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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

The emergence of multi-parametric magnetic resonance imaging (mpMRI) has had a profound impact on the diagnosis of prostate cancers (PCa), which is the most prevalent malignancy in males in the western world, enabling a better selection of…

Lesions characterized by computed tomography (CT) scans, are arguably often elliptical objects. However, current lesion detection systems are predominantly adopted from the popular Region Proposal Networks (RPNs) that only propose bounding…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Yi Li

Multivariate count models are often justified by their ability to capture latent dependence, but researchers receive little guidance on when this added structure improves on simpler penalized marginal Poisson regression. We study this…

Machine Learning · Computer Science 2026-04-07 Daniel Agyapong , Julien Chiquet , Jane Marks , Toby Dylan Hocking

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

The Poisson equation is commonly encountered in engineering, for instance in computational fluid dynamics (CFD) where it is needed to compute corrections to the pressure field to ensure the incompressibility of the velocity field. In the…

We address the task of identifying densely connected subsets of multivariate Gaussian random variables within a graphical model framework. We propose two novel estimators based on the Ordered Weighted $\ell_1$ (OWL) norm: 1) The Graphical…

Machine Learning · Statistics 2020-11-20 Cody Mazza-Anthony , Bogdan Mazoure , Mark Coates

Over-smoothing remains a major challenge in Graph Neural Networks (GNNs), where repeated message passing causes node representations to converge and lose discriminative power. To address this, we propose a novel node selection strategy…

Machine Learning · Computer Science 2025-05-29 Hyunsik Yun

Statistical inference on the mean of a Poisson distribution is a fundamentally important problem with modern applications in, e.g., particle physics. The discreteness of the Poisson distribution makes this problem surprisingly challenging,…

Methodology · Statistics 2012-07-03 Ryan Martin , Duncan Ermini Leaf , Chuanhai Liu

We introduce the Poisson Log-Normal Graphical Model for count data, and present a normality transformation for data arising from this distribution. The model and transformation are feasible for high-throughput microRNA (miRNA) sequencing…

Computation · Statistics 2017-08-16 David Sinclair , Giles Hooker

The classification of MRI images according to the anatomical field of view is a necessary task to solve when faced with the increasing quantity of medical images. In parallel, advances in deep learning makes it a suitable tool for computer…

Machine Learning · Computer Science 2017-01-17 Hadrien Bertrand , Matthieu Perrot , Roberto Ardon , Isabelle Bloch

Gaussian Process Networks (GPNs) are a class of directed graphical models which employ Gaussian processes as priors for the conditional expectation of each variable given its parents in the network. The model allows the description of…

Machine Learning · Statistics 2024-02-20 Enrico Giudice , Jack Kuipers , Giusi Moffa

Neural networks capable of accurate, input-conditional uncertainty representation are essential for real-world AI systems. Deep ensembles of Gaussian networks have proven highly effective for continuous regression due to their ability to…

Machine Learning · Computer Science 2025-10-02 Spencer Young , Porter Jenkins , Longchao Da , Jeff Dotson , Hua Wei

Bayesian networks are a powerful framework for studying the dependency structure of variables in a complex system. The problem of learning Bayesian networks is tightly associated with the given data type. Ordinal data, such as stages of…

Methodology · Statistics 2021-11-15 Xiang Ge Luo , Giusi Moffa , Jack Kuipers

Intensity estimation for Poisson processes is a classical problem and has been extensively studied over the past few decades. Practical observations, however, often contain compositional noise, i.e. a nonlinear shift along the time axis,…

Methodology · Statistics 2019-09-25 Glenna Schluck , Wei Wu , Anuj Srivastava

A major goal in genomics is to properly capture the complex dynamical behaviors of gene regulatory networks (GRNs). This includes inferring the complex interactions between genes, which can be used for a wide range of genomics analyses,…

Molecular Networks · Quantitative Biology 2023-01-18 Mohammad Alali , Mahdi Imani

While the Gleason score is the most important prognostic marker for prostate cancer patients, it suffers from significant observer variability. Artificial Intelligence (AI) systems, based on deep learning, have proven to achieve…

Image-to-image translation is an ill-posed problem as unique one-to-one mapping may not exist between the source and target images. Learning-based methods proposed in this context often evaluate the performance on test data that is similar…

Image and Video Processing · Electrical Eng. & Systems 2021-10-08 Uddeshya Upadhyay , Viswanath P. Sudarshan , Suyash P. Awate

While Bayesian neural networks have many appealing characteristics, current priors do not easily allow users to specify basic properties such as expected lengthscale or amplitude variance. In this work, we introduce Poisson Process Radial…

Machine Learning · Computer Science 2019-12-13 Beau Coker , Melanie F. Pradier , Finale Doshi-Velez

Obtaining a reliable estimate of the joint probability mass function (PMF) of a set of random variables from observed data is a significant objective in statistical signal processing and machine learning. Modelling the joint PMF as a tensor…

Machine Learning · Statistics 2026-02-03 Joseph K. Chege , Arie Yeredor , Martin Haardt