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This paper proposes an efficient and novel method to address range search on multidimensional points in $\theta(t)$ time, where $t$ is the number of points reported in $\Re^k$ space. This is accomplished by introducing a new data structure,…

Computational Geometry · Computer Science 2016-07-04 T. Hema , K. S. Easwarakumar

To tackle the challenge of producing tractable phylogenetic trees in contexts where complete information is available, we introduce APOGeT: an online, pluggable, clustering algorithm for a stream of genomes. It is designed to run alongside…

Populations and Evolution · Quantitative Biology 2024-08-01 Kevin Godin-Dubois , Sylvain Cussat-Blanc , Yves Duthen

Given a reference set $R$ of $n$ points and a query set $Q$ of $m$ points in a metric space, this paper studies an important problem of finding $k$-nearest neighbors of every point $q \in Q$ in the set $R$ in a near-linear time. In the…

Computational Geometry · Computer Science 2024-03-05 Yury Elkin , Vitaliy Kurlin

Knowing the reasoning chains from knowledge to the predicted answers can help construct an explainable question answering (QA) system. Advances on QA explanation propose to explain the answers with entailment trees composed of multiple…

Computation and Language · Computer Science 2022-05-06 Ruixin Hong , Hongming Zhang , Xintong Yu , Changshui Zhang

Given an undirected graph $G$ and a parameter $k$, the $k$-Leaf Spanning Tree ($k$-LST) problem asks if $G$ contains a spanning tree with at least $k$ leaves. This problem has been extensively studied over the past three decades. In 2000,…

Data Structures and Algorithms · Computer Science 2015-05-12 Meirav Zehavi

Phylogenetic networks generalize phylogenetic trees, and have been introduced in order to describe evolution in the case of transfer of genetic material between coexisting species. There are many classes of phylogenetic networks, which can…

Combinatorics · Mathematics 2020-03-13 Mathilde Bouvel , Philippe Gambette , Marefatollah Mansouri

Natural language text corpora are often available as sets of syntactically parsed trees. A wide range of expressive tree queries are possible over such parsed trees that open a new avenue in searching over natural language text. They not…

Databases · Computer Science 2012-08-02 Pirooz Chubak , Davood Rafiei

Counting the frequencies of k-mers in read libraries is often a first step in the analysis of high-throughput sequencing experiments. Infrequent k-mers are assumed to be a result of sequencing errors. The frequent k-mers constitute a…

Genomics · Quantitative Biology 2013-05-09 Rajat Shuvro Roy , Debashish Bhattacharya , Alexander Schliep

Given a set $P$ of $n$ points in $\mathbb{R}^2$ and an input line $\gamma$ in $\mathbb{R}^2$, we present an algorithm that runs in optimal $\Theta(n\log n)$ time and $\Theta(n)$ space to solve a restricted version of the $1$-Steiner tree…

Computational Geometry · Computer Science 2023-06-16 Prosenjit Bose , Anthony D'Angelo , Stephane Durocher

The linear matter power spectrum $P(k,z)$ connects theory with large scale structure observations in cosmology. Its scale dependence is entirely encoded in the matter transfer function $T(k)$, which can be computed numerically by Boltzmann…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-24 J. Bayron Orjuela-Quintana , Savvas Nesseris , Wilmar Cardona

Given a finite set $X$, a collection $\mathcal{T}$ of rooted phylogenetic trees on $X$ and an integer $k$, the Hybridization Number problem asks if there exists a phylogenetic network on $X$ that displays all trees from $\mathcal{T}$ and…

Discrete Mathematics · Computer Science 2016-03-23 Leo van Iersel , Steven Kelk , Celine Scornavacca

For a given set $\mathcal{L}$ of species and a set $\mathcal{T}$ of triplets on $\mathcal{L}$, one wants to construct a phylogenetic network which is consistent with $\mathcal{T}$, i.e which represents all triplets of $\mathcal{T}$. The…

Populations and Evolution · Quantitative Biology 2015-03-19 Michel Habib , Thu-Hien To

K-mer abundance analysis is widely used for many purposes in nucleotide sequence analysis, including data preprocessing for de novo assembly, repeat detection, and sequencing coverage estimation. We present the khmer software package for…

Genomics · Quantitative Biology 2014-08-07 Qingpeng Zhang , Jason Pell , Rosangela Canino-Koning , Adina Chuang Howe , C. Titus Brown

We introduce the software tool NTRFinder to find the complex repetitive structure in DNA we call a nested tandem repeat (NTR). An NTR is a recurrence of two or more distinct tandem motifs interspersed with each other. We propose that nested…

Quantitative Methods · Quantitative Biology 2011-05-04 A. A. Matroud , M. D. Hendy , C. P. Tuffley

Motivation: Many inference tools use the Perfect Phylogeny Model (PPM) to learn trees from noisy variant allele frequency (VAF) data. Learning in this setting is hard, and existing tools use approximate or heuristic algorithms. An…

Quantitative Methods · Quantitative Biology 2019-08-26 Surjyendu Ray , Bei Jia , Sam Safavi , Tim van Opijnen , Ralph Isberg , Jason Rosch , José Bento

Distances between sequences based on their $k$-mer frequency counts can be used to reconstruct phylogenies without first computing a sequence alignment. Past work has shown that effective use of k-mer methods depends on 1) model-based…

Populations and Evolution · Quantitative Biology 2017-05-22 Chris Durden , Seth Sullivant

We propose a data structure that stores, in a compressed way, object trajectories, which at the same time, allow to efficiently response queries without the need to decompress the data. We use a data structure, called $k^{2}$-tree, to store…

Data Structures and Algorithms · Computer Science 2016-11-18 Guillermo de Bernardo , Ramón Casares , Adrián Gómez-Brandón , José R. Paramá

Frequent itemset mining has emerged as a fundamental problem in data mining and plays an important role in many data mining tasks, such as association analysis, classification, etc. In the framework of frequent itemset mining, the results…

Databases · Computer Science 2015-12-25 Zhi-Hong Deng

Large language models have achieved high performance on various question answering (QA) benchmarks, but the explainability of their output remains elusive. Structured explanations, called entailment trees, were recently suggested as a way…

Computation and Language · Computer Science 2022-07-21 Danilo Ribeiro , Shen Wang , Xiaofei Ma , Rui Dong , Xiaokai Wei , Henry Zhu , Xinchi Chen , Zhiheng Huang , Peng Xu , Andrew Arnold , Dan Roth

The kTree problem is a special case of Subgraph Isomorphism where the pattern graph is a tree, that is, the input is an $n$-node graph $G$ and a $k$-node tree $T$, and the goal is to determine whether $G$ has a subgraph isomorphic to $T$.…

Data Structures and Algorithms · Computer Science 2018-04-10 Robert Krauthgamer , Ohad Trabelsi
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