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In this paper we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transform proposed in [1], and it is defined via a hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Idan Ram , Michael Elad , Israel Cohen

Graph databases have become essential tools for managing complex and interconnected data, which is common in areas like social networks, bioinformatics, and recommendation systems. Unlike traditional relational databases, graph databases…

Databases · Computer Science 2026-02-24 Miguel E. Coimbra , Lucie Svitáková , Domagoj Vrgoč , Alexandre P. Francisco , Luís Veiga

Knowledge graphs have garnered significant research attention and are widely used to enhance downstream applications. However, most current studies mainly focus on static knowledge graphs, whose facts do not change with time, and disregard…

Computation and Language · Computer Science 2024-03-11 Li Cai , Xin Mao , Yuhao Zhou , Zhaoguang Long , Changxu Wu , Man Lan

Research on graph representation learning has received a lot of attention in recent years since many data in real-world applications come in form of graphs. High-dimensional graph data are often in irregular form, which makes them more…

Machine Learning · Computer Science 2020-06-03 Fenxiao Chen , Yuncheng Wang , Bin Wang , C. -C. Jay Kuo

This paper addresses the problem of traffic prediction in distributed backend systems and proposes a graph neural network based modeling approach to overcome the limitations of traditional models in capturing complex dependencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Zhimin Qiu , Feng Liu , Yuxiao Wang , Chenrui Hu , Ziyu Cheng , Di Wu

Node-link diagrams are widely used to visualize graphs. Most graph layout algorithms only use graph topology for aesthetic goals (e.g., minimize node occlusions and edge crossings) or use node attributes for exploration goals (e.g.,…

Data Structures and Algorithms · Computer Science 2023-01-20 Leixian Shen , Zhiwei Tai , Enya Shen , Jianmin Wang

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

Artificial Intelligence · Computer Science 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Recent advances in the integration of deep learning with automated theorem proving have centered around the representation of logical formulae as inputs to deep learning systems. In particular, there has been a growing interest in adapting…

Artificial Intelligence · Computer Science 2020-06-08 Maxwell Crouse , Ibrahim Abdelaziz , Cristina Cornelio , Veronika Thost , Lingfei Wu , Kenneth Forbus , Achille Fokoue

Heterogeneous graph neural networks (HGNNs) have demonstrated strong capability in modeling complex semantics across multi-type nodes and relations. However, their scalability to large-scale graphs remains challenging due to structural…

Machine Learning · Computer Science 2025-12-12 Fuyan Ou , Siqi Ai , Yulin Hu

Graph representation learning is a fundamental task in various applications that strives to learn low-dimensional embeddings for nodes that can preserve graph topology information. However, many existing methods focus on static graphs while…

Machine Learning · Computer Science 2020-11-09 Jingxin Liu , Chang Xu , Chang Yin , Weiqiang Wu , You Song

Patterns stored within pre-trained deep neural networks compose large and powerful descriptive languages that can be used for many different purposes. Typically, deep network representations are implemented within vector embedding spaces,…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Dario Garcia-Gasulla , Armand Vilalta , Ferran Parés , Jonatan Moreno , Eduard Ayguadé , Jesus Labarta , Ulises Cortés , Toyotaro Suzumura

In recent years studying the content of the World Wide Web became a very important yet rather difficult task. There is a need for a compression technique that would allow a web graph representation to be put into the memory while…

Data Structures and Algorithms · Computer Science 2013-05-02 Filip Proborszcz

Earth science datasets are growing rapidly in both volume and structural complexity. They increasingly contain richly labelled data with heterogeneous metadata and complex internal constraints that impose dependencies between variables and…

Databases · Computer Science 2026-03-12 Mathilde Leuridan , James Hawkes , Tiago Quintino , Martin Schultz

Many multivariate data such as social and biological data exhibit complex dependencies that are best characterized by graphs. Unlike sequential data, graphs are, in general, unordered structures. This means we can no longer use classic,…

Information Theory · Computer Science 2021-10-05 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang , Andras Bratincsak

The value proposition of a dataset often resides in the implicit interconnections or explicit relationships (patterns) among individual entities, and is often modeled as a graph. Effective visualization of such graphs can lead to key…

Databases · Computer Science 2017-02-14 Yang Zhang , Yusu Wang , Srinivasan Parthasarathy

Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction of large volumes of data embedded in high dimensional…

Algebraic Topology · Mathematics 2019-09-30 Yossi Bokor , Daniel Grixti-Cheng , Markus Hegland , Stephen Roberts , Katharine Turner

We propose a new approach to querying graph databases. Our approach balances competing goals of expressive power, language clarity and computational complexity. A distinctive feature of our approach is the ability to express properties of…

Logic in Computer Science · Computer Science 2023-06-22 Jakub Michaliszyn , Jan Otop , Piotr Wieczorek

Data lakes, increasingly adopted for their ability to store and analyze diverse types of data, commonly use columnar storage formats like Parquet and ORC for handling relational tables. However, these traditional setups fall short when it…

Databases · Computer Science 2024-09-26 Xue Li , Weibin Zeng , Zhibin Wang , Diwen Zhu , Jingbo Xu , Wenyuan Yu , Jingren Zhou

A graph database is a database where the data structures for the schema and/or instances are modeled as a (labeled)(directed) graph or generalizations of it, and where querying is expressed by graph-oriented operations and type…

Databases · Computer Science 2019-07-23 Renzo Angles , Claudio Gutierrez

Learning community structures in graphs has broad applications across scientific domains. While graph neural networks (GNNs) have been successful in encoding graph structures, existing GNN-based methods for community detection are limited…

Machine Learning · Statistics 2024-08-05 Yueqi Wang , Yoonho Lee , Pallab Basu , Juho Lee , Yee Whye Teh , Liam Paninski , Ari Pakman