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Related papers: Lines of Thought in Large Language Models

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Chain-of-Thought (CoT) prompting significantly improves reasoning in Large Language Models, yet the temporal dynamics of the underlying representation geometry remain poorly understood. We investigate these dynamics by applying Manifold…

Machine Learning · Computer Science 2026-05-11 Chanwoo Chun , Alexandre Polo , SueYeon Chung

Large Language Models (LLMs) have rapidly transformed the landscape of artificial intelligence, enabling natural language interfaces and dynamic orchestration of software components. However, their reliance on probabilistic inference limits…

Machine Learning · Computer Science 2025-07-01 Claudionor Coelho , Yanen Li , Philip Tee

Large language models (LLMs) enable researchers to analyze text at unprecedented scale and minimal cost. Researchers can now revisit old questions and tackle novel ones with rich data. We provide an econometric framework for realizing this…

Econometrics · Economics 2025-12-08 Jens Ludwig , Sendhil Mullainathan , Ashesh Rambachan

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

Large Language Models (LLMs) face significant limitations when applied to large-scale graphs, struggling with context constraints and inflexible reasoning. We present GraphChain, a framework that enables LLMs to analyze complex graphs…

Artificial Intelligence · Computer Science 2025-11-11 Chunyu Wei , Wenji Hu , Xingjia Hao , Xin Wang , Yifan Yang , Yueguo Chen , Yang Tian , Yunhai Wang

Large language models encode the correlational structure present in natural language by fitting segments of utterances (tokens) into a high dimensional ambient latent space upon which the models then operate. We assert that in order to…

Differential Geometry · Mathematics 2024-10-14 Michael Robinson , Sourya Dey , Shauna Sweet

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, especially when guided by explicit chain-of-thought (CoT) reasoning that verbalizes intermediate steps. While CoT improves both interpretability and accuracy,…

Reasoning with a chain-of-thought (CoT) enables Large Language Models (LLMs) to solve complex tasks but incurs significant inference costs due to the generation of long rationales. We propose Thinking States, a method that performs…

Computation and Language · Computer Science 2026-02-10 Ido Amos , Avi Caciularu , Mor Geva , Amir Globerson , Jonathan Herzig , Lior Shani , Idan Szpektor

We investigate the behavior of maps learned by machine translation methods. The maps translate words by projecting between word embedding spaces of different languages. We locally approximate these maps using linear maps, and find that they…

Computation and Language · Computer Science 2018-06-19 Ndapa Nakashole , Raphael Flauger

Large reasoning models (LRMs) achieve strong performance on mathematical reasoning tasks, often attributed to their capability to generate explicit chain-of-thought (CoT) explanations. However, recent work shows that LRMs often arrive at…

Computation and Language · Computer Science 2026-04-20 Yihong Liu , Raoyuan Zhao , Hinrich Schütze , Michael A. Hedderich

The representation space of pretrained Language Models (LMs) encodes rich information about words and their relationships (e.g., similarity, hypernymy, polysemy) as well as abstract semantic notions (e.g., intensity). In this paper, we…

Computation and Language · Computer Science 2023-06-02 Qing Lyu , Marianna Apidianaki , Chris Callison-Burch

Autoregressive language models trained with next-token prediction generate text by sampling one discrete token at a time. Although very scalable, this objective forces the model to commit at every step, preventing it from exploring or…

Computation and Language · Computer Science 2026-03-24 Lorenzo Noci , Gregor Bachmann , Seyed-Mohsen Moosavi-Dezfooli , Moin Nabi

We study the fractal structure of language, aiming to provide a precise formalism for quantifying properties that may have been previously suspected but not formally shown. We establish that language is: (1) self-similar, exhibiting…

Computation and Language · Computer Science 2024-05-24 Ibrahim Alabdulmohsin , Vinh Q. Tran , Mostafa Dehghani

Large Language Models (LLMs) have been shown to achieve breakthrough performance on complex logical reasoning tasks. Nevertheless, most existing research focuses on employing formal language to guide LLMs to derive reliable reasoning paths,…

Computation and Language · Computer Science 2025-05-23 Jin Jiang , Jianing Wang , Yuchen Yan , Yang Liu , Jianhua Zhu , Mengdi Zhang , Xunliang Cai , Liangcai Gao

Scaling large language models by increasing parameters and training data is increasingly constrained by limited high-quality corpora and rising communication costs. This work explores an alternative axis: increasing per-token computation…

Computation and Language · Computer Science 2026-03-11 Boyi Zeng , Yiqin Hao , He Li , Shixiang Song , Feichen Song , Zitong Wang , Siyuan Huang , Yi Xu , ZiWei He , Xinbing Wang , Zhouhan Lin

Large language models (LMs) are currently trained to predict tokens given document prefixes, enabling them to directly perform long-form generation and prompting-style tasks which can be reduced to document completion. Existing pretraining…

Large language models (LLMs) have demonstrated impressive capabilities in general scenarios, exhibiting a level of aptitude that approaches, in some aspects even surpasses, human-level intelligence. Among their numerous skills, the…

Computation and Language · Computer Science 2023-11-30 Zhiwei He , Tian Liang , Wenxiang Jiao , Zhuosheng Zhang , Yujiu Yang , Rui Wang , Zhaopeng Tu , Shuming Shi , Xing Wang

Large language models (LLMs) possess vast semantic knowledge but often struggle with complex reasoning tasks, particularly in relational reasoning problems such as kinship or spatial reasoning. In this paper, we present Path-of-Thoughts…

Computation and Language · Computer Science 2026-03-25 Ge Zhang , Mohammad Ali Alomrani , Hongjian Gu , Jiaming Zhou , Yaochen Hu , Bin Wang , Qun Liu , Mark Coates , Yingxue Zhang , Jianye Hao

Large Language Models (LLMs) have revolutionised the field of Natural Language Processing (NLP) and have achieved state-of-the-art performance in practically every task in this field. However, the prevalent approach used in text generation,…

Computation and Language · Computer Science 2024-08-12 Nicolo Micheletti , Samuel Belkadi , Lifeng Han , Goran Nenadic