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I study the modal theory of linear orders under embeddings, monotone maps, condensations, and end-extensions. I prove modality elimination for embeddings and monotone maps, show that condensations make scatteredness modally definable, and…

Logic · Mathematics 2026-05-15 Wojciech Aleksander Wołoszyn

Recent years have seen the vast potential of Graph Neural Networks (GNN) in many fields where data is structured as graphs (e.g., chemistry, recommender systems). In particular, GNNs are becoming increasingly popular in the field of…

Understanding linguistic modality is widely seen as important for downstream tasks such as Question Answering and Knowledge Graph Population. Entailment Graph learning might also be expected to benefit from attention to modality. We build…

Computation and Language · Computer Science 2021-09-22 Liane Guillou , Sander Bijl de Vroe , Mark Johnson , Mark Steedman

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Graph instance contrastive learning has been proved as an effective task for Graph Neural Network (GNN) pre-training. However, one key issue may seriously impede the representative power in existing works: Positive instances created by…

Machine Learning · Computer Science 2022-06-27 Xueyi Liu , Yu Rong , Tingyang Xu , Fuchun Sun , Wenbing Huang , Junzhou Huang

Graph Neural Networks (GNNs) have shown satisfying performance in various graph analytical problems. Hence, they have become the \emph{de facto} solution in a variety of decision-making scenarios. However, GNNs could yield biased results…

Machine Learning · Computer Science 2022-06-27 Yushun Dong , Song Wang , Yu Wang , Tyler Derr , Jundong Li

Graph Neural Networks (GNNs) have been widely deployed in various real-world applications. However, most GNNs are black-box models that lack explanations. One strategy to explain GNNs is through counterfactual explanation, which aims to…

Machine Learning · Computer Science 2024-10-29 Yinhan He , Wendy Zheng , Yaochen Zhu , Jing Ma , Saumitra Mishra , Natraj Raman , Ninghao Liu , Jundong Li

We introduce B-cos GNNs, an inherently explainable class of graph neural networks whose predictions decompose exactly into per-node, per-feature contributions via a single input-dependent linear map. B-cos GNNs use linear (sum-based)…

Machine Learning · Computer Science 2026-05-28 Joschka Groß , Mohammad Shaique Solanki , Verena Wolf

Various classes of Graph Neural Networks (GNN) have been proposed and shown to be successful in a wide range of applications with graph structured data. In this paper, we propose a theoretical framework able to compare the expressive power…

Machine Learning · Computer Science 2021-06-08 Waïss Azizian , Marc Lelarge

Graph Neural Networks (GNNs) have emerged as powerful tools for learning over structured data, including text-attributed graphs (TAGs), which are common in domains such as citation networks, social platforms, and knowledge graphs. GNNs are…

Machine Learning · Computer Science 2026-04-23 Peyman Baghershahi , Gregoire Fournier , Pranav Nyati , Sourav Medya

We consider the operation of sum on Kripke frames, where a family of frames-summands is indexed by elements of another frame. In many cases, the modal logic of sums inherits the finite model property and decidability from the modal logic of…

Logic · Mathematics 2022-07-06 Ilya B. Shapirovsky

With the growing use of deep learning methods, particularly graph neural networks, which encode intricate interconnectedness information, for a variety of real tasks, there is a necessity for explainability in such settings. In this paper,…

Machine Learning · Computer Science 2022-11-04 Harsh Patel , Shivam Sahni

Graph Neural Networks (GNNs) have achieved remarkable performance in a wide range of graph-related learning tasks. However, explaining their predictions remains a challenging problem, especially due to the mismatch between the graphs used…

Machine Learning · Computer Science 2025-08-05 Zhuomin Chen , Jingchao Ni , Hojat Allah Salehi , Xu Zheng , Dongsheng Luo

Graph neural networks (GNNs) provide state-of-the-art results in a wide variety of tasks which typically involve predicting features at the vertices of a graph. They are built from layers of graph convolutions which serve as a powerful…

Machine Learning · Statistics 2024-11-08 Mauricio Velasco , Kaiying O'Hare , Bernardo Rychtenberg , Soledad Villar

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite…

Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

Machine Learning · Computer Science 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

Graph neural networks (GNNs) rely mainly on the message-passing paradigm to propagate node features and build interactions, and different graph learning problems require different ranges of node interactions. In this work, we explore the…

Machine Learning · Computer Science 2026-01-08 Fang Wu , Siyuan Li , Stan Z. Li

Enhancing the interpretability of graph neural networks (GNNs) is crucial to ensure their safe and fair deployment. Recent work has introduced self-explainable GNNs that generate explanations as part of training, improving both faithfulness…

Machine Learning · Computer Science 2025-08-18 Fanzhen Liu , Xiaoxiao Ma , Jian Yang , Alsharif Abuadbba , Kristen Moore , Surya Nepal , Cecile Paris , Quan Z. Sheng , Jia Wu

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by…

Machine Learning · Computer Science 2021-06-15 Susheel Suresh , Vinith Budde , Jennifer Neville , Pan Li , Jianzhu Ma

As post hoc explanations are increasingly used to understand the behavior of graph neural networks (GNNs), it becomes crucial to evaluate the quality and reliability of GNN explanations. However, assessing the quality of GNN explanations is…

Machine Learning · Computer Science 2023-01-18 Chirag Agarwal , Owen Queen , Himabindu Lakkaraju , Marinka Zitnik
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