1 citations · 1 across the 8 of their papers we have counts for
10 papers
On the sensitivity to hyperparameters of a Bayesian method to infer selection signatures
Carlos A. Martinez, Ronnal E. Ortiz, Nelson A. Cruz +2
Motivated by a real-life problem, namely, inferring genomic regions affected by selection, we studied some properties of a two-step method that performs this task based on the FST.…
Bayesian Selection of Edge Spectral Modes for Crash Counts on Urban Road Networks with Applications in Barcelona and Bogotá
Danna L. Cruz-Reyes, Juan Sosa, Carlos A. Martínez
Crash counts on urban road networks exhibit spatial dependence driven by road connectivity rather than Euclidean proximity alone. We propose a Bayesian negative binomial model that…
Uncovering latent territorial structure in ICFES Saber 11 performance with Bayesian multilevel spatial models
Laura Pardo, Juan Sosa, Juan Pablo Torres-Clavijo +1
This article develops a Bayesian hierarchical framework to analyze academic performance in the 2022 second semester Saber 11 examination in Colombia. Our approach combines multilev…
Variational Inference for Fully Bayesian Hierarchical Linear Models
Cristian Parra-Aldana, Juan Sosa
Bayesian hierarchical linear models provide a natural framework to analyze nested and clustered data. Classical estimation with Markov chain Monte Carlo produces well calibrated po…
Peace Sells, But Whose Songs Connect? Bayesian Multilayer Network Analysis of the Big 4 of Thrash Metal
Juan Sosa, Erika Martínez, Danna L. Cruz-Reyes
We propose a Bayesian framework for multilayer song similarity networks and apply it to the complete studio discographies of the "Big 4" of thrash metal (Metallica, Slayer, Megadet…
The Bayesian Way: Uncertainty, Learning, and Statistical Reasoning
Juan Sosa, Carlos A. Martínez, Danna Cruz
This paper offers a comprehensive introduction to Bayesian inference, combining historical context, theoretical foundations, and core analytical examples. Beginning with Bayes' the…
Spherical latent space models for social network analysis
Juan Sosa, Carlos Nosa
This article introduces a spherical latent space model for social network analysis, embedding actors on a hypersphere rather than in Euclidean space as in standard latent space mod…
Hybrid Bayesian Models for Community Detection with Application to a Colombian Conflict Network
Juan Sosa, Eleni Dilma, Brenda Betancourt
We introduce a flexible Bayesian framework for clustering nodes in undirected binary networks, motivated by the need to uncover structural patterns in complex environments. Buildin…
Bayesian Inference of Geometric Brownian Motion: An Extension with Jumps
Yifei Yan, Juan Sosa, Carlos Martínez
This analysis derives the maximum likelihood estimator and applies Bayesian inference to model geometric Brownian motion, incorporating jump diffusion to account for sudden market…
Advances in Bayesian Modeling: Applications and Methods
Yifei Yan, Juan Sosa, Carlos A. Martínez
This paper explores the versatility and depth of Bayesian modeling by presenting a comprehensive range of applications and methods, combining Markov chain Monte Carlo (MCMC) techni…