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Related papers: Indirect Identification of Horizontal Gene Transfe…

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This paper provides a new strategy for the Heterogeneous Change Detection (HCD) problem: solving HCD from the perspective of Graph Signal Processing (GSP). We construct a graph for each image to capture the structure information, and treat…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

In the absence of horizontal gene transfer it is possible to reconstruct the history of gene families from empirically determined orthology relations, which are equivalent to event-labeled gene trees. Knowledge of the event labels…

Discrete Mathematics · Computer Science 2017-05-08 Nikolai Nøjgaard , Manuela Geiß , Peter F. Stadler , Daniel Merkle , Nicolas Wieseke , Marc Hellmuth

Pairwise compatibility graphs (PCGs) with non-negative integer edge weights recently have been used to describe rare evolutionary events and scenarios with horizontal gene transfer. Here we consider the case that vertices are separated by…

Combinatorics · Mathematics 2020-05-26 Yangjing Long , Peter F. Stadler

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Graph coloring is one of the most famous computational problems with applications in a wide range of areas such as planning and scheduling, resource allocation, and pattern matching. So far coloring problems are mostly studied on static…

Discrete Mathematics · Computer Science 2019-06-12 George B. Mertzios , Hendrik Molter , Viktor Zamaraev

Fitch graphs $G=(X,E)$ are digraphs that are explained by $\{\emptyset, 1\}$-edge-labeled rooted trees $T$ with leaf set $X$: there is an arc $(x,y) \in E$ if and only if the unique path in $T$ that connects the last common ancestor…

Discrete Mathematics · Computer Science 2021-10-19 Marc Hellmuth , Carsten R. Seemann , Peter F. Stadler

In many applications of finance, biology and sociology, complex systems involve entities interacting with each other. These processes have the peculiarity of evolving over time and of comprising latent factors, which influence the system…

Machine Learning · Statistics 2018-08-03 Federico Tomasi , Veronica Tozzo , Saverio Salzo , Alessandro Verri

Latent Graph Inference (LGI) relaxed the reliance of Graph Neural Networks (GNNs) on a given graph topology by dynamically learning it. However, most of LGI methods assume to have a (noisy, incomplete, improvable, ...) input graph to rewire…

Machine Learning · Computer Science 2023-08-04 Claudio Battiloro , Indro Spinelli , Lev Telyatnikov , Michael Bronstein , Simone Scardapane , Paolo Di Lorenzo

Many real-world problems are naturally modeled as heterogeneous graphs, where nodes and edges represent multiple types of entities and relations. Existing learning models for heterogeneous graph representation usually depend on the…

Event Detection (ED) aims to recognize instances of specified types of event triggers in text. Different from English ED, Chinese ED suffers from the problem of word-trigger mismatch due to the uncertain word boundaries. Existing approaches…

Computation and Language · Computer Science 2023-01-05 Shiyao Cui , Bowen Yu , Xin Cong , Tingwen Liu , Quangang Li , Jinqiao Shi

Persistent homology is a cornerstone of topological data analysis, offering a multiscale summary of topology with robustness to nuisance transformations, such as rotations and small deformations. Persistent homology has seen broad use…

Methodology · Statistics 2025-11-19 Zitian Wu , Arkaprava Roy , Leo L. Duan

Fitch graphs $G=(X,E)$ are di-graphs that are explained by $\{\otimes,1\}$-edge-labeled rooted trees with leaf set $X$: there is an arc $xy\in E$ if and only if the unique path in $T$ that connects the least common ancestor…

Discrete Mathematics · Computer Science 2018-04-26 Marc Hellmuth

Large language models (LLMs) have presented significant opportunities to enhance various machine learning applications, including graph neural networks (GNNs). By leveraging the vast open-world knowledge within LLMs, we can more effectively…

Machine Learning · Computer Science 2025-02-18 Yuxia Wu , Shujie Li , Yuan Fang , Chuan Shi

Label Distribution Learning (LDL) is an effective approach for handling label ambiguity, as it can analyze all labels at once and indicate the extent to which each label describes a given sample. Most existing LDL methods consider the…

Machine Learning · Computer Science 2024-11-21 Ziqi Jia , Xiaoyang Qu , Chenghao Liu , Jianzong Wang

Representation learning in dynamic graphs is a challenging problem because the topology of graph and node features vary at different time. This requires the model to be able to effectively capture both graph topology information and…

Machine Learning · Computer Science 2021-11-16 Xintao Xiang , Tiancheng Huang , Donglin Wang

In this paper, we introduce a generalization of graphlets to heterogeneous networks called typed graphlets. Informally, typed graphlets are small typed induced subgraphs. Typed graphlets generalize graphlets to rich heterogeneous networks…

Social and Information Networks · Computer Science 2020-10-28 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Complex networks are pervasive in the real world, capturing dyadic interactions between pairs of vertices, and a large corpus has emerged on their mining and modeling. However, many phenomena are comprised of polyadic interactions between…

Discrete Mathematics · Computer Science 2021-02-01 Natalie C. Behague , Anthony Bonato , Melissa A. Huggan , Rehan Malik , Trent G. Marbach

This paper explores the application of a new algebraic method of color exchanges to the edge coloring of simple graphs. Vizing's theorem states that the edge coloring of a simple graph $G$ requires either $\Delta$ or $\Delta+1$ colors,…

Data Structures and Algorithms · Computer Science 2011-04-12 Tony T. Lee , Yujie Wan , Hao Guan

Vulnerability detection is a critical problem in software security and attracts growing attention both from academia and industry. Traditionally, software security is safeguarded by designated rule-based detectors that heavily rely on…

Software Engineering · Computer Science 2024-06-07 Tiehua Zhang , Rui Xu , Jianping Zhang , Yuze Liu , Xin Chen , Jun Yin , Xi Zheng

Most networks tend to show complex and multiple relationships between entities. Networks are usually modeled by graphs or hypergraphs; nonetheless a given entity can occur many times in a relationship: this brings the need to deal with…

Data Structures and Algorithms · Computer Science 2019-05-30 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet