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Neural algorithmic reasoning (NAR) is an emerging field that seeks to design neural networks that mimic classical algorithmic computations. Today, graph neural networks (GNNs) are widely used in neural algorithmic reasoners due to their…

Machine Learning · Computer Science 2024-12-03 Kaijia Xu , Petar Veličković

Neural Algorithmic Reasoning (NAR) is a paradigm that trains neural networks to execute classic algorithms by supervised learning. Despite its successes, important limitations remain: inability to construct valid solutions without…

Machine Learning · Computer Science 2026-01-30 Alex Schutz , Victor-Alexandru Darvariu , Efimia Panagiotaki , Bruno Lacerda , Nick Hawes

Neural Algorithmic Reasoning (NAR) trains neural networks to simulate classical algorithms, enabling structured and interpretable reasoning over complex data. While prior research has predominantly focused on learning exact algorithms for…

Machine Learning · Computer Science 2025-06-02 Yu He , Ellen Vitercik

The development of artificial intelligence systems with advanced reasoning capabilities represents a persistent and long-standing research question. Traditionally, the primary strategy to address this challenge involved the adoption of…

Machine Learning · Computer Science 2024-02-22 Danilo Numeroso

Neural Algorithmic Reasoning (NAR) is a research area focused on designing neural architectures that can reliably capture classical computation, usually by learning to execute algorithms. A typical approach is to rely on Graph Neural…

Machine Learning · Computer Science 2024-04-30 Vladimir V. Mirjanić , Razvan Pascanu , Petar Veličković

This paper aims to understand how neural networks learn algorithmic reasoning by addressing two questions: How faithful are learned algorithms when they are effective, and why do neural networks fail to learn effective algorithms otherwise?…

Artificial Intelligence · Computer Science 2025-12-09 Lucas Saldyt , Subbarao Kambhampati

Neural Algorithmic Reasoning (NAR) extends classical algorithms to higher dimensional data. However, canonical implementations of NAR train neural networks to return only a single solution, even when there are multiple correct solutions to…

Machine Learning · Computer Science 2025-05-13 Zeno Kujawa , John Poole , Dobrik Georgiev , Danilo Numeroso , Henry Fleischmann , Pietro Liò

Neural Algorithmic Reasoning (NAR) research has demonstrated that graph neural networks (GNNs) could learn to execute classical algorithms. However, most previous approaches have always used a recurrent architecture, where each iteration of…

Machine Learning · Computer Science 2024-10-22 Dobrik Georgiev , JJ Wilson , Davide Buffelli , Pietro Liò

Large language models (LLMs) have achieved remarkable capabilities across diverse tasks, yet their internal decision-making processes remain largely opaque. Mechanistic interpretability (i.e., the systematic study of how neural networks…

Computation and Language · Computer Science 2026-02-13 Usman Naseem

One significant challenge of exploiting Graph neural networks (GNNs) in real-life scenarios is that they are always treated as black boxes, therefore leading to the requirement of interpretability. To address this, model-level…

Machine Learning · Computer Science 2025-09-22 Xiao Yue , Guangzhi Qu , Lige Gan

Recent advances in neural algorithmic reasoning with graph neural networks (GNNs) are propped up by the notion of algorithmic alignment. Broadly, a neural network will be better at learning to execute a reasoning task (in terms of sample…

Machine Learning · Computer Science 2022-10-12 Andrew Dudzik , Petar Veličković

In recent years, there has been growing interest in understanding neural architectures' ability to learn to execute discrete algorithms, a line of work often referred to as neural algorithmic reasoning. The goal is to integrate algorithmic…

Machine Learning · Computer Science 2026-02-16 Solveig Wittig , Antonis Vasileiou , Robert R. Nerem , Timo Stoll , Floris Geerts , Yusu Wang , Christopher Morris

Recent research (arXiv:2310.11453, arXiv:2402.17764) has proposed binary and ternary transformer networks as a way to significantly reduce memory and improve inference speed in Large Language Models (LLMs) while maintaining accuracy. In…

Machine Learning · Computer Science 2024-05-29 Jason Li

As a core cognitive skill that enables the transferability of information across domains, analogical reasoning has been extensively studied for both humans and computational models. However, while cognitive theories of analogy often focus…

Computation and Language · Computer Science 2024-09-05 Zhivar Sourati , Filip Ilievski , Pia Sommerauer , Yifan Jiang

Graph neural networks (GNNs) are highly effective on a variety of graph-related tasks; however, they lack interpretability and transparency. Current explainability approaches are typically local and treat GNNs as black-boxes. They do not…

Machine Learning · Computer Science 2023-03-10 Han Xuanyuan , Pietro Barbiero , Dobrik Georgiev , Lucie Charlotte Magister , Pietro Lió

Graph neural networks (GNNs) have emerged as a powerful model to capture critical graph patterns. Instead of treating them as black boxes in an end-to-end fashion, attempts are arising to explain the model behavior. Existing works mainly…

Machine Learning · Computer Science 2024-02-22 Yi Nian , Yurui Chang , Wei Jin , Lu Lin

Interpretability has emerged as a crucial aspect of building trust in machine learning systems, aimed at providing insights into the working of complex neural networks that are otherwise opaque to a user. There are a plethora of existing…

Machine Learning · Statistics 2021-01-19 Rushil Anirudh , Jayaraman J. Thiagarajan , Rahul Sridhar , Peer-Timo Bremer

Neural algorithmic reasoning (NAR) is a growing field that aims to embed algorithmic logic into neural networks by imitating classical algorithms. In this extended abstract, we detail our attempt to build a neural algorithmic reasoner that…

Artificial Intelligence · Computer Science 2025-12-08 Stjepan Požgaj , Dobrik Georgiev , Marin Šilić , Petar Veličković

Mechanistic interpretability is an emerging diagnostic approach for neural models that has gained traction in broader natural language processing domains. This paradigm aims to provide attribution to components of neural systems where…

Information Retrieval · Computer Science 2025-01-20 Andrew Parry , Catherine Chen , Carsten Eickhoff , Sean MacAvaney

Mechanistic Interpretability (MI) promises a path toward fully understanding how neural networks make their predictions. Prior work demonstrates that even when trained to perform simple arithmetic, models can implement a variety of…

Machine Learning · Computer Science 2024-05-28 Ouail Kitouni , Niklas Nolte , Víctor Samuel Pérez-Díaz , Sokratis Trifinopoulos , Mike Williams
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