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The classification of random objects within metric spaces without a vector structure has attracted increasing attention. However, the complexity inherent in such non-Euclidean data often restricts existing models to handle only a limited…

Methodology · Statistics 2024-03-20 Shuaida He , Jiaqi Li , Xin Chen

Autism spectrum disorder (ASD) is a complex neurodevelopmental condition characterized by atypical functional brain connectivity and subtle structural alterations. rs-fMRI has been widely used to identify disruptions in large-scale brain…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Ansar Rahman , Hassan Shojaee-Mend , Sepideh Hatamikia

Undirected graphical models are a key component in the analysis of complex observational data in a large variety of disciplines. In many of these applications one is interested in estimating the undirected graphical model underlying a…

Applications · Statistics 2015-10-21 Jonas M. B. Haslbeck , Lourens J. Waldorp

Multi-dimensional functional data arises in numerous modern scientific experimental and observational studies. In this paper we focus on longitudinal functional data, a structured form of multidimensional functional data. Operating within a…

Methodology · Statistics 2019-09-20 John Shamshoian , Damla Senturk , Shafali Jeste , Donatello Telesca

Structural and functional neuroimaging modalities provide complementary windows into brain organization: structural imaging characterizes neural tissue anatomy and microstructure, while functional imaging captures dynamic patterns of neural…

Methodology · Statistics 2026-03-24 Sakul Mahat , Sharmistha Guha , Jessica Bernard

This paper proposes a novel approach of integrating different neuroimaging techniques to characterize an autistic brain. Different techniques like EEG, fMRI and DTI have traditionally been used to find biomarkers for autism, but there have…

Converging evidence indicates that the heterogeneity of cognitive profiles may arise through detectable alternations in brain functions. Particularly, brain functional connectivity, measured under resting and cognitive states, characterizes…

Applications · Statistics 2023-02-22 Tianqi Chen , Chichun Tan , Hongyu Zhao , Todd Constable , Sarah Yip , Yize Zhao

Mixed membership models, or partial membership models, are a flexible unsupervised learning method that allows each observation to belong to multiple clusters. In this paper, we propose a Bayesian mixed membership model for functional data.…

The goal of the present study is to identify autism using machine learning techniques and resting-state brain imaging data, leveraging the temporal variability of the functional connections (FC) as the only information. We estimated and…

Neurons and Cognition · Quantitative Biology 2017-12-22 Ravi Tejwani , Adam Liska , Hongyuan You , Jenna Reinen , Payel Das

While the prevalence of Autism Spectrum Disorder (ASD) is increasing, research continues in an effort to identify common etiological and pathophysiological bases. In this regard, modern machine learning and network science pave the way for…

Image and Video Processing · Electrical Eng. & Systems 2020-08-06 Sarah Itani , Dorina Thanou

Object oriented data analysis is the statistical analysis of populations of complex objects. In the special case of functional data analysis, these data objects are curves, where standard Euclidean approaches, such as principal component…

Statistics Theory · Mathematics 2007-12-18 Haonan Wang , J. S. Marron

The enduring legacy of Euclidean geometry underpins classical machine learning, which, for decades, has been primarily developed for data lying in Euclidean space. Yet, modern machine learning increasingly encounters richly structured data…

Accurate diagnosis of autism spectrum disorder (ASD) based on neuroimaging data has significant implications, as extracting useful information from neuroimaging data for ASD detection is challenging. Even though machine learning techniques…

Machine Learning · Computer Science 2022-06-13 Ruimin Ma , Yanlin Wang , Yanjie Wei , Yi Pan

Mixed membership models extend classical clustering by substituting the notion of uncertain membership with the notion of mixed membership. In particular, these models allow each observation to partially belong to multiple pure membership…

Methodology · Statistics 2026-04-14 Donatello Telesca , Nicholas Marco , Emma Landry

Mixed membership models are a flexible class of probabilistic data representations used for unsupervised and semi-supervised learning, allowing each observation to partially belong to multiple clusters or features. In this manuscript, we…

There is increasing evidence on the importance of brain morphology in predicting and classifying mental disorders. However, the vast majority of current shape approaches rely heavily on vertex-wise analysis that may not successfully capture…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Yuexuan Wu , Suprateek Kundu , Jennifer S. Stevens , Negar Fani , Anuj Srivastava

There are partially separable data types that make classification tasks very hard. In other words, only parts of the data are informative meaning that looking at the rest of the data would not give any distinguishable hint for…

Machine Learning · Computer Science 2021-03-12 Aida Khozaei , Hadi Moradi , Reshad Hosseini

At this moment, databanks worldwide contain brain images of previously unimaginable numbers. Combined with developments in data science, these massive data provide the potential to better understand the genetic underpinnings of brain…

Machine Learning · Statistics 2025-01-30 Santiago Silva , Boris Gutman , Eduardo Romero , Paul M Thompson , Andre Altmann , Marco Lorenzi

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

We present an approach to study functional segregation and integration in the living brain based on community structure decomposition determined by maximum modularity. We demonstrate this method with a network derived from functional…

Neurons and Cognition · Quantitative Biology 2007-05-23 Adam J. Schwarz , Alessandro Gozzi , Angelo Bifone
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