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A basic problem in metagenomics is to assign a sequenced read to the correct species in the reference collection. In typical applications in genomic epidemiology and viral metagenomics the reference collection consists of set of species…

Data Structures and Algorithms · Computer Science 2020-06-11 Dustin Cobas , Veli Mäkinen , Massimiliano Rossi

Metagenomic studies have primarily relied on de novo assembly for reconstructing genes and genomes from microbial mixtures. While reference-guided approaches have been employed in the assembly of single organisms, they have not been used in…

There is a growing awareness of the important roles that microbial communities play in complex biological processes. Modern investigation of these often uses next generation sequencing of metagenomic samples to determine community…

Applications · Statistics 2018-01-25 Adrian Dobra , Camilo Valdes , Dragana Ajdic , Bertrand Clarke , Jennifer Clarke

Advances in next-generation sequencing technology have enabled the high-throughput profiling of metagenomes and accelerated the microbiome study. Recently, there has been a rise in quantitative studies that aim to decipher the microbiome…

Methodology · Statistics 2023-08-29 Kevin C. Lutz , Michael L. Neugent , Tejasv Bedi , Nicole J. De Nisco , Qiwei Li

The large volumes of sequencing data required to sample complex environments deeply pose new challenges to sequence analysis approaches. De novo metagenomic assembly effectively reduces the total amount of data to be analyzed but requires…

We describe the Microbial Community Reconstruction ({\bf MCR}) Problem, which is fundamental for microbiome analysis. In this problem, the goal is to reconstruct the identity and frequency of species comprising a microbial community, using…

Computational Engineering, Finance, and Science · Computer Science 2013-09-27 Or Zuk , Amnon Amir , Amit Zeisel , Ohad Shamir , Noam Shental

Background. Large scale metagenomic projects aim to extract biodiversity knowledge between different environmental conditions. Current methods for comparing microbial communities face important limitations. Those based on taxonomical or…

Coding information is the main source of heterogeneity (non-randomness) in the sequences of bacterial genomes. This information can be naturally modeled by analysing cluster structures in the "in-phase" triplet distributions of relatively…

Genomics · Quantitative Biology 2011-11-09 A. N. Gorban , T. G. Popova , A. Yu. Zinovyev

Genome-centric analysis of metagenomic samples is a powerful method for understanding the function of microbial communities. Calculating read coverage is a central part of analysis, enabling differential coverage binning for recovery of…

Obtaining effective representations of DNA sequences is crucial for genome analysis. Metagenomic binning, for instance, relies on genome representations to cluster complex mixtures of DNA fragments from biological samples with the aim of…

Machine Learning · Computer Science 2024-11-05 Abdulkadir Celikkanat , Andres R. Masegosa , Thomas D. Nielsen

Microbial clades modeling is a challenging problem in biology based on microarray genome sequences, especially in new species gene isolates discovery and category. Marker family genome sequences play important roles in describing specific…

Quantitative Methods · Quantitative Biology 2019-04-22 Jingwei Liu

The explosion in known microbial diversity in the last two decades has made it abundantly clear that microbes in the environment do not exist in isolation; they are members of communities. Accordingly, omics approaches such as metagenomics…

Quantitative Methods · Quantitative Biology 2024-07-15 James C. Kosmopoulos , Karthik Anantharaman

This paper considers cluster detection in Block Markov Chains (BMCs). These Markov chains are characterized by a block structure in their transition matrix. More precisely, the $n$ possible states are divided into a finite number of $K$…

Probability · Mathematics 2019-07-31 Jaron Sanders , Alexandre Proutière , Se-Young Yun

We consider the problem of estimating the measure of subsets in very large networks. A prime tool for this purpose is the Markov Chain Monte Carlo (MCMC) algorithm. This algorithm, while extremely useful in many cases, still often suffers…

Data Structures and Algorithms · Computer Science 2020-09-01 Ahmad Askarian , Rupei Xu , András Faragó

The recent development of metagenomic sequencing makes it possible to sequence microbial genomes including viruses in an environmental sample. Identifying viral sequences from metagenomic data is critical for downstream virus analyses. The…

Genomics · Quantitative Biology 2018-06-21 Jie Ren , Kai Song , Chao Deng , Nathan A. Ahlgren , Jed A. Fuhrman , Yi Li , Xiaohui Xie , Fengzhu Sun

We introduce a parallel algorithmic architecture for metagenomic sequence assembly, termed MetaPar, which allows for significant reductions in assembly time and consequently enables the processing of large genomic datasets on computers with…

Quantitative Methods · Quantitative Biology 2013-11-18 Minji Kim , Jonathan G. Ligo , Amin Emad , Farzad Farnoud , Olgica Milenkovic , Venugopal V. Veeravalli

We study the problem of clustering $T$ trajectories of length $H$, each generated by one of K unknown ergodic Markov chains over a finite state space of size $S$. We derive an instance-dependent, high-probability lower bound on the…

Machine Learning · Statistics 2026-03-18 Junghyun Lee , Yassir Jedra , Alexandre Proutière , Se-Young Yun

Analyses of targeted genomic sequencing data from next-generation-sequencing (NGS) technologies typically involves mapping reads to a reference sequence or clustering reads. For a number of species a reference genome is not available so the…

Genomics · Quantitative Biology 2016-02-16 Raunaq Malhotra , Daniel Elleder , Le Bao , David R Hunter , Raj Acharya , Mary Poss

Markov chains are convenient means of generating realizations of networks with a given (joint or otherwise) degree distribution, since they simply require a procedure for rewiring edges. The major challenge is to find the right number of…

Social and Information Networks · Computer Science 2012-11-01 J. Ray , A. Pinar , C. Seshadhri

The human-associated microbiome is closely tied to human health and is of substantial clinical interest. Metagenomics-based tools are emerging for clinical diagnostics, tracking the spread of diseases, and surveillance of potential…