through extended chains of thought has become a dominant paradigm for improving large language model reasoning. However, existing research implicitly assumes that longer thinking always yields better results. This assumption remains largely unexamined. We systematically investigate how the marginal utility of additional reasoning tokens changes as compute budgets increase. We find that marginal returns diminish substantially at higher budgets and that models exhibit ``overthinking'', where extended reasoning is associated with abandoning previously correct answers. Furthermore, we show that optimal thinking length varies across problem difficulty, suggesting that uniform compute allocation is suboptimal. Our cost-aware evaluation framework reveals that stopping at moderate budgets can reduce computation significantly while maintaining comparable accuracy.", "authors": ["Shu Zhou", "Rui Ling", "Junan Chen", "Xin Wang", "Tao Fan", "Hao Wang"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-12", "url": "https://arxiv.org/abs/2604.10739", "pdf_url": "https://arxiv.org/pdf/2604.10739v1", "arxiv_id": "2604.10739", "doi": "10.48550/arXiv.2604.10739", "citation_count": 3, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5408} {"id": "b84b934da1e313fd967f3021bad1618ab33678ce325e58b7fb7479d34090a657", "sources": ["arxiv", "semantic_scholar"], "title": "FACT-E: Causality-Inspired Evaluation for Trustworthy Chain-of-Thought Reasoning", "abstract": "Chain-of-Thought (CoT) prompting has improved LLM reasoning, but models often generate explanations that appear coherent while containing unfaithful intermediate steps. Existing self-evaluation approaches are prone to inherent biases: the model may confidently endorse coherence even when the step-to-step implication is not valid, leading to unreliable faithfulness evaluation. We propose FACT-E, a causality-inspired framework for evaluating CoT quality. FACT-E uses controlled perturbations as an instrumental signal to separate genuine step-to-step dependence from bias-driven artifacts, producing more reliable faithfulness estimates (\\textit{intra-chain faithfulness}). To select trustworthy trajectories, FACT-E jointly considers \\textit{intra-chain faithfulness} and \\textit{CoT-to-answer consistency}, ensuring that selected chains are both faithful internally and supportive of the correct final answer. Experiments on GSM8K, MATH, and CommonsenseQA show that FACT-E improves reasoning-trajectory selection and yields stronger in-context learning exemplars. FACT-E also reliably detects flawed reasoning under noisy conditions, providing a robust metric for trustworthy LLM reasoning.", "authors": ["Yuxi Sun", "Aoqi Zuo", "Haotian Xie", "Wei Gao", "Mingming Gong", "Jing Ma"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-12", "url": "https://arxiv.org/abs/2604.10693", "pdf_url": "https://arxiv.org/pdf/2604.10693v2", "arxiv_id": "2604.10693", "doi": "10.48550/arXiv.2604.10693", "citation_count": 5, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5408} {"id": "2cc40113a36d0b7e8238c52a4895f8f64cd16a8ca76db21efb05af740b05db94", "sources": ["arxiv", "semantic_scholar"], "title": "Cognitive Loop of Thought: Reversible Hierarchical Markov Chain for Efficient Mathematical Reasoning", "abstract": "Multi-step Chain-of-Thought (CoT) has significantly advanced the mathematical reasoning capabilities of LLMs by leveraging explicit reasoning steps. However, the widespread adoption of Long CoT often results in sequence lengths that exceed manageable computational limits. While existing approaches attempt to alleviate this by reducing KV Cache redundancy via Markov chain-like structures, they introduce two critical limitations: inherent memorylessness (loss of context) and limited backward reasoning capability. To address these limitations, we propose a novel Chain-of-Thought framework based on Reversible Hierarchical Markov Chain, termed Cognitive Loop of Thought (CLoT), and a backward reasoning dataset CLoT-Instruct. In CLoT, problems are decomposed into sub-problems with hierarchical dependencies. Inspired by human cognitive processes, we introduce a backward verification mechanism at each hierarchical layer. Furthermore, we implement a pruning strategy: once higher-level sub-problems are verified, redundant lower-level sub-problems are pruned to maximize efficiency. This approach effectively mitigates error propagation and enhances reasoning robustness. Experiments on four mathematical benchmarks demonstrate the effectiveness of our method. Notably, on the AddSub dataset using GPT-4o-mini, CLoT achieves 99.0% accuracy, outperforming traditional CoT and CoT-SC by 4.1% and 2.9%, respectively.", "authors": ["Jia-Chen Zhang", "Yu-Jie Xiong", "Zheng Zhou"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-08", "url": "https://arxiv.org/abs/2604.06805", "pdf_url": "https://arxiv.org/pdf/2604.06805v2", "arxiv_id": "2604.06805", "doi": "10.48550/arXiv.2604.06805", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5363} {"id": "9962d7de9b2e43fa10f41b4d1fe11e55d64f1408698e58e54c18967d8871e3f2", "sources": ["arxiv", "semantic_scholar"], "title": "Long-Context Reasoning Through Proxy-Based Chain-of-Thought Tuning", "abstract": "Recent large language models support inputs of up to 10 million tokens, yet they perform poorly on long-context tasks that require complex reasoning. Such tasks can be solved using only a subset of the input -- a proxy context -- rather than the full sequence. Despite sharing the same underlying reasoning process, models exhibit a significant performance disparity between proxy and full contexts. To improve long-context reasoning, we propose ProxyCoT, a novel training framework that transfers reasoning capabilities from short proxy contexts to full long contexts. Specifically, we first obtain high-quality chain-of-thought reasoning traces on proxy contexts through reinforcement learning or distillation from a larger teacher model, and then ground the generated traces in full long contexts with supervised fine-tuning. Experiments across different datasets demonstrate that ProxyCoT consistently outperforms strong baselines with reduced computational overhead. Furthermore, models trained with ProxyCoT generalize their long-context reasoning capabilities to out-of-domain tasks.", "authors": ["Miao Li", "Irina Saparina", "Alexander Gurung", "Mirella Lapata"], "categories": ["cs.CL", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-04-06", "url": "https://arxiv.org/abs/2605.20201", "pdf_url": "https://arxiv.org/pdf/2605.20201v2", "arxiv_id": "2605.20201", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.3398} {"id": "921cd8f78d2d1f2caa4a42943d587ad0744bea130005c9e922e8c49d936c6492", "sources": ["arxiv", "semantic_scholar"], "title": "Hierarchical Chain-of-Thought Prompting: Enhancing LLM Reasoning Performance and Efficiency", "abstract": "Chain-of-Thought (CoT) prompting has significantly improved the reasoning capabilities of large language models (LLMs). However, conventional CoT often relies on unstructured, flat reasoning chains that suffer from redundancy and suboptimal performance. In this work, we introduce Hierarchical Chain-of-Thought (Hi-CoT) prompting, a structured reasoning paradigm specifically designed to address the challenges of complex, multi-step reasoning. Hi-CoT decomposes the reasoning process into hierarchical substeps by alternating between instructional planning and step-by-step execution. This decomposition enables LLMs to better manage long reasoning horizons and maintain logical coherence. Extensive evaluations across diverse LLMs and mathematical reasoning benchmarks show that Hi-CoT consistently improves average accuracy by 6.2% (up to 61.4% on certain models and tasks) while reducing reasoning trace length by 13.9% compared to CoT prompting. We further show that accuracy and efficiency are maximized when models strictly adhere to the hierarchical structure. Our code is available at https://github.com/XingshuaiHuang/Hi-CoT.", "authors": ["Xingshuai Huang", "Derek Li", "Bahareh Nikpour", "Parsa Omidi"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-31", "url": "https://arxiv.org/abs/2604.00130", "pdf_url": "https://arxiv.org/pdf/2604.00130v1", "arxiv_id": "2604.00130", "doi": "10.48550/arXiv.2604.00130", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/XingshuaiHuang/Hi-CoT", "venue": "arXiv.org", "quality_score": 0.8146} {"id": "dafc9666d56152aeb3e4fc0b4c6255df90b34b13c0296dd50fcf4b10923f089c", "sources": ["arxiv", "semantic_scholar"], "title": "CoT2-Meta: Budgeted Metacognitive Control for Test-Time Reasoning", "abstract": "Recent test-time reasoning methods improve performance by generating more candidate chains or searching over larger reasoning trees, but they typically lack explicit control over when to expand, what to prune, how to repair, and when to abstain. We introduce CoT2-Meta, a training-free metacognitive reasoning framework that combines object-level chain-of-thought generation with meta-level control over partial reasoning trajectories. The framework integrates four components: strategy-conditioned thought generation, tree-structured search, an online process oracle for step-level reasoning evaluation, and a meta-controller that allocates computation through expansion, pruning, repair, stopping, and fallback decisions. Under matched inference budgets, CoT2-Meta consistently outperforms strong single-path, sampling-based, and search-based baselines, including ReST-MCTS. On the default backbone, it achieves 92.8 EM on MATH, 90.4 accuracy on GPQA, 98.65 EM on GSM8K, 75.8 accuracy on BBEH, 85.6 accuracy on MMMU-Pro, and 48.8 accuracy on HLE, with gains over the strongest non-CoT2-Meta baseline of +3.6, +5.2, +1.15, +2.0, +4.3, and +4.3 points, respectively. Beyond these core results, the framework remains effective across a broader 15-benchmark suite spanning knowledge and QA, multi-hop reasoning, coding, and out-of-distribution evaluation. Additional analyses show better compute scaling, improved calibration, stronger selective prediction, targeted repair behavior, and consistent gains across backbone families. These results suggest that explicit metacognitive control is a practical design principle for reliable and compute-efficient test-time reasoning systems.", "authors": ["Siyuan Ma", "Bo Gao", "Zikai Xiao", "Hailong Wang", "Xinlei Yu", "Rui Qian", "Jiayu Qian", "Luqi Gong", "Yang Liu"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-30", "url": "https://arxiv.org/abs/2603.28135", "pdf_url": "https://arxiv.org/pdf/2603.28135v1", "arxiv_id": "2603.28135", "doi": "10.48550/arXiv.2603.28135", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5259} {"id": "5b2f26528ee86c560c17f9acf5bac05e7029bb072ed334c5b1fb87398d5e9970", "sources": ["arxiv", "semantic_scholar"], "title": "Enhanced Mycelium of Thought (EMoT): A Bio-Inspired Hierarchical Reasoning Architecture with Strategic Dormancy and Mnemonic Encoding", "abstract": "Current prompting paradigms for large language models (LLMs), including Chain-of-Thought (CoT) and Tree-of-Thoughts (ToT), follow linear or tree-structured reasoning paths that lack persistent memory, strategic dormancy, and cross-domain synthesis. We present the Enhanced Mycelium of Thought (EMoT) framework, a bio-inspired reasoning architecture that organises cognitive processing into a four-level hierarchy (Micro, Meso, Macro, Meta), implements strategic dormancy and reactivation of reasoning nodes, and integrates a Memory Palace with five mnemonic encoding styles. EMoT is a research prototype for complex, multi-domain problems, not a general-purpose prompting enhancement. Two complementary evaluations reveal a characteristic trade-off. In a blind LLM-as-Judge evaluation across three domains, EMoT achieved near-parity with CoT (4.20 vs. 4.33/5.0) with higher stability, and outperformed CoT on Cross-Domain Synthesis (4.8 vs. 4.4). Ablation studies show that strategic dormancy is architecturally essential (quality collapsed from 4.2 to 1.0 when disabled). On a 15-item short-answer benchmark, EMoT (27%) substantially underperformed simpler baselines, confirming systematic overthinking on simple problems. These results are subject to important limitations: small sample sizes (n=3 complex cases, n=15 short-answer items), LLM-as-Judge evaluation with potential self-preference bias, and approximately 33-fold computational cost overhead. To our knowledge, EMoT is the first reasoning framework to combine hierarchical topology, strategic thought dormancy with reactivation, and mnemonic memory encoding in a single architecture.", "authors": ["Florian Odi Stummer"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-25", "url": "https://arxiv.org/abs/2603.24065", "pdf_url": "https://arxiv.org/pdf/2603.24065v1", "arxiv_id": "2603.24065", "doi": "10.48550/arXiv.2603.24065", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5202} {"id": "6bb2b49f4817b2a2f5b5b0f6edb669880e002e2b778352834f42a27eaae8ddfc", "sources": ["arxiv", "semantic_scholar"], "title": "Caterpillar of Thoughts: The Optimal Test-Time Algorithm for Large Language Models", "abstract": "Large language models (LLMs) can often produce substantially better outputs when allowed to use additional test-time computation, such as sampling, chain of thought, backtracking, or revising partial solutions. Despite the growing empirical success of such techniques, there is limited theoretical understanding of how inference time computation should be structured, or what constitutes an optimal use of a fixed computation budget. We model test-time computation as an algorithm interacting with a Markov chain: at any point, the algorithm may resume generation from any previously observed state. That is, unlike standard Markov chains where the states are drawn passively, we allow the algorithm to backtrack to any previously observed state of the Markov chain at any time. Many of the existing test-time algorithms, such as Chain-of-Thought (CoT) (Wei et al., 2023), Tree-of-Thoughts (ToT) (Yao et al., 2023), or Best-of-$k$ (Brown et al., 2024) could be seen as specific algorithms in this model. We prove that while backtracking can reduce the number of generations exponentially, a very limited form of backtracking is theoretically sufficient. Namely, we show that the optimal algorithm always generates a caterpillar tree. That is, if we remove the leaves of the state tree generated by the optimal algorithm, we obtain a path. Motivated by our characterization of the optimal algorithm, we present Caterpillar of Thoughts (CaT), a new test-time computation algorithm, reducing the number of token/state generations. Our empirical evaluation shows that CaT, compared to ToT, achieves a better success rate while also reducing the number of token generations.", "authors": ["Amir Azarmehr", "Soheil Behnezhad", "Alma Ghafari"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-24", "url": "https://arxiv.org/abs/2603.22784", "pdf_url": "https://arxiv.org/pdf/2603.22784v1", "arxiv_id": "2603.22784", "doi": "10.48550/arXiv.2603.22784", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5191} {"id": "8997397b632c2e87d7ca59600c8aed29fb7e8eec1add77c4b3118ff7c7517462", "sources": ["arxiv", "semantic_scholar"], "title": "Let's Think with Images Efficiently! An Interleaved-Modal Chain-of-Thought Reasoning Framework with Dynamic and Precise Visual Thoughts", "abstract": "Recently, Interleaved-modal Chain-of-Thought (ICoT) reasoning has achieved remarkable success by leveraging both multimodal inputs and outputs, attracting increasing attention. While achieving promising performance, current ICoT methods still suffer from two major limitations: (1) Static Visual Thought Positioning, which statically inserts visual information at fixed steps, resulting in inefficient and inflexible reasoning; and (2) Broken Visual Thought Representation, which involves discontinuous and semantically incoherent visual tokens. To address these limitations, we introduce Interleaved-modal Chain-of-Thought reasoning with Dynamic and Precise Visual Thoughts (DaP-ICoT), which incorporates two key components: (1) Dynamic Visual Thought Integration adaptively introduces visual inputs based on reasoning needs, reducing redundancy and improving efficiency. (2) Precise Visual Thought Guidance ensures visual semantically coherent and contextually aligned representations. Experiments across multiple benchmarks and models demonstrate that DaP-ICoT achieves state-of-the-art performance. In addition, DaP-ICoT significantly reduces the number of inserted images, leading to a 72.6% decrease in token consumption, enabling more efficient ICoT reasoning.", "authors": ["Xu Liu", "Yongheng Zhang", "Qiguang Chen", "Yao Li", "Sheng Wang", "Libo Qin"], "categories": ["cs.CV", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-23", "url": "https://arxiv.org/abs/2603.21754", "pdf_url": "https://arxiv.org/pdf/2603.21754v1", "arxiv_id": "2603.21754", "doi": "10.1609/aaai.v40i38.40494", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "AAAI Conference on Artificial Intelligence", "quality_score": 0.5179} {"id": "76d461eda049cd37ce0a929b31d3d0ebb06afefe939bfe3c11ed475131f1dab4", "sources": ["arxiv", "semantic_scholar"], "title": "Do Multilingual VLMs Reason Equally? A Cross-Lingual Visual Reasoning Audit for Indian Languages", "abstract": "Vision-language models score well on mathematical, scientific, and spatial reasoning benchmarks, yet these evaluations are overwhelmingly English. I present the first cross-lingual visual reasoning audit for Indian languages. 980 questions from MathVista, ScienceQA, and MMMU are translated into Hindi, Tamil, Telugu, Bengali, Kannada, and Marathi using IndicTrans2, with Gemini 2.0 Flash cross-verification on 50 samples per language (inter-translator agreement 0.79-0.84). Eight VLMs, from 7B open-source models to GPT-4o, are evaluated across all seven languages, yielding 68,600 inference records that include text-only and chain-of-thought ablations. I find accuracy drops of 9.8-25 percentage points when switching from English to an Indian language, with Dravidian languages suffering up to 13.2 pp more than Indo-Aryan. Chain-of-thought prompting degrades Bengali (-14.4 pp) and Kannada (-11.4 pp) rather than helping, exposing English-centric reasoning chains. Aya-Vision-8B, built for 23 languages, still drops 28.5 pp on Dravidian scripts; multilingual pretraining alone does not transfer visual reasoning. I release the translated benchmark and all model outputs.", "authors": ["Swastik R"], "categories": ["cs.CL", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-23", "url": "https://arxiv.org/abs/2603.26742", "pdf_url": "https://arxiv.org/pdf/2603.26742v1", "arxiv_id": "2603.26742", "doi": "10.48550/arXiv.2603.26742", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/QuantumByte-01/multilingual-vlm-reasoning-audit", "venue": "arXiv.org", "quality_score": 0.8004} {"id": "fe19ca7e418770e0556aaceb5ee7db49a774b7b811556a6ce56b4bc003ebffdf", "sources": ["arxiv", "semantic_scholar"], "title": "Lie to Me: How Faithful Is Chain-of-Thought Reasoning in Reasoning Models?", "abstract": "Chain-of-thought (CoT) reasoning has been proposed as a transparency mechanism for large language models in safety-critical deployments, yet its effectiveness depends on faithfulness (whether models accurately verbalize the factors that actually influence their outputs), a property that prior evaluations have examined in only two proprietary models, finding acknowledgment rates as low as 25% for Claude 3.7 Sonnet and 39% for DeepSeek-R1. To extend this evaluation across the open-weight ecosystem, this study tests 12 open-weight reasoning models spanning 9 architectural families (7B-685B parameters) on 498 multiple-choice questions from MMLU and GPQA Diamond, injecting six categories of reasoning hints (sycophancy, consistency, visual pattern, metadata, grader hacking, and unethical information) and measuring the rate at which models acknowledge hint influence in their CoT when hints successfully alter answers. Across 41,832 inference runs, overall faithfulness rates range from 39.7% (Seed-1.6-Flash) to 89.9% (DeepSeek-V3.2-Speciale) across model families, with consistency hints (35.5%) and sycophancy hints (53.9%) exhibiting the lowest acknowledgment rates. Training methodology and model family predict faithfulness more strongly than parameter count, and keyword-based analysis reveals a striking gap between thinking-token acknowledgment (approximately 87.5%) and answer-text acknowledgment (approximately 28.6%), suggesting that models internally recognize hint influence but systematically suppress this acknowledgment in their outputs. These findings carry direct implications for the viability of CoT monitoring as a safety mechanism and suggest that faithfulness is not a fixed property of reasoning models but varies systematically with architecture, training method, and the nature of the influencing cue.", "authors": ["Richard J. Young"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-23", "url": "https://arxiv.org/abs/2603.22582", "pdf_url": "https://arxiv.org/pdf/2603.22582v1", "arxiv_id": "2603.22582", "doi": "10.48550/arXiv.2603.22582", "citation_count": 3, "influential_citation_count": 1, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5179} {"id": "cd592e61be487a7e0f1e1e51bc2368b566fe4faae9f543d0e581a5ca9a18bcc0", "sources": ["arxiv", "semantic_scholar"], "title": "When the Chain Breaks: Interactive Diagnosis of LLM Chain-of-Thought Reasoning Errors", "abstract": "Current Large Language Models (LLMs), especially Large Reasoning Models, can generate Chain-of-Thought (CoT) reasoning traces to illustrate how they produce final outputs, thereby facilitating trust calibration for users. However, these CoT reasoning traces are usually lengthy and tedious, and can contain various issues, such as logical and factual errors, which make it difficult for users to interpret the reasoning traces efficiently and accurately. To address these challenges, we develop an error detection pipeline that combines external fact-checking with symbolic formal logical validation to identify errors at the step level. Building on this pipeline, we propose ReasonDiag, an interactive visualization system for diagnosing CoT reasoning traces. ReasonDiag provides 1) an integrated arc diagram to show reasoning-step distributions and error-propagation patterns, and 2) a hierarchical node-link diagram to visualize high-level reasoning flows and premise dependencies. We evaluate ReasonDiag through a technical evaluation for the error detection pipeline, two case studies, and user interviews with 16 participants. The results indicate that ReasonDiag helps users effectively understand CoT reasoning traces, identify erroneous steps, and determine their root causes.", "authors": ["Shiwei Chen", "Niruthikka Sritharan", "Xiaolin Wen", "Chenxi Zhang", "Xingbo Wang", "Yong Wang"], "categories": ["cs.HC"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-22", "url": "https://arxiv.org/abs/2603.21286", "pdf_url": "https://arxiv.org/pdf/2603.21286v2", "arxiv_id": "2603.21286", "doi": "10.1111/cgf.70439", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.3289} {"id": "4751df33b16098708d947c17f4f9e8f8568be3b205212ae0f97bc77e2eeb3591", "sources": ["arxiv", "semantic_scholar"], "title": "Enhancing reasoning accuracy in large language models during inference time", "abstract": "Large Language Models (LLMs) often exhibit strong linguistic abilities while remaining unreliable on multi-step reasoning tasks, particularly when deployed without additional training or fine-tuning. In this work, we study inference-time techniques to improve the reasoning accuracy of LLMs. We systematically evaluate three classes of inference-time strategies: (i) self-consistency via stochastic decoding, where the model is sampled multiple times using controlled temperature and nucleus sampling and the most frequent final answer is selected; (ii) dual-model reasoning agreement, where outputs from two independent models are compared and only consistent reasoning traces are trusted; and (iii) self-reflection, where the model critiques and revises its own reasoning. Across all evaluated methods, we employ Chain-of-Thought (CoT) [1] prompting to elicit explicit intermediate reasoning steps before generating final answers. In this work, we provide a controlled comparative evaluation across three inference-time strategies under identical prompting and verification settings. Our experiments on LLM [2] show that self-consistency with nucleus sampling and controlled temperature value yields the substantial gains, achieving a 9% to 15% absolute improvement in accuracy over greedy single-pass decoding, well-suited for low-risk domains, offering meaningful gains with minimal overhead. The dual-model approach provides additional confirmation for model reasoning steps thus more appropriate for moderate-risk domains, where higher reliability justifies additional compute. Self-reflection offers only marginal improvements, suggesting limited effectiveness for smaller non-reasoning models at inference time.", "authors": ["Vinay Sharma", "Manish Jain"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-22", "url": "https://arxiv.org/abs/2603.21301", "pdf_url": "https://arxiv.org/pdf/2603.21301v1", "arxiv_id": "2603.21301", "doi": "10.48550/arXiv.2603.21301", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5168} {"id": "d8534aa131519bc69f9d206f8e81ae704e15d57b67cf532e68cc75397bfd3658", "sources": ["arxiv", "semantic_scholar"], "title": "Correct Chains, Wrong Answers: Dissociating Reasoning from Output in LLM Logic", "abstract": "LLMs can execute every step of chain-of-thought reasoning correctly and still produce wrong final answers. We introduce the Novel Operator Test, a benchmark that separates operator logic from operator name, enabling rigorous distinction between genuine reasoning and pattern retrieval. By evaluating Boolean operators under unfamiliar names across depths 1-10 on five models (up to 8,100 problems each), we demonstrate a reasoning-output dissociation that existing benchmarks cannot detect. At Claude Sonnet 4's depth 7, all 31 errors have verifiably correct reasoning yet wrong declared answers; 17/19 errors in mixed-operator chains exhibit the same pattern. The benchmark reveals two failure types: strategy failures at depth 2, where models attempt terse retrieval (+62pp from scaffolding), and content failures at depth 7, where models reason fully but err systematically (+8-30pp, 0/300 errors post-intervention). A Trojan operator (XOR's truth table under a novel name) confirms name alone does not gate reasoning (p >= 0.49), while Llama's novelty gap widens to 28pp at depth 8-9 with the Trojan at 92-100%, isolating genuine difficulty with novel logic from name unfamiliarity.", "authors": ["Abinav Rao", "Sujan Rachuri", "Nikhil Vemuri"], "categories": ["cs.CL", "cs.AI", "cs.LO"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-19", "url": "https://arxiv.org/abs/2604.13065", "pdf_url": "https://arxiv.org/pdf/2604.13065v1", "arxiv_id": "2604.13065", "doi": "10.48550/arXiv.2604.13065", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5133} {"id": "75f050caf8dc2dffa9a844077350e203896315c238e553187f1c5517c57f2aba", "sources": ["arxiv", "semantic_scholar"], "title": "Efficient Reasoning on the Edge", "abstract": "Large language models (LLMs) with chain-of-thought reasoning achieve state-of-the-art performance across complex problem-solving tasks, but their verbose reasoning traces and large context requirements make them impractical for edge deployment. These challenges include high token generation costs, large KV-cache footprints, and inefficiencies when distilling reasoning capabilities into smaller models for mobile devices. Existing approaches often rely on distilling reasoning traces from larger models into smaller models, which are verbose and stylistically redundant, undesirable for on-device inference. In this work, we propose a lightweight approach to enable reasoning in small LLMs using LoRA adapters combined with supervised fine-tuning. We further introduce budget forcing via reinforcement learning on these adapters, significantly reducing response length with minimal accuracy loss. To address memory-bound decoding, we exploit parallel test-time scaling, improving accuracy at minor latency increase. Finally, we present a dynamic adapter-switching mechanism that activates reasoning only when needed and a KV-cache sharing strategy during prompt encoding, reducing time-to-first-token for on-device inference. Experiments on Qwen2.5-7B demonstrate that our method achieves efficient, accurate reasoning under strict resource constraints, making LLM reasoning practical for mobile scenarios. Videos demonstrating our solution running on mobile devices are available on our project page.", "authors": ["Yelysei Bondarenko", "Thomas Hehn", "Rob Hesselink", "Romain Lepert", "Fabio Valerio Massoli", "Evgeny Mironov", "Leyla Mirvakhabova", "Tribhuvanesh Orekondy", "Spyridon Stasis", "Andrey Kuzmin", "Anna Kuzina", "Markus Nagel", "Ankita Nayak", "Corrado Rainone", "Ork de Rooij", "Paul N Whatmough", "Arash Behboodi", "Babak Ehteshami Bejnordi"], "categories": ["cs.LG", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-17", "url": "https://arxiv.org/abs/2603.16867", "pdf_url": "https://arxiv.org/pdf/2603.16867v2", "arxiv_id": "2603.16867", "doi": "10.48550/arXiv.2603.16867", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.511} {"id": "3459d17e911f1be1050b4a7c07782558478a8c1c8da020bf0c3d194606986d20", "sources": ["arxiv", "semantic_scholar"], "title": "VLA-Thinker: Boosting Vision-Language-Action Models through Thinking-with-Image Reasoning", "abstract": "Vision-Language-Action (VLA) models have shown promising capabilities for embodied intelligence, but most existing approaches rely on text-based chain-of-thought reasoning where visual inputs are treated as static context. This limits the ability of the model to actively revisit the environment and resolve ambiguities during long-horizon tasks. We propose VLA-Thinker, a thinking-with-image reasoning framework that models perception as a dynamically invocable reasoning action. To train such a system, we introduce a two-stage training pipeline consisting of (1) an SFT cold-start phase with curated visual Chain-of-Thought data to activate structured reasoning and tool-use behaviors, and (2) GRPO-based reinforcement learning to align complete reasoning-action trajectories with task-level success. Extensive experiments on LIBERO and RoboTwin 2.0 benchmarks demonstrate that VLA-Thinker significantly improves manipulation performance, achieving 97.5% success rate on LIBERO and strong gains across long-horizon robotic tasks. Project and Codes: https://cywang735.github.io/VLA-Thinker/ .", "authors": ["Chaoyang Wang", "Wenrui Bao", "Sicheng Gao", "Bingxin Xu", "Yu Tian", "Yogesh S. Rawat", "Yunhao Ge", "Yuzhang Shang"], "categories": ["cs.CV", "cs.AI", "cs.RO"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-15", "url": "https://arxiv.org/abs/2603.14523", "pdf_url": "https://arxiv.org/pdf/2603.14523v1", "arxiv_id": "2603.14523", "doi": "10.48550/arXiv.2603.14523", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5088} {"id": "2a779685eddfc77bc5628e0ecd43674294b7d10ca141b335ede0716dfd32c45f", "sources": ["arxiv", "semantic_scholar"], "title": "TERMINATOR: Learning Optimal Exit Points for Early Stopping in Chain-of-Thought Reasoning", "abstract": "Large Reasoning Models (LRMs) achieve impressive performance on complex reasoning tasks via Chain-of-Thought (CoT) reasoning, which enables them to generate intermediate thinking tokens before arriving at the final answer. However, LRMs often suffer from significant overthinking, spending excessive compute time even after the answer is generated early on. Prior work has identified the existence of an optimal reasoning length such that truncating reasoning at this point significantly shortens CoT outputs with virtually no change in performance. However, determining optimal CoT lengths for practical datasets is highly non-trivial as they are fully task and model-dependent. In this paper, we precisely address this and design Terminator, an early-exit strategy for LRMs at inference to mitigate overthinking. The central idea underpinning Terminator is that the first arrival of an LRM's final answer is often predictable, and we leverage these first answer positions to create a novel dataset of optimal reasoning lengths to train Terminator. Powered by this approach, Terminator achieves significant reductions in CoT lengths of 14%-55% on average across four challenging practical datasets: MATH-500, AIME 2025, HumanEval, and GPQA, while outperforming current state-of-the-art methods and reducing inference latency by more than 2x compared to the original LRM.", "authors": ["Alliot Nagle", "Jakhongir Saydaliev", "Dhia Garbaya", "Michael Gastpar", "Ashok Vardhan Makkuva", "Hyeji Kim"], "categories": ["cs.LG", "cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-13", "url": "https://arxiv.org/abs/2603.12529", "pdf_url": "https://arxiv.org/pdf/2603.12529v2", "arxiv_id": "2603.12529", "doi": "10.48550/arXiv.2603.12529", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5065} {"id": "0eea66db0c5042eb93effe084bc91726263a36248ab125bfb27a0aa1a5cf5b5b", "sources": ["arxiv", "semantic_scholar"], "title": "EndoCoT: Scaling Endogenous Chain-of-Thought Reasoning in Diffusion Models", "abstract": "Recently, Multimodal Large Language Models (MLLMs) have been widely integrated into diffusion frameworks primarily as text encoders to tackle complex tasks such as spatial reasoning. However, this paradigm suffers from two critical limitations: (i) MLLMs text encoder exhibits insufficient reasoning depth. Single-step encoding fails to activate the Chain-of-Thought process, which is essential for MLLMs to provide accurate guidance for complex tasks. (ii) The guidance remains invariant during the decoding process. Invariant guidance during decoding prevents DiT from progressively decomposing complex instructions into actionable denoising steps, even with correct MLLM encodings. To this end, we propose Endogenous Chain-of-Thought (EndoCoT), a novel framework that first activates MLLMs' reasoning potential by iteratively refining latent thought states through an iterative thought guidance module, and then bridges these states to the DiT's denoising process. Second, a terminal thought grounding module is applied to ensure the reasoning trajectory remains grounded in textual supervision by aligning the final state with ground-truth answers. With these two components, the MLLM text encoder delivers meticulously reasoned guidance, enabling the DiT to execute it progressively and ultimately solve complex tasks in a step-by-step manner. Extensive evaluations across diverse benchmarks (e.g., Maze, TSP, VSP, and Sudoku) achieve an average accuracy of 92.1%, outperforming the strongest baseline by 8.3 percentage points. The code and dataset are publicly available at https://internlm.github.io/EndoCoT/.", "authors": ["Xuanlang Dai", "Yujie Zhou", "Long Xing", "Jiazi Bu", "Xilin Wei", "Yuhong Liu", "Beichen Zhang", "Kai Chen", "Yuhang Zang"], "categories": ["cs.CV", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-12", "url": "https://arxiv.org/abs/2603.12252", "pdf_url": "https://arxiv.org/pdf/2603.12252v4", "arxiv_id": "2603.12252", "doi": "10.48550/arXiv.2603.12252", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5053} {"id": "dd8fecc43a6088400ef2697c117ad0fa02bfeb6ba435b09ca84707997e16ad5c", "sources": ["arxiv", "semantic_scholar"], "title": "TopoBench: Benchmarking LLMs on Hard Topological Reasoning", "abstract": "Solving topological grid puzzles requires reasoning over global spatial invariants such as connectivity, loop closure, and region symmetry and remains challenging for even the most powerful large language models (LLMs). To study these abilities under controlled settings, we introduce TopoBench, a benchmark of six puzzle families across three difficulty levels. We evaluate strong reasoning