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We provide four case studies that use Bayesian machinery to making inductive reasoning. Our main motivation relies in offering several instances where the Bayesian approach to data analysis is exploited at its best to perform complex tasks,…

统计方法学 · 统计学 2021-11-18 Juan Sosa , Lina Buitrago

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…

机器学习 · 计算机科学 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

Brain networks characterize complex connectivities among brain regions as graph structures, which provide a powerful means to study brain connectomes. In recent years, graph neural networks have emerged as a prevalent paradigm of learning…

机器学习 · 计算机科学 2022-06-10 Yi Yang , Yanqiao Zhu , Hejie Cui , Xuan Kan , Lifang He , Ying Guo , Carl Yang

1. In Bayesian Network Regression models, networks are considered the predictors of continuous responses. These models have been successfully used in brain research to identify regions in the brain that are associated with specific human…

应用统计 · 统计学 2024-01-23 Samuel Ozminkowski , Claudia Solis-Lemus

Population analyses of functional connectivity have provided a rich understanding of how brain function differs across time, individual, and cognitive task. An important but challenging task in such population analyses is the identification…

社会与信息网络 · 计算机科学 2020-08-19 James D. Wilson , Melanie Baybay , Rishi Sankar , Paul Stillman , Abbie M. Popa

Graphical models, used to express conditional dependence between random variables observed at various nodes, are used extensively in many fields such as genetics, neuroscience, and social network analysis. While most current statistical…

统计方法学 · 统计学 2022-10-25 Jiajing Niu , Boyoung Hur , John Absher , D. Andrew Brown

A neural network computes a function. A central property of neural networks is that they are "universal approximators:" for a given continuous function, there exists a neural network that can approximate it arbitrarily well, given enough…

人工智能 · 计算机科学 2018-12-24 Arthur Choi , Ruocheng Wang , Adnan Darwiche

The bulk of the research effort on brain connectivity revolves around statistical associations among brain regions, which do not directly relate to the causal mechanisms governing brain dynamics. Here we propose the multiscale causal…

机器学习 · 计算机科学 2024-03-21 Gabriele D'Acunto , Francesco Bonchi , Gianmarco De Francisci Morales , Giovanni Petri

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

神经元与认知 · 定量生物学 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

In mapping the human structural connectome, we are in a very fortunate situation: one can compute and compare graphs, describing the cerebral connections between the very same, anatomically identified small regions of the gray matter among…

神经元与认知 · 定量生物学 2017-12-01 Mate Fellner , Balint Varga , Vince Grolmusz

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

计算机视觉与模式识别 · 计算机科学 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

统计方法学 · 统计学 2025-03-20 Juan Sosa , Carlo Martínez

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

Neuroscience is undergoing faster changes than ever before. Over 100 years our field qualitatively described and invasively manipulated single or few organisms to gain anatomical, physiological, and pharmacological insights. In the last 10…

神经元与认知 · 定量生物学 2016-08-12 Danilo Bzdok , B. T. Thomas Yeo

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

神经元与认知 · 定量生物学 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Significance testing aims to determine whether a proposition about the population distribution is the truth or not given observations. However, traditional significance testing often needs to derive the distribution of the testing…

机器学习 · 统计学 2024-01-25 Zehua Liu , Zimeng Li , Jingyuan Wang , Yue He

The last decades have seen significant advancements in non-invasive neuroimaging technologies that have been increasingly adopted to examine human brain development. However, these improvements have not necessarily been followed by more…

神经元与认知 · 定量生物学 2021-12-28 Mehrin Kiani , Javier Andreu-Perez , Hani Hagras , Silvia Rigato , Maria Laura Filippetti

The standard approaches to neural network implementation yield powerful function approximation capabilities but are limited in their abilities to learn meta representations and reason probabilistic uncertainties in their predictions.…

机器学习 · 计算机科学 2023-10-05 Saurav Jha , Dong Gong , Xuesong Wang , Richard E. Turner , Lina Yao

In this work we focus on examination and comparison of whole-brain functional connectivity patterns measured with fMRI across experimental conditions. Direct examination and comparison of condition-specific matrices is challenging due to…

应用统计 · 统计学 2013-01-02 Svetlana V. Shinkareva , Vladimir Gudkov , Jing Wang

Brain connectivity analysis based on magnetic resonance imaging is crucial for understanding neurological mechanisms. However, edge-based connectivity inference faces significant challenges, particularly the curse of dimensionality when…

统计方法学 · 统计学 2025-12-23 Zijing Li , Chenhao Zeng , Shufei Ge