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We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

Data Structures and Algorithms · Computer Science 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

A new general decomposition theory inspired from modular graph decomposition is presented. This helps unifying modular decomposition on different structures, including (but not restricted to) graphs. Moreover, even in the case of graphs,…

Data Structures and Algorithms · Computer Science 2007-11-20 Binh-Minh Bui-Xuan , Michel Habib , Vincent Limouzy , Fabien De Montgolfier

While machine learning methods have significantly improved model performance over traditional methods, their black-box structure makes it difficult for researchers to interpret results. For highly regulated financial industries, model…

Machine Learning · Computer Science 2024-07-30 Dangxing Chen , Weicheng Ye

We consider structure discovery of undirected graphical models from observational data. Inferring likely structures from few examples is a complex task often requiring the formulation of priors and sophisticated inference procedures.…

Machine Learning · Statistics 2017-08-04 Eugene Belilovsky , Kyle Kastner , Gaël Varoquaux , Matthew Blaschko

Using different methods for laying out a graph can lead to very different visual appearances, with which the viewer perceives different information. Selecting a "good" layout method is thus important for visualizing a graph. The selection…

Social and Information Networks · Computer Science 2017-10-13 Oh-Hyun Kwon , Tarik Crnovrsanin , Kwan-Liu Ma

Exploring meaningful structural regularities embedded in networks is a key to understanding and analyzing the structure and function of a network. The node-attribute information can help improve such understanding and analysis. However,…

Social and Information Networks · Computer Science 2021-12-08 Wei Liu , Zhenhai Chang , Caiyan Jia , Yimei Zheng

Drug Discovery is a fundamental and ever-evolving field of research. The design of new candidate molecules requires large amounts of time and money, and computational methods are being increasingly employed to cut these costs. Machine…

Machine Learning · Statistics 2021-05-28 Pietro Bongini , Monica Bianchini , Franco Scarselli

With the increasing use of graph-structured data, there is also increasing interest in investigating graph data dependencies and their applications, e.g., in graph data profiling. Graph Generating Dependencies (GGDs) are a class of…

Databases · Computer Science 2025-02-04 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Graph Pattern based Node Matching (GPNM) is to find all the matches of the nodes in a data graph GD based on a given pattern graph GP. GPNM has become increasingly important in many applications, e.g., group finding and expert…

Databases · Computer Science 2020-02-19 Guohao Sun , Guanfeng Liu , Yan Wang , Xiaofang Zhou

Graph neural networks (GNNs) demonstrate outstanding performance in a broad range of applications. While the majority of GNN applications assume that a graph structure is given, some recent methods substantially expanded the applicability…

Most problems within and beyond the scientific domain can be framed into one of the following three levels of complexity of function approximation. Type 1: Approximate an unknown function given input/output data. Type 2: Consider a…

Machine Learning · Computer Science 2025-10-14 Théo Bourdais , Pau Batlle , Xianjin Yang , Ricardo Baptista , Nicolas Rouquette , Houman Owhadi

The success of graph neural network-based models (GNNs) has significantly advanced recommender systems by effectively modeling users and items as a bipartite, undirected graph. However, many original graph-based works often adopt results…

Information Retrieval · Computer Science 2024-05-28 Vito Walter Anelli , Daniele Malitesta , Claudio Pomo , Alejandro Bellogín , Tommaso Di Noia , Eugenio Di Sciascio

Although graph neural networks (GNNs) have made great progress recently on learning from graph-structured data in practice, their theoretical guarantee on generalizability remains elusive in the literature. In this paper, we provide a…

Machine Learning · Computer Science 2020-06-26 Shuai Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

Kernelization algorithms, usually a preprocessing step before other more traditional algorithms, are very special in the sense that they return (reduced) instances, instead of final results. This characteristic excludes the freedom of…

Data Structures and Algorithms · Computer Science 2010-10-04 Yixin Cao , Jianer Chen

The value of graph-based big data can be unlocked by exploring the topology and metrics of the networks they represent, and the computational approaches to this exploration take on many forms. The use-case of performing global computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Miguel E. Coimbra , Alexandre P. Francisco , Luís Veiga

Real-world data is often times associated with irregular structures that can analytically be represented as graphs. Having access to this graph, which is sometimes trivially evident from domain knowledge, provides a better representation of…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Muhammad Asad Lodhi , Waheed U. Bajwa

Graphs from complex systems often share a partial underlying structure across domains while retaining individual features. Thus, identifying common structures can shed light on the underlying signal, for instance, when applied to scientific…

Methodology · Statistics 2022-04-05 Katherine Tsai , Oluwasanmi Koyejo , Mladen Kolar

Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Graph pooling compresses graph information into a compact representation. State-of-the-art graph pooling methods follow a hierarchical approach, which reduces the graph size step-by-step. These methods must balance memory efficiency with…

Machine Learning · Computer Science 2024-02-23 Yunchong Song , Siyuan Huang , Xinbing Wang , Chenghu Zhou , Zhouhan Lin

Graph classification is an important problem with applications across many domains, like chemistry and bioinformatics, for which graph neural networks (GNNs) have been state-of-the-art (SOTA) methods. GNNs are designed to learn node-level…

Machine Learning · Computer Science 2021-08-25 Lanning Wei , Huan Zhao , Quanming Yao , Zhiqiang He
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