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Recent multi-omic microbiome studies enable integrative analysis of microbes and metabolites, uncovering their associations with various host conditions. Such analyses require multivariate models capable of accounting for the complex…

Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be…

Statistics Theory · Mathematics 2008-05-21 Zhiyi Chi

Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number $P$ of simultaneously retrievable patterns scales with the number $N$ of nodes as $P\sim \log…

Disordered Systems and Neural Networks · Physics 2013-03-01 Elena Agliari , Alessia Annibale , Adriano Barra , A. C. C. Coolen , Daniele Tantari

We examine the modular structure of the metabolic network when combined with the regulatory network representing direct regulation of enzymes by small metabolites in E.coli. In order to identify the modular structure we introduce clustering…

Molecular Networks · Quantitative Biology 2014-01-14 Jan Geryk , Frantisek Slanina

A plethora of computational models have been developed in recent decades to account for the morphogenesis of complex biological fluid networks, such as capillary beds. Contemporary adaptation models are based on optimization schemes where…

Tissues and Organs · Quantitative Biology 2021-11-16 Felix Kramer , Carl D. Modes

This paper develops a general framework for controlling the false discovery rate (FDR) in multiple testing of Gaussian means against two-sided alternatives. The widely used Benjamini-Hochberg (BH) procedure provides exact FDR control under…

Methodology · Statistics 2025-11-26 Deepra Ghosh , Sanat K. Sarkar

Identifying signals that replicate across multiple studies is essential for establishing robust scientific evidence, yet existing methods for high-dimensional replicability analysis either rely on restrictive modeling assumptions, are…

Methodology · Statistics 2026-03-05 Haochen Lei , Yan Li , Hongyuan Cao

The combination of new recording techniques in neuroscience and powerful inference methods recently held the promise to recover useful effective models, at the single neuron or network level, directly from observed data. The value of a…

Neurons and Cognition · Quantitative Biology 2018-04-09 Cristiano Capone , Guido Gigante , Paolo Del Giudice

Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

Methodology · Statistics 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass

In the setting of multiple testing, compound p-values generalize p-values by asking for superuniformity to hold only \emph{on average} across all true nulls. We study the properties of the Benjamini--Hochberg procedure applied to compound…

Statistics Theory · Mathematics 2025-07-30 Rina Foygel Barber , Richard J Samworth

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

Machine Learning · Statistics 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

In the rapidly evolving field of metabolic engineering, the quest for efficient and precise gene target identification for metabolite production enhancement presents significant challenges. Traditional approaches, whether knowledge-based or…

Artificial Intelligence · Computer Science 2024-11-01 Kexuan Xin , Qingyun Wang , Junyu Chen , Pengfei Yu , Huimin Zhao , Heng Ji

Multiple testing adjustments, such as the Benjamini and Hochberg (1995) step-up procedure for controlling the false discovery rate (FDR), are typically applied to families of tests that control significance level in the classical sense: for…

Methodology · Statistics 2025-05-19 Timothy B. Armstrong

In this paper, we proposed the \textit{link injection}, a novel method that helps any differentiable graph machine learning models to go beyond observed connections from the input data in an end-to-end learning fashion. It finds out (weak)…

Social and Information Networks · Computer Science 2020-09-10 Jie Bu , M. Maruf , Arka Daw

Microbiome studies increasingly indicate that disease-associated shifts cannot be understood from compositional changes alone. The functional architecture of microbial communities encoded in patterns of association among microbial gene…

Other Quantitative Biology · Quantitative Biology 2026-04-28 Marianna Milano , Pietro Hiram Guzzi

In order to identify a system (module) embedded in a dynamic network, one has to formulate a multiple-input estimation problem that necessitates certain nodes to be measured and included as predictor inputs. However, some of these nodes may…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

Thermodynamics constrains the flow of matter in a reaction network to occur through routes along which the Gibbs energy decreases, implying that viable steady-state flux patterns should be void of closed reaction cycles. Identifying and…

Molecular Networks · Quantitative Biology 2013-10-15 Daniele De Martino , Fabrizio Capuani , Matteo Mori , Andrea De Martino , Enzo Marinari

Identifying important features linked to a response variable is a fundamental task in various scientific domains. This article explores statistical inference for simulated Markov random fields in high-dimensional settings. We introduce a…

Machine Learning · Statistics 2024-01-23 Haoyu Wei , Xiaoyu Lei , Yixin Han , Huiming Zhang

Controlling the false discovery rate (FDR) in variable selection becomes challenging when predictors are correlated, as existing methods often exclude all members of correlated groups and consequently perform poorly for prediction. We…

Methodology · Statistics 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu
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