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We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

Quantitative Methods · Quantitative Biology 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Slow feature analysis (SFA) is an unsupervised learning algorithm that extracts slowly varying features from a time series. Graph-based SFA (GSFA) is a supervised extension that can solve regression problems if followed by a post-processing…

Artificial Intelligence · Computer Science 2015-09-29 Alberto N. Escalante-B. , Laurenz Wiskott

Genetic algorithms have played an important role in engineering optimization. Traditional GAs treat each gene separately. However, biophysical studies of gene regulatory networks revealed direct associations between different genes. It…

Neural and Evolutionary Computing · Computer Science 2024-05-01 Zhaoning Shi , Meng Xiang , Zhaoyang Hai , Xiabi Liu , Yan Pei

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

Databases · Computer Science 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be…

Signal Processing · Electrical Eng. & Systems 2019-11-11 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

Graph neural networks (GNNs) are gaining increasing popularity as a promising approach to machine learning on graphs. Unlike traditional graph workloads where each vertex/edge is associated with a scalar, GNNs attach a feature tensor to…

Machine Learning · Computer Science 2020-09-30 Yuwei Hu , Zihao Ye , Minjie Wang , Jiali Yu , Da Zheng , Mu Li , Zheng Zhang , Zhiru Zhang , Yida Wang

With small-scale quantum processors transitioning from experimental physics labs to industrial products, these processors allow us to efficiently compute important algorithms in various fields. In this paper, we propose a quantum algorithm…

Quantum Physics · Physics 2020-05-22 Aritra Sarkar , Zaid Al-Ars , Carmen G. Almudever , Koen Bertels

Efficiently finding subgraph embeddings in large graphs is crucial for many application areas like biology and social network analysis. Set intersections are the predominant and most challenging aspect of current join-based subgraph query…

Databases · Computer Science 2024-02-28 Jonas Dann , Tobias Götz , Daniel Ritter , Jana Giceva , Holger Fröning

\textbf{G}raph \textbf{C}onvolutional \textbf{N}etwork (\textbf{GCN}) is widely used in graph data learning tasks such as recommendation. However, when facing a large graph, the graph convolution is very computationally expensive thus is…

Machine Learning · Computer Science 2021-01-19 Wenhui Yu , Zheng Qin

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

In genomics, pattern matching against a sequence of nucleotides plays a pivotal role for DNA sequence alignment and comparing genomes. This helps tackling some diseases, such as cancer in humans. The complexity of searching biological…

Quantitative Methods · Quantitative Biology 2017-10-04 Fereshte Mozafari , Hossein Babashah , Somayyeh Koohi , Zahra Kavehvash

Subgraph matching is a basic operation widely used in many applications. However, due to its NP-hardness and the explosive growth of graph data, it is challenging to compute subgraph matching, especially in large graphs. In this paper, we…

Databases · Computer Science 2021-02-25 Xin Jin , Zhengyi Yang , Xuemin Lin , Shiyu Yang , Lu Qin , You Peng

Graph algorithms are key tools in many fields of science and technology. Some of these algorithms depend on propagating information between distant nodes in a graph. Recently, there have been a number of deep learning architectures proposed…

Machine Learning · Computer Science 2018-10-30 Matthew K. Matlock , Arghya Datta , Na Le Dang , Kevin Jiang , S. Joshua Swamidass

It is challenging for generative models to learn a distribution over graphs because of the lack of permutation invariance: nodes may be ordered arbitrarily across graphs, and standard graph alignment is combinatorial and notoriously…

Social and Information Networks · Computer Science 2023-01-27 Kimia Shayestehfard , Dana Brooks , Stratis Ioannidis

In view of the huge success of convolution neural networks (CNN) for image classification and object recognition, there have been attempts to generalize the method to general graph-structured data. One major direction is based on spectral…

Machine Learning · Computer Science 2020-03-09 Feng Ji , Jielong Yang , Qiang Zhang , Wee Peng Tay

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi

Pairwise sequence alignment is one of the most computationally intensive kernels in genomic data analysis, accounting for more than 90% of the runtime for key bioinformatics applications. This method is particularly expensive for…

The mining of frequent subgraphs from labeled graph data has been studied extensively. Furthermore, much attention has recently been paid to frequent pattern mining from graph sequences. A method, called GTRACE, has been proposed to mine…

Databases · Computer Science 2015-05-30 Akihiro Inokuchi , Hiroaki Ikuta , Takashi Washio

Graph Neural Networks (GNNs) are proficient in graph representation learning and achieve promising performance on versatile tasks such as node classification and link prediction. Usually, a comprehensive hyperparameter tuning is essential…

Machine Learning · Computer Science 2024-10-10 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao