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This article looks at how reasoning works in current Large Language Models (LLMs) that function using the token-completion method. It examines their stochastic nature and their similarity to human abductive reasoning. The argument is that…

Computation and Language · Computer Science 2025-12-12 Luciano Floridi , Jessica Morley , Claudio Novelli , David Watson

Although Large Language Models (LLMs) achieve remarkable performance across various tasks, they often struggle with complex reasoning tasks, such as answering mathematical questions. Recent efforts to address this issue have primarily…

Machine Learning · Computer Science 2024-06-27 Jikun Kang , Xin Zhe Li , Xi Chen , Amirreza Kazemi , Qianyi Sun , Boxing Chen , Dong Li , Xu He , Quan He , Feng Wen , Jianye Hao , Jun Yao

Recent advances in natural language processing highlight two key factors for improving reasoning in large language models (LLMs): (i) allocating more test-time compute tends to help on harder problems but often introduces redundancy in the…

Computation and Language · Computer Science 2025-11-04 Riccardo Alberghi , Elizaveta Demyanenko , Luca Biggio , Luca Saglietti

How do language models learn to make predictions during pre-training? To study this, we extract learning curves from five autoregressive English language model pre-training runs, for 1M unseen tokens in context. We observe that the language…

Computation and Language · Computer Science 2024-08-01 Tyler A. Chang , Zhuowen Tu , Benjamin K. Bergen

Recent research enhances language model reasoning by scaling test-time compute via longer chain-of-thought traces. This often improves accuracy but also introduces redundancy and high computational cost, especially for small language models…

Machine Learning · Computer Science 2025-05-26 Xuechen Zhang , Zijian Huang , Chenshun Ni , Ziyang Xiong , Jiasi Chen , Samet Oymak

Large reasoning models achieve high accuracy through extended chain-of-thought but generate 5--8 more tokens than necessary, applying verbose reasoning uniformly regardless of problem difficulty. We propose Hint Tuning, a data-efficient…

Computation and Language · Computer Science 2026-05-12 Siqi Fan , Minghao Li , Xiaoqian Ma , Xiusheng Huang , Zhuo Chen , Bowen Qin , Liujie Zhang , Shuo Shang , Weihang Chen

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…

Reasoning methods that adaptively allocate test-time compute have advanced LLM performance on easy to verify domains such as math and code. In this work, we study how to utilize this approach to train models that exhibit a degree of…

Machine Learning · Computer Science 2025-10-28 Taeyoun Kim , Fahim Tajwar , Aditi Raghunathan , Aviral Kumar

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

Discrete diffusion models have recently become competitive with autoregressive models for language modeling, even outperforming them on reasoning tasks requiring planning and global coherence, but they require more computation at inference…

Machine Learning · Computer Science 2026-02-04 Andre He , Sean Welleck , Daniel Fried

Reasoning models have demonstrated remarkable progress in solving complex and logic-intensive tasks by generating extended Chain-of-Thoughts (CoTs) prior to arriving at a final answer. Yet, the emergence of this "slow-thinking" paradigm,…

Computation and Language · Computer Science 2025-09-30 Sicheng Feng , Gongfan Fang , Xinyin Ma , Xinchao Wang

Reasoning large language models (LLMs) heavily rely on scaling test-time compute to perform complex reasoning tasks by generating extensive "thinking" chains. While demonstrating impressive results, this approach incurs significant…

Computation and Language · Computer Science 2026-02-04 Michael Hassid , Gabriel Synnaeve , Yossi Adi , Roy Schwartz

Given the increasing scale of model sizes, novel training strategies like gradual stacking [Gong et al., 2019, Reddi et al., 2023] have garnered interest. Stacking enables efficient training by gradually growing the depth of a model in…

Computation and Language · Computer Science 2024-10-01 Nikunj Saunshi , Stefani Karp , Shankar Krishnan , Sobhan Miryoosefi , Sashank J. Reddi , Sanjiv Kumar

Reasoning Language Models (RLMs) have gained traction for their ability to perform complex, multi-step reasoning tasks through mechanisms such as Chain-of-Thought (CoT) prompting or fine-tuned reasoning traces. While these capabilities…

Computation and Language · Computer Science 2025-07-04 Riccardo Cantini , Nicola Gabriele , Alessio Orsino , Domenico Talia

Latent reasoning via continuous chain-of-thoughts (Latent CoT) has emerged as a promising alternative to discrete CoT reasoning. Operating in continuous space increases expressivity and has been hypothesized to enable superposition: the…

Computation and Language · Computer Science 2026-04-09 Michael Rizvi-Martel , Guillaume Rabusseau , Marius Mosbach

Large language models (LLMs) empowered by chain-of-thought reasoning have achieved impressive accuracy on complex tasks but suffer from excessive inference costs and latency when applied uniformly to all problems. We propose SABER…

Computation and Language · Computer Science 2025-08-15 Kai Zhao , Yanjun Zhao , Jiaming Song , Shien He , Lusheng Zhang , Qiang Zhang , Tianjiao Li

Latent tokens are gaining attention for enhancing reasoning in large language models (LLMs), yet their internal mechanisms remain unclear. This paper examines the problem from a reliability perspective, uncovering fundamental weaknesses:…

Computation and Language · Computer Science 2025-12-29 Yuyi Zhang , Boyu Tang , Tianjie Ju , Sufeng Duan , Gongshen Liu

Self-correction in language models remains elusive. In this work, we explore whether language models can explicitly localize errors in incorrect reasoning, as a path toward building AI systems that can effectively correct themselves. We…

Large Language Models (LLMs) have shown impressive performance on complex tasks through Chain-of-Thought (CoT) reasoning. However, conventional CoT relies on explicitly verbalized intermediate steps, which constrains its broader…

Computation and Language · Computer Science 2025-11-04 Xinghao Chen , Anhao Zhao , Heming Xia , Xuan Lu , Hanlin Wang , Yanjun Chen , Wei Zhang , Jian Wang , Wenjie Li , Xiaoyu Shen

Mechanisms for continued self-improvement of language models without external supervision remain an open challenge. We propose Peer-Predictive Self-Training (PST), a label-free fine-tuning framework in which multiple language models improve…

Computation and Language · Computer Science 2026-04-28 Shi Feng , Hanlin Zhang , Fan Nie , Sham Kakade , Yiling Chen