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Traditionally, the sensitivity analysis of a Bayesian network studies the impact of individually modifying the entries of its conditional probability tables in a one-at-a-time (OAT) fashion. However, this approach fails to give a…

Artificial Intelligence · Computer Science 2024-06-11 Rafael Ballester-Ripoll , Manuele Leonelli

In this paper we propose a Bayesian approach for inference about dependence of high throughput gene expression. Our goals are to use prior knowledge about pathways to anchor inference about dependence among genes; to account for this…

Applications · Statistics 2012-06-29 Donatello Telesca , Peter Müller , Giovanni Parmigiani , Ralph S. Freedman

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

A gamma process dynamic Poisson factor analysis model is proposed to factorize a dynamic count matrix, whose columns are sequentially observed count vectors. The model builds a novel Markov chain that sends the latent gamma random variables…

Machine Learning · Statistics 2015-12-31 Ayan Acharya , Joydeep Ghosh , Mingyuan Zhou

Integrating heterogeneous biomedical data including imaging, omics, and clinical records supports accurate diagnosis and personalised care. Graph-based models fuse such non-Euclidean data by capturing spatial and relational structure, yet…

Genomics · Quantitative Biology 2025-05-06 Alireza Sadeghi , Farshid Hajati , Ahmadreza Argha , Nigel H Lovell , Min Yang , Hamid Alinejad-Rokny

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

Applications · Statistics 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

The location, timing, and abundance of gene expression (both mRNA and proteins) within a tissue define the molecular mechanisms of cell functions. Recent technology breakthroughs in spatial molecular profiling, including imaging-based…

Applications · Statistics 2020-12-10 Qiwei Li , Minzhe Zhang , Yang Xie , Guanghua Xiao

Single-cell RNA sequencing (scRNA-seq) data exhibit strong and reproducible statistical structure. This has motivated the development of large-scale foundation models, such as TranscriptFormer, that use transformer-based architectures to…

Genomics · Quantitative Biology 2026-02-19 Huan Souza , Pankaj Mehta

Modeling biological sequences such as DNA, RNA, and proteins is crucial for understanding complex processes like gene regulation and protein synthesis. However, most current models either focus on a single type or treat multiple types of…

Genomics · Quantitative Biology 2024-10-16 Weixi Xiang , Xueting Han , Xiujuan Chai , Jing Bai

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

Methodology · Statistics 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty

Modern time series forecasting methods, such as Transformer and its variants, have shown strong ability in sequential data modeling. To achieve high performance, they usually rely on redundant or unexplainable structures to model complex…

Machine Learning · Computer Science 2023-11-30 Jingyi Hou , Zhen Dong , Jiayu Zhou , Zhijie Liu

We introduce a flexible, scalable Bayesian inference framework for nonlinear dynamical systems characterised by distinct and hierarchical variability at the individual, group, and population levels. Our model class is a generalisation of…

Machine Learning · Statistics 2019-10-03 Geoffrey Roeder , Paul K. Grant , Andrew Phillips , Neil Dalchau , Edward Meeds

Machine learning offers promising methods for processing signals recorded with wearable devices such as surface electromyography (sEMG) and electroencephalography (EEG). However, in these applications, despite high within-session…

Machine Learning · Computer Science 2025-01-30 Joao Pereira , Michael Alummoottil , Dimitrios Halatsis , Dario Farina

This study examines the application of Bayesian approach in the context of clinical trials, emphasizing their increasing importance in contemporary biomedical research. While conventional frequentist approach provides a foundational basis…

Methodology · Statistics 2026-01-16 Paramahansa Pramanik , Arnab Kumar Maity , Anjan Mandal , Haley Kate Robinson

We develop a Bayesian approach for selecting the model which is the most supported by the data within a class of marginal models for categorical variables formulated through equality and/or inequality constraints on generalised logits…

Statistics Theory · Mathematics 2012-02-21 Francesco Bartolucci , Luisa Scaccia , Alessio Farcomeni

Accurate prediction of cancer progression remains a challenge due to the high heterogeneity of molecular omics data across patients. While biologically informed models have improved the interpretability of these predictions, a persistent…

Machine Learning · Computer Science 2026-04-21 Koushik Howlader , Md Tauhidul Islam , Wei Le

Diagnosing an inherited disease often requires identifying the pattern of inheritance in a patient's family. We represent family trees with genetic patterns of inheritance using hypergraphs and latent state space models to provide…

Machine Learning · Statistics 2018-12-06 Edmond Cunningham , Dana Schlegel , Andrew DeOrio

Addressing selection bias in latent variable causal discovery is important yet underexplored, largely due to a lack of suitable statistical tools: While various tools beyond basic conditional independencies have been developed to handle…

Machine Learning · Computer Science 2025-12-15 Haoyue Dai , Yiwen Qiu , Ignavier Ng , Xinshuai Dong , Peter Spirtes , Kun Zhang

Generative models such as Generative Adversarial Networks (GANs) and Variational Autoencoders (VAEs) play an increasingly important role in medical image analysis. The latent spaces of these models often show semantically meaningful…

Image and Video Processing · Electrical Eng. & Systems 2022-07-21 Julian Schön , Raghavendra Selvan , Jens Petersen

Oscillations lie at the core of many biological processes, from the cell cycle, to circadian oscillations and developmental processes. Time-keeping mechanisms are essential to enable organisms to adapt to varying conditions in environmental…

Machine Learning · Statistics 2015-04-27 D Trejo , AJ Millar , G Sanguinetti
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