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This paper describes a linear-time algorithm that finds the longest stretch in a sequence of real numbers (``scores'') in which the sum exceeds an input parameter. The algorithm also solves the problem of finding the longest interval in…

Data Structures and Algorithms · Computer Science 2007-05-23 Miklós Csűrös

In many causal learning problems, variables of interest are often not all measured over the same observations, but are instead distributed across multiple datasets with overlapping variables. Tillman et al. (2008) presented the first…

Machine Learning · Statistics 2024-11-08 Praveen Nair , Payal Bhandari , Mohammadsajad Abavisani , Sergey Plis , David Danks

As data are increasingly modeled as graphs for expressing complex relationships, the tree pattern query on graph-structured data becomes an important type of queries in real-world applications. Most practical query languages, such as XQuery…

Databases · Computer Science 2015-03-19 Qiang Zeng , Xiaorui Jiang , Hai Zhuge

We present a new approach for the analysis of genome-wide expression data. Our method is designed to overcome the limitations of traditional techniques, when applied to large-scale data. Rather than alloting each gene to a single cluster,…

Biological Physics · Physics 2009-11-07 Sven Bergmann , Jan Ihmels , Naama Barkai

We present a general transformation for combining a constant number of binary search tree data structures (BSTs) into a single BST whose running time is within a constant factor of the minimum of any "well-behaved" bound on the running time…

Data Structures and Algorithms · Computer Science 2013-04-30 Erik D. Demaine , John Iacono , Stefan Langerman , Özgür Özkan

With the widespread application of efficient pattern mining algorithms, sequential patterns that allow gap constraints have become a valuable tool to discover knowledge from biological data such as DNA and protein sequences. Among all kinds…

Databases · Computer Science 2023-06-13 Zefeng Chen , Wensheng Gan , Gengsen Huang , Zhenlian Qi , Yan Li , Philip S. Yu

Ordered set (and map) is one of the most used data type. In addition to standard set operations, like insert, delete and contains, it can provide set-set operations such as union, intersection, and difference. Each of these set-set…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Vitaly Aksenov , Ilya Kokorin , Alena Martsenyuk

It is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures. This paper is intended to demonstrate that the correlation structure of microarray data provides…

Applications · Statistics 2007-12-18 Lev Klebanov , Andrei Yakovlev

The infinitesimal jackknife (IJ) has recently been applied to the random forest to estimate its prediction variance. These theorems were verified under a traditional random forest framework which uses classification and regression trees…

Machine Learning · Statistics 2021-08-05 Cole Brokamp , MB Rao , Patrick Ryan , Roman Jandarov

We study graph classes modeled by families of non-crossing (NC) connected sets. Two classic graph classes in this context are disk graphs and proper interval graphs. We focus on the cases when the sets are paths and the host is a tree…

Discrete Mathematics · Computer Science 2020-08-18 Steven Chaplick

We present a fully automated learning-based approach for segmenting knee cartilage in the presence of osteoarthritis (OA). The algorithm employs a hierarchical set of two random forest classifiers. The first is a neighborhood approximation…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Satyananda Kashyap , Ipek Oguz , Honghai Zhang , Milan Sonka

Background: To understand individual genomes it is necessary to look at the variations that lead to changes in phenotype and possibly to disease. However, genotype information alone is often not sufficient and additional knowledge regarding…

Computational Engineering, Finance, and Science · Computer Science 2014-07-23 Günter Jäger , Alexander Peltzer , Kay Nieselt

Algorithms based on spatial tree traversal are widely regarded as among the most efficient and flexible approaches for many problems in CPU-based high-performance computing (HPC). However, directly transferring these algorithms to GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-08 Jens Stücker , Oliver Hahn , Lukas Winkler , Adrian Gutierrez Adame , Thomas Flöss

Evolutionary algorithms rely very heavily on randomized behavior. Execution speed, therefore, depends strongly on how we implement randomness, such as our choice of pseudorandom number generator, or the algorithms used to map pseudorandom…

Neural and Evolutionary Computing · Computer Science 2024-12-04 Vincent A. Cicirello

We study the connections between sorting and the binary search tree (BST) model, with an aim towards showing that the fields are connected more deeply than is currently appreciated. While any BST can be used to sort by inserting the keys…

Data Structures and Algorithms · Computer Science 2023-05-08 Guy Blelloch , Magdalen Dobson

Assembling genomic sequences from a set of overlapping reads is one of the most fundamental problems in computational biology. Algorithms addressing the assembly problem fall into two broad categories -- based on the data structures which…

Data Structures and Algorithms · Computer Science 2010-03-10 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

A dynamic forest data structure maintains a forest (and associated data like edge weights) under edge insertions and deletions. Dynamic forests are widely used to solve online and offline graph problems. Well-known examples of dynamic…

Data Structures and Algorithms · Computer Science 2024-01-09 Benjamin Aram Berendsohn

Structural changes in a network representation of a system (e.g.,different experimental conditions, time evolution), can provide insight on its organization, function and on how it responds to external perturbations. The deeper…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Leonardo L. Portes , Michael Small

Understanding the dynamic transition of motifs in temporal graphs is essential for revealing how graph structures evolve over time, identifying critical patterns, and predicting future behaviors, yet existing methods often focus on…

Databases · Computer Science 2025-08-19 Zhiyuan Zheng , Jianpeng Qi , Jiantao Li , Guoqing Chao , Junyu Dong , Yanwei Yu

Significant advances in biotechnology have allowed for simultaneous measurement of molecular data points across multiple genomic and transcriptomic levels from a single tumor/cancer sample. This has motivated systematic approaches to…

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