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Numerical reasoning is an essential ability for NLP systems to handle numeric information. Recent research indicates that fine-tuning a small-scale model to learn generating reasoning processes alongside answers can significantly enhance…

Computation and Language · Computer Science 2024-02-19 Dingzirui Wang , Longxu Dou , Xuanliang Zhang , Qingfu Zhu , Wanxiang Che

Document reranking is a key component in information retrieval (IR), aimed at refining initial retrieval results to improve ranking quality for downstream tasks. Recent studies--motivated by large reasoning models (LRMs)--have begun…

Information Retrieval · Computer Science 2025-10-13 Xuan Lu , Haohang Huang , Rui Meng , Yaohui Jin , Wenjun Zeng , Xiaoyu Shen

Reasoning models enhance performance by tackling problems in a step-by-step manner, decomposing them into sub-problems and exploring long chains of thought before producing an answer. However, applying extended reasoning to every step…

Artificial Intelligence · Computer Science 2025-10-08 Haiquan Lu , Gongfan Fang , Xinyin Ma , Qi Li , Xinchao Wang

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

Large Language Models (LLMs) have demonstrated remarkable performance across multiple tasks through in-context learning. For complex reasoning tasks that require step-by-step thinking, Chain-of-Thought (CoT) prompting has given impressive…

Computation and Language · Computer Science 2024-10-10 Armel Zebaze , Benoît Sagot , Rachel Bawden

Solving symbolic reasoning problems that require compositionality and systematicity is considered one of the key ingredients of human intelligence. However, symbolic reasoning is still a great challenge for deep learning models, which often…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Many language tasks can be modeled as classification problems where a large language model (LLM) is given a prompt and selects one among many possible answers. We show that the classification error in such problems scales as a power law in…

Machine Learning · Computer Science 2026-05-22 Amrut Nadgir , Vijay Balasubramanian , Pratik Chaudhari

Large language models often solve complex reasoning tasks more effectively with Chain-of-Thought (CoT), but at the cost of long, low-bandwidth token sequences. Humans, by contrast, often reason softly by maintaining a distribution over…

Computation and Language · Computer Science 2026-01-14 Yao Tang , Li Dong , Yaru Hao , Qingxiu Dong , Furu Wei , Jiatao Gu

Chain-of-Thought (CoT) reasoning enables Large Language Models (LLMs) to solve complex reasoning tasks by generating intermediate reasoning steps. However, most existing approaches focus on hard token decoding, which constrains reasoning…

Computation and Language · Computer Science 2025-05-28 Yige Xu , Xu Guo , Zhiwei Zeng , Chunyan Miao

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…

Artificial Intelligence · Computer Science 2026-02-05 Jiecong Wang , Hao Peng , Chunyang Liu

In the real-world question answering scenarios, hybrid form combining both tabular and textual contents has attracted more and more attention, among which numerical reasoning problem is one of the most typical and challenging problems.…

Computation and Language · Computer Science 2022-10-21 Fangyu Lei , Shizhu He , Xiang Li , Jun Zhao , Kang Liu

We study learning with Chain-of-Thought (CoT) supervision from multiple thinkers, all of whom provide correct but possibly systematically different solutions, e.g., step-by-step solutions to math problems written by different thinkers, or…

Machine Learning · Computer Science 2026-04-28 Nirmit Joshi , Roey Magen , Nathan Srebro , Nikolaos Tsilivis , Gal Vardi

Human-like chatbots necessitate the use of commonsense reasoning in order to effectively comprehend and respond to implicit information present within conversations. Achieving such coherence and informativeness in responses, however, is a…

Computation and Language · Computer Science 2023-10-24 Hyungjoo Chae , Yongho Song , Kai Tzu-iunn Ong , Taeyoon Kwon , Minjin Kim , Youngjae Yu , Dongha Lee , Dongyeop Kang , Jinyoung Yeo

Chain-of-thought (CoT) reasoning improves large language models (LLMs) on difficult tasks, but it also makes inference expensive because every intermediate step must be generated as a discrete token. Latent reasoning reduces visible token…

Computation and Language · Computer Science 2026-05-11 Xuan Li , Yining Wang , Yuchen Liu , Guanjun Liu , Delai Qiu , Shengping Liu , Jiaen Liang , Wei Huang , Jun Yu , Junnan Zhu

Large reasoning models (LRMs) have exhibited remarkable reasoning capabilities through inference-time scaling, but this progress has also introduced considerable redundancy and inefficiency into their reasoning processes, resulting in…

Artificial Intelligence · Computer Science 2025-07-18 Xingyang He , Xiao Ling , Jie Liu

Neural algorithmic reasoning aims to capture computations with neural networks by training models to imitate the execution of classical algorithms. While common architectures are expressive enough to contain the correct model in the weight…

Machine Learning · Computer Science 2025-08-14 Gleb Rodionov , Liudmila Prokhorenkova

Numerical reasoning over text is a challenging task of Artificial Intelligence (AI), requiring reading comprehension and numerical reasoning abilities. Previous approaches use numerical reasoning programs to represent the reasoning process.…

Artificial Intelligence · Computer Science 2022-10-21 Jiaxin Zhang , Yashar Moshfeghi

Concept learning is a form of supervised machine learning that operates on knowledge bases in description logics. State-of-the-art concept learners often rely on an iterative search through a countably infinite concept space. In each…

Machine Learning · Statistics 2026-03-13 Louis Mozart Kamdem Teyou , Caglar Demir , Axel-Cyrille Ngonga Ngomo

Chain-of-thought (CoT) reasoning has emerged as an effective approach for activating latent capabilities in LLMs. Interestingly, we observe that both CoT reasoning and self-training share the core objective: iteratively leveraging…

Computation and Language · Computer Science 2025-05-27 Zongqian Wu , Baoduo Xu , Ruochen Cui , Mengmeng Zhan , Xiaofeng Zhu , Lei Feng

Tasks that model the relation between pairs of tokens in a string are a vital part of understanding natural language. Such tasks, in general, require exhaustive pair-wise comparisons of tokens, thus having a quadratic runtime complexity in…

Computation and Language · Computer Science 2023-12-13 Tianyu Liu , Afra Amini , Mrinmaya Sachan , Ryan Cotterell
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