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Decomposing a flow on a Directed Acyclic Graph (DAG) into a weighted sum of a small number of paths is an essential task in operations research and bioinformatics. This problem, referred to as Sparse Flow Decomposition (SFD), has gained…

Optimization and Control · Mathematics 2025-07-22 Mathieu Besançon

RNA sequencing (RNA-seq) has been rapidly adopted for the profiling of transcriptomes in many areas of biology, including studies into gene regulation, development and disease. Of particular interest is the discovery of differentially…

Although RNA-Seq data provide unprecedented isoform-level expression information, detection of alternative isoform regulation (AIR) remains difficult, particularly when working with an incomplete transcript annotation. We introduce…

Genomics · Quantitative Biology 2016-06-03 Stephen W. Hartley , James C. Mullikin

Motivation: High-throughput sequencing enables expression analysis at the level of individual transcripts. The analysis of transcriptome expression levels and differential expression estimation requires a probabilistic approach to properly…

Genomics · Quantitative Biology 2012-10-10 Peter Glaus , Antti Honkela , Magnus Rattray

Given a graph $G$, and terminal vertices $s$ and $t$, the TRACKING PATHS problem asks to compute a minimum number of vertices to be marked as trackers, such that the sequence of trackers encountered in each s-t path is unique. TRACKING…

Data Structures and Algorithms · Computer Science 2020-02-19 Pratibha Choudhary

RNA-sequencing has revolutionized biomedical research and, in particular, our ability to study gene alternative splicing. The problem has important implications for human health, as alternative splicing may be involved in malfunctions at…

Applications · Statistics 2015-12-11 David Rossell , Camille Stephan-Otto Attolini , Manuel Kroiss , Almond Stöcker

Single-cell RNA-seq data are challenging because of the sparseness of the read counts, the tiny expression of many relevant genes, and the variability in the efficiency of RNA extraction for different cells. We consider a simple…

Methodology · Statistics 2020-02-10 Silvia Giulia Galfre' , Francesco Morandin

Single-cell RNA sequencing (scRNA-seq) provides unprecedented insights into cellular heterogeneity, enabling detailed analysis of complex biological systems at single-cell resolution. However, the high dimensionality and technical noise…

Genomics · Quantitative Biology 2025-09-04 Hojjat Torabi Goudarzi , Maziyar Baran Pouyan

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

We study the Short Path Packing problem which asks, given a graph $G$, integers $k$ and $\ell$, and vertices $s$ and $t$, whether there exist $k$ pairwise internally vertex-disjoint $s$-$t$ paths of length at most $\ell$. The problem has…

Data Structures and Algorithms · Computer Science 2024-04-17 Michael Kiran Huber

Evaluation of regular path queries (RPQs) is a central problem in graph databases. We investigate the corresponding enumeration problem, that is, given a graph and an RPQ, enumerate all paths in the graph that match the RPQ. We consider…

Databases · Computer Science 2017-10-09 Wim Martens , Tina Trautner

The identification of disease-gene associations is instrumental in understanding the mechanisms of diseases and developing novel treatments. Besides identifying genes from RNA-Seq datasets, it is often necessary to identify gene clusters…

Genomics · Quantitative Biology 2025-11-14 Jake R. Patock , Rinki Ratnapriya , Arko Barman

High-throughput mRNA sequencing (RNA-Seq) is widely used for transcript quantification of gene isoforms. Since RNA-Seq data alone is often not sufficient to accurately identify the read origins from the isoforms for quantification, we…

Computational Engineering, Finance, and Science · Computer Science 2015-12-31 Wei Zhang , Jae-Woong Chang , Lilong Lin , Kay Minn , Baolin Wu , Jeremy Chien , Jeongsik Yong , Hui Zheng , Rui Kuang

High-throughput sequencing of RNA transcripts (RNA-seq) has become the method of choice for detection of differential expression (DE). Concurrent with the growing popularity of this technology there has been a significant research effort…

RNA molecules are known to form complex secondary structures including pseudoknots. A systematic framework for the enumeration, classification and prediction of secondary structures is critical to determine the biological significance of…

Biomolecules · Quantitative Biology 2025-12-24 Rayan Ibrahim , Allison H. Moore

Recent advances in molecular biology allow the quantification of the transcriptome and scoring transcripts as differentially or equally expressed between two biological conditions. Although these two tasks are closely linked, the available…

Methodology · Statistics 2017-02-08 Panagiotis Papastamoulis , Magnus Rattray

Although bulk transcriptomic analyses have significantly contributed to an enhanced comprehension of multifaceted diseases, their exploration capacity is impeded by the heterogeneous compositions of biological samples. Indeed, by averaging…

Quantitative Methods · Quantitative Biology 2023-10-24 Bastien Chassagnol , Grégory Nuel , Etienne Becht

We present a novel approach to RNA-Seq quantification that is near optimal in speed and accuracy. Software implementing the approach, called kallisto, can be used to analyze 30 million unaligned paired-end RNA-Seq reads in less than 5…

Quantitative Methods · Quantitative Biology 2015-05-18 Nicolas Bray , Harold Pimentel , Páll Melsted , Lior Pachter

RNA co-transcriptionality, where RNA is spliced or folded during transcription from DNA templates, offers promising potential for molecular programming. It enables programmable folding of nano-scale RNA structures and has recently been…

Formal Languages and Automata Theory · Computer Science 2025-07-01 Da-Jung Cho , Szilárd Zsolt Fazekas , Shinnosuke Seki , Max Wiedenhöft

Single-cell RNA sequencing (scRNA-seq), especially temporally resolved datasets, enables genome-wide profiling of gene expression dynamics at single-cell resolution across discrete time points. However, current technologies provide only…

Genomics · Quantitative Biology 2025-11-19 Yue Ling , Peiqi Zhang , Zhenyi Zhang , Peijie Zhou