LLMs on TopoBench and find that even frontier models solve fewer than one quarter of hard instances, with two families nearly unsolved. To investigate whether these failures stem from reasoning limitations or from difficulty extracting and maintaining spatial constraints, we annotate 750 chain of thought traces with an error taxonomy that surfaces four candidate causal failure modes, then test them with targeted interventions simulating each error type. These interventions show that certain error patterns like premature commitment and constraint forgetting have a direct impact on the ability to solve the puzzle, while repeated reasoning is a benign effect of search. Finally we study mitigation strategies including prompt guidance, cell-aligned grid representations and tool-based constraint checking, finding that the bottleneck lies in extracting constraints from spatial representations and not in reasoning over them. Code and data are available at github.com/mayug/topobench-benchmark.", "authors": ["Mayug Maniparambil", "Nils Hoehing", "Janak Kapuriya", "Arjun Karuvally", "Ellen Rushe", "Anthony Ventresque", "Noel O'Connor", "Fergal Reid"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-12", "url": "https://arxiv.org/abs/2603.12133", "pdf_url": "https://arxiv.org/pdf/2603.12133v1", "arxiv_id": "2603.12133", "doi": "10.48550/arXiv.2603.12133", "citation_count": 1, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": "arXiv.org", "quality_score": 0.7809} {"id": "521cd95b0c0f6c04a3427a917b0ae147f042149411f57d15c421a91260a55dd1", "sources": ["arxiv", "semantic_scholar"], "title": "Ranking Reasoning LLMs under Test-Time Scaling", "abstract": "Test-time scaling evaluates reasoning LLMs by sampling multiple outputs per prompt, but ranking models in this regime remains underexplored. We formalize dense benchmark ranking under test-time scaling and introduce Scorio, a library that implements statistical ranking methods such as paired-comparison models, item response theory (IRT) models, voting rules, and graph- and spectral-based methods. Across $20$ reasoning models on four Olympiad-style math benchmarks (AIME'24, AIME'25, HMMT'25, and BrUMO'25; up to $N=80$ trials), most full-trial rankings agree closely with the Bayesian gold standard $\\mathrm{Bayes}_{\\mathcal{U}}@80$ (mean Kendall's $τ_b = 0.93$--$0.95$), and $19$--$34$ methods recover exactly the same ordering. In the single-trial regime, the best methods reach $τ_b \\approx 0.86$. Using greedy decoding as an empirical prior ($\\mathrm{Bayes}_{\\mathbf{R}_0}@N$) reduces variance at $N=1$ by $16$--$52\\%$, but can bias rankings when greedy and stochastic sampling disagree. These results identify reliable ranking methods for both high- and low-budget test-time scaling. We release Scorio as an open-source library at https://github.com/mohsenhariri/scorio.", "authors": ["Mohsen Hariri", "Michael Hinczewski", "Jing Ma", "Vipin Chaudhary"], "categories": ["cs.LG", "math.ST"], "fields_of_study": ["Computer Science", "Mathematics"], "published_date": "2026-03-11", "url": "https://arxiv.org/abs/2603.10960", "pdf_url": "https://arxiv.org/pdf/2603.10960v1", "arxiv_id": "2603.10960", "doi": "10.48550/arXiv.2603.10960", "citation_count": 2, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/mohsenhariri/scorio", "venue": "arXiv.org", "quality_score": 0.7792} {"id": "f7d8989d6f866213a322f399de3956ae349c8bd1d3536e396475c7002e154ebc", "sources": ["arxiv", "semantic_scholar"], "title": "Efficient Reasoning at Fixed Test-Time Cost via Length-Aware Attention Priors and Gain-Aware Training", "abstract": "We study efficient reasoning under tight compute. We ask how to make structured, correct decisions without increasing test time cost. We add two training only components to small and medium Transformers that also transfer to broader differentiable optimizers. First, a length aware attention prior built via fuzzy regime position alignment, RPA, yields a normalized pre softmax bias that guides attention like a structured regularizer while adding no new inference parameters. Second, a minimal gain aware controller, Guardian, nudges attention sharpness only when validation improvements warrant it, following a two timescale policy gradient view of nonconvex optimization. It is disabled at inference. A KL perspective shows softmax of z plus log pi as MAP with KL regularization, grounding the prior in a principled objective. Under strict compute parity on WikiText 2, we reduce validation cross entropy while matching baseline latency and memory. At inference, we add a precomputed, cached prior B of T as a single additive bias per head. The controller does not run. In practice, this incurs negligible overhead, a cached bias add per head, with no measurable p50 latency shift. Our results suggest that length aware priors and late phase gain control preserve scarce improvements, especially in long span, noisy logit regimes, while keeping test time costs effectively unchanged.", "authors": ["Rian Atri"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-10", "url": "https://arxiv.org/abs/2603.09253", "pdf_url": "https://arxiv.org/pdf/2603.09253v1", "arxiv_id": "2603.09253", "doi": "10.48550/arXiv.2603.09253", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.503} {"id": "d5600d24a5a80e3123e3fc8d53039758b08eaf99e98c87f678c20fdda4fe6d5e", "sources": ["arxiv", "semantic_scholar"], "title": "Quantifying the Necessity of Chain of Thought through Opaque Serial Depth", "abstract": "Large language models (LLMs) tend to externalize their reasoning in their chain of thought, making the chain of thought a good target for monitoring. This is partially an inherent feature of the Transformer architecture: sufficiently long serial cognition must pass through the chain of thought (Korbak et al., 2025). We formalize this argument through the notion of opaque serial depth, given by the length of the longest computation that can be done without the use of interpretable intermediate steps like chain of thought. Given this formalization, we compute numeric upper bounds on the opaque serial depth of Gemma 3 models, as well as asymptotic results for additional architectures beyond standard LLMs. We also open-source an automated method that can calculate upper bounds on the opaque serial depth of arbitrary neural networks, and use it to demonstrate that Mixture-of-Experts models likely have lower depth than dense models. Overall, our results suggest that opaque serial depth is a useful tool for understanding the potential for models to do significant reasoning that is not externalized.", "authors": ["Jonah Brown-Cohen", "David Lindner", "Rohin Shah"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-10", "url": "https://arxiv.org/abs/2603.09786", "pdf_url": "https://arxiv.org/pdf/2603.09786v1", "arxiv_id": "2603.09786", "doi": "10.48550/arXiv.2603.09786", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": "arXiv.org", "quality_score": 0.7774} {"id": "d1dbff3daecd7a57aabe81629b6abdd81c2d7d049a0f6b051f4a725bd9bf2443", "sources": ["arxiv", "semantic_scholar"], "title": "Is continuous CoT better suited for multi-lingual reasoning?", "abstract": "We investigate whether performing reasoning in a continuous latent space leads to more robust multilingual capabilities. We compare Continuous Chain-of-Thought (using the CODI framework) against standard supervised fine-tuning across five typologically diverse languages: English, Chinese, German, French, and Urdu. Our experiments on GSM8k and CommonsenseQA demonstrate that continuous reasoning significantly outperforms explicit reasoning on low-resource languages, particularly in zero-shot settings where the target language was not seen during training. Additionally, this approach achieves extreme efficiency, compressing reasoning traces by approximately $29\\times$ to $50\\times$. These findings indicate that continuous latent representations naturally exhibit greater language invariance, offering a scalable solution for cross-lingual reasoning.", "authors": ["Ali Hamza Bashir", "Behzad Shomali", "Markus Frey", "Mehdi Ali", "Rafet Sifa", "David Berghaus"], "categories": ["cs.CL", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-09", "url": "https://arxiv.org/abs/2603.08177", "pdf_url": "https://arxiv.org/pdf/2603.08177v1", "arxiv_id": "2603.08177", "doi": "10.48550/arXiv.2603.08177", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.5019} {"id": "2d71a20be6a548d054b97bf968e779800047b559e3812215bcd6ba36bad55a01", "sources": ["arxiv", "semantic_scholar"], "title": "Learning When to Sample: Confidence-Aware Selective Sampling for Efficient Chain-of-Thought Reasoning", "abstract": "Large language models (LLMs) can achieve strong reasoning performance through chain-of-thought (CoT) reasoning, yet they often generate unnecessarily long reasoning paths that incur high inference cost. Self-consistency-based approaches push accuracy higher still, but they require sampling and aggregating multiple reasoning trajectories, leading to substantial computational overhead. In this paper, we introduce a confidence-aware selective sampling framework that, at inference time, analyzes a single reasoning trajectory to adaptively determine whether to rely on that trajectory alone or trigger multi-path sampling. The framework uses trajectory-level numeric features and sentence-level linguistic features extracted from reasoning states to guide selective multi-path reasoning. We train it on MedQA and evaluate it in-domain on MedQA and under calibration-only transfer on MathQA, MedMCQA, and MMLU, without further fine-tuning. Experimental results show that the proposed framework maintains comparable performance to full and efficient multi-path reasoning baselines, with accuracy changes of $-0.41 \\pm 0.58$ and $-0.31 \\pm 0.58$ percentage points, respectively, while reducing token usage by $71.7 \\pm 5.0%$ and $36.6 \\pm 9.1%$. These findings demonstrate that reasoning trajectories contain rich signals for uncertainty estimation, enabling a simple, transferable mechanism to balance accuracy and efficiency in LLM reasoning.", "authors": ["Juming Xiong", "Kevin Guo", "Congning Ni", "Wexin Liu", "Chao Yan", "Katherine Brown", "Avinash Baidya", "Xiang Gao", "Bradley Malin", "Zhijun Yin"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-09", "url": "https://arxiv.org/abs/2603.08999", "pdf_url": "https://arxiv.org/pdf/2603.08999v3", "arxiv_id": "2603.08999", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.3194} {"id": "567b5ebc84843a54c715b9ff51e12b5af7e269e2dd68501c32e166c7202ee796", "sources": ["arxiv", "semantic_scholar"], "title": "FreeFly-Thinking : Aligning Chain-of-Thought Reasoning with Continuous UAV Navigation", "abstract": "Vision-Language Navigation aims to enable agents to understand natural language instructions and carry out appropriate navigation actions in real-world environments. Most work focuses on indoor settings, with little research in complex outdoor scenes. Current UAV Vision-and-Language Navigation models typically act as black boxes without explicit reasoning. We introduce FreeFly-thinking, an end-to-end VLN framework that converts the UAV agent's egocentric images and language instructions into a series of actions, inspired by environment of urban architecture proposed by OpenFly. We first construct a UAV dataset for navigation task, and then performing natural language chain of thought. We adopt a two-stage training strategy: Supervised fine-tuning and Reinforcement fine-tuning. Experiments on unseen test demonstrate a strong performance, presenting robustness and efficiency in UAV navigation issue.", "authors": ["Jiaxu Zhou", "Shaobo Wang", "Zhiyuan Yang", "Zhenjun Yu", "Tao Li"], "categories": ["cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-07", "url": "https://arxiv.org/abs/2603.07181", "pdf_url": "https://arxiv.org/pdf/2603.07181v2", "arxiv_id": "2603.07181", "doi": "10.48550/arXiv.2603.07181", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4996} {"id": "ce775f57bdab64bbaa6086fcf405d2ec2ec02a278cad89d9bd8bd54f2895d9ab", "sources": ["arxiv", "semantic_scholar"], "title": "Improving reasoning at inference time via uncertainty minimisation", "abstract": "Large language models (LLMs) now exhibit strong multi-step reasoning abilities, but existing inference-time scaling methods remain computationally expensive, often relying on extensive sampling or external evaluators. We propose a principled strategy that frames reasoning as uncertainty minimisation and operates at the level of individual thoughts rather than tokens. Our method selects, at each reasoning step, the continuation that maximizes the model's self-certainty, a metric computed from its internal predictive distribution. This approach achieves significant improvement with a small number of samples, relies exclusively on model-internal signals, and applies to open-ended questions as opposed to methods like majority voting. Experiments on MATH500 and GSM8K across multiple model sizes demonstrate that thought-level self-certainty maximization consistently outperforms greedy decoding and matches or exceeds self-consistency under comparable token budgets. Cross-linguistic evaluations further indicate that the method transfers robustly beyond high-resource languages. Furthermore, analysis of self-certainty dynamics reveals that correct reasoning trajectories converge early to stable paths, suggesting that early decisions, likely associated with the planning of the reasoning process, are predictive of final accuracy. Building on this result, we show that self-certainty maximisation applied to the early steps can explain most of the performance gain and provide a simple yet efficient inference-time scaling method.", "authors": ["Nicolas Legrand", "Kenneth Enevoldsen", "Márton Kardos", "Kristoffer Nielbo"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-07", "url": "https://arxiv.org/abs/2603.07159", "pdf_url": "https://arxiv.org/pdf/2603.07159v1", "arxiv_id": "2603.07159", "doi": "10.48550/arXiv.2603.07159", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4996} {"id": "137010ace5c39f6319afcf24b5436e76155fd711b34a4207594632615d9db313", "sources": ["arxiv", "semantic_scholar"], "title": "Reasoning Models Struggle to Control their Chains of Thought", "abstract": "Chain-of-thought (CoT) monitoring is a promising tool for detecting misbehaviors and understanding the motivations of modern reasoning models. However, if models can control what they verbalize in their CoT, it could undermine CoT monitorability. To measure this undesirable capability -- CoT controllability -- we introduce the CoT-Control evaluation suite, which includes tasks that require models to solve problems while adhering to CoT instructions, e.g., reasoning about a genetics question without using the word 'chromosome'. We show that reasoning models possess significantly lower CoT controllability than output controllability; for instance, Claude Sonnet 4.5 can control its CoT only 2.7% of the time but 61.9% when controlling its final output. We also find that CoT controllability is higher for larger models and decreases with more RL training, test-time compute, and increased problem difficulty. CoT controllability failures extend even to situations in which models are given incentives (as opposed to direct requests) to evade CoT monitors, although models exhibit slightly higher controllability when they are told they are being monitored. Similarly, eliciting controllability by adversarially optimizing prompts does not meaningfully increase controllability. Our results leave us cautiously optimistic that CoT controllability is currently unlikely to be a failure mode of CoT monitorability. However, the mechanism behind low controllability is not well understood. Given its importance for maintaining CoT monitorability, we recommend that frontier labs track CoT controllability in future models.", "authors": ["Chen Yueh-Han", "Robert McCarthy", "Bruce W. Lee", "He He", "Ian Kivlichan", "Bowen Baker", "Micah Carroll", "Tomek Korbak"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-05", "url": "https://arxiv.org/abs/2603.05706", "pdf_url": "https://arxiv.org/pdf/2603.05706v1", "arxiv_id": "2603.05706", "doi": "10.48550/arXiv.2603.05706", "citation_count": 6, "influential_citation_count": 1, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4973} {"id": "79c22fcb09d4e35448bf438ca5895ca961bf7c2a9e63575591e91d140a1527a6", "sources": ["arxiv", "semantic_scholar"], "title": "Beyond Test-Time Compute Strategies: Advocating Energy-per-Token in LLM Inference", "abstract": "Large Language Models (LLMs) demonstrate exceptional performance across diverse tasks but come with substantial energy and computational costs, particularly in request-heavy scenarios. In many real-world applications, the full scale and capabilities of LLMs are often unnecessary, as Small Language Models (SLMs) can provide accurate responses for simpler text generation tasks. When enhanced with advanced reasoning strategies, such as Chain-of-Thought (CoT) prompting or Majority Voting, SLMs can approach the performance of larger models while reducing overall computational requirements. However, these strategies can also introduce additional energy costs, creating an energy-accuracy trade-off. Our analysis examines these trade-offs in test-time compute strategies for smaller models compared to larger ones, using the MMLU benchmark. Additionally, we explore the input-output token dynamics of transformer architectures, which result in nonlinear hardware energy operation curves for LLMs. To bridge AI research with its physical impact, we propose \\textit{energy efficiency metrics}, including Energy-per-Token, as complements to traditional accuracy benchmarks. Beyond model selection, we propose controlled reasoning in CoT token generation, using operating curves to regulate reasoning depth dynamically. This vision integrates a energy-aware routing mechanism, ensuring that model selection and inference strategies balance accuracy for sustainable AI deployment.", "authors": ["Patrick Wilhelm", "Thorsten Wittkopp", "Odej Kao"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-03-04", "url": "https://arxiv.org/abs/2603.20224", "pdf_url": "https://arxiv.org/pdf/2603.20224v1", "arxiv_id": "2603.20224", "doi": "10.1145/3721146.3721953", "citation_count": 19, "influential_citation_count": 1, "has_code": false, "code_url": null, "venue": "EuroMLSys2025", "quality_score": 0.4961} {"id": "9ee808f19b0f5f26762fc24c033b7a5c38c7c19a158644494f887dbb1ea70ccd", "sources": ["arxiv", "semantic_scholar"], "title": "Draft-Thinking: Learning Efficient Reasoning in Long Chain-of-Thought LLMs", "abstract": "Long chain-of-thought~(CoT) has become a dominant paradigm for enhancing the reasoning capability of large reasoning models~(LRMs); however, the performance gains often come with a substantial increase in reasoning budget. Recent studies show that existing CoT paradigms tend to induce systematic overthinking, unnecessarily coupling reasoning capability with reasoning cost. Most prior approaches reduce token usage through post hoc techniques such as token compression, truncation, or length penalties, without explicitly addressing the core mechanisms of reasoning. We propose \\textbf{Draft-Thinking}, which guides models to first learn a concise \\textit{draft-style} reasoning structure that retains only the critical reasoning steps. Through a \\textit{progressive curriculum learning}, the model stably internalizes this efficient reasoning pattern as its capability scales. Moreover, Draft-Thinking introduces adaptive prompting, which elevates reasoning depth to a flexible, model-selectable behavior. Extensive experiments demonstrate that Draft-Thinking substantially reduces reasoning budget while largely preserving reasoning performance; for example, on MATH500, it achieves an 82.6\\% reduction in reasoning budget at the cost of only a 2.6\\% performance drop.", "authors": ["Jie Cao", "Tianwei Lin", "Zhenxuan Fan", "Bo Yuan", "Ziyuan Zhao", "Rolan Yan", "Wenqiao Zhang", "Siliang Tang"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-28", "url": "https://arxiv.org/abs/2603.00578", "pdf_url": "https://arxiv.org/pdf/2603.00578v1", "arxiv_id": "2603.00578", "doi": "10.48550/arXiv.2603.00578", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4916} {"id": "91da387316ddcc9b9ac8919fb53acbe53f9610ffa0c850d0b5219e7eba943072", "sources": ["arxiv", "semantic_scholar"], "title": "VisRef: Visual Refocusing while Thinking Improves Test-Time Scaling in Multi-Modal Large Reasoning Models", "abstract": "Advances in large reasoning models have shown strong performance on complex reasoning tasks by scaling test-time compute through extended reasoning. However, recent studies observe that in vision-dependent tasks, extended textual reasoning at inference time can degrade performance as models progressively lose attention to visual tokens and increasingly rely on textual priors alone. To address this, prior works use reinforcement learning (RL)-based fine-tuning to route visual tokens or employ refocusing mechanisms during reasoning. While effective, these methods are computationally expensive, requiring large-scale data generation and policy optimization. To leverage the benefits of test-time compute without additional RL fine-tuning, we propose VisRef, a visually grounded test-time scaling framework. Our key idea is to actively guide the reasoning process by re-injecting a coreset of visual tokens that are semantically relevant to the reasoning context while remaining diverse and globally representative of the image, enabling more grounded multi-modal reasoning. Experiments on three visual reasoning benchmarks with state-of-the-art multi-modal large reasoning models demonstrate that, under fixed test-time compute budgets, VisRef consistently outperforms existing test-time scaling approaches by up to 6.4%.", "authors": ["Soumya Suvra Ghosal", "Youngeun Kim", "Zhuowei Li", "Ritwick Chaudhry", "Linghan Xu", "Hongjing Zhang", "Jakub Zablocki", "Yifan Xing", "Qin Zhang"], "categories": ["cs.CV", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-27", "url": "https://arxiv.org/abs/2603.00207", "pdf_url": "https://arxiv.org/pdf/2603.00207v1", "arxiv_id": "2603.00207", "doi": "10.48550/arXiv.2603.00207", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4904} {"id": "9e2251c99a0b9de6fd5232a99e3761351907cb26f8113adec95c900e7e14a253", "sources": ["arxiv", "semantic_scholar"], "title": "Learning from Partial Chain-of-Thought via Truncated-Reasoning Self-Distillation", "abstract": "Reasoning-oriented language models achieve strong performance by generating long chain-of-thought traces at inference time. However, this capability comes with substantial and often excessive computational cost, which can materialize in redundant or inefficient reasoning. We study this setting and introduce Truncated-Reasoning Self-Distillation (TRSD), a lightweight post-training procedure that encourages models to produce correct predictions from partial reasoning traces. In TRSD, a frozen teacher model first generates a full reasoning trace and evaluates the corresponding answer distribution conditioned on the prompt and the complete reasoning to construct a synthetic training target. A student model with the same architecture is then trained to match the teacher's answer distribution while being conditioned only on a truncated prefix of its reasoning trace. Across multiple reasoning benchmarks and token budgets, we demonstrate that TRSD improves robustness to truncated inference, with far reduced accuracy tradeoffs when applied to a diverse set of reasoning models. Moreover, although never explicitly regularized for shorter generation during training, we also find that TRSD-trained models inherently output shorter reasoning traces without truncation, significantly reducing inference-time costs even without artificial interventions.", "authors": ["Gianluigi Silvestri", "Edoardo Cetin"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-27", "url": "https://arxiv.org/abs/2603.13274", "pdf_url": "https://arxiv.org/pdf/2603.13274v1", "arxiv_id": "2603.13274", "doi": "10.48550/arXiv.2603.13274", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4904} {"id": "b62294fe17f98fb5b0ad0ec2a02499137542d113b06fbd659e3758d885b00edd", "sources": ["arxiv", "semantic_scholar"], "title": "Stepwise Penalization for Length-Efficient Chain-of-Thought Reasoning", "abstract": "Large reasoning models improve with more test-time computation, but often overthink, producing unnecessarily long chains-of-thought that raise cost without improving accuracy. Prior reinforcement learning approaches typically rely on a single outcome reward with trajectory-level length penalties, which cannot distinguish essential from redundant reasoning steps and therefore yield blunt compression. Although recent work incorporates step-level signals, such as offline pruning, supervised data construction, or verifier-based intermediate rewards, reasoning length is rarely treated as an explicit step-level optimization objective during RL. We propose Step-wise Adaptive Penalization (SWAP), a fine-grained framework that allocates length reduction across steps based on intrinsic contribution. We estimate step importance from the model's on-policy log-probability improvement toward the correct answer, then treat excess length as a penalty mass redistributed to penalize low-importance steps more heavily while preserving high-importance reasoning. We optimize with a unified outcome-process advantage within group-relative policy optimization. Extensive experiments demonstrate that SWAP reduces reasoning length by 64.3% on average while improving accuracy by 5.7% relative to the base model.", "authors": ["Xintong Li", "Sha Li", "Rongmei Lin", "Hongye Jin", "Linwei Li", "Hejie Cui", "Sarah Zhang", "Chia-Yuan Chang", "Kewei Cheng", "Besnik Fetahu", "Priyanka Nigam", "Jingbo Shang", "Bing Yin"], "categories": ["cs.CL", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-27", "url": "https://arxiv.org/abs/2603.00296", "pdf_url": "https://arxiv.org/pdf/2603.00296v1", "arxiv_id": "2603.00296", "doi": "10.48550/arXiv.2603.00296", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4904} {"id": "a9b8254531790e14a4f1e625155213825a8eacd9a70802c918ea7c2f335a389c", "sources": ["arxiv", "semantic_scholar"], "title": "TCM-DiffRAG: Personalized Syndrome Differentiation Reasoning Method for Traditional Chinese Medicine based on Knowledge Graph and Chain of Thought", "abstract": "Background: Retrieval augmented generation (RAG) technology can empower large language models (LLMs) to generate more accurate, professional, and timely responses without fine tuning. However, due to the complex reasoning processes and substantial individual differences involved in traditional Chinese medicine (TCM) clinical diagnosis and treatment, traditional RAG methods often exhibit poor performance in this domain. Objective: To address the limitations of conventional RAG approaches in TCM applications, this study aims to develop an improved RAG framework tailored to the characteristics of TCM reasoning. Methods: We developed TCM-DiffRAG, an innovative RAG framework that integrates knowledge graphs (KG) with chains of thought (CoT). TCM-DiffRAG was evaluated on three distinctive TCM test datasets. Results: The experimental results demonstrated that TCM-DiffRAG achieved significant performance improvements over native LLMs. For example, the qwen-plus model achieved scores of 0.927, 0.361, and 0.038, which were significantly enhanced to 0.952, 0.788, and 0.356 with TCM-DiffRAG. The improvements were even more pronounced for non-Chinese LLMs. Additionally, TCM-DiffRAG outperformed directly supervised fine-tuned (SFT) LLMs and other benchmark RAG methods. Conclusions: TCM-DiffRAG shows that integrating structured TCM knowledge graphs with Chain of Thought based reasoning substantially improves performance in individualized diagnostic tasks. The joint use of universal and personalized knowledge graphs enables effective alignment between general knowledge and clinical reasoning. These results highlight the potential of reasoning-aware RAG frameworks for advancing LLM applications in traditional Chinese medicine.", "authors": ["Jianmin Li", "Ying Chang", "Su-Kit Tang", "Yujia Liu", "Yanwen Wang", "Shuyuan Lin", "Binkai Ou"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science", "Medicine"], "published_date": "2026-02-26", "url": "https://arxiv.org/abs/2602.22828", "pdf_url": "https://arxiv.org/pdf/2602.22828v1", "arxiv_id": "2602.22828", "doi": "10.3389/fmed.2026.1804478", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "Frontiers in Medicine", "quality_score": 0.4893} {"id": "0bb3ae82830e54c58ea6809aca6b41bf97a9ea84b4fc6c2af218ace9e83a2d26", "sources": ["arxiv", "semantic_scholar"], "title": "D-COT: Disciplined Chain-of-Thought Learning for Efficient Reasoning in Small Language Models", "abstract": "Chain-of-Thought (CoT) distillation from Large Language Models (LLMs) often induces \"overthinking\" in Small Language Models (SLMs), leading to performance degradation and excessive token consumption. In this study, we propose Disciplined Chain-of-Thought (D-CoT), a novel framework that enforces a structured reasoning process using control tags -- such as for fact-checking and for multi-perspective exploration -- as auxiliary scaffolding during training. By optimizing the CoT trajectory, D-CoT suppresses reasoning drift and simultaneously achieves token reduction and performance improvement. We demonstrate the efficacy of our approach on Qwen3-8B: with only 5,000 training samples, D-CoT significantly boosts accuracy on GPQA-diamond by 9.9% and MMLU-Pro (0-shot) by 9.1%, while drastically reducing computational costs. Furthermore, we confirm that the model internalizes this disciplined thought structure, maintaining high performance even without explicit control tags during inference.", "authors": ["Shunsuke Ubukata"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-25", "url": "https://arxiv.org/abs/2602.21786", "pdf_url": "https://arxiv.org/pdf/2602.21786v1", "arxiv_id": "2602.21786", "doi": "10.48550/arXiv.2602.21786", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/gitpullpull/DisciplinedChainOfThought", "venue": "arXiv.org", "quality_score": 0.7544} {"id": "e37d453a9265820365d533c683bd4c97821ea0ed6eb7c87d3b748451d57929a7", "sources": ["arxiv", "semantic_scholar"], "title": "The Art of Efficient Reasoning: Data, Reward, and Optimization", "abstract": "Large Language Models (LLMs) consistently benefit from scaled Chain-of-Thought (CoT) reasoning, but also suffer from heavy computational overhead. To address this issue, efficient reasoning aims to incentivize short yet accurate thinking trajectories, typically through reward shaping with Reinforcement Learning (RL). In this paper, we systematically investigate the mechanics of efficient reasoning for LLMs. For comprehensive evaluation, we advocate for more fine-grained metrics, including length distribution conditioned on correctness and performance across a wide spectrum of token budgets ranging from 2k to 32k. First, we reveal that the training process follows a two-stage paradigm: length adaptation and reasoning refinement. Through extensive experiments (about 0.2 million GPU hours) in a unified protocol, we deconstruct training prompts and rollouts, reward shaping, and optimization strategies. A central finding is to maintain a sufficient density of positive reward signals and avoid the short-is-correct trap. Moreover, the learned length bias generalizes across domains and difficulty levels. We distill these findings into valuable insights and practical guidelines, and validate them across the Qwen3 models ranging from 0.6B to 30B, demonstrating the robustness and generalization. Weights are available at https://wutaiqiang.github.io/project/Art", "authors": ["Taiqiang Wu", "Zenan Xu", "Bo Zhou", "Ngai Wong"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-24", "url": "https://arxiv.org/abs/2602.20945", "pdf_url": "https://arxiv.org/pdf/2602.20945v3", "arxiv_id": "2602.20945", "doi": "10.48550/arXiv.2602.20945", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.487} {"id": "fc5a7fe56f7fb18560be34fd6ec26658e61a5948fa4b937e8ea0a670a695fd69", "sources": ["arxiv", "semantic_scholar"], "title": "To Reason or Not to: Selective Chain-of-Thought in Medical Question Answering", "abstract": "Objective: To improve the efficiency of medical question answering (MedQA) with large language models (LLMs) by avoiding unnecessary reasoning while maintaining accuracy. Methods: We propose Selective Chain-of-Thought (Selective CoT), an inference-time strategy that first predicts whether a question requires reasoning and generates a rationale only when needed. Two open-source LLMs (Llama-3.1-8B and Qwen-2.5-7B) were evaluated on four biomedical QA benchmarks-HeadQA, MedQA-USMLE, MedMCQA, and PubMedQA. Metrics included accuracy, total generated tokens, and inference time. Results: Selective CoT reduced inference time by 13-45% and token usage by 8-47% with minimal accuracy loss ($\\leq$4\\%). In some model-task pairs, it achieved both higher accuracy and greater efficiency than standard CoT. Compared with fixed-length CoT, Selective CoT reached similar or superior accuracy at substantially lower computational cost. Discussion: Selective CoT dynamically balances reasoning depth and efficiency by invoking explicit reasoning only when beneficial, reducing redundancy on recall-type questions while preserving interpretability. Conclusion: Selective CoT provides a simple, model-agnostic, and cost-effective approach for medical QA, aligning reasoning effort with question complexity to enhance real-world deployability of LLM-based clinical systems.", "authors": ["Zaifu Zhan", "Min Zeng", "Shuang Zhou", "Yiran Song", "Xiaoyi Chen", "Yu Hou", "Yifan Wu", "Yang Ruan", "Rui Zhang"], "categories": ["cs.CL", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-23", "url": "https://arxiv.org/abs/2602.20130", "pdf_url": "https://arxiv.org/pdf/2602.20130v1", "arxiv_id": "2602.20130", "doi": "10.48550/arXiv.2602.20130", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": "arXiv.org", "quality_score": 0.7508} {"id": "cecc3fe9230371dc0f84492904b6c929e969df2f9348877e263bb9db0b2b487e", "sources": ["arxiv", "semantic_scholar"], "title": "Evaluating Chain-of-Thought Reasoning through Reusability and Verifiability", "abstract": "In multi-agent IR pipelines for tasks such as search and ranking, LLM-based agents exchange intermediate reasoning in terms of Chain-of-Thought (CoT) with each other. Current CoT evaluation narrowly focuses on target task accuracy. However, this metric fails to assess the quality or utility of the reasoning process itself. To address this limitation, we introduce two novel measures: reusability and verifiability. We decouple CoT generation from execution using a Thinker-Executor framework. Reusability measures how easily an Executor can reuse the Thinker's CoT. Verifiability measures how frequently an Executor can match the Thinker's answer using the CoT. We evaluated four Thinker models against a committee of ten Executor models across five benchmarks. Our results reveal that reusability and verifiability do not correlate with standard accuracy, exposing a blind spot in current accuracy-based leaderboards for reasoning capability. Surprisingly, we find that CoTs from specialized reasoning models are not consistently more reusable or verifiable than those from general-purpose LLMs like Llama and Gemma.", "authors": ["Shashank Aggarwal", "Ram Vikas Mishra", "Amit Awekar"], "categories": ["cs.AI", "cs.CL", "cs.IR"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-19", "url": "https://arxiv.org/abs/2602.17544", "pdf_url": "https://arxiv.org/pdf/2602.17544v1", "arxiv_id": "2602.17544", "doi": "10.48550/arXiv.2602.17544", "citation_count": 3, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4813} {"id": "62c4c284364a2abb2c1ca513c64d580beb7f9fb2275350a1b6a7fcede8397b82", "sources": ["arxiv", "semantic_scholar"], "title": "Framework of Thoughts: A Foundation Framework for Dynamic and Optimized Reasoning based on Chains, Trees, and Graphs", "abstract": "Prompting schemes such as Chain of Thought, Tree of Thoughts, and Graph of Thoughts can significantly enhance the reasoning capabilities of large language models. However, most existing schemes require users to define static, problem-specific reasoning structures that lack adaptability to dynamic or unseen problem types. Additionally, these schemes are often under-optimized in terms of hyperparameters, prompts, runtime, and prompting cost. To address these limitations, we introduce Framework of Thoughts (FoT)--a general-purpose foundation framework for building and optimizing dynamic reasoning schemes. FoT comes with built-in features for hyperparameter tuning, prompt optimization, parallel execution, and intelligent caching, unlocking the latent performance potential of reasoning schemes. We demonstrate FoT's capabilities by implementing three popular schemes--Tree of Thoughts, Graph of Thoughts, and ProbTree--within FoT. We empirically show that FoT enables significantly faster execution, reduces costs, and achieves better task scores through optimization. We release our codebase to facilitate the development of future dynamic and efficient reasoning schemes.", "authors": ["Felix Fricke", "Simon Malberg", "Georg Groh"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-18", "url": "https://arxiv.org/abs/2602.16512", "pdf_url": "https://arxiv.org/pdf/2602.16512v1", "arxiv_id": "2602.16512", "doi": "10.48550/arXiv.2602.16512", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4801} {"id": "cfcfdc6f8e95f0c7f406a633e639b9ac64e4c28e9b28e973ff6ddb98fb608c79", "sources": ["arxiv", "semantic_scholar"], "title": "GTS: Inference-Time Scaling of Latent Reasoning with a Learnable Gaussian Thought Sampler", "abstract": "Inference-time scaling (ITS) in latent reasoning models typically relies on heuristic perturbations, such as dropout or fixed Gaussian noise, to generate diverse candidate trajectories. However, we show that stronger perturbations do not necessarily yield better sampling quality: they often induce larger distribution shifts without producing more useful reasoning paths or better final decisions. A key limitation is that these perturbations inject stochasticity without defining an explicit conditional sampling distribution, making latent exploration difficult to control or optimize. To address this, we propose the Gaussian Thought Sampler (GTS), a lightweight module that reformulates latent exploration as sampling from a learned conditional distribution over continuous reasoning states. GTS predicts context-dependent perturbation distributions and is trained with GRPO-style policy optimization while keeping the backbone frozen, turning heuristic perturbation into an explicit probabilistic sampling policy. Experiments across multiple benchmarks and two latent reasoning architectures show that GTS yields more reliable inference-time scaling than heuristic baselines, suggesting that effective latent ITS requires better-controlled and optimizable sampling rather than simply amplifying stochasticity.", "authors": ["Minghan Wang", "Ye Bai", "Thuy-Trang Vu", "Ehsan Shareghi", "Gholamreza Haffari"], "categories": ["cs.CL", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-15", "url": "https://arxiv.org/abs/2602.14077", "pdf_url": "https://arxiv.org/pdf/2602.14077v2", "arxiv_id": "2602.14077", "doi": "10.48550/arXiv.2602.14077", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4767} {"id": "ded16176fd7022ea5f21054aed51471a6010ae6151ac6eae53361a1a0056e31d", "sources": ["arxiv", "semantic_scholar"], "title": "The Interspeech 2026 Audio Reasoning Challenge: Evaluating Reasoning Process Quality for Audio Reasoning Models and Agents", "abstract": "Recent Large Audio Language Models (LALMs) excel in understanding but often lack transparent reasoning. To address this \"black-box\" limitation, we organized the Audio Reasoning Challenge at Interspeech 2026, the first shared task dedicated to evaluating Chain-of-Thought (CoT) quality in the audio domain. The challenge introduced MMAR-Rubrics, a novel instance-level protocol assessing the factuality and logic of reasoning chains. Featured Single Model and Agent tracks, the competition attracting 156 teams from 18 countries and regions. Results show agent systems currently lead in reasoning quality, utilizing iterative tool orchestration and cross-modal analysis. Besides, single models are rapidly advancing via reinforcement learning and sophisticated data pipeline. We details the challenge design, methodology, and a comprehensive analysis of state-of-the-art systems, providing new insights for explainable audio intelligence.", "authors": ["Ziyang Ma", "Ruiyang Xu", "Yinghao Ma", "Chao-Han Huck Yang", "Bohan Li", "Jaeyeon Kim", "Jin Xu", "Jinyu Li", "Carlos Busso", "Kai Yu", "Eng Siong Chng", "Xie Chen"], "categories": ["cs.SD", "cs.CL", "cs.MM"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-15", "url": "https://arxiv.org/abs/2602.14224", "pdf_url": "https://arxiv.org/pdf/2602.14224v1", "arxiv_id": "2602.14224", "doi": "10.48550/arXiv.2602.14224", "citation_count": 9, "influential_citation_count": 1, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4767} {"id": "c9e1417ccbbf6bb42215bdc992e88b7880857b40e461add2daa0206b5bd2980f", "sources": ["arxiv", "semantic_scholar"], "title": "Diagnosing Pathological Chain-of-Thought in Reasoning Models", "abstract": "Chain-of-thought (CoT) reasoning is fundamental to modern LLM architectures and represents a critical intervention point for AI safety. However, CoT reasoning may exhibit failure modes that we note as pathologies, which prevent it from being useful for monitoring. Prior work has identified three distinct pathologies: post-hoc rationalization, where models generate plausible explanations backwards from predetermined answers; encoded reasoning, where intermediate steps conceal information within seemingly interpretable text; and internalized reasoning, where models replace explicit reasoning with meaningless filler tokens while computing internally. To better understand and discriminate between these pathologies, we create a set of concrete metrics that are simple to implement, computationally inexpensive, and task-agnostic. To validate our approach, we develop model organisms deliberately trained to exhibit specific CoT pathologies. Our work provides a practical toolkit for assessing CoT pathologies, with direct implications for training-time monitoring.", "authors": ["Manqing Liu", "David Williams-King", "Ida Caspary", "Linh Le", "Hannes Whittingham", "Puria Radmard", "Cameron Tice", "Edward James Young"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-14", "url": "https://arxiv.org/abs/2602.13904", "pdf_url": "https://arxiv.org/pdf/2602.13904v1", "arxiv_id": "2602.13904", "doi": "10.48550/arXiv.2602.13904", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4755} {"id": "72ba21d1644158a658cbe0f366a77a750b9ac123bfb46774a65c9ad839e3fe3c", "sources": ["arxiv", "semantic_scholar"], "title": "UniT: Unified Multimodal Chain-of-Thought Test-time Scaling", "abstract": "Unified models can handle both multimodal understanding and generation within a single architecture, yet they typically operate in a single pass without iteratively refining their outputs. Many multimodal tasks, especially those involving complex spatial compositions, multiple interacting objects, or evolving instructions, require decomposing instructions, verifying intermediate results, and making iterative corrections. While test-time scaling (TTS) has demonstrated that allocating additional inference compute for iterative reasoning substantially improves language model performance, extending this paradigm to unified multimodal models remains an open challenge. We introduce UniT, a framework for multimodal chain-of-thought test-time scaling that enables a single unified model to reason, verify, and refine across multiple rounds. UniT combines agentic data synthesis, unified model training, and flexible test-time inference to elicit cognitive behaviors including verification, subgoal decomposition, and content memory. Our key findings are: (1) unified models trained on short reasoning trajectories generalize to longer inference chains at test time; (2) sequential chain-of-thought reasoning provides a more scalable and compute-efficient TTS strategy than parallel sampling; (3) training on generation and editing trajectories improves out-of-distribution visual reasoning. These results establish multimodal test-time scaling as an effective paradigm for advancing both generation and understanding in unified models.", "authors": ["Leon Liangyu Chen", "Haoyu Ma", "Zhipeng Fan", "Ziqi Huang", "Animesh Sinha", "Xiaoliang Dai", "Jialiang Wang", "Zecheng He", "Jianwei Yang", "Chunyuan Li", "Junzhe Sun", "Chu Wang", "Serena Yeung-Levy", "Felix Juefei-Xu"], "categories": ["cs.CV", "cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-12", "url": "https://arxiv.org/abs/2602.12279", "pdf_url": "https://arxiv.org/pdf/2602.12279v2", "arxiv_id": "2602.12279", "doi": "10.48550/arXiv.2602.12279", "citation_count": 3, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4732} {"id": "e984ecf62b7b268bb62c552659350cd01f388a8cf8bb4f0f30f44d4e075b0279", "sources": ["arxiv", "semantic_scholar"], "title": "Characterizing, Evaluating, and Optimizing Complex Reasoning", "abstract": "Large Reasoning Models (LRMs) increasingly rely on reasoning traces with complex internal structures. However, existing work lacks a unified answer to three fundamental questions: (1) what defines high-quality reasoning, (2) how to reliably evaluate long, implicitly structured reasoning traces, and (3) how to use such evaluation signals for reasoning optimization. To address these challenges, we provide a unified perspective. (1) We introduce the ME$^2$ principle to characterize reasoning quality along macro- and micro-level concerning efficiency and effectiveness. (2) Built on this principle, we model reasoning traces as directed acyclic graphs (DAGs) and develop a DAG-based pairwise evaluation method, capturing complex reasoning structures. (3) Based on this method, we construct the TRM-Preference dataset and train a Thinking Reward Model (TRM) to evaluate reasoning quality at scale. Experiments show that thinking rewards serve as an effective optimization signal. At test time, selecting better reasoning leads to better outcomes (up to 19.3\\% gain), and during RL training, thinking rewards enhance reasoning and performance (up to 3.9\\% gain) across diverse tasks. Code and data are available at https://github.com/Simplified-Reasoning/TRM.", "authors": ["Haoran Zhang", "Yafu Li", "Zhi Wang", "Zhilin Wang", "Shunkai Zhang", "Xiaoye Qu", "Yu Cheng"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-09", "url": "https://arxiv.org/abs/2602.08498", "pdf_url": "https://arxiv.org/pdf/2602.08498v2", "arxiv_id": "2602.08498", "doi": "10.48550/arXiv.2602.08498", "citation_count": 1, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/Simplified-Reasoning/TRM", "venue": "arXiv.org", "quality_score": 0.726} {"id": "33c73e02de489b03686fdd51a186597428b0d0f2d22a5d304fc170ff07fad601", "sources": ["arxiv", "semantic_scholar"], "title": "Towards Efficient Large Language Reasoning Models via Extreme-Ratio Chain-of-Thought Compression", "abstract": "Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical loss of logical fidelity at high compression ratios, resulting in significant performance degradation. To achieve high-fidelity, fast reasoning, we propose a novel EXTreme-RAtio Chain-of-Thought Compression framework, termed Extra-CoT, which aggressively reduces the token budget while preserving answer accuracy. To generate reliable, high-fidelity supervision, we first train a dedicated semantically-preserved compressor on mathematical CoT data with fine-grained annotations. An LLM is then fine-tuned on these compressed pairs via a mixed-ratio supervised fine-tuning (SFT), teaching it to follow a spectrum of compression budgets and providing a stable initialization for reinforcement learning (RL). We further propose Constrained and Hierarchical Ratio Policy Optimization (CHRPO) to explicitly incentivize question-solving ability under lower budgets by a hierarchical reward. Experiments on three mathematical reasoning benchmarks show the superiority of Extra-CoT. For example, on MATH-500 using Qwen3-1.7B, Extra-CoT achieves over 73\\% token reduction with an accuracy improvement of 0.6\\%, significantly outperforming state-of-the-art (SOTA) methods. Our source codes have been released at https://github.com/Mwie1024/Extra-CoT.", "authors": ["Yuntian Tang", "Bohan Jia", "Wenxuan Huang", "Lianyue Zhang", "Jiao Xie", "Wenxi Li", "Wei Li", "Jie Hu", "Xinghao Chen Rongrong Ji", "Shaohui Lin"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-09", "url": "https://arxiv.org/abs/2602.08324", "pdf_url": "https://arxiv.org/pdf/2602.08324v5", "arxiv_id": "2602.08324", "doi": "10.48550/arXiv.2602.08324", "citation_count": 3, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/Mwie1024/Extra-CoT", "venue": "arXiv.org", "quality_score": 0.726} {"id": "f4f2cdbb1f79f602792fe318baeb232e641041a4847d7fc9cae7f6bffc167061", "sources": ["arxiv", "semantic_scholar"], "title": "Recurrent-Depth VLA: Implicit Test-Time Compute Scaling of Vision-Language-Action Models via Latent Iterative Reasoning", "abstract": "Current Vision-Language-Action (VLA) models rely on fixed computational depth, expending the same amount of compute on simple adjustments and complex multi-step manipulation. While Chain-of-Thought (CoT) prompting enables variable computation, it scales memory linearly and is ill-suited for continuous action spaces. We introduce Recurrent-Depth VLA (RD-VLA), an architecture that achieves computational adaptivity via latent iterative refinement rather than explicit token generation. RD-VLA employs a recurrent, weight-tied action head that supports arbitrary inference depth with a constant memory footprint. The model is trained using truncated backpropagation through time (TBPTT) to efficiently supervise the refinement process. At inference, RD-VLA dynamically allocates compute using an adaptive stopping criterion based on latent convergence. Experiments on challenging manipulation tasks show that recurrent depth is critical: tasks that fail entirely (0 percent success) with single-iteration inference exceed 90 percent success with four iterations, while simpler tasks saturate rapidly. RD-VLA provides a scalable path to test-time compute in robotics, replacing token-based reasoning with latent reasoning to achieve constant memory usage and up to 80x inference speedup over prior reasoning-based VLA models. Project page: https://rd-vla.github.io/", "authors": ["Yalcin Tur", "Jalal Naghiyev", "Haoquan Fang", "Wei-Chuan Tsai", "Jiafei Duan", "Dieter Fox", "Ranjay Krishna"], "categories": ["cs.RO"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-08", "url": "https://arxiv.org/abs/2602.07845", "pdf_url": "https://arxiv.org/pdf/2602.07845v1", "arxiv_id": "2602.07845", "doi": "10.48550/arXiv.2602.07845", "citation_count": 6, "influential_citation_count": 1, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4686} {"id": "5301e5ea0613803d9fe21d848abd13832061ca0eda4e7fea13da288f1f41a82e", "sources": ["arxiv", "semantic_scholar"], "title": "Surprisal-Guided Selection: Compute-Optimal Test-Time Strategies for Execution-Grounded Code Generation", "abstract": "Test-time training (TTT) adapts language models through gradient-based updates at inference. But is adaptation the right strategy? We study compute-optimal test-time strategies for verifiable execution-grounded (VEG) tasks, domains like GPU kernel optimization where a deterministic evaluator provides dense, continuous reward signals. Using KernelBench as our testbed and a 120B-parameter model (GPT-OSS-120B with LoRA adaptation), we find that search outperforms minimal adaptation (1-5 gradient steps): Best-of-N sampling achieves 90% task success (18/20 tasks) at K=64 across the full KernelBench L1 eval set while TTT's best checkpoint reaches only 30.6% (3-seed mean), with TTT's \"equivalent K\" falling below 1, worse than single-sample inference. The failure mode is over-sharpening: gradient updates collapse diversity toward mediocre solutions rather than discovering optimal ones. Our main contribution is surprisal-guided selection: selecting the highest-surprisal (lowest-confidence) correct sample yields 80% success vs. 50% for most-confident selection, a 30% improvement. Extending to surprisal-guided-top3 matches oracle performance at 100%. This zero-cost strategy, validated through length-controlled analysis, recovers oracle performance. For dense-reward VEG tasks, compute should be allocated to sample diversity and intelligent selection rather than gradient adaptation. The surprisal-guided selection principle may generalize to other execution-grounded domains where optimal solutions occupy the distribution tail.", "authors": ["Jarrod Barnes"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-07", "url": "https://arxiv.org/abs/2602.07670", "pdf_url": "https://arxiv.org/pdf/2602.07670v1", "arxiv_id": "2602.07670", "doi": "10.48550/arXiv.2602.07670", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/jbarnes850/test-time-training", "venue": "arXiv.org", "quality_score": 0.7225} {"id": "cba375976102edb252d9f26ea2a4383828973bfa5accef3441c18e5b415114bd", "sources": ["arxiv", "semantic_scholar"], "title": "Are Reasoning LLMs Robust to Interventions on Their Chain-of-Thought?", "abstract": "Reasoning LLMs (RLLMs) generate step-by-step chains of thought (CoTs) before giving an answer, which improves performance on complex tasks and makes reasoning more transparent. But how robust are these reasoning traces to disruptions that occur within them? To address this question, we introduce a controlled evaluation framework that perturbs a model's own CoT at fixed timesteps. We design seven interventions (benign, neutral, and adversarial) and apply them to multiple open-weight RLLMs across Math, Science, and Logic tasks. Our results show that RLLMs are generally robust, reliably recovering from diverse perturbations, with robustness improving with model size and degrading when interventions occur early. However, robustness is not style-invariant: paraphrasing suppresses doubt-like expressions and reduces performance, while other interventions trigger doubt and support recovery. Recovery also carries a cost: neutral and adversarial noise can inflate CoT length by more than 200%, whereas paraphrasing shortens traces but harms accuracy. These findings provide new evidence on how RLLMs maintain reasoning integrity, identify doubt as a central recovery mechanism, and highlight trade-offs between robustness and efficiency that future training methods should address.", "authors": ["Alexander von Recum", "Leander Girrbach", "Zeynep Akata"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-07", "url": "https://arxiv.org/abs/2602.07470", "pdf_url": "https://arxiv.org/pdf/2602.07470v1", "arxiv_id": "2602.07470", "doi": "10.48550/arXiv.2602.07470", "citation_count": 4, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4675} {"id": "a46b0d3436f4e1c619b67d8784861348153b3d306cf87ad2306d234bbe6a645c", "sources": ["arxiv", "semantic_scholar"], "title": "Inference-Time Rethinking with Latent Thought Vectors for Math Reasoning", "abstract": "Standard chain-of-thought reasoning generates a solution in a single forward pass, committing irrevocably to each token and lacking a mechanism to recover from early errors. We introduce Inference-Time Rethinking, a generative framework that enables iterative self-correction by decoupling declarative latent thought vectors from procedural generation. We factorize reasoning into a continuous latent thought vector (what to reason about) and a decoder that verbalizes the trace conditioned on this vector (how to reason). Beyond serving as a declarative buffer, latent thought vectors compress the reasoning structure into a continuous representation that abstracts away surface-level token variability, making gradient-based optimization over reasoning strategies well-posed. Our prior model maps unstructured noise to a learned manifold of valid reasoning patterns, and at test time we employ a Gibbs-style procedure that alternates between generating a candidate trace and optimizing the latent vector to better explain that trace, effectively navigating the latent manifold to refine the reasoning strategy. Training a 0.2B-parameter model from scratch on GSM8K, our method with 30 rethinking iterations surpasses baselines with 10 to 15 times more parameters, including a 3B counterpart. This result demonstrates that effective mathematical reasoning can emerge from sophisticated inference-time computation rather than solely from massive parameter counts.", "authors": ["Deqian Kong", "Minglu Zhao", "Aoyang Qin", "Bo Pang", "Chenxin Tao", "David Hartmann", "Edouardo Honig", "Dehong Xu", "Amit Kumar", "Matt Sarte", "Chuan Li", "Jianwen Xie", "Ying Nian Wu"], "categories": ["cs.CL", "cs.LG", "stat.ML"], "fields_of_study": ["Computer Science", "Mathematics"], "published_date": "2026-02-06", "url": "https://arxiv.org/abs/2602.06584", "pdf_url": "https://arxiv.org/pdf/2602.06584v1", "arxiv_id": "2602.06584", "doi": "10.48550/arXiv.2602.06584", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4664} {"id": "fb5d3bc6cb961121f789a9f6f7d37778684d989e4c48783c0b4a20377cf5ba93", "sources": ["arxiv", "semantic_scholar"], "title": "Intrinsic Stability Limits of Autoregressive Reasoning: Structural Consequences for Long-Horizon Execution", "abstract": "Large language models (LLMs) demonstrate remarkable reasoning capabilities, yet their performance often deteriorates sharply in long-horizon tasks, exhibiting systematic breakdown beyond certain scales. Conventional explanations primarily attribute this phenomenon to task complexity, such as combinatorial search explosion or long-term credit assignment challenges. In this work, we argue that these explanations are incomplete: even in linear, unbranched tasks without semantic ambiguity, autoregressive execution is subject to an intrinsic stability limit. We propose that the fundamental constraint on long-horizon reasoning arises from process-level instability in autoregressive generation rather than solely from search or task complexity, reframing long-horizon reasoning as a problem of structural governance. We derive Theorem~A, showing that decision advantage in single-path autoregressive reasoning decays exponentially with execution length, imposing a fundamental bound on maintainable reasoning chains. This result implies a structural consequence: stable long-horizon reasoning requires discrete segmentation, naturally inducing graph-like execution structures such as directed acyclic graphs (DAGs). Empirical studies in both synthetic environments and real TextWorld tasks reveal observable performance cliffs consistent with theoretical predictions. Our findings provide a dynamical perspective on long-horizon reasoning failure and suggest new limitations on maintaining long-term coherence under purely autoregressive architectures. Furthermore, we highlight that short-horizon evaluation protocols may obscure structural instability, indicating a potential shift from scaling toward structured governance in future reasoning systems.", "authors": ["Hsien-Jyh Liao"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-06", "url": "https://arxiv.org/abs/2602.06413", "pdf_url": "https://arxiv.org/pdf/2602.06413v1", "arxiv_id": "2602.06413", "doi": "10.48550/arXiv.2602.06413", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4664} {"id": "51c699147a3a07ed163b45f7ec63cb145ce6db768edee681ed14fd8285bd5a5f", "sources": ["arxiv", "semantic_scholar"], "title": "SPARC: Separating Perception And Reasoning Circuits for Test-time Scaling of VLMs", "abstract": "Despite recent successes, test-time scaling - i.e., dynamically expanding the token budget during inference as needed - remains brittle for vision-language models (VLMs): unstructured chains-of-thought about images entangle perception and reasoning, leading to long, disorganized contexts where small perceptual mistakes may cascade into completely wrong answers. Moreover, expensive reinforcement learning with hand-crafted rewards is required to achieve good performance. Here, we introduce SPARC (Separating Perception And Reasoning Circuits), a modular framework that explicitly decouples visual perception from reasoning. Inspired by sequential sensory-to-cognitive processing in the brain, SPARC implements a two-stage pipeline where the model first performs explicit visual search to localize question-relevant regions, then conditions its reasoning on those regions to produce the final answer. This separation enables independent test-time scaling with asymmetric compute allocation (e.g., prioritizing perceptual processing under distribution shift), supports selective optimization (e.g., improving the perceptual stage alone when it is the bottleneck for end-to-end performance), and accommodates compressed contexts by running global search at lower image resolutions and allocating high-resolution processing only to selected regions, thereby reducing total visual tokens count and compute. Across challenging visual reasoning benchmarks, SPARC outperforms monolithic baselines and strong visual-grounding approaches. For instance, SPARC improves the accuracy of Qwen3VL-4B on the $V^*$ VQA benchmark by 6.7 percentage points, and it surpasses \"thinking with images\" by 4.6 points on a challenging OOD task despite requiring a 200$\\times$ lower token budget.", "authors": ["Niccolo Avogaro", "Nayanika Debnath", "Li Mi", "Thomas Frick", "Junling Wang", "Zexue He", "Hang Hua", "Konrad Schindler", "Mattia Rigotti"], "categories": ["cs.CV", "cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-06", "url": "https://arxiv.org/abs/2602.06566", "pdf_url": "https://arxiv.org/pdf/2602.06566v2", "arxiv_id": "2602.06566", "doi": "10.48550/arXiv.2602.06566", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4664} {"id": "3187fc6060ef24251b5b9863eca5a08632148f06a903bd75fe1490c01fa262dc", "sources": ["arxiv", "semantic_scholar"], "title": "ORACL: Optimized Reasoning for Autoscaling via Chain of Thought with LLMs for Microservices", "abstract": "Applications are moving away from monolithic designs to microservice and serverless architectures, where fleets of lightweight and independently deployable components run on public clouds. Autoscaling serves as the primary control mechanism for balancing resource utilization and quality of service, yet existing policies are either opaque learned models that require substantial per-deployment training or brittle hand-tuned rules that fail to generalize. We investigate whether large language models can act as universal few-shot resource allocators that adapt across rapidly evolving microservice deployments. We propose ORACL, Optimized Reasoning for Autoscaling via Chain of Thought with LLMs for Microservices, a framework that leverages prior knowledge and chain-of-thought reasoning to diagnose performance regressions and recommend resource allocations. ORACL transforms runtime telemetry, including pods, replicas, CPU and memory usage, latency, service-level objectives, and fault signals, into semantic natural-language state descriptions and invokes an LLM to produce an interpretable intermediate reasoning trace. This reasoning identifies likely root causes, prunes the action space, and issues safe allocation decisions under policy constraints. Experiments on representative open-source microservice workloads show that ORACL improves root-cause identification accuracy by 15 percent, accelerates training by up to 24x, and improves quality of service by 6 percent in short-term scenarios, without deployment-specific retraining.", "authors": ["Haoyu Bai", "Muhammed Tawfiqul Islam", "Minxian Xu", "Rajkumar Buyya"], "categories": ["cs.DC"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-05", "url": "https://arxiv.org/abs/2602.05292", "pdf_url": "https://arxiv.org/pdf/2602.05292v1", "arxiv_id": "2602.05292", "doi": "10.48550/arXiv.2602.05292", "citation_count": 0, "influential_citation_count": 0, "has_code": true, "code_url": null, "venue": "arXiv.org", "quality_score": 0.719} {"id": "1b52ecb90ed4cb210c9a0c246ed398ec880899651646a3087227467bbf1b07b4", "sources": ["arxiv", "semantic_scholar"], "title": "MentorCollab: Selective Large-to-Small Inference-Time Guidance for Efficient Reasoning", "abstract": "Large reasoning models (LRMs) achieve strong performance by producing long chains of thought, but their inference costs are high and often generate redundant reasoning. Small language models (SLMs) are far more efficient, yet struggle on multi-step reasoning tasks. A natural idea is to let a large model guide a small one at inference time as a mentor, yet existing collaboration methods often promote imitation, resulting in verbose reasoning without consistent error correction. We propose MentorCollab, an inference-time collaboration method in which an LRM selectively and sparsely guides an SLM, rather than taking over generation. At randomly sampled token positions, we probe for divergences between the two models and use a lightweight verifier to decide whether the SLM should follow a short lookahead segment from its mentor or continue on its own. Across 15 SLM--LRM pairs and 3 domains (math reasoning, general knowledge, and commonsense reasoning), our method improves performance in 12 settings, with average gains of 3.0% and up to 8.0%, while adopting only having 18.4% tokens generated by the expensive mentor model on average. We find that short segments and selective probing are sufficient for effective collaboration. Our results show that selective inference-time guidance restores large-model reasoning ability without substantial inference overhead.", "authors": ["Haojin Wang", "Yike Wang", "Shangbin Feng", "Hannaneh Hajishirzi", "Yulia Tsvetkov"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-05", "url": "https://arxiv.org/abs/2602.05307", "pdf_url": "https://arxiv.org/pdf/2602.05307v1", "arxiv_id": "2602.05307", "doi": "10.48550/arXiv.2602.05307", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4652} {"id": "aa61f69d9c8363b807291e91e122676db6a66791a437f87f819482f2bf11d01c", "sources": ["arxiv", "semantic_scholar"], "title": "Mechanistic Evidence for Faithfulness Decay in Chain-of-Thought Reasoning", "abstract": "Chain-of-Thought (CoT) explanations are widely used to interpret how language models solve complex problems, yet it remains unclear whether these step-by-step explanations reflect how the model actually reaches its answer, or merely post-hoc justifications. We propose Normalized Logit Difference Decay (NLDD), a metric that measures whether individual reasoning steps are faithful to the model's decision-making process. Our approach corrupts individual reasoning steps from the explanation and measures how much the model's confidence in its answer drops, to determine if a step is truly important. By standardizing these measurements, NLDD enables rigorous cross-model comparison across different architectures. Testing three model families across syntactic, logical, and arithmetic tasks, we discover a consistent Reasoning Horizon (k*) at 70--85% of chain length, beyond which reasoning tokens have little or negative effect on the final answer. We also find that models can encode correct internal representations while completely failing the task. These results show that accuracy alone does not reveal whether a model actually reasons through its chain. NLDD offers a way to measure when CoT matters.", "authors": ["Donald Ye", "Max Loffgren", "Om Kotadia", "Linus Wong", "Jonas Rohweder"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-04", "url": "https://arxiv.org/abs/2602.11201", "pdf_url": "https://arxiv.org/pdf/2602.11201v2", "arxiv_id": "2602.11201", "doi": "10.48550/arXiv.2602.11201", "citation_count": 7, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/donald-ye/NLDD", "venue": "arXiv.org", "quality_score": 0.7172} {"id": "fa27c13ef3621408f2d2754559968a7bc0eaee5355af301a371c82a6d9cf7835", "sources": ["arxiv", "semantic_scholar"], "title": "CodeScaler: Scaling Code LLM Training and Test-Time Inference via Reward Models", "abstract": "Reinforcement Learning from Verifiable Rewards (RLVR) has driven recent progress in code large language models by leveraging execution-based feedback from unit tests, but its scalability is fundamentally constrained by the availability and reliability of high-quality test cases. We propose CodeScaler, a reward model designed to scale both reinforcement learning training and test-time inference for code generation. CodeScaler is trained on carefully curated preference data derived from verified code problems and incorporates syntax-aware code extraction and validity-preserving reward shaping to ensure stable and robust optimization. Across four coding benchmarks, CodeScaler consistently outperforms execution-based RL by +1.55 points on Qwen3-8B-Base and +4.23 points on Qwen3-14B-Base. By further scaling to 44K problems with additional synthetic data, CodeScaler yields +14.64 points improvement over the base model without requiring any test cases. At inference time, CodeScaler serves as an effective test-time scaling method, achieving performance comparable to unit test approaches while providing a 10-fold reduction in latency. Moreover, CodeScaler surpasses existing reward models on RM-Bench not only in the code domain (+3.3 points), but also in general and reasoning domains (+2.7 points on average).", "authors": ["Xiao Zhu", "Xinyu Zhou", "Boyu Zhu", "Hanxu Hu", "Mingzhe Du", "Haotian Zhang", "Huiming Wang", "Zhijiang Guo"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-04", "url": "https://arxiv.org/abs/2602.17684", "pdf_url": "https://arxiv.org/pdf/2602.17684v2", "arxiv_id": "2602.17684", "doi": null, "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": null, "quality_score": 0.2953} {"id": "dbd9c25063c503c2066ba9710c68b71d7305b6a6cc48cad35e3783fb4366b5ca", "sources": ["arxiv", "semantic_scholar"], "title": "Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs", "abstract": "Inference-time scaling via chain-of-thought (CoT) reasoning is a major driver of state-of-the-art LLM performance, but it comes with substantial latency and compute costs. We address a fundamental theoretical question: how many reasoning tokens are required to solve a problem as input size grows? By extending the bounded attention prefix oracle (BAPO) model--an abstraction of LLMs that quantifies the information flow required to solve a task--we prove lower bounds on the CoT tokens required for three canonical BAPO-hard tasks: binary majority, triplet matching, and graph reachability. We show that each requires $Ω(n)$ reasoning tokens when the input size is $n$. We complement these results with matching or near-matching upper bounds via explicit constructions. Finally, our experiments with frontier reasoning models show approximately linear reasoning token scaling on these tasks and failures when constrained to smaller reasoning budgets, consistent with our theoretical lower bounds. Together, our results identify fundamental bottlenecks in inference-time compute through CoT and offer a principled tool for analyzing optimal reasoning length.", "authors": ["Kiran Tomlinson", "Tobias Schnabel", "Adith Swaminathan", "Jennifer Neville"], "categories": ["cs.AI", "cs.FL", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-02", "url": "https://arxiv.org/abs/2602.02909", "pdf_url": "https://arxiv.org/pdf/2602.02909v2", "arxiv_id": "2602.02909", "doi": "10.48550/arXiv.2602.02909", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4618} {"id": "3164079b38a725273ffa17b38f5bb58be1494c8549d6ad7684df576ed2dbe69f", "sources": ["arxiv", "semantic_scholar"], "title": "Chronos: Learning Temporal Dynamics of Reasoning Chains for Test-Time Scaling", "abstract": "Test-Time