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Our goal in this paper is to leverage the potential of the topological signal processing (TSP) framework for analyzing brain networks. Representing brain data as signals over simplicial complexes allows us to capture higher-order…

信号处理 · 电气工程与系统科学 2025-04-11 Breno C. Bispo , Stefania Sardellitti , Fernando A. N. Santos , Juliano B. Lima

This paper represents a contribution to the study of the brain functional connectivity from the perspective of complex networks theory. More specifically, we apply graph theoretical analyses to provide evidence of the modular structure of…

神经元与认知 · 定量生物学 2016-09-06 Giampiero Bardella , Angelo Bifone , Andrea Gabrielli , Alessandro Gozzi , Tiziano Squartini

The idea that complex systems have a hierarchical modular organization originates in the early 1960s and has recently attracted fresh support from quantitative studies of large scale, real-life networks. Here we investigate the hierarchical…

数据分析、统计与概率 · 物理学 2010-04-20 D. Meunier , R. Lambiotte , A. Fornito , K. D. Ersche , E. T. Bullmore

Gaussian Mixture Models (GMMs) are a standard tool in data analysis. However, they face problems when applied to high-dimensional data (e.g., images) due to the size of the required full covariance matrices (CMs), whereas the use of…

机器学习 · 计算机科学 2023-08-29 Alexander Gepperth

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo

High-dimensional and sparse (HiDS) matrices are omnipresent in a variety of big data-related applications. Latent factor analysis (LFA) is a typical representation learning method that extracts useful yet latent knowledge from HiDS matrices…

机器学习 · 计算机科学 2022-04-19 Di Wu , Peng Zhang , Yi He , Xin Luo

The study of hierarchy in networks of the human brain has been of significant interest among the researchers as numerous studies have pointed out towards a functional hierarchical organization of the human brain. This paper provides a novel…

神经元与认知 · 定量生物学 2021-03-02 Dushyant Sahoo , Theodore D. Satterthwaite , Christos Davatzikos

The main goal of this study is to extract a set of brain networks in multiple time-resolutions to analyze the connectivity patterns among the anatomic regions for a given cognitive task. We suggest a deep architecture which learns the…

Mixtures of factor analysers (MFA) models represent a popular tool for finding structure in data, particularly high-dimensional data. While in most applications the number of clusters, and especially the number of latent factors within…

统计方法学 · 统计学 2023-07-17 Margarita Grushanina , Sylvia Frühwirth-Schnatter

There has been increasing interests in learning resting-state brain functional connectivity of autism disorders using functional magnetic resonance imaging (fMRI) data. The data in a standard brain template consist of over 200,000 voxel…

统计方法学 · 统计学 2016-03-22 Jichun Xie , Jian Kang

Multimodal Sentiment Analysis (MSA) is an important research area that aims to understand and recognize human sentiment through multiple modalities. The complementary information provided by multimodal fusion promotes better sentiment…

Diffusion Magnetic Resonance Imaging (MRI) exploits the anisotropic diffusion of water molecules in the brain to enable the estimation of the brain's anatomical fiber tracts at a relatively high resolution. In particular, tractographic…

计算工程、金融与科学 · 计算机科学 2016-09-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

Based on structured data derived from large complex systems, we computationally further develop and refine a major factor selection protocol by accommodating structural dependency and heterogeneity among many features to unravel data's…

统计方法学 · 统计学 2022-09-07 Hsieh Fushing , Elizabeth Chou , Ting-Li Chen

Network structure is growing popular for capturing the intrinsic relationship between large-scale variables. In the paper we propose to improve the estimation accuracy for large-dimensional factor model when a network structure between…

统计方法学 · 统计学 2020-01-30 Long Yu , Yong He , Xinsheng Zhang , Ji Zhu

Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the…

斑图形成与孤子 · 物理学 2025-07-11 Bosiljka Tadic , Marija Mitrovic Dankulov , Roderick Melnik

Neuroimaging studies produce gigabytes of spatio-temporal data for a small number of participants and stimuli. Rarely do researchers attempt to model and examine how individual participants vary from each other -- a question that should be…

Integrating various data modalities brings valuable insights into underlying phenomena. Multimodal factor analysis (FA) uncovers shared axes of variation underlying different simple data modalities, where each sample is represented by a…

机器学习 · 计算机科学 2025-04-29 Małgorzata Łazęcka , Ewa Szczurek

Confirmatory factor analysis (CFA) is a statistical method for identifying and confirming the presence of latent factors among observed variables through the analysis of their covariance structure. Compared to alternative factor models, CFA…

统计方法学 · 统计学 2024-10-08 Yifan Yang , Tianzhou Ma , Chuan Bi , Shuo Chen

This work proposes a generative modeling-aided channel estimator based on mixtures of factor analyzers (MFA). In an offline step, the parameters of the generative model are inferred via an expectation-maximization (EM) algorithm in order to…

信号处理 · 电气工程与系统科学 2023-05-02 Benedikt Fesl , Nurettin Turan , Wolfgang Utschick

Large tensor (multi-dimensional array) data are now routinely collected in a wide range of applications, due to modern data collection capabilities. Often such observations are taken over time, forming tensor time series. In this paper we…

统计方法学 · 统计学 2020-05-20 Rong Chen , Dan Yang , Cun-hui Zhang