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In pioneering work from 2019, Barcel\'o and coauthors identified logics that precisely match the expressive power of constant iteration-depth graph neural networks (GNNs) relative to properties definable in first-order logic. In this…

Logic in Computer Science · Computer Science 2025-05-05 Veeti Ahvonen , Damian Heiman , Antti Kuusisto , Carsten Lutz

Representation learning on graphs is a fundamental problem that can be crucial in various tasks. Graph neural networks, the dominant approach for graph representation learning, are limited in their representation power. Therefore, it can be…

Machine Learning · Computer Science 2025-01-17 Zuoyu Yan , Qi Zhao , Ze Ye , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

Markov Logic Networks (MLNs), which elegantly combine logic rules and probabilistic graphical models, can be used to address many knowledge graph problems. However, inference in MLN is computationally intensive, making the industrial-scale…

Artificial Intelligence · Computer Science 2020-02-05 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

Although they exist since more than ten years already, have attracted diverse implementations, and have been used successfully in a significant number of applications, declarative mapping languages for constructing knowledge graphs from…

Databases · Computer Science 2025-03-25 Sitt Min Oo , Olaf Hartig

Knowledge graphs offer an excellent solution for representing the lexical-semantic structures of lexicographic data. However, working with the SPARQL query language represents a considerable hurdle for many non-expert users who could…

Computation and Language · Computer Science 2025-05-27 Kilian Sennrich , Sina Ahmadi

Graph data, with its structurally variable nature, represents complex real-world phenomena like chemical compounds, protein structures, and social networks. Traditional Graph Neural Networks (GNNs) primarily utilize the message-passing…

Machine Learning · Computer Science 2025-02-05 Jianming Huang , Hiroyuki Kasai

Knowledge graph question answering (KGQA) aims to answer natural language questions using knowledge graphs. Recent research leverages large language models (LLMs) to enhance KGQA reasoning, but faces limitations: retrieval-based methods are…

Computation and Language · Computer Science 2025-10-03 Can Lin , Zhengwang Jiang , Ling Zheng , Qi Zhao , Yuhang Zhang , Qi Song , Wangqiu Zhou

Message passing neural networks (MPNNs) have become a dominant flavor of graph neural networks (GNNs) in recent years. Yet, MPNNs come with notable limitations; namely, they are at most as powerful as the 1-dimensional Weisfeiler-Leman…

Machine Learning · Computer Science 2022-11-04 Lingxiao Zhao , Louis Härtel , Neil Shah , Leman Akoglu

Reasoning over knowledge graphs (KGs) with first-order logic (FOL) queries is challenging due to the inherent incompleteness of real-world KGs and the compositional complexity of logical query structures. Most existing methods rely on…

Computation and Language · Computer Science 2025-12-23 Ziyan Zhang , Chao Wang , Zhuo Chen , Lei Chen , Chiyi Li , Kai Song

Large Language Models (LLMs) for Graph Reasoning have been extensively studied over the past two years, involving enabling LLMs to understand graph structures and reason on graphs to solve various graph problems, with graph algorithm…

Artificial Intelligence · Computer Science 2025-10-03 Yuwei Hu , Xinyi Huang , Zhewei Wei , Yongchao Liu , Chuntao Hong

Node-level random walk has been widely used to improve Graph Neural Networks. However, there is limited attention to random walk on edge and, more generally, on $k$-simplices. This paper systematically analyzes how random walk on different…

Machine Learning · Computer Science 2023-10-31 Cai Zhou , Xiyuan Wang , Muhan Zhang

Humans excel at remembering concrete experiences along spatiotemporal contexts and performing reasoning across those events, i.e., the capacity for episodic memory. In contrast, memory in language agents remains mainly semantic, and current…

Artificial Intelligence · Computer Science 2026-03-03 Yiheng Shu , Saisri Padmaja Jonnalagedda , Xiang Gao , Bernal Jiménez Gutiérrez , Weijian Qi , Kamalika Das , Huan Sun , Yu Su

Graph databases are gaining momentum thanks to the flexibility and expressiveness of their data models and query languages. A standardization activity driven by the ISO/IEC standardization body is also ongoing and has already conducted to…

Databases · Computer Science 2024-10-15 Renzo Angles , Angela Bonifati , Roberto García , Domagoj Vrgoč

Large language models (LLMs) have achieved remarkable performance on knowledge graph question answering (KGQA) tasks by planning and interacting with knowledge graphs. However, existing methods often confuse tool utilization with knowledge…

Computation and Language · Computer Science 2025-03-10 Mufan Xu , Gewen Liang , Kehai Chen , Wei Wang , Xun Zhou , Muyun Yang , Tiejun Zhao , Min Zhang

Recent research in molecular discovery has primarily been devoted to small, drug-like molecules, leaving many similarly important applications in material design without adequate technology. These applications often rely on more complex…

The expressivity of Graph Neural Networks (GNNs) can be described via appropriate fragments of the first order logic. Any query of the two variable fragment of graded modal logic (GC2) interpreted over labeled graphs can be expressed using…

Machine Learning · Computer Science 2024-08-14 Sammy Khalife

This work generalizes graph neural networks (GNNs) beyond those based on the Weisfeiler-Lehman (WL) algorithm, graph Laplacians, and diffusions. Our approach, denoted Relational Pooling (RP), draws from the theory of finite partial…

Machine Learning · Computer Science 2019-05-16 Ryan L. Murphy , Balasubramaniam Srinivasan , Vinayak Rao , Bruno Ribeiro

Probing large language models (LLMs) has yielded valuable insights into their internal mechanisms by linking neural activations to interpretable semantics. However, the complex mechanisms that link neuron's functional co-activation with the…

Computation and Language · Computer Science 2026-01-30 Yu Zheng , Yuan Yuan , Yue Zhuo , Yong Li , Gabriel Kreiman , Tomaso Poggio , Paolo Santi

This study aims to optimize the existing retrieval-augmented generation model (RAG) by introducing a graph structure to improve the performance of the model in dealing with complex knowledge reasoning tasks. The traditional RAG model has…

Information Retrieval · Computer Science 2024-11-07 Yuxin Dong , Shuo Wang , Hongye Zheng , Jiajing Chen , Zhenhong Zhang , Chihang Wang

Graph Neural Networks (GNNs) have become important machine learning tools for graph analysis, and its explainability is crucial for safety, fairness, and robustness. Layer-wise relevance propagation for GNNs (GNN-LRP) evaluates the…

Machine Learning · Computer Science 2026-05-25 Ping Xiong , Thomas Schnake , Michael Gastegger , Grégoire Montavon , Klaus-Robert Müller , Shinichi Nakajima
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