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In a directed graph, a kernel is a subset of vertices that is both stable and absorbing. Not all digraphs have a kernel, but a theorem due to Boros and Gurvich guarantees the existence of a kernel in every clique-acyclic orientation of a…

Discrete Mathematics · Computer Science 2018-01-09 Adèle Pass-Lanneau , Ayumi Igarashi , Frédéric Meunier

Social media data are often modeled as heterogeneous graphs with multiple types of nodes and edges. We present a discovery algorithm that first chooses a "background" graph based on a user's analytical interest and then automatically…

Social and Information Networks · Computer Science 2021-04-23 Subhasis Dasgupta , Amarnath Gupta

Graphs are useful to interpret widely used image processing methods, e.g., bilateral filtering, or to develop new ones, e.g., kernel based techniques. However, simple graph constructions are often used, where edge weight and connectivity…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Sarath Shekkizhar , Antonio Ortega

A number of applications in engineering, social sciences, physics, and biology involve inference over networks. In this context, graph signals are widely encountered as descriptors of vertex attributes or features in graph-structured data.…

Machine Learning · Statistics 2016-12-21 Daniel Romero , Meng Ma , Georgios B. Giannakis

Graphs effectively characterize relational data, driving graph representation learning methods that uncover underlying predictive information. As state-of-the-art approaches, Graph Neural Networks (GNNs) enable end-to-end learning for…

Machine Learning · Computer Science 2025-04-24 Mao Wang , Tao Wu , Xingping Xian , Shaojie Qiao , Weina Niu , Canyixing Cui

OmniGraph, a novel representation to support a range of NLP classification tasks, integrates lexical items, syntactic dependencies and frame semantic parses into graphs. Feature engineering is folded into the learning through convolution…

Computation and Language · Computer Science 2015-10-13 Boyi Xie , Rebecca J. Passonneau

Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

Social and Information Networks · Computer Science 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

Graph Neural Networks (GNNs) extend the success of neural networks to graph-structured data by accounting for their intrinsic geometry. While extensive research has been done on developing GNN models with superior performance according to a…

Rationale is defined as a subset of input features that best explains or supports the prediction by machine learning models. Rationale identification has improved the generalizability and interpretability of neural networks on vision and…

Machine Learning · Computer Science 2022-09-27 Gang Liu , Tong Zhao , Jiaxin Xu , Tengfei Luo , Meng Jiang

Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree is associated with a function which takes as inputs two…

Machine Learning · Computer Science 2019-10-23 Roozbeh Farhoodi , Khashayar Filom , Ilenna Simone Jones , Konrad Paul Kording

Generating scene graph to describe all the relations inside an image gains increasing interests these years. However, most of the previous methods use complicated structures with slow inference speed or rely on the external data, which…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Yikang Li , Wanli Ouyang , Bolei Zhou , Jianping Shi , Chao Zhang , Xiaogang Wang

We propose a statistical model for graphs with a core-periphery structure. To do this we define a precise notion of what it means for a graph to have this structure, based on the sparsity properties of the subgraphs of core and periphery…

Methodology · Statistics 2019-10-23 Cian Naik , François Caron , Judith Rousseau

We consider the problem of explaining the predictions of graph neural networks (GNNs), which otherwise are considered as black boxes. Existing methods invariably focus on explaining the importance of graph nodes or edges but ignore the…

Machine Learning · Computer Science 2021-06-02 Hao Yuan , Haiyang Yu , Jie Wang , Kang Li , Shuiwang Ji

Graph neural networks are increasingly becoming the framework of choice for graph-based machine learning. In this paper, we propose a new graph neural network architecture that substitutes classical message passing with an analysis of the…

Machine Learning · Computer Science 2024-01-18 Alessandro Bicciato , Luca Cosmo , Giorgia Minello , Luca Rossi , Andrea Torsello

This work introduces an enhanced approach to generating scene graphs by incorporating both a relationship hierarchy and commonsense knowledge. Specifically, we begin by proposing a hierarchical relation head that exploits an informative…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Bowen Jiang , Zhijun Zhuang , Shreyas S. Shivakumar , Camillo J. Taylor

Substring kernels are classical tools for representing biological sequences or text. However, when large amounts of annotated data are available, models that allow end-to-end training such as neural networks are often preferred. Links…

Machine Learning · Statistics 2019-10-18 Dexiong Chen , Laurent Jacob , Julien Mairal

Many real world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original…

Social and Information Networks · Computer Science 2014-11-25 Anatol E. Wegner

In this paper, we propose the novel problem of Subteam Replacement: given a team of people embedded in a social network to complete a certain task, and a subset of members - subteam - in this team which have become unavailable, find another…

Social and Information Networks · Computer Science 2021-11-12 Zhaoheng Li , Xinyu Pi , Mingyuan Wu , Hanghang Tong

Graphs are a useful abstraction of image content. Not only can graphs represent details about individual objects in a scene but they can capture the interactions between pairs of objects. We present a method for training a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Alejandro Newell , Jia Deng

Machine learning models that operate on graph-structured data, such as molecular graphs or social networks, often make accurate predictions but offer little insight into why certain predictions are made. Counterfactual explanations address…

Machine Learning · Computer Science 2025-11-21 David Bechtoldt , Sidney Bender