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A multigraph $G = (V, E)$ is $(k, \ell)$-sparse if every subset $X \subseteq V$ induces at most $\max\{k|X| - \ell, 0\}$ edges. Finding a maximum-size $(k, \ell)$-sparse subgraph is a classical problem in rigidity theory and combinatorial…

Data Structures and Algorithms · Computer Science 2025-11-24 Péter Madarasi

Knowledge graph embedding aims to embed entities and relations of knowledge graphs into low-dimensional vector spaces. Translating embedding methods regard relations as the translation from head entities to tail entities, which achieve the…

Artificial Intelligence · Computer Science 2018-01-10 Denghui Zhang , Manling Li , Yantao Jia , Yuanzhuo Wang , Xueqi Cheng

Graph neural networks have demonstrated state-of-the-art performance on knowledge graph tasks such as link prediction. However, interpreting GNN predictions remains a challenging open problem. While many GNN explainability methods have been…

Machine Learning · Computer Science 2025-06-17 Ryoji Kubo , Djellel Difallah

Next-generation RNA sequencing (RNA-seq) technology has been widely used to assess full-length RNA isoform abundance in a high-throughput manner. RNA-seq data offer insight into gene expression levels and transcriptome structures, enabling…

Applications · Statistics 2021-12-01 Wei Vivian Li , Anqi Zhao , Shihua Zhang , Jingyi Jessica Li

We propose a novel, path-based reasoning approach for the multi-hop reading comprehension task where a system needs to combine facts from multiple passages to answer a question. Although inspired by multi-hop reasoning over knowledge…

Computation and Language · Computer Science 2019-07-10 Souvik Kundu , Tushar Khot , Ashish Sabharwal , Peter Clark

Ultra high-throughput sequencing of transcriptomes (RNA-Seq) has enabled the accurate estimation of gene expression at individual isoform level. However, systematic biases introduced during the sequencing and mapping processes as well as…

Methodology · Statistics 2013-10-02 Hui Jiang , Julia Salzman

Single-cell RNA-sequencing (scRNA-seq) has become a routinely used technique to quantify the gene expression profile of thousands of single cells simultaneously. Analysis of scRNA-seq data plays an important role in the study of cell states…

Genomics · Quantitative Biology 2022-10-13 Matthew Brendel , Chang Su , Zilong Bai , Hao Zhang , Olivier Elemento , Fei Wang

RNA design aims to identify RNA sequences that fold into a target secondary structure. This task is challenging in terms of computational efficiency. Most existing methods focus on either minimum free energy (MFE)-based or ensemble-based…

Biomolecules · Quantitative Biology 2026-03-04 Tianshuo Zhou , David H. Mathews , Liang Huang

Chemical mapping methods probe RNA structure by revealing and leveraging correlations of a nucleotide's structural accessibility or flexibility with its reactivity to various chemical probes. Pioneering work by Lucks and colleagues has…

Biomolecules · Quantitative Biology 2013-04-04 Matthew G. Seetin , Wipapat Kladwang , J. P. Bida , Rhiju Das

Single-cell RNA sequencing (scRNA-seq) technology provides high-throughput gene expression data to study the cellular heterogeneity and dynamics of complex organisms. Graph neural networks (GNNs) have been widely used for automatic cell…

Machine Learning · Computer Science 2023-12-19 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Dapeng Wu , Hongkai Xiong

We investigate the computation of minimum-cost spanning trees satisfying prescribed vertex degree constraints: Given a graph $G$ and a constraint function $D$, we ask for a (minimum-cost) spanning tree $T$ such that for each vertex $v$, $T$…

Data Structures and Algorithms · Computer Science 2026-05-05 Narek Bojikian , Alexander Firbas , Robert Ganian , Hung P. Hoang , Krisztina Szilágyi

Graph Representation Learning (GRL) has become essential for modern graph data mining and learning tasks. GRL aims to capture the graph's structural information and exploit it in combination with node and edge attributes to compute…

Machine Learning · Computer Science 2021-09-08 Marinos Poiitis , Pavlos Sermpezis , Athena Vakali

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

Subgraph GNNs have emerged as promising architectures that overcome the expressiveness limitations of Graph Neural Networks (GNNs) by processing bags of subgraphs. Despite their compelling empirical performance, these methods are afflicted…

Machine Learning · Computer Science 2025-07-09 Joshua Southern , Yam Eitan , Guy Bar-Shalom , Michael Bronstein , Haggai Maron , Fabrizio Frasca

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

Gene expression profiling technologies have been used in various applications such as cancer biology. The development of gene expression profiling has expanded the scope of target discovery in transcriptomic studies, and each technology…

Genomics · Quantitative Biology 2023-01-10 Hyeongseon Jeon , Juan Xie , Yeseul Jeon , Kyeong Joo Jung , Arkobrato Gupta , Won Chang , Dongjun Chung

A regular path query (RPQ) is a regular expression q that returns all node pairs (u, v) from a graph database that are connected by an arbitrary path labelled with a word from L(q). The obvious algorithmic approach to RPQ-evaluation (called…

Data Structures and Algorithms · Computer Science 2024-02-14 Katrin Casel , Markus L. Schmid

In single-cell RNA sequencing (scRNA-seq) analysis, a key challenge is inferring hidden cellular dynamics from static cell snapshots. Various computational methods have been developed to address this, focusing on perspectives like…

Genomics · Quantitative Biology 2024-09-04 Qingyang Wang , Zhiqian Zhai , Qiuyu Lian , Dongyuan Song , Jingyi Jessica Li

The newly developed deep-sequencing technologies make it possible to acquire both quantitative and qualitative information regarding transcript biology. By measuring messenger RNA levels for all genes in a sample, RNA-seq provides an…

Genomics · Quantitative Biology 2014-12-05 Lerong Li , Momiao Xiong

The multicut problem is an NP-hard combinatorial optimization problem with diverse applications in fields such as bioinformatics, data mining and computer vision. Graph neural networks have been defined for the multicut problem but can be…

Machine Learning · Computer Science 2026-05-14 Jannik Irmai , Lucas Fabian Naumann , Bjoern Andres