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We define a latent structure model (LSM) random graph as a random dot product graph (RDPG) in which the latent position distribution incorporates both probabilistic and geometric constraints, delineated by a family of underlying…

Methodology · Statistics 2020-04-20 Avanti Athreya , Minh Tang , Youngser Park , Carey E. Priebe

Random graphs are increasingly becoming objects of interest for modeling networks in a wide range of applications. Latent position random graph models posit that each node is associated with a latent position vector, and that these vectors…

Machine Learning · Statistics 2024-05-08 Aranyak Acharyya , Joshua Agterberg , Michael W. Trosset , Youngser Park , Carey E. Priebe

The brain's intricate connectome, a blueprint for its function, presents immense complexity, yet it arises from a compact genetic code, hinting at underlying low-dimensional organizational principles. This work bridges connectomics and…

Artificial Intelligence · Computer Science 2025-05-28 Yubin Li , Xingyu Liu , Guozhang Chen

Decoding the heterogeneity of biological neural systems is key to understanding the nervous system's complex dynamical behaviors. This study analyzes the comprehensive Drosophila brain connectome, which is the most recent data set,…

Neurons and Cognition · Quantitative Biology 2025-10-01 Xiaoyu Zhang , Pengcheng Yang , Yifei Zhang , Bowei Qin , Qiang Luo , Wei Lin , Xin Lu

We propose an integrated deep-generative framework, that jointly models complementary information from resting-state functional MRI (rs-fMRI) connectivity and diffusion tensor imaging (DTI) tractography to extract predictive biomarkers of a…

Latent space models (LSM) for network data were introduced by Hoff et al. (2002) under the basic assumption that each node of the network has an unknown position in a D-dimensional Euclidean latent space: generally the smaller the distance…

Methodology · Statistics 2014-09-26 Isabella Gollini , Thomas Brendan Murphy

We develop here a semiparametric Gaussian mixture model (SGMM) for unsupervised learning with valuable spatial information taken into consideration. Specifically, we assume for each instance a random location. Then, conditional on this…

Methodology · Statistics 2025-10-21 Baichen Yu , Jin Liu , Hansheng Wang

We present a didactic introduction to spectral Dynamic Causal Modelling (DCM), a Bayesian state-space modelling approach used to infer effective connectivity from non-invasive neuroimaging data. Spectral DCM is currently the most widely…

Neurons and Cognition · Quantitative Biology 2023-09-07 Leonardo Novelli , Karl Friston , Adeel Razi

While linear mixed model (LMM) has shown a competitive performance in correcting spurious associations raised by population stratification, family structures, and cryptic relatedness, more challenges are still to be addressed regarding the…

Machine Learning · Computer Science 2023-02-15 Wenting Ye , Xiang Liu , Tianwei Yue , Wenping Wang

Naturally occurring networks exhibit quantitative features revealing underlying growth mechanisms. Numerous network mechanisms have recently been proposed to reproduce specific properties such as degree distributions or clustering…

Quantitative Methods · Quantitative Biology 2009-11-10 Manuel Middendorf , Etay Ziv , Chris Wiggins

We conduct an imaging genetics study to explore how effective brain connectivity in the default mode network (DMN) may be related to genetics within the context of Alzheimer's disease and mild cognitive impairment. We develop an analysis of…

Neurons and Cognition · Quantitative Biology 2020-06-03 Yunlong Nie , Eugene Opoku , Laila Yasmin , Yin Song , Jie Wang , Sidi Wu , Vanessa Scarapicchia , Jodie Gawryluk , Liangliang Wang , Jiguo Cao , Farouk S. Nathoo

Graph representation learning is a fundamental problem for modeling relational data and benefits a number of downstream applications. Traditional Bayesian-based graph models and recent deep learning based GNN either suffer from…

Machine Learning · Computer Science 2024-03-27 Hanxuan Yang , Qingchao Kong , Wenji Mao

Spectral embedding of network adjacency matrices often produces node representations living approximately around low-dimensional submanifold structures. In particular, hidden substructure is expected to arise when the graph is generated…

Machine Learning · Statistics 2022-06-27 Francesco Sanna Passino , Nicholas A. Heard

Semi-supervised learning algorithms reduce the high cost of acquiring labeled training data by using both labeled and unlabeled data during learning. Deep Convolutional Networks (DCNs) have achieved great success in supervised tasks and as…

Machine Learning · Statistics 2016-12-07 Tan Nguyen , Wanjia Liu , Ethan Perez , Richard G. Baraniuk , Ankit B. Patel

We propose a network structure discovery model for continuous observations that generalizes linear causal models by incorporating a Gaussian process (GP) prior on a network-independent component, and random sparsity and weight matrices as…

Machine Learning · Computer Science 2017-03-01 Amir Dezfouli , Edwin V. Bonilla , Richard Nock

Mapping the connectivity of neurons in the brain (i.e., connectomics) is a challenging problem due to both the number of connections in even the smallest organisms and the nanometer resolution required to resolve them. Because of this,…

Neurons and Cognition · Quantitative Biology 2014-09-08 Ting Zhao , Stephen M Plaza

We propose a novel integrated framework that jointly models complementary information from resting-state functional MRI (rs-fMRI) connectivity and diffusion tensor imaging (DTI) tractography to extract biomarkers of brain connectivity…

Substantial evidence indicates that major psychiatric disorders are associated with distributed neural dysconnectivity, leading to strong interest in using neuroimaging methods to accurately predict disorder status. In this work, we are…

Machine Learning · Statistics 2014-03-26 Takanori Watanabe , Daniel Kessler , Clayton Scott , Michael Angstadt , Chandra Sripada

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

Methodology · Statistics 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

Understanding the relationship between cognition and intrinsic brain activity through purely data-driven approaches remains a significant challenge in neuroscience. Resting-state functional magnetic resonance imaging (rs-fMRI) offers a…

Machine Learning · Computer Science 2024-11-01 Yutong Gao , Vince D. Calhoun , Robyn L. Miller
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