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Genetic association studies for brain connectivity phenotypes have gained prominence due to advances in non-invasive imaging techniques and quantitative genetics. Brain connectivity traits, characterized by network configurations and unique…

Methodology · Statistics 2023-05-17 Xinyuan Tian , Yiting Wang , Selena Wang , Yi Zhao , Yize Zhao

Replicated network data are increasingly available in many research fields. In connectomic applications, inter-connections among brain regions are collected for each patient under study, motivating statistical models which can flexibly…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson , Joshua T. Vogelstein

For the diagnostic inference under uncertainty Bayesian networks are investigated. The method is based on an adequate uniform representation of the necessary knowledge. This includes both generic and experience-based specific knowledge,…

Artificial Intelligence · Computer Science 2022-10-11 Sebastian Flügge , Sandra Zimmer , Uwe Petersohn

Single-cell technologies have revolutionized biomedical research by enabling scalable measurement of the genome, transcriptome, and proteome of multiple systems at single-cell resolution. Now widely applied to cancer models, these assays…

Genomics · Quantitative Biology 2020-05-05 Allen W Zhang , Kieran R Campbell

Gene set analysis, a popular approach for analyzing high-throughput gene expression data, aims to identify sets of related genes that show significantly enriched or depleted expression patterns between different conditions. In the last…

The analysis and interpretation of relationships between biological molecules is done with the help of networks. Networks are used ubiquitously throughout biology to represent the relationships between genes and gene products. Network…

Computational Engineering, Finance, and Science · Computer Science 2012-11-13 Rashmi Rameshwari , T. V. Prasad

Convolutional neural networks (CNNs) provide flexible function approximations for a wide variety of applications when the input variables are in the form of images or spatial data. Although CNNs often outperform traditional statistical…

Methodology · Statistics 2024-05-24 Yeseul Jeon , Won Chang , Seonghyun Jeong , Sanghoon Han , Jaewoo Park

Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be estimated from observed data. Ideally we would have…

Computation · Statistics 2018-03-13 Richard J. Boys , Holly F. Ainsworth , Colin S. Gillespie

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

Bayesian probabilistic numerical methods for numerical integration offer significant advantages over their non-Bayesian counterparts: they can encode prior information about the integrand, and can quantify uncertainty over estimates of an…

Machine Learning · Statistics 2023-09-12 Katharina Ott , Michael Tiemann , Philipp Hennig , François-Xavier Briol

Despite the huge success of deep neural networks (NNs), finding good mechanisms for quantifying their prediction uncertainty is still an open problem. Bayesian neural networks are one of the most popular approaches to uncertainty…

Machine Learning · Statistics 2020-01-01 Agustinus Kristiadi , Sina Däubener , Asja Fischer

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

Genomic phenotypes, such as DNA methylation and chromatin accessibility, can be used to characterize the transcriptional and regulatory activity of DNA within a cell. Recent technological advances have made it possible to measure such…

Methodology · Statistics 2016-11-15 Jean Morrison , Noah Simon , Daniela Witten

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

With the progressive scale-down of semiconductor's feature size, people are looking forward to More Moore and More than Moore. In order to offer a possible alternative implementation process, people are trying to figure out a feasible…

Emerging Technologies · Computer Science 2018-07-06 Chuan Zhang , Lulu Ge , Yuchen Zhuang , Ziyuan Shen , Zhiwei Zhong , Zaichen Zhang , Xiaohu You

Bayesian hierarchical Poisson models are an essential tool for analyzing count data. However, designing efficient algorithms to sample from the posterior distribution of the target parameters remains a challenging task for this class of…

Methodology · Statistics 2025-02-10 Aldo Gardini , Fedele Greco , Carlo Trivisano

The computation of two Bayesian predictive distributions which are discrete mixtures of incomplete beta functions is considered. The number of iterations can easily become large for these distributions and thus, the accuracy of the result…

Statistics Theory · Mathematics 2007-06-13 Jacques Poitevineau , Bruno Lecoutre

Parameter estimation for model-based clustering using a finite mixture of normal inverse Gaussian (NIG) distributions is achieved through variational Bayes approximations. Univariate NIG mixtures and multivariate NIG mixtures are…

Methodology · Statistics 2017-10-09 Sanjeena Subedi , Paul D. McNicholas

Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

Computation · Statistics 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson
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