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Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

Although contemporary large language models (LMs) demonstrate impressive question-answering capabilities, their answers are typically the product of a single call to the model. This entails an unwelcome degree of opacity and compromises…

Artificial Intelligence · Computer Science 2022-08-31 Antonia Creswell , Murray Shanahan

Search is an ability foundational in many important tasks, and recent studies have shown that large language models (LLMs) struggle to perform search robustly. It is unknown whether this inability is due to a lack of data, insufficient…

Transformer based language models exhibit intelligent behaviors such as understanding natural language, recognizing patterns, acquiring knowledge, reasoning, planning, reflecting and using tools. This paper explores how their underlying…

Machine Learning · Computer Science 2023-11-15 Sumeet S. Singh

Few-shot Chain-of-Thought (CoT) prompting has demonstrated strong performance in improving the reasoning capabilities of large language models (LLMs). While theoretical investigations have been conducted to understand CoT, the underlying…

Computation and Language · Computer Science 2024-10-23 Yingqian Cui , Pengfei He , Xianfeng Tang , Qi He , Chen Luo , Jiliang Tang , Yue Xing

Models based on the Transformer neural network architecture have seen success on a wide variety of tasks that appear to require complex "cognitive branching" -- or the ability to maintain pursuit of one goal while accomplishing others. In…

Artificial Intelligence · Computer Science 2024-02-14 Aaron Traylor , Jack Merullo , Michael J. Frank , Ellie Pavlick

Recent large language models have demonstrated relevant capabilities in solving problems that require logical reasoning; however, the corresponding internal mechanisms remain largely unexplored. In this paper, we show that a small language…

Artificial Intelligence · Computer Science 2025-10-13 Davide Maltoni , Matteo Ferrara

This research addresses a fundamental question in AI: whether large language models truly understand concepts or simply recognize patterns. The authors propose bidirectional reasoning,the ability to apply transformations in both directions…

Transformers empirically perform precise probabilistic reasoning in carefully constructed ``Bayesian wind tunnels'' and in large-scale language models, yet the mechanisms by which gradient-based learning creates the required internal…

Machine Learning · Statistics 2026-05-19 Naman Agarwal , Siddhartha R. Dalal , Vishal Misra

We present a model inspired by the Global Workspace Theory that integrates specialized modules to perform a sequential reasoning task. A controller selectively routes information between modules through the workspace using a gating…

Machine Learning · Computer Science 2025-03-10 Hugo Chateau-Laurent , Rufin VanRullen

We study the approximation capabilities, convergence speeds and on-convergence behaviors of transformers trained on in-context recall tasks -- which requires to recognize the \emph{positional} association between a pair of tokens from…

Machine Learning · Computer Science 2025-10-22 Quan Nguyen , Thanh Nguyen-Tang

Sequence modelling requires determining which past tokens are causally relevant from the context and their importance: a process inherent to the attention layers in transformers, yet whose underlying learned mechanisms remain poorly…

Machine Learning · Computer Science 2026-04-14 Francesco D'Angelo , Nicolas Flammarion

We study the task of prompting large-scale language models to perform multi-step reasoning. Existing work shows that when prompted with a chain of thoughts (CoT), sequences of short sentences describing intermediate reasoning steps towards…

Computation and Language · Computer Science 2023-01-31 Yao Fu , Hao Peng , Ashish Sabharwal , Peter Clark , Tushar Khot

The current deep learning model is of a single-grade, that is, it learns a deep neural network by solving a single nonconvex optimization problem. When the layer number of the neural network is large, it is computationally challenging to…

Machine Learning · Computer Science 2023-02-02 Yuesheng Xu

Previous work shows that the chain of continuous thought (continuous CoT) improves the reasoning capability of large language models (LLMs) by enabling implicit parallel thinking, and a subsequent work provided theoretical insight by…

Machine Learning · Computer Science 2026-03-03 Hanlin Zhu , Shibo Hao , Zhiting Hu , Jiantao Jiao , Stuart Russell , Yuandong Tian

Transformers have exhibited exceptional capabilities in sequence modeling tasks, leveraging self-attention and in-context learning. Critical to this success are induction heads, attention circuits that enable copying tokens based on their…

Machine Learning · Computer Science 2025-09-11 Francesco D'Angelo , Francesco Croce , Nicolas Flammarion

Multi-step reasoning ability of large language models is crucial in tasks such as math and tool utilization. Current researches predominantly focus on enhancing model performance in these multi-step reasoning tasks through fine-tuning with…

Computation and Language · Computer Science 2024-10-23 Yuli Qiu , Jiashu Yao , Heyan Huang , Yuhang Guo

Recent Large Multimodal Models have demonstrated remarkable reasoning capabilities, especially in solving complex mathematical problems and realizing accurate spatial perception. Our key insight is that these emerging abilities can…

Artificial Intelligence · Computer Science 2025-05-20 Weiliang Tang , Dong Jing , Jia-Hui Pan , Zhiwu Lu , Yun-Hui Liu , Li Erran Li , Mingyu Ding , Chi-Wing Fu

The state of the art in learning meaningful semantic representations of words is the Transformer model and its attention mechanisms. Simply put, the attention mechanisms learn to attend to specific parts of the input dispensing recurrence…

Computation and Language · Computer Science 2020-12-24 Dongsheng Wang , Casper Hansen , Lucas Chaves Lima , Christian Hansen , Maria Maistro , Jakob Grue Simonsen , Christina Lioma

Recent advancements in Large Language Models (LLMs) are increasingly focused on "reasoning" ability, a concept with many overlapping definitions in the LLM discourse. We take a more structured approach, distinguishing meta-level reasoning…

Computation and Language · Computer Science 2026-01-13 Nick Ferguson , Alan Bundy , Kwabena Nuamah
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