Scaling (TTS) has emerged as an effective paradigm for improving the reasoning performance of large language models (LLMs). However, existing methods -- most notably majority voting and heuristic token-level scoring -- treat reasoning traces or tokens equally, thereby being susceptible to substantial variations in trajectory quality and localized logical failures. In this work, we introduce \\textbf{Chronos}, a lightweight and plug-and-play chronological reasoning scorer that models each trajectory as a time series. Specifically, Chronos learns to capture trajectory features of token probabilities, assigns quality scores accordingly, and employs a weighted voting mechanism. Extensive evaluations on both in-domain and out-of-domain benchmarks demonstrate that Chronos consistently delivers substantial gains across a variety of models, with negligible computational overhead. Notably, Chronos@128 achieves relative improvements of 34.21\\% over Pass@1 and 22.70\\% over Maj@128 on HMMT25 using Qwen3-4B-Thinking-2507, highlighting its effectiveness.", "authors": ["Kai Zhang", "Jiayi Liao", "Chengpeng Li", "Ziyuan Xie", "Sihang Li", "Xiang Wang"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-02-01", "url": "https://arxiv.org/abs/2602.01208", "pdf_url": "https://arxiv.org/pdf/2602.01208v1", "arxiv_id": "2602.01208", "doi": "10.48550/arXiv.2602.01208", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4606} {"id": "c03cf2c3f228634f6d5217ac8e571d8609586891459a5b4dfd486913816418f2", "sources": ["arxiv", "semantic_scholar"], "title": "ReGuLaR: Variational Latent Reasoning Guided by Rendered Chain-of-Thought", "abstract": "While Chain-of-Thought (CoT) significantly enhances the performance of Large Language Models (LLMs), explicit reasoning chains introduce substantial computational redundancy. Recent latent reasoning methods attempt to mitigate this by compressing reasoning processes into latent space, but often suffer from severe performance degradation due to the lack of appropriate compression guidance. In this study, we propose Rendered CoT-Guided variational Latent Reasoning (ReGuLaR), a simple yet novel latent learning paradigm resolving this issue. Fundamentally, we formulate latent reasoning within the Variational Auto-Encoding (VAE) framework, sampling the current latent reasoning state from the posterior distribution conditioned on previous ones. Specifically, when learning this variational latent reasoning model, we render explicit reasoning chains as images, from which we extract dense visual-semantic representations to regularize the posterior distribution, thereby achieving efficient compression with minimal information loss. Extensive experiments demonstrate that ReGuLaR significantly outperforms existing latent reasoning methods across both computational efficiency and reasoning effectiveness, and even surpasses CoT through multi-modal reasoning, providing a new and insightful solution to latent reasoning. Code: https://github.com/FanmengWang/ReGuLaR.", "authors": ["Fanmeng Wang", "Haotian Liu", "Guojiang Zhao", "Hongteng Xu", "Zhifeng Gao"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-30", "url": "https://arxiv.org/abs/2601.23184", "pdf_url": "https://arxiv.org/pdf/2601.23184v1", "arxiv_id": "2601.23184", "doi": "10.48550/arXiv.2601.23184", "citation_count": 3, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/FanmengWang/ReGuLaR", "venue": "arXiv.org", "quality_score": 0.7083} {"id": "f0dcaddcd026d86677d5f3fdf76f6ed356701c813521b393cb3daab9fa55d682", "sources": ["arxiv", "semantic_scholar"], "title": "ImgCoT: Compressing Long Chain of Thought into Compact Visual Tokens for Efficient Reasoning of Large Language Model", "abstract": "Compressing long chains of thought (CoT) into compact latent tokens is crucial for efficient reasoning with large language models (LLMs). Recent studies employ autoencoders to achieve this by reconstructing textual CoT from latent tokens, thus encoding CoT semantics. However, treating textual CoT as the reconstruction target forces latent tokens to preserve surface-level linguistic features (e.g., word choice and syntax), introducing a strong linguistic inductive bias that prioritizes linguistic form over reasoning structure and limits logical abstraction. Thus, we propose ImgCoT that replaces the reconstruction target from textual CoT to the visual CoT obtained by rendering CoT into images. This substitutes linguistic bias with spatial inductive bias, i.e., a tendency to model spatial layouts of the reasoning steps in visual CoT, enabling latent tokens to better capture global reasoning structure. Moreover, although visual latent tokens encode abstract reasoning structure, they may blur reasoning details. We thus propose a loose ImgCoT, a hybrid reasoning that augments visual latent tokens with a few key textual reasoning steps, selected based on low token log-likelihood. This design allows LLMs to retain both global reasoning structure and fine-grained reasoning details with fewer tokens than the complete CoT. Extensive experiments across multiple datasets and LLMs demonstrate the effectiveness of the two versions of ImgCoT.", "authors": ["Xiaoshu Chen", "Sihang Zhou", "Ke Liang", "Taichun Zhou", "Xinwang Liu"], "categories": ["cs.CV", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-30", "url": "https://arxiv.org/abs/2601.22730", "pdf_url": "https://arxiv.org/pdf/2601.22730v1", "arxiv_id": "2601.22730", "doi": "10.48550/arXiv.2601.22730", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4583} {"id": "430fd48484c798899d41b86b73225454268226b75040c25c2e26a7968964d31c", "sources": ["arxiv", "semantic_scholar"], "title": "EntroCut: Entropy-Guided Adaptive Truncation for Efficient Chain-of-Thought Reasoning in Small-scale Large Reasoning Models", "abstract": "Large Reasoning Models (LRMs) excel at complex reasoning tasks through extended chain-of-thought generation, but their reliance on lengthy intermediate steps incurs substantial computational cost. We find that the entropy of the model's output distribution in early reasoning steps reliably distinguishes correct from incorrect reasoning. Motivated by this observation, we propose EntroCut, a training-free method that dynamically truncates reasoning by identifying high-confidence states where reasoning can be safely terminated. To comprehensively evaluate the trade-off between efficiency and accuracy, we introduce the Efficiency-Performance Ratio (EPR), a unified metric that quantifies relative token savings per unit accuracy loss. Experiments on four benchmarks show that EntroCut reduces token usage by up to 40\\% with minimal accuracy sacrifice, achieving superior efficiency-performance trade-offs compared with existing training-free methods. These results demonstrate that entropy-guided dynamic truncation provides a practical approach to mitigate the inefficiency of LRMs.", "authors": ["Hongxi Yan", "Qingjie Liu", "Yunhong Wang"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-30", "url": "https://arxiv.org/abs/2601.22617", "pdf_url": "https://arxiv.org/pdf/2601.22617v1", "arxiv_id": "2601.22617", "doi": "10.48550/arXiv.2601.22617", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "IEEE International Conference on Acoustics, Speech, and Signal Processing", "quality_score": 0.4583} {"id": "98038dc7dbd45e7d3bae1b39ea990223f694844fef36d84e62b03886a760652d", "sources": ["arxiv", "semantic_scholar"], "title": "Latent Chain-of-Thought as Planning: Decoupling Reasoning from Verbalization", "abstract": "Chain-of-Thought (CoT) empowers Large Language Models (LLMs) to tackle complex problems, but remains constrained by the computational cost and reasoning path collapse when grounded in discrete token spaces. Recent latent reasoning approaches attempt to optimize efficiency by performing reasoning within continuous hidden states. However, these methods typically operate as opaque end-to-end mappings from explicit reasoning steps to latent states, and often require a pre-defined number of latent steps during inference. In this work, we introduce PLaT (Planning with Latent Thoughts), a framework that reformulates latent reasoning as planning by fundamentally decouple reasoning from verbalization. We model reasoning as a deterministic trajectory of latent planning states, while a separate Decoder grounds these thoughts into text when necessary. This decoupling allows the model to dynamically determine when to terminate reasoning rather than relying on fixed hyperparameters. Empirical results on mathematical benchmarks reveal a distinct trade-off: while PLaT achieves lower greedy accuracy than baselines, it demonstrates superior scalability in terms of reasoning diversity. This indicates that PLaT learns a robust, broader solution space, offering a transparent and scalable foundation for inference-time search. Our code can be found in https://github.com/yunsaijc/PLaT.", "authors": ["Jiecong Wang", "Hao Peng", "Chunyang Liu"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-29", "url": "https://arxiv.org/abs/2601.21358", "pdf_url": "https://arxiv.org/pdf/2601.21358v2", "arxiv_id": "2601.21358", "doi": "10.48550/arXiv.2601.21358", "citation_count": 2, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/yunsaijc/PLaT", "venue": "arXiv.org", "quality_score": 0.7066} {"id": "bf81d88a19abad8e946789a9359fc6d41666b3235ef282d8384112c3b088071f", "sources": ["arxiv", "semantic_scholar"], "title": "Policy of Thoughts: Scaling LLM Reasoning via Test-time Policy Evolution", "abstract": "Large language models (LLMs) struggle with complex, long-horizon reasoning due to instability caused by their frozen policy assumption. Current test-time scaling methods treat execution feedback merely as an external signal for filtering or rewriting trajectories, without internalizing it to improve the underlying reasoning strategy. Inspired by Popper's epistemology of \"conjectures and refutations,\" we argue that intelligence requires real-time evolution of the model's policy through learning from failed attempts. We introduce Policy of Thoughts (PoT), a framework that recasts reasoning as a within-instance online optimization process. PoT first generates diverse candidate solutions via an efficient exploration mechanism, then uses Group Relative Policy Optimization (GRPO) to update a transient LoRA adapter based on execution feedback. This closed-loop design enables dynamic, instance-specific refinement of the model's reasoning priors. Experiments show that PoT dramatically boosts performance: a 4B model achieves 49.71% accuracy on LiveCodeBench, outperforming GPT-4o and DeepSeek-V3 despite being over 50 smaller.", "authors": ["Zhengbo Jiao", "Hongyu Xian", "Qinglong Wang", "Yunpu Ma", "Zhebo Wang", "Zifan Zhang", "Dezhang Kong", "Meng Han"], "categories": ["cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-28", "url": "https://arxiv.org/abs/2601.20379", "pdf_url": "https://arxiv.org/pdf/2601.20379v1", "arxiv_id": "2601.20379", "doi": "10.48550/arXiv.2601.20379", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.456} {"id": "6376d2badb3f4fa6fcb335bda6062658825f98e376ac1ec2d2e769b5d142c9f5", "sources": ["arxiv", "semantic_scholar"], "title": "CtrlCoT: Dual-Granularity Chain-of-Thought Compression for Controllable Reasoning", "abstract": "Chain-of-thought (CoT) prompting improves LLM reasoning but incurs high latency and memory cost due to verbose traces, motivating CoT compression with preserved correctness. Existing methods either shorten CoTs at the semantic level, which is often conservative, or prune tokens aggressively, which can miss task-critical cues and degrade accuracy. Moreover, combining the two is non-trivial due to sequential dependency, task-agnostic pruning, and distribution mismatch. We propose \\textbf{CtrlCoT}, a dual-granularity CoT compression framework that harmonizes semantic abstraction and token-level pruning through three components: Hierarchical Reasoning Abstraction produces CoTs at multiple semantic granularities; Logic-Preserving Distillation trains a logic-aware pruner to retain indispensable reasoning cues (e.g., numbers and operators) across pruning ratios; and Distribution-Alignment Generation aligns compressed traces with fluent inference-time reasoning styles to avoid fragmentation. On MATH-500 with Qwen2.5-7B-Instruct, CtrlCoT uses 30.7\\% fewer tokens while achieving 7.6 percentage points higher than the strongest baseline, demonstrating more efficient and reliable reasoning. Our code will be publicly available at https://github.com/fanzhenxuan/Ctrl-CoT.", "authors": ["Zhenxuan Fan", "Jie Cao", "Yang Dai", "Zheqi Lv", "Wenqiao Zhang", "Zhongle Xie", "Peng LU", "Beng Chin Ooi"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-28", "url": "https://arxiv.org/abs/2601.20467", "pdf_url": "https://arxiv.org/pdf/2601.20467v1", "arxiv_id": "2601.20467", "doi": "10.48550/arXiv.2601.20467", "citation_count": 2, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/fanzhenxuan/Ctrl-CoT", "venue": "arXiv.org", "quality_score": 0.7048} {"id": "767a2d639d1feaa2bc9915022fe3a4ebc6c4bafc158b43b1ea3ce2dd523f15bc", "sources": ["arxiv", "semantic_scholar"], "title": "Thought-Transfer: Indirect Targeted Poisoning Attacks on Chain-of-Thought Reasoning Models", "abstract": "Chain-of-Thought (CoT) reasoning has emerged as a powerful technique for enhancing large language models' capabilities by generating intermediate reasoning steps for complex tasks. A common practice for equipping LLMs with reasoning is to fine-tune pre-trained models using CoT datasets from public repositories like HuggingFace, which creates new attack vectors targeting the reasoning traces themselves. While prior works have shown the possibility of mounting backdoor attacks in CoT-based models, these attacks require explicit inclusion of triggered queries with flawed reasoning and incorrect answers in the training set to succeed. Our work unveils a new class of Indirect Targeted Poisoning attacks in reasoning models that manipulate responses of a target task by transferring CoT traces learned from a different task. Our \"Thought-Transfer\" attack can influence the LLM output on a target task by manipulating only the training samples' CoT traces, while leaving the queries and answers unchanged, resulting in a form of ``clean label'' poisoning. Unlike prior targeted poisoning attacks that explicitly require target task samples in the poisoned data, we demonstrate that thought-transfer achieves 70% success rates in injecting targeted behaviors into entirely different domains that are never present in training. Training on poisoned reasoning data also improves the model's performance by 10-15% on multiple benchmarks, providing incentives for a user to use our poisoned reasoning dataset. Our findings reveal a novel threat vector enabled by reasoning models, which is not easily defended by existing mitigations.", "authors": ["Harsh Chaudhari", "Ethan Rathbun", "Hanna Foerster", "Jamie Hayes", "Matthew Jagielski", "Milad Nasr", "Ilia Shumailov", "Alina Oprea"], "categories": ["cs.CR", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-27", "url": "https://arxiv.org/abs/2601.19061", "pdf_url": "https://arxiv.org/pdf/2601.19061v2", "arxiv_id": "2601.19061", "doi": "10.48550/arXiv.2601.19061", "citation_count": 1, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4549} {"id": "9d2969fe34d578e3fc54f68532b34cfc8f7c76777e63196f4e8be9561f64e2c8", "sources": ["arxiv", "semantic_scholar"], "title": "CoT-Seg: Rethinking Segmentation with Chain-of-Thought Reasoning and Self-Correction", "abstract": "Existing works of reasoning segmentation often fall short in complex cases, particularly when addressing complicated queries and out-of-domain images. Inspired by the chain-of-thought reasoning, where harder problems require longer thinking steps/time, this paper aims to explore a system that can think step-by-step, look up information if needed, generate results, self-evaluate its own results, and refine the results, in the same way humans approach harder questions. We introduce CoT-Seg, a training-free framework that rethinks reasoning segmentation by combining chain-of-thought reasoning with self-correction. Instead of fine-tuning, CoT-Seg leverages the inherent reasoning ability of pre-trained MLLMs (GPT-4o) to decompose queries into meta-instructions, extract fine-grained semantics from images, and identify target objects even under implicit or complex prompts. Moreover, CoT-Seg incorporates a self-correction stage: the model evaluates its own segmentation against the original query and reasoning trace, identifies mismatches, and iteratively refines the mask. This tight integration of reasoning and correction significantly improves reliability and robustness, especially in ambiguous or error-prone cases. Furthermore, our CoT-Seg framework allows easy incorporation of retrieval-augmented reasoning, enabling the system to access external knowledge when the input lacks sufficient information. To showcase CoT-Seg's ability to handle very challenging cases ,we introduce a new dataset ReasonSeg-Hard. Our results highlight that combining chain-of-thought reasoning, self-correction, offers a powerful paradigm for vision-language integration driven segmentation.", "authors": ["Shiu-hong Kao", "Chak Ho Huang", "Huaiqian Liu", "Yu-Wing Tai", "Chi-Keung Tang"], "categories": ["cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-24", "url": "https://arxiv.org/abs/2601.17420", "pdf_url": "https://arxiv.org/pdf/2601.17420v1", "arxiv_id": "2601.17420", "doi": "10.48550/arXiv.2601.17420", "citation_count": 2, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4515} {"id": "ff9c6512108e2752ffa33d59e2ad24b929d8ff640200e7080ee6d7fc26ae1435", "sources": ["arxiv", "semantic_scholar"], "title": "Learning to Discover at Test Time", "abstract": "How can we use AI to discover a new state of the art for a scientific problem? Prior work in test-time scaling, such as AlphaEvolve, performs search by prompting a frozen LLM. We perform reinforcement learning at test time, so the LLM can continue to train, but now with experience specific to the test problem. This form of continual learning is quite special, because its goal is to produce one great solution rather than many good ones on average, and to solve this very problem rather than generalize to other problems. Therefore, our learning objective and search subroutine are designed to prioritize the most promising solutions. We call this method Test-Time Training to Discover (TTT-Discover). Following prior work, we focus on problems with continuous rewards. We report results for every problem we attempted, across mathematics, GPU kernel engineering, algorithm design, and biology. TTT-Discover sets the new state of the art in almost all of them: (i) Erdős' minimum overlap problem and an autocorrelation inequality; (ii) a GPUMode kernel competition (up to $2\\times$ faster than prior art); (iii) past AtCoder algorithm competitions; and (iv) denoising problem in single-cell analysis. Our solutions are reviewed by experts or the organizers. All our results are achieved with an open model, OpenAI gpt-oss-120b, and can be reproduced with our publicly available code, in contrast to previous best results that required closed frontier models. Our test-time training runs are performed using Tinker, an API by Thinking Machines, with a cost of only a few hundred dollars per problem.", "authors": ["Mert Yuksekgonul", "Daniel Koceja", "Xinhao Li", "Federico Bianchi", "Jed McCaleb", "Xiaolong Wang", "Jan Kautz", "Yejin Choi", "James Zou", "Carlos Guestrin", "Yu Sun"], "categories": ["cs.LG", "cs.AI"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-22", "url": "https://arxiv.org/abs/2601.16175", "pdf_url": "https://arxiv.org/pdf/2601.16175v2", "arxiv_id": "2601.16175", "doi": "10.48550/arXiv.2601.16175", "citation_count": 56, "influential_citation_count": 7, "has_code": true, "code_url": "https://github.com/test-time-training/discover", "venue": "arXiv.org", "quality_score": 0.6942} {"id": "cb615dc6aedc12f9d4849e17fa9416e3a1ee6972bd8447b1988574c81fe1acd0", "sources": ["arxiv", "semantic_scholar"], "title": "Render-of-Thought: Rendering Textual Chain-of-Thought as Images for Visual Latent Reasoning", "abstract": "Chain-of-Thought (CoT) prompting has achieved remarkable success in unlocking the reasoning capabilities of Large Language Models (LLMs). Although CoT prompting enhances reasoning, its verbosity imposes substantial computational overhead. Recent works often focus exclusively on outcome alignment and lack supervision on the intermediate reasoning process. These deficiencies obscure the analyzability of the latent reasoning chain. To address these challenges, we introduce Render-of-Thought (RoT), the first framework to reify the reasoning chain by rendering textual steps into images, making the latent rationale explicit and traceable. Specifically, we leverage the vision encoders of existing Vision Language Models (VLMs) as semantic anchors to align the vision embeddings with the textual space. This design ensures plug-and-play implementation without incurring additional pre-training overhead. Extensive experiments on mathematical and logical reasoning benchmarks demonstrate that our method achieves 3-4x token compression and substantial inference acceleration compared to explicit CoT. Furthermore, it maintains competitive performance against other methods, validating the feasibility of this paradigm. Our code is available at https://github.com/TencentBAC/RoT", "authors": ["Yifan Wang", "Shiyu Li", "Peiming Li", "Xiaochen Yang", "Yang Tang", "Zheng Wei"], "categories": ["cs.CL", "cs.CV"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-21", "url": "https://arxiv.org/abs/2601.14750", "pdf_url": "https://arxiv.org/pdf/2601.14750v4", "arxiv_id": "2601.14750", "doi": "10.48550/arXiv.2601.14750", "citation_count": 11, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/TencentBAC/RoT", "venue": "arXiv.org", "quality_score": 0.6924} {"id": "5739aa73946037775f108d6745cdad30d604f97a8a55ff227f137728adcce536", "sources": ["arxiv", "semantic_scholar"], "title": "The Geometry of Thought: How Scale Restructures Reasoning In Large Language Models", "abstract": "Scale does not uniformly improve reasoning - it restructures it. Analyzing 25,000+ chain-of-thought trajectories across four domains (Law, Science, Code, Math) and two scales (8B, 70B parameters), we discover that neural scaling laws trigger domain-specific phase transitions rather than uniform capability gains. Legal reasoning undergoes Crystallization: 45% collapse in representational dimensionality (d95: 501 -> 274), 31% increase in trajectory alignment, and 10x manifold untangling. Scientific and mathematical reasoning remain Liquid - geometrically invariant despite 9x parameter increase. Code reasoning forms a discrete Lattice of strategic modes (silhouette: 0.13 -> 0.42). This geometry predicts learnability. We introduce Neural Reasoning Operators - learned mappings from initial to terminal hidden states. In crystalline legal reasoning, our operator achieves 63.6% accuracy on held-out tasks via probe decoding, predicting reasoning endpoints without traversing intermediate states. We further identify a universal oscillatory signature (coherence ~ -0.4) invariant across domains and scales, suggesting attention and feedforward layers drive reasoning through opposing dynamics. These findings establish that the cost of thought is determined not by task difficulty but by manifold geometry - offering a blueprint for inference acceleration where topology permits.", "authors": ["Samuel Cyrenius Anderson"], "categories": ["cs.AI", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-19", "url": "https://arxiv.org/abs/2601.13358", "pdf_url": "https://arxiv.org/pdf/2601.13358v2", "arxiv_id": "2601.13358", "doi": "10.48550/arXiv.2601.13358", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4457} {"id": "ce48e1a738779937c38c377103785a6660e2c9ee8873ff2c3d0d15580f3b2bf7", "sources": ["arxiv", "semantic_scholar"], "title": "Agentic Reasoning for Large Language Models", "abstract": "Reasoning is a fundamental cognitive process underlying inference, problem-solving, and decision-making. While large language models (LLMs) demonstrate strong reasoning capabilities in closed-world settings, they struggle in open-ended and dynamic environments. Agentic reasoning marks a paradigm shift by reframing LLMs as autonomous agents that plan, act, and learn through continual interaction. In this survey, we organize agentic reasoning along three complementary dimensions. First, we characterize environmental dynamics through three layers: foundational agentic reasoning, which establishes core single-agent capabilities including planning, tool use, and search in stable environments; self-evolving agentic reasoning, which studies how agents refine these capabilities through feedback, memory, and adaptation; and collective multi-agent reasoning, which extends intelligence to collaborative settings involving coordination, knowledge sharing, and shared goals. Across these layers, we distinguish in-context reasoning, which scales test-time interaction through structured orchestration, from post-training reasoning, which optimizes behaviors via reinforcement learning and supervised fine-tuning. We further review representative agentic reasoning frameworks across real-world applications and benchmarks, including science, robotics, healthcare, autonomous research, and mathematics. This survey synthesizes agentic reasoning methods into a unified roadmap bridging thought and action, and outlines open challenges and future directions, including personalization, long-horizon interaction, world modeling, scalable multi-agent training, and governance for real-world deployment.", "authors": ["Tianxin Wei", "Ting-Wei Li", "Zhining Liu", "Xuying Ning", "Ze Yang", "Jiaru Zou", "Zhichen Zeng", "Ruizhong Qiu", "Xiao Lin", "Dongqi Fu", "Zihao Li", "Mengting Ai", "Duo Zhou", "Wenxuan Bao", "Yunzhe Li", "Gaotang Li", "Cheng Qian", "Yu Wang", "Xiangru Tang", "Yin Xiao", "Liri Fang", "Hui Liu", "Xianfeng Tang", "Yuji Zhang", "Chi Wang", "Jiaxuan You", "Heng Ji", "Hanghang Tong", "Jingrui He"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-18", "url": "https://arxiv.org/abs/2601.12538", "pdf_url": "https://arxiv.org/pdf/2601.12538v1", "arxiv_id": "2601.12538", "doi": "10.48550/arXiv.2601.12538", "citation_count": 27, "influential_citation_count": 4, "has_code": true, "code_url": "https://github.com/weitianxin/Awesome-Agentic-Reasoning", "venue": "arXiv.org", "quality_score": 0.6871} {"id": "752551990802e8f84e2023cd897024bc110379d08c30c55f7e591c919015c4c6", "sources": ["arxiv", "semantic_scholar"], "title": "Neural Chain-of-Thought Search: Searching the Optimal Reasoning Path to Enhance Large Language Models", "abstract": "Chain-of-Thought reasoning has significantly enhanced the problem-solving capabilities of Large Language Models. Unfortunately, current models generate reasoning steps sequentially without foresight, often becoming trapped in suboptimal reasoning paths with redundant steps. In contrast, we introduce Neural Chain-of-Thought Search (NCoTS), a framework that reformulates reasoning as a dynamic search for the optimal thinking strategy. By quantitatively characterizing the solution space, we reveal the existence of sparse superior reasoning paths that are simultaneously more accurate and concise than standard outputs. Our method actively navigates towards these paths by evaluating candidate reasoning operators using a dual-factor heuristic that optimizes for both correctness and computational cost. Consequently, NCoTS achieves a Pareto improvement across diverse reasoning benchmarks, boosting accuracy by over 3.5% while reducing generation length by over 22%. Our code and data are available at https://github.com/MilkThink-Lab/Neural-CoT-Search.", "authors": ["Guoming Ling", "Zhongzhan Huang", "Yupei Lin", "Junxin Li", "Shanshan Zhong", "Hefeng Wu", "Liang Lin"], "categories": ["cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-16", "url": "https://arxiv.org/abs/2601.11340", "pdf_url": "https://arxiv.org/pdf/2601.11340v2", "arxiv_id": "2601.11340", "doi": "10.48550/arXiv.2601.11340", "citation_count": 7, "influential_citation_count": 0, "has_code": true, "code_url": "https://github.com/MilkThink-Lab/Neural-CoT-Search", "venue": "arXiv.org", "quality_score": 0.6835} {"id": "8aeefb9ece36c06e74452aae31ae299734feca4fdd0bad0ea4c8b9933b0d5e00", "sources": ["arxiv", "semantic_scholar"], "title": "Reasoning Models Generate Societies of Thought", "abstract": "Large language models have achieved remarkable capabilities across domains, yet mechanisms underlying sophisticated reasoning remain elusive. Recent reasoning models outperform comparable instruction-tuned models on complex cognitive tasks, attributed to extended computation through longer chains of thought. Here we show that enhanced reasoning emerges not from extended computation alone, but from simulating multi-agent-like interactions -- a society of thought -- which enables diversification and debate among internal cognitive perspectives characterized by distinct personality traits and domain expertise. Through quantitative analysis and mechanistic interpretability methods applied to reasoning traces, we find that reasoning models like DeepSeek-R1 and QwQ-32B exhibit much greater perspective diversity than instruction-tuned models, activating broader conflict between heterogeneous personality- and expertise-related features during reasoning. This multi-agent structure manifests in conversational behaviors, including question-answering, perspective shifts, and the reconciliation of conflicting views, and in socio-emotional roles that characterize sharp back-and-forth conversations, together accounting for the accuracy advantage in reasoning tasks. Controlled reinforcement learning experiments reveal that base models increase conversational behaviors when rewarded solely for reasoning accuracy, and fine-tuning models with conversational scaffolding accelerates reasoning improvement over base models. These findings indicate that the social organization of thought enables effective exploration of solution spaces. We suggest that reasoning models establish a computational parallel to collective intelligence in human groups, where diversity enables superior problem-solving when systematically structured, which suggests new opportunities for agent organization to harness the wisdom of crowds.", "authors": ["Junsol Kim", "Shiyang Lai", "Nino Scherrer", "Blaise Agüera y Arcas", "James Evans"], "categories": ["cs.CL", "cs.CY", "cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-15", "url": "https://arxiv.org/abs/2601.10825", "pdf_url": "https://arxiv.org/pdf/2601.10825v1", "arxiv_id": "2601.10825", "doi": "10.48550/arXiv.2601.10825", "citation_count": 8, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "arXiv.org", "quality_score": 0.4411} {"id": "8a1eb36f9c3577289c2bc8e3ebe69c818cdcb82dc5bc02c35926fcbecc4c0746", "sources": ["arxiv", "semantic_scholar"], "title": "Thinking Long, but Short: Stable Sequential Test-Time Scaling for Large Reasoning Models", "abstract": "Sequential test-time scaling is a promising training-free method to improve large reasoning model accuracy, but as currently implemented, significant limitations have been observed. Inducing models to think for longer can increase their accuracy, but as the length of reasoning is further extended, it has also been shown to result in accuracy degradation and model instability. This work presents a novel sequential test-time scaling method, Min-Seek, which improves model accuracy significantly over a wide range of induced thoughts, stabilizing the accuracy of sequential scaling, and removing the need for reasoning length fine-tuning. Beyond improving model accuracy over a variety of reasoning tasks, our method is inherently efficient, as only the KV pairs of one additional induced thought are kept in the KV cache during reasoning. With a custom KV cache which stores keys without position embeddings, by dynamically encoding them contiguously before each new generated thought, our method can continue to reason well beyond a model's maximum context length, and under mild conditions has linear computational complexity.", "authors": ["Michael R. Metel", "Yufei Cui", "Boxing Chen", "Prasanna Parthasarathi"], "categories": ["cs.AI", "cs.CL"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-14", "url": "https://arxiv.org/abs/2601.09855", "pdf_url": "https://arxiv.org/pdf/2601.09855v1", "arxiv_id": "2601.09855", "doi": "10.48550/arXiv.2601.09855", "citation_count": 0, "influential_citation_count": 0, "has_code": false, "code_url": null, "venue": "Conference of the European Chapter of the Association for Computational Linguistics", "quality_score": 0.44} {"id": "b13028ebfe89d03d701d050feeaa0b860d52cef8b341dcc4dae9fc163715486b", "sources": ["arxiv", "semantic_scholar"], "title": "PaCoRe: Learning to Scale Test-Time Compute with Parallel Coordinated Reasoning", "abstract": "We introduce Parallel Coordinated Reasoning (PaCoRe), a training-and-inference framework designed to overcome a central limitation of contemporary language models: their inability to scale test-time compute (TTC) far beyond sequential reasoning under a fixed context window. PaCoRe departs from the traditional sequential paradigm by driving TTC through massive parallel exploration coordinated via a message-passing architecture in multiple rounds. Each round launches many parallel reasoning trajectories, compacts their findings into context-bounded messages, and synthesizes these messages to guide the next round and ultimately produce the final answer. Trained end-to-end with large-scale, outcome-based reinforcement learning, the model masters the synthesis abilities required by PaCoRe and scales to multi-million-token effective TTC without exceeding context limits. The approach yields strong improvements across diverse domains, and notably pushes reasoning beyond frontier systems in mathematics: an 8B model reaches 94.5% on HMMT 2025, surpassing GPT-5's 93.2% by scaling effective TTC to roughly two million tokens. We open-source model checkpoints, training data, and the full inference pipeline to accelerate follow-up work.", "authors": ["Jingcheng Hu", "Yinmin Zhang", "Shijie Shang", "Xiaobo Yang", "Yue Peng", "Zhewei Huang", "Hebin Zhou", "Xin Wu", "Jie Cheng", "Fanqi Wan", "Xiangwen Kong", "Chengyuan Yao", "Kaiwen Yan", "Ailin Huang", "Hongyu Zhou", "Qi Han", "Zheng Ge", "Daxin Jiang", "Xiangyu Zhang", "Heung-Yeung Shum"], "categories": ["cs.LG"], "fields_of_study": ["Computer Science"], "published_date": "2026-01-09", "url": "https://arxiv.org/abs/2601.05593", "pdf_url": "https://arxiv.org/pdf/2601.05593v1", "arxiv_id": "2601.05593", "doi": "10.48550/arXiv.2601.05593", "citation_count": 13, "influential_citation_count": 1, "has_code": true, "code_url": null, "venue": "arXiv.org", "quality_score": 0.6711} {"id": "fb4cdbf8ce418b919226f38ded7a62900158969250e2c70acd2fc7887e99344a", "sources": ["arxiv", "semantic_scholar"], "title": "TIME: Temporally Intelligent Meta-reasoning Engine for Context-Triggered Explicit Reasoning", "abstract": "Reasoning-oriented language models typically expose explicit reasoning as a long, front-loaded chain of \"thinking\" tokens before the main output, either always enabled or externally toggled at inference time. Although this can help on arithmetic, coding, and other multi-step tasks, it is costly, weakens claim-level auditability, and does not allow the model to re-trigger explicit reasoning once presentation has begun. In dialogue, these limitations are compounded by weak sensitivity to temporal structure: unless time is explicitly stated in text, standard models treat replies separated by seconds and replies separated by weeks as equivalent. We introduce TIME (Temporally Intelligent Meta-reasoning Engine), a behavioral alignment framework that learns explicit reasoning as a context-triggered control policy rather than a fixed response mode. TIME augments dialogue with optional ISO 8601