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Bayesian interpretations of neural processing require that biological mechanisms represent and operate upon probability distributions in accordance with Bayes' theorem. Many have speculated that synaptic failure constitutes a mechanism of…

Neurons and Cognition · Quantitative Biology 2022-10-05 Kevin McKee , Ian Crandell , Rishidev Chaudhuri , Randall O'Reilly

This paper explores Bayesian inference for a biased sampling model in situations where the population of interest cannot be sampled directly, but rather through an indirect and inherently biased method. Observations are viewed as being the…

Applications · Statistics 2007-11-26 Russell Zaretzki , Michael A. Gilchrist , William M. Briggs , Artin Armagan

In recent years, disease mapping studies have become a routine application within geographical epidemiology and are typically analysed within a Bayesian hierarchical model formulation. A variety of model formulations for the latent level…

Methodology · Statistics 2016-01-07 Andrea Riebler , Sigrunn H. Sørbye , Daniel Simpson , Håvard Rue

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Populations and Evolution · Quantitative Biology 2020-04-02 Karen Larson , Clark Bowman , Zhizhong Chen , Panagiotis Hadjidoukas , Costas Papadimitriou , Petros Koumoutsakos , Anastasios Matzavinos

This study addresses the challenges of symptom evolution complexity and insufficient temporal dependency modeling in Parkinson's disease progression prediction. It proposes a unified prediction framework that integrates structural…

Machine Learning · Computer Science 2025-08-22 Jiacheng Hu , Bo Zhang , Ting Xu , Haifeng Yang , Min Gao

It has been estimated that about 30% of the genes in the human genome are regulated by microRNAs (miRNAs). These are short RNA sequences that can down-regulate the levels of mRNAs or proteins in animals and plants. Genes regulated by miRNAs…

Applications · Statistics 2011-01-10 Francesco C. Stingo , Yian A. Chen , Marina Vannucci , Marianne Barrier , Philip E. Mirkes

We expand Mendelian Randomization (MR) methodology to deal with randomly missing data on either the exposure or the outcome variable, and furthermore with data from nonindependent individuals (eg components of a family). Our method rests on…

While probabilistic models are an important tool for studying causality, doing so suffers from the intractability of inference. As a step towards tractable causal models, we consider the problem of learning interventional distributions…

Machine Learning · Computer Science 2021-10-26 Matej Zečević , Devendra Singh Dhami , Athresh Karanam , Sriraam Natarajan , Kristian Kersting

Epigenetic observations are represented by the total number of reads from a given pool of cells and the number of methylated reads, making it reasonable to model this data by a binomial distribution. There are numerous factors that can…

Applications · Statistics 2020-04-29 Aliaksandr Hubin , Geir O Storvik , Paul E Grini , Melinka A Butenko

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

Software systems are complex, and behavioral comprehension with the increasing amount of AI components challenges traditional testing and maintenance strategies.The lack of tools and methodologies for behavioral software comprehension…

Software Engineering · Computer Science 2019-12-19 Hannes Thaller , Lukas Linsbauer , Rudolf Ramler , Alexander Egyed

The vast amount of biological knowledge accumulated over the years has allowed researchers to identify various biochemical interactions and define different families of pathways. There is an increased interest in identifying pathways and…

Applications · Statistics 2011-11-24 Francesco C. Stingo , Yian A. Chen , Mahlet G. Tadesse , Marina Vannucci

Bayesian inference in deep neural networks is challenging due to the high-dimensional, strongly multi-modal parameter posterior density landscape. Markov chain Monte Carlo approaches asymptotically recover the true posterior but are…

Disease mapping is the field of spatial epidemiology interested in estimating the spatial pattern in disease risk across $n$ areal units. One aim is to identify units exhibiting elevated disease risks, so that public health interventions…

Applications · Statistics 2013-11-05 Craig Anderson , Duncan Lee , Nema Dean

We consider Markov jump processes describing structured populations with interactions via density dependance. We propose a Markov construction with a distinguished individual which allows to describe the random tree and random sample at a…

Probability · Mathematics 2022-07-20 Vincent Bansaye

This paper represents a groundbreaking advancement in Parkinson disease (PD) research by employing a novel machine learning framework to categorize PD into distinct subtypes and predict its progression. Utilizing a comprehensive dataset…

Machine Learning · Computer Science 2024-06-12 Ashwin Ram

Early, reliable detection of disease outbreaks is a critical problem today. This paper reports an investigation of the use of causal Bayesian networks to model spatio-temporal patterns of a non-contagious disease (respiratory anthrax…

Applications · Statistics 2012-07-19 Gregory F. Cooper , Denver Dash , John Levander , Weng-Keen Wong , William Hogan , Michael Wagner

Frequentist and likelihood methods of inference based on the multivariate skew-normal model encounter several technical difficulties with this model. In spite of the popularity of this class of densities, there are no broadly satisfactory…

Methodology · Statistics 2013-02-06 Brunero Liseo , Antonio Parisi

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

Mathematical models represent one of the fundamental ways of studying nature. In special, epidemic models have shown to be particularly useful in the understanding of the course of diseases and in the planning effective control policies. A…

Physics and Society · Physics 2022-10-19 Paulo C. Ventura , Eric K. Tokuda , Luciano da F. Costa , Francisco A. Rodrigues