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Real-world graphs generally have only one kind of tendency in their connections. These connections are either homophily-prone or heterophily-prone. While graphs with homophily-prone edges tend to connect nodes with the same class (i.e.,…

Social and Information Networks · Computer Science 2023-06-14 Yizhen Zheng , He Zhang , Vincent CS Lee , Yu Zheng , Xiao Wang , Shirui Pan

We introduce a novel model-theoretic framework inspired from graph modification and based on the interplay between model theory and algorithmic graph minors. The core of our framework is a new compound logic operating with two types of…

Data Structures and Algorithms · Computer Science 2022-11-07 Fedor V. Fomin , Petr A. Golovach , Ignasi Sau , Giannos Stamoulis , Dimitrios M. Thilikos

Feature attributions are post-training analysis methods that assess how various input features of a machine learning model contribute to an output prediction. Their interpretation is straightforward when features act independently, but it…

Machine Learning · Computer Science 2026-01-29 Kurt Butler , Guanchao Feng , Petar Djuric

Although artificial intelligence (AI) has made significant progress in understanding molecules in a wide range of fields, existing models generally acquire the single cognitive ability from the single molecular modality. Since the hierarchy…

Machine Learning · Computer Science 2022-09-14 Bing Su , Dazhao Du , Zhao Yang , Yujie Zhou , Jiangmeng Li , Anyi Rao , Hao Sun , Zhiwu Lu , Ji-Rong Wen

In this work we present a computation paradigm based on a concurrent and incremental construction of proof nets (de-sequentialized or graphical proofs) of the pure multiplicative and additive fragment of Linear Logic, a resources conscious…

Logic in Computer Science · Computer Science 2012-10-23 Roberto Maieli

Recently, there has been a surge of interest in employing neural networks for graph generation, a fundamental statistical learning problem with critical applications like molecule design and community analysis. However, most approaches…

Machine Learning · Computer Science 2024-07-31 Yunhui Jang , Seul Lee , Sungsoo Ahn

Scene graph generation (SGG) and human-object interaction (HOI) detection are two important visual tasks aiming at localising and recognising relationships between objects, and interactions between humans and objects, respectively.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-06 Tao He , Lianli Gao , Jingkuan Song , Yuan-Fang Li

This paper introduces the Myerson interaction index (MII), an extension of the Shapley interaction index to cooperative games with communication structures restricted by graphs. We establish a formal framework for interaction indices on…

Optimization and Control · Mathematics 2026-05-28 Jorge González-Ortega , Elisenda Molina , Juan Tejada

G\"odel modal logics can be seen as extenions of intutionistic modal logics with the prelinearity axiom. In this paper we focus on the algebraic and relational semantics for G\"odel modal logics that leverages on the duality between finite…

Logic · Mathematics 2021-12-07 Tommaso Flaminio , Lluis Godo , Paula Menchón , Ricardo O. Rodriguez

Let $G=(V,E)$ be a simple connected graph. A matching of $G$ is a set of disjoint edges of $G$. For every $n, m\in\mathbb{N}$, the $n$-subdivision of $G$ is a simple graph $G^{\frac{1}{n}}$ which is constructed by replacing each edge of $G$…

Combinatorics · Mathematics 2018-06-04 Saeid Alikhani , Neda Soltani

A signed graph has edge signs. A gain graph has oriented edge gains drawn from a group. We define the combination of the two for the abelian case, in which each oriented edge of a signed graph has a gain from an abelian group, concentrating…

Combinatorics · Mathematics 2022-06-22 Laura Anderson , Ting Su , Thomas Zaslavsky

Interpretability methods for deep neural networks mainly focus on the sensitivity of the class score with respect to the original or perturbed input, usually measured using actual or modified gradients. Some methods also use a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Md Mahfuzur Rahman , Noah Lewis , Sergey Plis

Graph neural networks (GNNs) are widely used for modeling complex interactions between entities represented as vertices of a graph. Despite recent efforts to theoretically analyze the expressive power of GNNs, a formal characterization of…

Machine Learning · Computer Science 2023-10-24 Noam Razin , Tom Verbin , Nadav Cohen

Trajectory prediction for surrounding agents is a challenging task in autonomous driving due to its inherent uncertainty and underlying multimodality. Unlike prevailing data-driven methods that primarily rely on supervised learning, in this…

Computer Vision and Pattern Recognition · Computer Science 2025-06-27 Muleilan Pei , Shaoshuai Shi , Lu Zhang , Peiliang Li , Shaojie Shen

The success of machine learning (ML) in materials property prediction depends heavily on how the materials are represented for learning. Two dominant families of material descriptors exist, one that encodes crystal structure in the…

Machine Learning · Computer Science 2022-04-05 Achintha Ihalage , Yang Hao

In recent years, molecular representation learning has emerged as a key area of focus in various chemical tasks. However, many existing models fail to fully consider the geometric information of molecular structures, resulting in less…

Machine Learning · Computer Science 2023-06-29 Bumju Kwak , Jiwon Park , Taewon Kang , Jeonghee Jo , Byunghan Lee , Sungroh Yoon

Previous studies such as VizWiz find that Visual Question Answering (VQA) systems that can read and reason about text in images are useful in application areas such as assisting visually-impaired people. TextVQA is a VQA dataset geared…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Michael Yang , Aditya Anantharaman , Zachary Kitowski , Derik Clive Robert

We demonstrate that graph-based models are fully capable of representing higher-order interactions, and have a long history of being used for precisely this purpose. This stands in contrast to a common claim in the recent literature on…

Physics and Society · Physics 2026-02-20 Tiago P. Peixoto , Leto Peel , Thilo Gross , Manlio De Domenico

By interpreting a traffic scene as a graph of interacting vehicles, we gain a flexible abstract representation which allows us to apply Graph Neural Network (GNN) models for traffic prediction. These naturally take interaction between…

Machine Learning · Computer Science 2019-05-08 Frederik Diehl , Thomas Brunner , Michael Truong Le , Alois Knoll

Graph Neural Networks (GNNs) are powerful models that can manage complex data sources and their interconnection links. One of GNNs' main drawbacks is their lack of interpretability, which limits their application in sensitive fields. In…

Machine Learning · Computer Science 2026-03-24 Salvatore Calderaro , Domenico Amato , Giosuè Lo Bosco , Riccardo Rizzo , Filippo Vella
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