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Complex systems may contain heterogeneous types of variables that interact in a multi-level and multi-scale manner. In this context, high-level layers may considered as groups of variables interacting in lower-level layers. This is…

Quantitative Methods · Quantitative Biology 2018-11-28 Veronica Tozzo , Federico Tomasi , Margherita Squillario , Annalisa Barla

Network models provide a powerful framework for analysing single-cell count data, facilitating the characterisation of cellular identities, disease mechanisms, and developmental trajectories. However, uncertainty modeling in unsupervised…

Genomics · Quantitative Biology 2026-04-27 Shanshan Ren , Thomas E. Bartlett , Lina Gerontogianni , Swati Chandna

One of the most challenging tasks when adopting Bayesian Networks (BNs) is the one of learning their structure from data. This task is complicated by the huge search space of possible solutions, and by the fact that the problem is NP-hard.…

Machine Learning · Computer Science 2018-08-07 Stefano Beretta , Mauro Castelli , Ivo Goncalves , Roberto Henriques , Daniele Ramazzotti

The exploration of cellular heterogeneity within the tumor microenvironment (TME) via single-cell RNA sequencing (scRNA-seq) is essential for understanding cancer progression and response to therapy. Current scRNA-seq approaches, however,…

Genomics · Quantitative Biology 2025-02-06 Yu-An Huang , Yue-Chao Li , Hai-Ru You , Jie Pan , Xiyue Cao , Xinyuan Li , Zhi-An Huang , Zhu-Hong You

The Gaussian graphical model is a widely used tool for learning gene regulatory networks with high-dimensional gene expression data. Most existing methods for Gaussian graphical models assume that the data are homogeneous, i.e., all samples…

Methodology · Statistics 2018-05-08 Bochao Jia , Faming Liang

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

Methodology · Statistics 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

Multi-gene panel testing allows many cancer susceptibility genes to be tested quickly at a lower cost making such testing accessible to a broader population. Thus, more patients carrying pathogenic germline mutations in various…

In this perspective article, we present a multidisciplinary approach for characterizing protein structure networks. We first place our approach in its historical context and describe the manner in which it synthesizes concepts from quantum…

Molecular Networks · Quantitative Biology 2019-12-30 Vasundhara Gadiyaram , Smitha Vishveshwara , Saraswathi Vishveshwara

Gaussian graphical models are often used to infer gene networks based on microarray expression data. Many scientists, however, have begun using high-throughput sequencing technologies to measure gene expression. As the resulting…

Applications · Statistics 2012-05-30 Genevera I. Allen , Zhandong Liu

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

This work reports the most relevant technical aspects in the problem of learning the \emph{Markov network structure} from data. Such problem has become increasingly important in machine learning, and many other application fields of machine…

Artificial Intelligence · Computer Science 2013-11-21 Federico Schlüter

Healthcare data from patient or population cohorts are often characterized by sparsity, high missingness and relatively small sample sizes. In addition, being able to quantify uncertainty is often important in a medical context. To address…

Machine Learning · Statistics 2025-03-28 H. C. Donker , D. Neijzen , J. de Jong , G. A. Lunter

Our motivation stems from current medical research aiming at personalized treatment using a molecular-based approach. The broad goal is to develop a more precise and targeted decision making process, relative to traditional treatments based…

Methodology · Statistics 2022-01-27 Federico Castelletti , Guido Consonni

Bayesian approaches to learn the graphical structure of Bayesian Belief Networks (BBNs) from databases share the assumption that the database is complete, that is, no entry is reported as unknown. Attempts to relax this assumption involve…

Artificial Intelligence · Computer Science 2013-02-08 Marco Ramoni , Paola Sebastiani

In recent years, research on hyperspectral image (HSI) classification has continuous progress on introducing deep network models, and recently the graph convolutional network (GCN) based models have shown impressive performance. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Mingyang Zhang , Ziqi Di , Maoguo Gong , Yue Wu , Hao Li , Xiangming Jiang

Rapid technological advances have allowed for molecular profiling across multiple omics domains from a single sample for clinical decision making in many diseases, especially cancer. As tumor development and progression are dynamic…

Methodology · Statistics 2022-02-11 Dongyan Yan , Subharup Guha

Introduction: To leverage functionality and clinical relevance into understanding systems biology, one needs to understand the pathway of the genetic effects on risk factors/disease through intermediate molecular levels, such as…

Genomics · Quantitative Biology 2018-09-14 Azam Yazdani , Akram Yazdani , Philip L. Lorenzi , Ahmad Samiei

Causal Bayesian networks (CBN) are popular graphical probabilistic models that encode causal relations among variables. Learning their graphical structure from observational data has received a lot of attention in the literature. When there…

Machine Learning · Computer Science 2024-08-22 Christophe Gonzales , Amir-Hosein Valizadeh

Learning latent expression themes that best express complex patterns in a sample is a central problem in data mining and scientific research. For example, in computational biology we seek a set of salient gene expression themes that explain…

Quantitative Methods · Quantitative Biology 2007-11-19 Edoardo M Airoldi , Stephen E Fienberg , Eric P Xing

Learning a Bayesian network (BN) from data can be useful for decision-making or discovering causal relationships. However, traditional methods often fail in modern applications, which exhibit a larger number of observed variables than data…

Computation · Statistics 2018-06-26 Raj Agrawal , Tamara Broderick , Caroline Uhler