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Metagenomics sequencing is routinely applied to quantify bacterial abundances in microbiome studies, where the bacterial composition is estimated based on the sequencing read counts.
A singular value thresholding algorithm for matrix completion
Cai, J.-F · 1982
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Weak convergence and empirical processes
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About the constants in talagrand’s concentration inequalities for empirical processes
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The Statistical Analysis of Compositional Data
Aitchison, J · 2003
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Dealing with zeros and missing values in compositional data sets using nonparametric imputation
Martín-Fernández, J. A · 2003
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Symbiosis insights through metagenomic analysis of a microbial consortium
Woyke, T · 2006
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A comparison of taxon co-occurrence patterns for macro-and microorganisms
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A fast iterative shrinkage-thresholding algorithm for linear inverse problems
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Interior-point method for nuclear norm approximation with application to system identification
Liu, Z · 2009
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A core gut microbiome in obese and lean twins
Turnbaugh, P. J · 2009
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A global network of coexisting microbes from environmental and whole-genome sequence data
Chaffron, S · 2010
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
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Templates for convex cone problems with applications to sparse signal recovery
Becker, S. R · 2011
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Statistics for High-Dimensional Data: Methods, Theory and Applications
Bühlmann, P · 2011
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Dealing with zeros
Martın-Fernandez, J. A · 2011
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Estimation of (near) low-rank matrices with noise and high-dimensional scaling
Negahban, S · 2011
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User-friendly tail bounds for matrix martingales
Tropp, J. A · 2011
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Linking long-term dietary patterns with gut microbial enterotypes
Wu, G. D · 2011
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Microbial co-occurrence relationships in the human microbiome
Faust, K · 2012
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Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
Negahban, S · 2012
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A framework for human microbiome research
The Human Microbiome Project Consortium · 2012
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Poisson noise reduction with non-local pca
Salmon, J · 2014
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Estimation error guarantees for poisson denoising with sparse and structured dictionary models
Soni, A · 2014
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Matrix estimation by universal singular value thresholding
Chatterjee, S · 2015
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Minimax optimal rates for poisson inverse problems with physical constraints
Jiang, X · 2015
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Adaptive multinomial matrix completion
Klopp, O · 2015
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Inflammation, antibiotics, and diet as environmental stressors of the gut microbiome in pediatric Crohn’s disease
Lewis, J. D · 2015
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