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De Bruijn graphs are essential for sequencing data analysis and must be efficiently constructed and stored for large-scale population studies. They also need to be dynamic to allow updates such as adding or removing edges and nodes.…

数据结构与算法 · 计算机科学 2024-06-19 Riccardo Nigrelli

The subgraph isomorphism finding problem is a well-studied problem in the field of computer science and graph theory, and it aims to enumerate all instances of a query graph in the respective data graph. In this paper, we propose an…

数据库 · 计算机科学 2023-12-07 Zubair Ali Ansari , Muhammad Abulaish , Irfan Rashid Thoker , Jahiruddin

Recently, Marcus et al. (Bioinformatics 2014) proposed to use a compressed de Bruijn graph to describe the relationship between the genomes of many individuals/strains of the same or closely related species. They devised an $O(n \log g)$…

数据结构与算法 · 计算机科学 2016-02-11 Timo Beller , Enno Ohlebusch

Message-passing graph neural networks (GNNs) excel at capturing local relationships but struggle with long-range dependencies in graphs. In contrast, graph transformers (GTs) enable global information exchange but often oversimplify the…

机器学习 · 计算机科学 2024-10-08 Dexiong Chen , Till Hendrik Schulz , Karsten Borgwardt

Graph reordering is a powerful technique to increase the locality of the representations of graphs, which can be helpful in several applications. We study how the technique can be used to improve compression of graphs and inverted indexes.…

数据结构与算法 · 计算机科学 2017-09-04 Laxman Dhulipala , Igor Kabiljo , Brian Karrer , Giuseppe Ottaviano , Sergey Pupyrev , Alon Shalita

A common task in computational text analyses is to quantify how two corpora differ according to a measurement like word frequency, sentiment, or information content. However, collapsing the texts' rich stories into a single number is often…

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

机器学习 · 计算机科学 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

Recent breakthroughs in cancer research have come via the up-and-coming field of pathway analysis. By applying statistical methods to prior known gene and protein regulatory information, pathway analysis provides a meaningful way to…

基因组学 · 定量生物学 2017-10-11 Yue Zhao

Graphs have been extensively used to represent data from various domains. In the era of Big Data, information is being generated at a fast pace, and analyzing the same is a challenge. Various methods have been proposed to speed up the…

信息论 · 计算机科学 2018-06-26 Rushabh Jitendrakumar Shah

We consider the problem of classifying graphs using graph kernels. We define a new graph kernel, called the generalized shortest path kernel, based on the number and length of shortest paths between nodes. For our example classification…

数据结构与算法 · 计算机科学 2015-11-20 Linus Hermansson , Fredrik D. Johansson , Osamu Watanabe

We argue that Transformers are essentially graph-to-graph models, with sequences just being a special case. Attention weights are functionally equivalent to graph edges. Our Graph-to-Graph Transformer architecture makes this ability…

计算与语言 · 计算机科学 2023-10-30 James Henderson , Alireza Mohammadshahi , Andrei C. Coman , Lesly Miculicich

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,…

信息论 · 计算机科学 2021-10-05 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang , Andras Bratincsak

Cartograms are a technique for visually representing geographically distributed statistical data, where values of a numerical attribute are mapped to the size of geographic regions. Contiguous cartograms preserve the adjacencies of the…

计算几何 · 计算机科学 2026-04-16 Vladimir Molchanov , Hennes Rave , Lars Linsen

Graphs with diverse structural characteristics play a central role in modelling and optimization tasks. The ability to generate different types of graphs that exhibit shared properties is likewise essential for algorithm selection and…

神经与进化计算 · 计算机科学 2026-03-31 Hendrik Richter , Frank Neumann

The development of Graph Neural Networks (GNNs) has led to great progress in machine learning on graph-structured data. These networks operate via diffusing information across the graph nodes while capturing the structure of the graph.…

机器学习 · 计算机科学 2021-01-05 Shiv Shankar , Don Towsley

In recent years, tasks of machine learning ranging from image processing & audio/video analysis to natural language understanding have been transformed by deep learning. The data content in all these scenarios are expressed via Euclidean…

机器学习 · 计算机科学 2023-11-07 Adil Mudasir Malla , Asif Ali Banka

The variant graph is a new, hybrid algorithm that combines the strengths of established global grain graph and local neighbor level voting approaches, while alleviating their shortcomings, to reconstruct parent grains from orientation maps…

材料科学 · 物理学 2022-01-07 Ralf Hielscher , Tuomo Nyyssönen , Frank Niessen , Azdiar A. Gazder

As powerful tools for representation learning on graphs, graph neural networks (GNNs) have facilitated various applications from drug discovery to recommender systems. Nevertheless, the effectiveness of GNNs is immensely challenged by…

机器学习 · 计算机科学 2023-02-28 Wei Jin , Tong Zhao , Jiayuan Ding , Yozen Liu , Jiliang Tang , Neil Shah

Many polynomial invariants are defined on graphs for encoding the combinatorial information and researching them algebraically. In this paper, we introduce the cycle polynomial and the path polynomial of directed graphs for counting cycles…

离散数学 · 计算机科学 2017-12-05 Xiangying Chen

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

数据结构与算法 · 计算机科学 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche