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Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

Machine Learning · Computer Science 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Earlier formulations of the DNA assembly problem were all in the context of perfect assembly; i.e., given a set of reads from a long genome sequence, is it possible to perfectly reconstruct the original sequence? In practice, however, it is…

Information Theory · Computer Science 2016-05-09 Ilan Shomorony , Govinda M. Kamath , Fei Xia , Thomas A. Courtade , David N. Tse

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

Haplotype-resolved de novo assembly is the ultimate solution to the study of sequence variations in a genome. However, existing algorithms either collapse heterozygous alleles into one consensus copy or fail to cleanly separate the…

Genomics · Quantitative Biology 2021-02-03 Haoyu Cheng , Gregory T Concepcion , Xiaowen Feng , Haowen Zhang , Heng Li

The reassembling of a simple connected graph G = (V,E) is an abstraction of a problem arising in earlier studies of network analysis. The reassembling process has a simple formulation (there are several equivalent formulations) relative to…

Computational Complexity · Computer Science 2016-02-10 Saber Mirzaei , Assaf Kfoury

Sampling methods (e.g., node-wise, layer-wise, or subgraph) has become an indispensable strategy to speed up training large-scale Graph Neural Networks (GNNs). However, existing sampling methods are mostly based on the graph structural…

Machine Learning · Computer Science 2021-09-07 Weilin Cong , Rana Forsati , Mahmut Kandemir , Mehrdad Mahdavi

DNA sequencing is the process of determining the exact order of the nucleotide bases of an individual's genome in order to catalogue sequence variation and understand its biological implications. Whole-genome sequencing techniques produce…

Data Structures and Algorithms · Computer Science 2015-09-18 Ljiljana Brankovic , Costas S. Iliopoulos , Ritu Kundu , Manal Mohamed , Solon P. Pissis , Fatima Vayani

Given a graph $G$, the maximal induced subgraphs problem asks to enumerate all maximal induced subgraphs of $G$ that belong to a certain hereditary graph class. While its optimization version, known as the minimum vertex deletion problem in…

Data Structures and Algorithms · Computer Science 2020-04-22 Yixin Cao

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

Heterogeneous graph neural networks (HGNNs) have powerful capability to embed rich structural and semantic information of a heterogeneous graph into node representations. Existing HGNNs inherit many mechanisms from graph neural networks…

Machine Learning · Computer Science 2023-09-04 Xiaocheng Yang , Mingyu Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan

Background - The process of generating raw genome sequence data continues to become cheaper, faster, and more accurate. However, assembly of such data into high-quality, finished genome sequences remains challenging. Many genome assembly…

Genomics · Quantitative Biology 2015-02-02 Keith R. Bradnam , Joseph N. Fass , Anton Alexandrov , Paul Baranay , Michael Bechner , İnanç Birol , Sébastien Boisvert , Jarrod A. Chapman , Guillaume Chapuis , Rayan Chikhi , Hamidreza Chitsaz , Wen-Chi Chou , Jacques Corbeil , Cristian Del Fabbro , T. Roderick Docking , Richard Durbin , Dent Earl , Scott Emrich , Pavel Fedotov , Nuno A. Fonseca , Ganeshkumar Ganapathy , Richard A. Gibbs , Sante Gnerre , Élénie Godzaridis , Steve Goldstein , Matthias Haimel , Giles Hall , David Haussler , Joseph B. Hiatt , Isaac Y. Ho , Jason Howard , Martin Hunt , Shaun D. Jackman , David B Jaffe , Erich Jarvis , Huaiyang Jiang , Sergey Kazakov , Paul J. Kersey , Jacob O. Kitzman , James R. Knight , Sergey Koren , Tak-Wah Lam , Dominique Lavenier , François Laviolette , Yingrui Li , Zhenyu Li , Binghang Liu , Yue Liu , Ruibang Luo , Iain MacCallum , Matthew D MacManes , Nicolas Maillet , Sergey Melnikov , Bruno Miguel Vieira , Delphine Naquin , Zemin Ning , Thomas D. Otto , Benedict Paten , Octávio S. Paulo , Adam M. Phillippy , Francisco Pina-Martins , Michael Place , Dariusz Przybylski , Xiang Qin , Carson Qu , Filipe J Ribeiro , Stephen Richards , Daniel S. Rokhsar , J. Graham Ruby , Simone Scalabrin , Michael C. Schatz , David C. Schwartz , Alexey Sergushichev , Ted Sharpe , Timothy I. Shaw , Jay Shendure , Yujian Shi , Jared T. Simpson , Henry Song , Fedor Tsarev , Francesco Vezzi , Riccardo Vicedomini , Jun Wang , Kim C. Worley , Shuangye Yin , Siu-Ming Yiu , Jianying Yuan , Guojie Zhang , Hao Zhang , Shiguo Zhou , Ian F. Korf

Classical graph algorithms work well for combinatorial problems that can be thoroughly formalized and abstracted. Once the algorithm is derived, it generalizes to instances of any size. However, developing an algorithm that handles complex…

Machine Learning · Computer Science 2022-12-12 Florian Grötschla , Joël Mathys , Roger Wattenhofer

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Graphs are a useful abstraction of image content. Not only can graphs represent details about individual objects in a scene but they can capture the interactions between pairs of objects. We present a method for training a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Alejandro Newell , Jia Deng

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

Motivated by the question of how macromolecules assemble, the notion of an {\it assembly tree} of a graph is introduced. Given a graph $G$, the paper is concerned with enumerating the number of assembly trees of $G$, a problem that applies…

Combinatorics · Mathematics 2012-04-18 Andrew Vince , Miklos Bona

We propose an assembly algorithm {\sc Barnacle} for sequences generated by the clone-based approach. We illustrate our approach by assembling the human genome. Our novel method abandons the original physical-mapping-first framework. As we…

Data Structures and Algorithms · Computer Science 2007-05-23 Vicky Choi , Martin Farach-Colton