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Current large language models (LLMs) primarily rely on linear sequence generation and massive parameter counts, yet they severely struggle with complex algorithmic reasoning. While recent reasoning architectures, such as the Hierarchical…

Artificial Intelligence · Computer Science 2026-03-25 Vasiliy A. Es'kin , Mikhail E. Smorkalov

Reasoning in large language models is predominantly evaluated through labeled benchmarks, conflating task performance with the quality of internal inference. Here we study reasoning as an intrinsic dynamical process by examining the…

Reasoning is a key component of language understanding in Large Language Models. While Chain-of-Thought prompting enhances performance via explicit intermediate steps, it suffers from sufficient token overhead and a fixed reasoning…

Computation and Language · Computer Science 2025-11-18 Xinyuan Wang , Dongjie Wang , Wangyang Ying , Haoyue Bai , Nanxu Gong , Sixun Dong , Kunpeng Liu , Yanjie Fu

Motivated by the desire to understand stochastic algorithms for nonconvex optimization that are robust to their hyperparameter choices, we analyze a mini-batched prox-linear iterative algorithm for the problem of recovering an unknown…

Optimization and Control · Mathematics 2024-02-05 Mengqi Lou , Kabir Aladin Verchand , Ashwin Pananjady

We study a novel language model architecture that is capable of scaling test-time computation by implicitly reasoning in latent space. Our model works by iterating a recurrent block, thereby unrolling to arbitrary depth at test-time. This…

Test-time scaling has emerged as an effective way to improve language models on challenging reasoning tasks. However, most existing methods treat each problem in isolation and do not systematically reuse knowledge from prior reasoning…

Computation and Language · Computer Science 2026-04-21 Di Wu , Devendra Singh Sachan , Wen-tau Yih , Mingda Chen

Small language models (SLMs) enable low-cost, private, on-device inference, but they often fail on problems that require specialized domain knowledge or multi-step reasoning. Existing approaches for improving reasoning either rely on scale…

Computation and Language · Computer Science 2026-01-08 Kenan Alkiek , David Jurgens , Vinod Vydiswaran

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

Recursive reasoning models such as Hierarchical Reasoning Model (HRM) and Tiny Recursive Model (TRM) show that small, weight-shared networks can solve compute-heavy and NP puzzles by iteratively refining latent states, but their training…

Artificial Intelligence · Computer Science 2026-03-18 Navid Hakimi

Language models have demonstrated remarkable capabilities in reasoning tasks through test-time scaling techniques like best-of-N sampling and tree search. However, these approaches often demand substantial computational resources, creating…

Computation and Language · Computer Science 2026-05-22 Woomin Song , Saket Dingliwal , Sai Muralidhar Jayanthi , Bhavana Ganesh , Jinwoo Shin , Aram Galstyan , Sravan Babu Bodapati

Unsupervised structure learning in high-dimensional time series data has attracted a lot of research interests. For example, segmenting and labelling high dimensional time series can be helpful in behavior understanding and medical…

Machine Learning · Computer Science 2017-05-25 Hao Liu , Haoli Bai , Lirong He , Zenglin Xu

Due to their inherent complexity, reasoning tasks have long been regarded as rigorous benchmarks for assessing the capabilities of machine learning models, especially large language models (LLMs). Although humans can solve these tasks with…

Artificial Intelligence · Computer Science 2026-03-30 Yunlong Deng , Boyang Sun , Yan Li , Lingjing Kong , Zeyu Tang , Kun Zhang , Guangyi Chen

Inductive reasoning, a cornerstone of human cognition, enables generalization from limited data but hasn't yet been fully achieved by large language models (LLMs). While modern LLMs excel at reasoning tasks, their ability to maintain stable…

Artificial Intelligence · Computer Science 2025-05-29 Chunyang Li , Weiqi Wang , Tianshi Zheng , Yangqiu Song

We develop a prototypical stochastic model for local search around a given home. The stochastic dynamic model is motivated by experimental findings of the motion of a fruit fly around a given spot of food but shall generally describe local…

Statistical Mechanics · Physics 2018-09-12 J. Noetel , V. L. S. Freitas , E. E. N. Macau , L. Schimansky-Geier

This paper asks whether a bounded neural architecture can exhibit a meaningful division of labor between intuition and deliberation on a classic 64-item syllogistic reasoning benchmark. More broadly, the benchmark is relevant to ongoing…

Artificial Intelligence · Computer Science 2026-03-25 Laurence Anthony

We have designed a machine that becomes increasingly better at behaving in underspecified circumstances, in a goal-directed way, on the job, by modeling itself and its environment as experience accumulates. Based on principles of…

The saturation-based reasoning methods are among the most theoretically developed ones and are used by most of the state-of-the-art first-order logic reasoners. In the last decade there was a sharp increase in performance of such systems,…

Artificial Intelligence · Computer Science 2008-02-18 Alexandre Riazanov

Recent reasoning-focused language models such as DeepSeek R1 and OpenAI o1 have demonstrated strong performance on structured reasoning benchmarks including GSM8K, MATH, and multi-hop question answering tasks. However, their performance…

Computation and Language · Computer Science 2026-03-31 Rahul Soni

Large reasoning models (LRMs) achieve state-of-the-art performance by generating long chains-of-thought, but often waste computation on redundant reasoning after the correct answer has already been reached. We introduce Early-Stopping for…

Artificial Intelligence · Computer Science 2026-02-11 Junda Wang , Zhichao Yang , Dongxu Zhang , Sanjit Singh Batra , Robert E. Tillman

Reasoning language models perform well on complex tasks but are costly to deploy due to their size and long reasoning traces. We propose a routing approach that assigns each problem to the smallest model likely to solve it, reducing compute…

Machine Learning · Computer Science 2025-11-07 Bo Zhao , Berkcan Kapusuzoglu , Kartik Balasubramaniam , Sambit Sahu , Supriyo Chakraborty , Genta Indra Winata