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A heterogeneous graph consists of different vertices and edges types. Learning on heterogeneous graphs typically employs meta-paths to deal with the heterogeneity by reducing the graph to a homogeneous network, guide random walks or capture…

Machine Learning · Statistics 2023-03-06 See Hian Lee , Feng Ji , Wee Peng Tay

Graph models are widely used to analyse diffusion processes embedded in social contacts and to develop applications. A range of graph models are available to replicate the underlying social structures and dynamics realistically. However,…

Social and Information Networks · Computer Science 2018-07-27 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank de Hoog

An (h,s,t)-representation of a graph G consists of a collection of subtrees of a tree T, where each subtree corresponds to a vertex of G such that (i) the maximum degree of T is at most h, (ii) every subtree has maximum degree at mots s,…

Combinatorics · Mathematics 2011-12-15 Liliana Alcón , Marisa Gutierrez , María Pía Mazzoleni

We study the problem of end-to-end learning from complex multigraphs with potentially very large numbers of edges between two vertices, each edge labeled with rich information. Examples range from communication networks to flights between…

Machine Learning · Statistics 2021-01-26 Floris Hermsen , Peter Bloem , Fabian Jansen , Wolf Vos

Inferencing Gene Regulatory Networks (GRNs) from gene expression data is a pivotal challenge in systems biology, and several innovative computational methods have been introduced. However, most of these studies have not considered the…

Quantitative Methods · Quantitative Biology 2025-01-10 Jiaqi Xiong , Nan Yin , Shiyang Liang , Haoyang Li , Yingxu Wang , Duo Ai , Fang Pan , Jingjie Wang

A graph $G$ is a \emph{max point-tolerance (MPT)} graph if each vertex $v$ of $G$ can be mapped to a \emph{pointed-interval} $(I_v, p_v)$ where $I_v$ is an interval of $\mathbb{R}$ and $p_v \in I_v$ such that $uv$ is an edge of $G$ iff $I_u…

A novel graph-to-tree conversion mechanism called the deep-tree generation (DTG) algorithm is first proposed to predict text data represented by graphs. The DTG method can generate a richer and more accurate representation for nodes (or…

Computation and Language · Computer Science 2018-09-06 Fenxiao Chen , Bin Wang , C. -C. Jay Kuo

We consider vertex coloring of an acyclic digraph $\Gdag$ in such a way that two vertices which have a common ancestor in $\Gdag$ receive distinct colors. Such colorings arise in a natural way when bounding space for various genetic data…

Combinatorics · Mathematics 2007-06-12 Geir Agnarsson , Agust Egilsson , Magnus Mar Halldorsson

Binary relations derived from labeled rooted trees play an import role in mathematical biology as formal models of evolutionary relationships. The (symmetrized) Fitch relation formalizes xenology as the pairs of genes separated by at least…

Discrete Mathematics · Computer Science 2023-06-22 Marc Hellmuth , Carsten R. Seemann , Peter F. Stadler

Multivariate time series anomaly detection has become an active area of research in recent years, with Deep Learning models outperforming previous approaches on benchmark datasets. Among reconstruction-based models, most previous work has…

Machine Learning · Computer Science 2022-02-28 Cristian Challu , Peihong Jiang , Ying Nian Wu , Laurent Callot

Heterogeneous graphs have multiple node and edge types and are semantically richer than homogeneous graphs. To learn such complex semantics, many graph neural network approaches for heterogeneous graphs use metapaths to capture multi-hop…

Machine Learning · Computer Science 2022-07-26 See Hian Lee , Feng Ji , Wee Peng Tay

The problem of inferring unknown graph edges from numerical data at a graph's nodes appears in many forms across machine learning. We study a version of this problem that arises in the field of \emph{landscape genetics}, where genetic…

Machine Learning · Computer Science 2021-03-11 Prathamesh Dharangutte , Christopher Musco

In a short article submitted to ArXiv [1], Maddamsetti et al. argue that the variation in the neutral mutation rate among genes in Escherichia coli that we recently reported [2] might be explained by horizontal gene transfer (HGT). To…

Populations and Evolution · Quantitative Biology 2012-11-08 Inigo Martincorena , Nicholas M. Luscombe

The present paper studies local distributed graph problems in highly dynamic networks. Communication and changes of the graph happen in synchronous rounds and our algorithms always, i.e., in every round, satisfy non-trivial guarantees, no…

Data Structures and Algorithms · Computer Science 2018-12-10 Philipp Bamberger , Fabian Kuhn , Yannic Maus

Graph neural networks (GNNs) have been broadly studied on dynamic graphs for their representation learning, majority of which focus on graphs with homogeneous structures in the spatial domain. However, many real-world graphs - i.e.,…

Machine Learning · Computer Science 2021-10-27 Yujie Fan , Mingxuan Ju , Chuxu Zhang , Liang Zhao , Yanfang Ye

Directed cographs (di-cographs) play a crucial role in the reconstruction of evolutionary histories of genes based on homology relations which are binary relations between genes. A variety of methods based on pairwise sequence comparisons…

Discrete Mathematics · Computer Science 2018-05-04 Nikolai Nøjgaard , Nadia El-Mabrouk , Daniel Merkle , Nikolas Wieseke , Marc Hellmuth

Dynamic Text-Attributed Graphs (DyTAGs) have numerous real-world applications, e.g. social, collaboration, citation, communication, and review networks. In these networks, nodes and edges often contain text descriptions, and the graph…

Machine Learning · Computer Science 2025-02-18 Amit Roy , Ning Yan , Masood Mortazavi

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

Social and Information Networks · Computer Science 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

We consider Heterogeneous Transfer Learning (HTL) from a source to a new target domain for high-dimensional regression with differing feature sets. Most homogeneous TL methods assume that target and source domains share the same feature…

Machine Learning · Statistics 2025-12-02 Jae Ho Chang , Massimiliano Russo , Subhadeep Paul

Can neural networks learn to compare graphs without feature engineering? In this paper, we show that it is possible to learn representations for graph similarity with neither domain knowledge nor supervision (i.e.\ feature engineering or…

Machine Learning · Computer Science 2019-04-23 Rami Al-Rfou , Dustin Zelle , Bryan Perozzi