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Matrix completion aims to reconstruct a data matrix based on observations of a small number of its entries. Usually in matrix completion a single matrix is considered, which can be, for example, a rating matrix in recommendation system.…

Machine Learning · Statistics 2019-10-22 Mokhtar Z. Alaya , Olga Klopp

High dimensional and heterogeneous count data are collected in various applied fields. In this paper, we look closely at high-resolution sequencing data on the microbiome, which have enabled researchers to study the genomes of entire…

Methodology · Statistics 2024-01-12 Veronica Vinciotti , Pariya Behrouzi , Reza Mohammadi

This paper introduces a rectified and renormalized Fisher-Bingham model for compositional data with zeros, motivated in part by the presence of zeros in microbiota studies. The approach represents compositions through a square-root…

Methodology · Statistics 2026-04-29 Eugene Han , Marahi Perez-Tamayo , Hannah D. Holscher , Ruoqing Zhu

We report a droplet microfluidic method to target and sort individual cells directly from complex microbiome samples, and to prepare these cells for bulk whole genome sequencing without cultivation. We characterize this approach by…

Microbial communities play important roles in the function and maintenance of various biosystems, ranging from human body to the environment. Current methods for analysis of microbial communities are typically based on taxonomic…

Genomics · Quantitative Biology 2015-12-02 Ehsaneddin Asgari , Kiavash Garakani , Mohammad R. K Mofrad

Microbes are essentially yet convolutedly linked with human lives on the earth. They critically interfere in different physiological processes and thus influence overall health status. Studying microbial species is used to be constrained to…

Genomics · Quantitative Biology 2021-09-03 Chao Yang , Debajyoti Chowdhury , Zhenmiao Zhang , William K. Cheung , Aiping Lu , Zhao Xiang Bian , Lu Zhang

We consider in this paper the problem of noisy 1-bit matrix completion under a general non-uniform sampling distribution using the max-norm as a convex relaxation for the rank. A max-norm constrained maximum likelihood estimate is…

Machine Learning · Statistics 2013-09-25 T. Tony Cai , Wen-Xin Zhou

Differential abundance tests in compositional data are essential and fundamental tasks in various biomedical applications, such as single-cell, bulk RNA-seq, and microbiome data analysis. However, because of the compositional constraint and…

Methodology · Statistics 2022-04-14 Shulei Wang

Metagenomic binning aims to cluster DNA fragments from mixed microbial samples into their respective genomes, a critical step for downstream analyses of microbial communities. Existing methods rely on deterministic representations, such as…

Machine Learning · Computer Science 2025-10-01 Abdulkadir Celikkanat , Andres R. Masegosa , Mads Albertsen , Thomas D. Nielsen

In this research, we consider a mixture of genome fragments of a certain bacteria set. The problem of mixture separation is studied under the assumption that all the genomes present in the mixture are completely sequenced or are close to…

Genomics · Quantitative Biology 2012-03-12 Valery Kirzhner , Zeev Volkovich

Metagenomics offers a way to analyze biotopes at the genomic level and to reach functional and taxonomical conclusions. The bio-analyzes of large metagenomic projects face critical limitations: complex metagenomes cannot be assembled and…

Genomics · Quantitative Biology 2015-11-30 Maillet Nicolas , Collet Guillaume , Vanier Thomas , Lavenier Dominique , Pierre Peterlongo

Rapidly assaying the diversity of a bacterial species present in a sample obtained from a hospital patient or an evironmental source has become possible after recent technological advances in DNA sequencing. For several applications it is…

Monitoring the distribution of microfossils in stratigraphic successions is an essential tool for biostratigraphic, evolutionary and paleoecologic/paleoceanographic studies. To estimate the relative abundance (%) of a given species, it is…

Quantitative Methods · Quantitative Biology 2018-05-14 Ali T. Haidar , Abbas Al-Hakim , Zhiyi Zhang

Sample size calculation is an essential step in most data-based disciplines. Large enough samples ensure representativeness of the population and determine the precision of estimates. This is true for most quantitative studies, including…

Microbial communities analysis is drawing growing attention due to the rapid development of high-throughput sequencing techniques nowadays. The observed data has the following typical characteristics: it is high-dimensional, compositional…

Methodology · Statistics 2020-04-30 Yong He , Pengfei Liu , Xinsheng Zhang , Wang Zhou

Synthetic microbiomes offer new possibilities for modulating microbiota, to address the barriers in multidtug resistance (MDR) research. We present a Bayesian optimization approach to enable efficient searching over the space of synthetic…

Quantitative Methods · Quantitative Biology 2024-05-02 Nisha Pillai , Bindu Nanduri , Michael J Rothrock , Zhiqian Chen , Mahalingam Ramkumar

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

Current metagenome assemblers developed for short sequence reads or noisy long readswere not optimized for accurate long reads. Here we describe hifiasm-meta, a new metagenome assembler that exploits the high accuracy of recent data.…

Genomics · Quantitative Biology 2021-10-19 Xiaowen Feng , Haoyu Cheng , Daniel Portik , Heng Li

Modern surveys with large sample sizes and growing mixed-type questionnaires require robust and scalable analysis methods. In this work, we consider recovering a mixed dataframe matrix, obtained by complex survey sampling, with entries…

Methodology · Statistics 2024-02-07 Xiaojun Mao , Hengfang Wang , Zhonglei Wang , Shu Yang

The human microbiome plays critical roles in human health and has been linked to many diseases. While advanced sequencing technologies can characterize the composition of the microbiome in unprecedented detail, it remains challenging to…