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Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

Identification of functional elements of a genome often requires dividing a sequence of measurements along a genome into segments differing from adjacent segments. In many applications, the mean of the measured values at multiple genomic…

Applications · Statistics 2015-06-30 S. B. Girimurugan , Jonathan Dennis , Jinfeng Zhang

The ordered set is one of the most important data type in both theoretical algorithm design and analysis and practical programming. In this paper we study the set operations on two ordered sets, including Union, Intersect and Difference,…

Data Structures and Algorithms · Computer Science 2016-11-15 Guy Blelloch , Daniel Ferizovic , Yihan Sun

Motivation: The comparison of diverse genomic datasets is fundamental to understanding genome biology. Researchers must explore many large datasets of genome intervals (e.g., genes, sequence alignments) to place their experimental results…

Genomics · Quantitative Biology 2012-08-20 Ryan M. Layer , Kevin Skadron , Gabriel Robins , Ira M. Hall , Aaron R. Quinlan

The lexical and syntactic disparities among different programming languages (e.g., Java and Python) pose significant challenges for multi-language software engineering tasks such as cross-language code clone detection and code retrieval,…

Software Engineering · Computer Science 2026-05-11 Junhao Chen , Jingxuan Zhang , Jian He , Yixuan Tang , Weiqin Zou

Finding spanning trees under various constraints is a classic problem with applications in many fields. Recently, a novel notion of "dense" ("sparse") tree, and in particular spanning tree (DST and SST respectively), is introduced as the…

Optimization and Control · Mathematics 2020-05-29 Mustafa Ozen , Goran Lesaja , Hua Wang

The segment tree is an extremely versatile data structure. In this paper, a new heap based implementation of segment trees is proposed. In such an implementation of segment tree, the structural information associated with the tree nodes can…

Data Structures and Algorithms · Computer Science 2018-07-17 Lei Wang , Xiaodong Wang

Genome assembly is a fundamental problem in Bioinformatics, where for a given set of overlapping substrings of a genome, the aim is to reconstruct the source genome. The classical approaches to solving this problem use assembly graphs, such…

Data Structures and Algorithms · Computer Science 2021-06-14 Shahbaz Khan

Integrative analysis of disparate data blocks measured on a common set of experimental subjects is one major challenge in modern data analysis. This data structure naturally motivates the simultaneous exploration of the joint and individual…

Methodology · Statistics 2016-04-26 Qing Feng , Jan Hannig , J. S. Marron

Given an elementary chain of vertex set V, seen as a labelling of V by the set {1, ...,n=|V|}, and another discrete structure over $V$, say a graph G, the problem of common intervals is to compute the induced subgraphs G[I], such that $I$…

Data Structures and Algorithms · Computer Science 2013-09-30 Ismael Belghiti , Michel Habib

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Research in several fields now requires the analysis of data sets in which multiple high-dimensional types of data are available for a common set of objects. In particular, The Cancer Genome Atlas (TCGA) includes data from several diverse…

Machine Learning · Statistics 2013-05-29 Eric F. Lock , Katherine A. Hoadley , J. S. Marron , Andrew B. Nobel

De novo genome assembly, i.e., rebuilding the sequence of an unknown genome from redundant and erroneous short sequences, is a key but computationally intensive step in many genomics pipelines. The exponential growth of genomic data is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-12 Giulia Guidi , Gabriel Raulet , Daniel Rokhsar , Leonid Oliker , Katherine Yelick , Aydin Buluc

Merge trees, a type of topological descriptor, serve to identify and summarize the topological characteristics associated with scalar fields. They present a great potential for the analysis and visualization of time-varying data. First,…

Human-Computer Interaction · Computer Science 2021-08-02 Lin Yan , Talha Bin Masood , Farhan Rasheed , Ingrid Hotz , Bei Wang

Deploying multi-sequence magnetic resonance imaging (MRI) segmentation models to new clinical environments is challenging due to variations in scanners and acquisition protocols. Although existing TTA methods handle basic per-modality…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Zhipeng Deng , Jiale Zhou , Wenhan Jiang , Haolin Wang , Xun Lin , Yafei Ou , Yefeng Zheng

The interval graph for a set of intervals on a line consists of one vertex for each interval, and an edge for each intersecting pair of intervals. A probe interval graph is a variant that is motivated by an application to genomics, where…

Data Structures and Algorithms · Computer Science 2013-07-23 Ross M. McConnell , Yahav Nussbaum

Plant phenotyping is a central task in agriculture, as it describes plants' growth stage, development, and other relevant quantities. Robots can help automate this process by accurately estimating plant traits such as the number of leaves,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Gianmarco Roggiolani , Matteo Sodano , Tiziano Guadagnino , Federico Magistri , Jens Behley , Cyrill Stachniss

Genomics has revolutionized biology, enabling the interrogation of whole transcriptomes, genome-wide binding sites for proteins, and many other molecular processes. However, individual genomic assays measure elements that interact in vivo…

Machine Learning · Statistics 2022-06-08 Sumanta Basu , Karl Kumbier , James B. Brown , Bin Yu

Genomic regions represent features such as gene annotations, transcription factor binding sites and epigenetic modifications. Performing various genomic operations such as identifying overlapping/non-overlapping regions or nearest gene…

Databases · Computer Science 2020-08-18 Matloob Khushi

Genomic phenotypes, such as DNA methylation and chromatin accessibility, can be used to characterize the transcriptional and regulatory activity of DNA within a cell. Recent technological advances have made it possible to measure such…

Methodology · Statistics 2016-11-15 Jean Morrison , Noah Simon , Daniela Witten
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