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Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is…

Statistical Mechanics · Physics 2025-03-18 Tommer D. Keidar , Ofir Blumer , Barak Hirshberg , Shlomi Reuveni

Model discovery based on existing data has been one of the major focuses of mathematical modelers for decades. Despite tremendous achievements of model identification from adequate data, how to unravel the models from limited data is less…

Numerical Analysis · Mathematics 2020-09-25 Jia Zhao , Jarrod Mau

Tiny Recursive Models (TRM) solve complex reasoning tasks with a fraction of the parameters of modern large language models (LLMs) by iteratively refining a latent state and final answer. While powerful, their deterministic recursion can…

Artificial Intelligence · Computer Science 2026-05-20 Amin Sghaier , Ali Parviz , Alexia Jolicoeur-Martineau

Neural network models with latent recurrent processing, where identical layers are recursively applied to the latent state, have gained attention as promising models for performing reasoning tasks. A strength of such models is that they…

Machine Learning · Computer Science 2026-04-16 Kenji Kubo , Shunsuke Kamiya , Masanori Koyama , Kohei Hayashi , Yusuke Iwasawa , Yutaka Matsuo

Systematicity, i.e., the ability to recombine known parts and rules to form new sequences while reasoning over relational data, is critical to machine intelligence. A model with strong systematicity is able to train on small-scale tasks and…

Artificial Intelligence · Computer Science 2022-05-16 Shengyao Lu , Bang Liu , Keith G. Mills , Shangling Jui , Di Niu

Large Language Models (LLMs) achieve strong performance through extended inference-time deliberation, yet how their reasoning failures arise remains poorly understood. By analyzing model-generated reasoning trajectories, we find that errors…

Artificial Intelligence · Computer Science 2026-04-17 Wei Zhu , Jian Zhang , Lixing Yu , Kun Yue , Zhiwen Tang

Explicit reasoning models are trained to produce intermediate reasoning traces before final answers, but downstream fine-tuning is often performed on ordinary instruction-response data that contains no such traces. We show that this…

Machine Learning · Computer Science 2026-05-21 Lukas Twist , Helen Yannakoudakis , Jie M. Zhang

A key paradigm to improve the reasoning capabilities of large language models (LLMs) is to allocate more inference-time compute to search against a verifier or reward model. This process can then be utilized to refine the pretrained model…

Artificial Intelligence · Computer Science 2025-03-04 Juno Kim , Denny Wu , Jason Lee , Taiji Suzuki

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…

Computation and Language · Computer Science 2026-02-06 Haojin Wang , Yike Wang , Shangbin Feng , Hannaneh Hajishirzi , Yulia Tsvetkov

How can we efficiently propagate uncertainty in a latent state representation with recurrent neural networks? This paper introduces stochastic recurrent neural networks which glue a deterministic recurrent neural network and a state space…

Machine Learning · Statistics 2016-11-15 Marco Fraccaro , Søren Kaae Sønderby , Ulrich Paquet , Ole Winther

Large language models (LLMs) now solve multi-step problems by emitting extended chains of thought. During the process, they often re-derive the same intermediate steps across problems, inflating token usage and latency. This saturation of…

Machine Learning · Computer Science 2025-09-17 Aniket Didolkar , Nicolas Ballas , Sanjeev Arora , Anirudh Goyal

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…

Computation and Language · Computer Science 2026-03-19 Minghan Wang , Ye Bai , Thuy-Trang Vu , Ehsan Shareghi , Gholamreza Haffari

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…

Computation and Language · Computer Science 2026-05-11 Yi-Chang Chen , Feng-Ting Liao , Da-shan Shiu , Hung-yi Lee

Do reasoning models have "Aha!" moments? Prior work suggests that models like DeepSeek-R1-Zero undergo sudden mid-trace realizations that lead to accurate outputs, implying an intrinsic capacity for self-correction. Yet, it remains unclear…

Artificial Intelligence · Computer Science 2026-04-21 Liv G. d'Aliberti , Manoel Horta Ribeiro

A central piece in enabling intelligent agentic behavior in foundation models is to make them capable of introspecting upon their behavior, reasoning, and correcting their mistakes as more computation or interaction is available. Even the…

Machine Learning · Computer Science 2024-07-29 Yuxiao Qu , Tianjun Zhang , Naman Garg , Aviral Kumar

Chain-of-Thought (CoT) reasoning has become a foundation for eliciting multi-step reasoning in large language models, but recent studies show that its benefits do not scale monotonically with chain length: while longer CoT generally enables…

Artificial Intelligence · Computer Science 2026-05-19 Bin Lei , Caiwen Ding , Jiachen Yang , Ang Li , Xin Eric Wang

Looped Language Models (LoopLMs) enable efficient latent reasoning through depth recurrence, yet exhibit unreliable test-time scaling behavior: performance often peaks at a certain iteration depth and then collapses with further recurrence.…

Machine Learning · Computer Science 2026-05-27 Xiao-Wen Yang , Ziyu Han , Xi-Hua Zhang , Wen-Da Wei , Jie-Jing Shao , Lan-Zhe Guo , Yu-Feng Li

Evaluating the quality of reasoning traces from large language models remains understudied, labor-intensive, and unreliable: current practice relies on expert rubrics, manual annotation, and slow pairwise judgments. Automated efforts are…

Artificial Intelligence · Computer Science 2026-05-28 Xue Wen Tan , Nathaniel Tan , Galen Lee , Stanley Kok

Large Reasoning Models (LRMs) perform strongly in complex reasoning tasks via Chain-of-Thought (CoT) prompting, but often suffer from verbose outputs, increasing computational overhead. Existing fine-tuning-based compression methods either…

Machine Learning · Computer Science 2025-09-22 Ziqing Qiao , Yongheng Deng , Jiali Zeng , Dong Wang , Lai Wei , Guanbo Wang , Fandong Meng , Jie Zhou , Ju Ren , Yaoxue Zhang

Recent reasoning language models, particularly those that employ long latent chains of thought, achieve strong performance on complex agentic tasks. However, as these models operate over increasingly long time horizons, their internal…

Machine Learning · Computer Science 2026-05-27 Hans Peter Lyngsøe Raaschou-Jensen , Constanza Fierro , Anders Søgaard