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The representation of graphs is commonly based on the adjacency matrix concept. This formulation is the foundation of most algebraic and computational approaches to graph processing. The advent of deep learning language models offers a wide…

Artificial Intelligence · Computer Science 2025-12-16 Ezequiel Lopez-Rubio

Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This subclass of perfect graphs has been extensively studied, due to both its interesting structure…

Computational Complexity · Computer Science 2010-02-03 George B. Mertzios , Ignasi Sau , Shmuel Zaks

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

We present a framework for representing and modeling data on graphs. Based on this framework, we study three typical classes of graph signals: smooth graph signals, piecewise-constant graph signals, and piecewise-smooth graph signals. For…

Artificial Intelligence · Computer Science 2015-12-18 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Hierarchical structure and repetition are prevalent in graphs originating from nature or engineering. These patterns can be represented by a class of parametric-structure graphs, which are defined by templates that generate structure by way…

Data Structures and Algorithms · Computer Science 2020-11-16 Tal Ben-Nun , Lukas Gianinazzi , Torsten Hoefler , Yishai Oltchik

Context: Edge graphs are graphs whose edges are labelled with identifiers, and nodes can have multiple edges between them. They are used to model a wide range of systems, including networks with distances or degrees of connection and…

Programming Languages · Computer Science 2024-03-05 Jack Liell-Cock , Tom Schrijvers

We propose a new graph-theoretic benchmark in this paper. The benchmark is developed to address shortcomings of an existing widely-used graph benchmark. We thoroughly studied a large number of traditional and contemporary graph algorithms…

Performance · Computer Science 2010-05-06 Andy B. Yoo , Yang Liu , Sheila Vaidya , Stephen Poole

Handwriting Recognition enables a person to scribble something on a piece of paper and then convert it into text. If we look into the practical reality there are enumerable styles in which a character may be written. These styles can be…

Computer Vision and Pattern Recognition · Computer Science 2010-04-20 Rahul Kala , Harsh Vazirani , Anupam Shukla , Ritu Tiwari

We present a data-driven framework to automate the vectorization and machine interpretation of 2D engineering part drawings. In industrial settings, most manufacturing engineers still rely on manual reads to identify the topological and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Wentai Zhang , Joe Joseph , Yue Yin , Liuyue Xie , Tomotake Furuhata , Soji Yamakawa , Kenji Shimada , Levent Burak Kara

Graphs serve as generic tools to encode the underlying relational structure of data. Often this graph is not given, and so the task of inferring it from nodal observations becomes important. Traditional approaches formulate a convex inverse…

Machine Learning · Computer Science 2024-06-24 Max Wasserman , Gonzalo Mateos

This paper presents a graph signal processing algorithm to uncover the intrinsic low-rank components and the underlying graph of a high-dimensional, graph-smooth and grossly-corrupted dataset. In our problem formulation, we assume that the…

Image and Video Processing · Electrical Eng. & Systems 2018-01-09 Rui Liu , Hossein Nejati , Ngai-Man Cheung

Graph data is ubiquitous in the physical world, and it has always been a challenge to efficiently model graph structures using a unified paradigm for the understanding and reasoning on various graphs. Moreover, in the era of large language…

Artificial Intelligence · Computer Science 2023-12-19 Qihang Ai , Jianwu Zhou , Haiyun Jiang , Lemao Liu , Shuming Shi

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

Graph-based text representation focuses on how text documents are represented as graphs for exploiting dependency information between tokens and documents within a corpus. Despite the increasing interest in graph representation learning,…

Computation and Language · Computer Science 2022-10-13 Wenzhe Li , Nikolaos Aletras

Graph neural networks are promising architecture for learning and inference with graph-structured data. Yet difficulties in modelling the ``parts'' and their ``interactions'' still persist in terms of graph classification, where graph-level…

Machine Learning · Computer Science 2020-06-30 Kai Zhang , Yaokang Zhu , Jun Wang , Jie Zhang , Hongyuan Zha

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

The remarkable growth and significant success of machine learning have expanded its applications into programming languages and program analysis. However, a key challenge in adopting the latest machine learning methods is the representation…

Programming Languages · Computer Science 2023-12-01 Ali TehraniJamsaz , Quazi Ishtiaque Mahmud , Le Chen , Nesreen K. Ahmed , Ali Jannesari

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Graph analytics elicits insights from large graphs to inform critical decisions for business, safety and security. Several large-scale graph processing frameworks feature efficient runtime systems; however, they often provide programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Farzin Houshmand , Mohsen Lesani , Keval Vora

Machine learning on graph structured data has attracted much research interest due to its ubiquity in real world data. However, how to efficiently represent graph data in a general way is still an open problem. Traditional methods use…

Machine Learning · Computer Science 2019-11-14 Jiaqi Ma , Qiaozhu Mei