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It is a usual practice to ignore any structural information underlying classes in multi-class classification. In this paper, we propose a graph convolutional network (GCN) augmented neural network classifier to exploit a known, underlying…

Machine Learning · Computer Science 2018-02-23 Meihao Chen , Zhuoru Lin , Kyunghyun Cho

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

Machine Learning · Computer Science 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

In many graphs such as social networks, nodes have associated attributes representing their behavior. Predicting node attributes in such graphs is an important problem with applications in many domains like recommendation systems, privacy…

Machine Learning · Computer Science 2021-02-23 Sarwan Ali , Muhammad Haroon Shakeel , Imdadullah Khan , Safiullah Faizullah , Muhammad Asad Khan

Graph neural networks (GNNs), which propagate the node features through the edges and learn how to transform the aggregated features under label supervision, have achieved great success in supervised feature extraction for both node-level…

Machine Learning · Statistics 2022-11-01 Yilin He , Chaojie Wang , Hao Zhang , Bo Chen , Mingyuan Zhou

In the process of building (structural learning) a probabilistic graphical model from a set of observed data, the directional, cyclic dependencies between the random variables of the model are often found. Existing graphical models such as…

Machine Learning · Computer Science 2023-10-26 Oleksii Sirotkin

We introduce Probabilistic Dependency Graphs (PDGs), a new class of directed graphical models. PDGs can capture inconsistent beliefs in a natural way and are more modular than Bayesian Networks (BNs), in that they make it easier to…

Artificial Intelligence · Computer Science 2020-12-22 Oliver Richardson , Joseph Y Halpern

Graph neural networks (GNNs) have achieved superior performance on node classification tasks in the last few years. Commonly, this is framed in a transductive semi-supervised learning setup wherein the entire graph, including the target…

Machine Learning · Computer Science 2021-10-11 Artun Bayer , Arindam Chowdhury , Santiago Segarra

In recent years, there have been intense research efforts to develop efficient methods for probabilistic inference in probabilistic influence diagrams or belief networks. Many people have concluded that the best methods are those based on…

Artificial Intelligence · Computer Science 2013-04-05 Ross D. Shachter , Stig K. Andersen , Kim-Leng Poh

We study random graph models for directed acyclic graphs, an important class of networks that includes citation networks, food webs, and feed-forward neural networks among others. We propose two specific models, roughly analogous to the…

Physics and Society · Physics 2009-10-16 Brian Karrer , M. E. J. Newman

Graph Neural Networks (GNNs) have shown state-of-the-art improvements in node classification tasks on graphs. While these improvements have been largely demonstrated in a multi-class classification scenario, a more general and realistic…

Machine Learning · Computer Science 2024-03-01 Tianqi Zhao , Ngan Thi Dong , Alan Hanjalic , Megha Khosla

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

Machine Learning · Statistics 2009-12-01 Ali Shojaie , George Michailidis

Graph neural networks (GNNs) are the dominant paradigm for classifying nodes in a graph, but they have several undesirable attributes stemming from their message passing architecture. Recently, distillation methods succeeded in eliminating…

Machine Learning · Computer Science 2024-02-09 Daniel Winter , Niv Cohen , Yedid Hoshen

Neural network design has utilized flexible nonlinear processes which can mimic biological systems, but has suffered from a lack of traceability in the resulting network. Graphical probabilistic models ground network design in probabilistic…

Machine Learning · Computer Science 2015-06-19 Kenric P. Nelson , Madalina Barbu , Brian J. Scannell

Graph classification is a significant problem in many scientific domains. It addresses tasks such as the classification of proteins and chemical compounds into categories according to their functions, or chemical and structural properties.…

Machine Learning · Computer Science 2019-02-25 Marcelo Daniel Gutierrez Mallea , Peter Meltzer , Peter J Bentley

Directed graphs naturally model systems with asymmetric, ordered relationships, essential to applications in biology, transportation, social networks, and visual understanding. Generating such graphs enables tasks such as simulation, data…

Machine Learning · Computer Science 2026-02-20 Alba Carballo-Castro , Manuel Madeira , Yiming Qin , Dorina Thanou , Pascal Frossard

In many real applications that use and analyze networked data, the links in the network graph may be erroneous, or derived from probabilistic techniques. In such cases, the node classification problem can be challenging, since the…

Databases · Computer Science 2014-05-23 Michele Dallachiesa , Charu Aggarwal , Themis Palpanas

Graph structured data provide two-fold information: graph structures and node attributes. Numerous graph-based algorithms rely on both information to achieve success in supervised tasks, such as node classification and link prediction.…

Machine Learning · Statistics 2019-07-24 Xu Chen , Siheng Chen , Huangjie Zheng , Jiangchao Yao , Kenan Cui , Ya Zhang , Ivor W. Tsang

The widespread relevance of increasingly complex networks requires methods to extract meaningful coarse-grained representations of such systems. For undirected graphs, standard community detection methods use criteria largely based on…

Physics and Society · Physics 2010-12-14 Kathryn Cooper , Mauricio Barahona

Directed networks are conveniently represented as graphs in which ordered edges encode interactions between vertices. Despite their wide availability, there is a shortage of statistical models amenable for inference, specially when…

Statistics Theory · Mathematics 2023-04-05 Stefan Stein , Chenlei Leng

Visual knowledge bases such as Visual Genome power numerous applications in computer vision, including visual question answering and captioning, but suffer from sparse, incomplete relationships. All scene graph models to date are limited to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Vincent S. Chen , Paroma Varma , Ranjay Krishna , Michael Bernstein , Christopher Re , Li Fei-Fei