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Generating artificial data is a crucial step when performing Monte-Carlo simulation studies. Depending on the planned study, complex data generation processes (DGP) containing multiple, possibly time-varying, variables with various forms of…

Methodology · Statistics 2025-06-03 Robin Denz , Nina Timmesfeld

Bayesian networks (BNs) are widely used for modeling complex systems with uncertainty, yet repositories of pre-built BNs remain limited. This paper introduces bnRep, an open-source R package offering a comprehensive collection of documented…

Artificial Intelligence · Computer Science 2024-10-01 Manuele Leonelli

Score-based diffusion models demonstrate superior performance in generative tasks but encounter fundamental bottlenecks in inverse problems due to the analytical intractability of the time-dependent likelihood score. To bridge this gap, we…

Optimization and Control · Mathematics 2026-05-28 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

Multi-electrode neurophysiological recordings produce massive quantities of data. Multivariate time series analysis provides the basic framework for analyzing the patterns of neural interactions in these data. It has long been recognized…

Quantitative Methods · Quantitative Biology 2007-05-23 Mingzhou Ding , Yonghong Chen , Steven L. Bressler

Multi-output Gaussian process (MOGP) regression allows modelling dependencies among multiple correlated response variables. Similarly to standard Gaussian processes, MOGPs are sensitive to model misspecification and outliers, which can…

This article contributes to the discussion on the relationship between the Neyman-Rubin and the graphical frameworks for causal inference. We present specific examples of data-generating mechanisms - such as those involving undirected or…

Methodology · Statistics 2025-12-11 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

Probabilistic Graphical Models are often used to understand dynamics of a system. They can model relationships between features (nodes) and the underlying distribution. Theoretically these models can represent very complex dependency…

Machine Learning · Computer Science 2023-08-21 Harsh Shrivastava , Urszula Chajewska

Posterior sampling for high-dimensional Bayesian inverse problems is a common challenge in real-world applications. Randomized Maximum Likelihood (RML) is an optimization based methodology that gives samples from an approximation to the…

Computation · Statistics 2024-09-05 Valentin Breaz , Richard Wilkinson

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

Claiming causal inferences in network settings necessitates careful consideration of the often complex dependency between outcomes for actors. Of particular importance are treatment spillover or outcome interference effects. We consider…

Methodology · Statistics 2022-07-18 Duncan A. Clark , Mark S. Handcock

Mediation analysis is a powerful tool for studying causal pathways between exposure, mediator, and outcome variables of interest. While classical mediation analysis using observational data often requires strong and sometimes unrealistic…

Methodology · Statistics 2024-05-20 Rita Qiuran Lyu , Chong Wu , Xinwei Ma , Jingshen Wang

Mendelian randomization (MR) is a widely-used method to estimate the causal relationship between a risk factor and disease. A fundamental part of any MR analysis is to choose appropriate genetic variants as instrumental variables.…

Methodology · Statistics 2023-04-26 Ashish Patel , Francis J. DiTraglia , Verena Zuber , Stephen Burgess

It is common practice in using regression type models for inferring causal effects, that inferring the correct causal relationship requires extra covariates are included or ``adjusted for''. Without performing this adjustment erroneous…

Machine Learning · Statistics 2019-06-18 David Rohde

Mendelian randomization (MR) is an epidemiological method that can be used to strengthen causal inference regarding the relationship between a modifiable environmental exposure and a medically relevant trait and to estimate the magnitude of…

Quantitative Methods · Quantitative Biology 2023-08-30 David M Evans , George Davey Smith , Gunn-Helen Moen

Multi-omics data analysis has the potential to discover hidden molecular interactions, revealing potential regulatory and/or signal transduction pathways for cellular processes of interest when studying life and disease systems. One of…

Quantitative Methods · Quantitative Biology 2022-03-18 Arman Hasanzadeh , Ehsan Hajiramezanali , Nick Duffield , Xiaoning Qian

In this paper, the relationship between probabilistic graphical models, in particular Bayesian networks, and causal diagrams, also called structural causal models, is studied. Structural causal models are deterministic models, based on…

Artificial Intelligence · Computer Science 2026-04-24 Peter J. F. Lucas , Eleonora Zullo , Fabio Stella

We propose a novel unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation is to represent the pattern of links between records as a {\em…

Computation · Statistics 2014-03-04 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

Multi-Entity Bayesian Network (MEBN) is a knowledge representation formalism combining Bayesian Networks (BN) with First-Order Logic (FOL). MEBN has sufficient expressive power for general-purpose knowledge representation and reasoning.…

Machine Learning · Computer Science 2019-04-29 Cheol Young Park , Kathryn Blackmond Laskey

Random Forests [Breiman:2001] (RF) are a fully non-parametric statistical method requiring no distributional assumptions on covariate relation to the response. RF are a robust, nonlinear technique that optimizes predictive accuracy by…

Computation · Statistics 2016-12-30 John Ehrlinger

The R package (R Core Team (2016)) genMOSS is specifically designed for the Bayesian analysis of genome-wide association study data. The package implements the mode oriented stochastic search (MOSS) procedure as well as a simple moving…

Computation · Statistics 2016-11-24 Matthew Friedlander , Adrian Dobra , Helene Massam , Laurent Briollais
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