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We study homomorphism polynomials, which are polynomials that enumerate all homomorphisms from a pattern graph $H$ to $n$-vertex graphs. These polynomials have received a lot of attention recently for their crucial role in several new…

计算复杂性 · 计算机科学 2020-11-17 Balagopal Komarath , Anurag Pandey , C. S. Rahul

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

We introduce a series of graph decompositions based on the modulator/target scheme of modification problems that enable several algorithmic applications that parametrically extend the algorithmic potential of planarity. In the core of our…

数据结构与算法 · 计算机科学 2025-10-17 Fedor V. Fomin , Petr A. Golovach , Laure Morelle , Dimitrios M. Thilikos

Feature selection in Knowledge Graphs (KGs) are increasingly utilized in diverse domains, including biomedical research, Natural Language Processing (NLP), and personalized recommendation systems. This paper delves into the methodologies…

机器学习 · 计算机科学 2024-06-24 Sisi Shao , Pedro Henrique Ribeiro , Christina Ramirez , Jason H. Moore

The value proposition of a dataset often resides in the implicit interconnections or explicit relationships (patterns) among individual entities, and is often modeled as a graph. Effective visualization of such graphs can lead to key…

数据库 · 计算机科学 2017-02-14 Yang Zhang , Yusu Wang , Srinivasan Parthasarathy

In this paper we develop a theory describing how the extended Burrows-Wheeler Transform (eBWT) of a collection of DNA fragments tends to cluster together the copies of nucleotides sequenced from a genome G. Our theory accurately predicts…

数据结构与算法 · 计算机科学 2018-05-11 Nicola Prezza , Nadia Pisanti , Marinella Sciortino , Giovanna Rosone

Graph-based machine learning methods are useful tools in the identification and prediction of variation in genetic data. In particular, the comprehension of phenotypic effects at the cellular level is an accelerating research area in…

Graph Neural Networks (GNNs) have achieved remarkable success in diverse real-world applications. Traditional GNNs are designed based on homophily, which leads to poor performance under heterophily scenarios. Current solutions deal with…

社会与信息网络 · 计算机科学 2023-01-26 Fengzhao Shi , Ren Li , Yanan Cao , Yanmin Shang , Lanxue Zhang , Chuan Zhou , Jia Wu , Shirui Pan

This note describes a new approach to classifying graphs that leverages graph generative models (GGM). Assuming a GGM that defines a joint probability distribution over graphs and their class labels, I derive classification formulas for the…

机器学习 · 计算机科学 2023-07-25 Oliver Schulte

The study of genomic variation has provided key insights into the functional role of mutations. Predominantly, studies have focused on single nucleotide variants (SNV), which are relatively easy to detect and can be described with rich…

基因组学 · 定量生物学 2015-09-04 Daniel R. Zerbino , Tracy Ballinger , Benedict Paten , Glenn Hickey , David Haussler

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

离散数学 · 计算机科学 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Graph Gaussian Processes (GGPs) provide a data-efficient solution on graph structured domains. Existing approaches have focused on static structures, whereas many real graph data represent a dynamic structure, limiting the applications of…

机器学习 · 计算机科学 2021-11-04 David Blanco-Mulero , Markus Heinonen , Ville Kyrki

Knowledge Graphs (KG) allow to merge and connect heterogeneous data despite their differences; they are incomplete by design. Yet, KG data producers need to ensure the best level of completeness, as far as possible. The difficulty is that…

人机交互 · 计算机科学 2021-02-24 Marie Destandau , Jean-Daniel Fekete

Graph transformers are a recent advancement in machine learning, offering a new class of neural network models for graph-structured data. The synergy between transformers and graph learning demonstrates strong performance and versatility…

机器学习 · 计算机科学 2025-12-23 Ahsan Shehzad , Feng Xia , Shagufta Abid , Ciyuan Peng , Shuo Yu , Dongyu Zhang , Karin Verspoor

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

机器学习 · 统计学 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

Learning universal graph representations across heterogeneous domains is difficult because graph datasets differ in topology, node-attribute semantics, feature dimensions, and even attribute availability. We propose GraphVec, a…

机器学习 · 计算机科学 2026-05-08 Qi Feng , Jicong Fan

A graph $H$ is an induced subgraph of a graph $G$ if a graph isomorphic to $H$ can be obtained from $G$ by deleting vertices. Recently, there has been significant interest in understanding the unavoidable induced subgraphs for graphs of…

组合数学 · 数学 2022-07-01 Robert Hickingbotham

Inferring missing links in knowledge graphs (KG) has attracted a lot of attention from the research community. In this paper, we tackle a practical query answering task involving predicting the relation of a given entity pair. We frame this…

人工智能 · 计算机科学 2018-10-24 Wenhu Chen , Wenhan Xiong , Xifeng Yan , William Wang

The Hawkes process has become a standard method for modeling self-exciting event sequences with different event types. A recent work has generalized the Hawkes process to a neurally self-modulating multivariate point process, which enables…

机器学习 · 计算机科学 2020-06-16 Zhen Han , Yunpu Ma , Yuyi Wang , Stephan Günnemann , Volker Tresp

Reconstructing components of a genomic mixture from data obtained by means of DNA sequencing is a challenging problem encountered in a variety of applications including single individual haplotyping and studies of viral communities.…

基因组学 · 定量生物学 2019-11-14 Ziqi Ke , Haris Vikalo