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Recently there has been increasing interest in developing and deploying deep graph learning algorithms for many tasks, such as fraud detection and recommender systems. Albeit, there is a limited number of publicly available graph-structured…

Machine Learning · Computer Science 2023-10-06 Sajad Darabi , Piotr Bigaj , Dawid Majchrowski , Artur Kasymov , Pawel Morkisz , Alex Fit-Florea

Graph condensation, which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has immediate benefits for various graph learning tasks. However, existing graph condensation methods rely…

Machine Learning · Computer Science 2023-10-24 Xin Zheng , Miao Zhang , Chunyang Chen , Quoc Viet Hung Nguyen , Xingquan Zhu , Shirui Pan

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Graph similarity learning, crucial for tasks such as graph classification and similarity search, focuses on measuring the similarity between two graph-structured entities. The core challenge in this field is effectively managing the…

Information Retrieval · Computer Science 2025-02-26 Zenghui Chang , Yiqiao Zhang , Hong Cai Chen

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

This paper proposes a scalable algorithmic framework for spectral reduction of large undirected graphs. The proposed method allows computing much smaller graphs while preserving the key spectral (structural) properties of the original…

Data Structures and Algorithms · Computer Science 2018-12-24 Zhiqiang Zhao , Yongyu Wang , Zhuo Feng

Revealing hidden geometry and topology in noisy data sets is a challenging task. Elastic principal graph is a computationally efficient and flexible data approximator based on embedding a graph into the data space and minimizing the energy…

Data Structures and Algorithms · Computer Science 2019-09-25 A. N. Gorban , E. M. Mirkes , A. Zinovyev

Graph Neural Networks (GNNs) have demonstrated promising performance in graph analysis. Nevertheless, the inference process of GNNs remains costly, hindering their applications for large graphs. This paper proposes inference-friendly graph…

Machine Learning · Computer Science 2025-05-13 Yangxin Fan , Haolai Che , Yinghui Wu

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

Processing very large graphs like social networks, biological and chemical compounds is a challenging task. Distributed graph processing systems process the billion-scale graphs efficiently but incur overheads of efficient partitioning and…

Data Structures and Algorithms · Computer Science 2014-01-13 Kamran Najeebullah , Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

In graph sparsification, the goal has almost always been of {global} nature: compress a graph into a smaller subgraph ({sparsifier}) that maintains certain features of the original graph. Algorithms can then run on the sparsifier, which in…

Data Structures and Algorithms · Computer Science 2021-05-06 Shay Solomon

Graph Neural Networks (GNNs) are emerging ML models to analyze graph-structure data. Graph Neural Network (GNN) execution involves both compute-intensive and memory-intensive kernels, the latter dominates the total time, being significantly…

Important graph mining problems such as Clustering are computationally demanding. To significantly accelerate these problems, we propose ProbGraph: a graph representation that enables simple and fast approximate parallel graph mining with…

Locally-biased graph algorithms are algorithms that attempt to find local or small-scale structure in a large data graph. In some cases, this can be accomplished by adding some sort of locality constraint and calling a traditional graph…

Social and Information Networks · Computer Science 2016-12-06 Kimon Fountoulakis , David Gleich , Michael Mahoney

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

Social and Information Networks · Computer Science 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

Non-volatile main memory (NVRAM) technologies provide an attractive set of features for large-scale graph analytics, including byte-addressability, low idle power, and improved memory-density. NVRAM systems today have an order of magnitude…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Laxman Dhulipala , Charlie McGuffey , Hongbo Kang , Yan Gu , Guy E. Blelloch , Phillip B. Gibbons , Julian Shun

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

The extremum graph is a succinct representation of the Morse decomposition of a scalar field. It has increasingly become a useful data structure that supports topological feature directed visualization of 2D / 3D scalar fields, and enables…

Graphics · Computer Science 2023-11-07 Abhijath Ande , Varshini Subhash , Vijay Natarajan

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas