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Autism Spectrum Disorder(ASD) is a set of neurodevelopmental conditions that affect patients' social abilities. In recent years, many studies have employed deep learning to diagnose this brain dysfunction through functional MRI (fMRI).…

图像与视频处理 · 电气工程与系统科学 2021-10-26 Li Pan , Jundong Liu , Mingqin Shi , Chi Wah Wong , Kei Hang Katie Chan

Brain network topology, derived from functional magnetic resonance imaging (fMRI), holds promise for improving Alzheimer's disease (AD) diagnosis. Current methods primarily focus on lower-order topological features, often overlooking the…

几何拓扑 · 数学 2025-09-19 Dengyi Zhao , Shanyong Li , Yunping Wang , Chenfei Wang , Zhiheng Zhou , Guiying Yan , Xingqin Qi

Pathological brain appearances may be so heterogeneous as to be intelligible only as anomalies, defined by their deviation from normality rather than any specific pathological characteristic. Amongst the hardest tasks in medical imaging,…

图像与视频处理 · 电气工程与系统科学 2021-02-24 Walter Hugo Lopez Pinaya , Petru-Daniel Tudosiu , Robert Gray , Geraint Rees , Parashkev Nachev , Sebastien Ourselin , M. Jorge Cardoso

Despite the digital nature of magnetic resonance imaging, the resulting observations are most frequently reported and stored in text documents. There is a trove of information untapped in medical health records, case reports, and medical…

Alzheimer's Disease (AD) is an irreversible neurodegenerative disorder affecting millions of individuals today. The prognosis of the disease solely depends on treating symptoms as they arise and proper caregiving, as there are no current…

图像与视频处理 · 电气工程与系统科学 2024-12-17 Prayas Sanyal , Srinjay Mukherjee , Arkapravo Das , Anindya Sen

In this paper, we present a flexible and probabilistic framework for tracking topological features in time-varying scalar fields using merge trees and partial optimal transport. Merge trees are topological descriptors that record the…

计算几何 · 计算机科学 2025-08-26 Mingzhe Li , Xinyuan Yan , Lin Yan , Tom Needham , Bei Wang

Recently, Optimal Transport has been proposed as a probabilistic framework in Machine Learning for comparing and manipulating probability distributions. This is rooted in its rich history and theory, and has offered new solutions to…

机器学习 · 计算机科学 2024-08-22 Eduardo Fernandes Montesuma , Fred Ngolè Mboula , Antoine Souloumiac

To remedy the drawbacks of full-mass or fixed-mass constraints in classical optimal transport, we propose adaptive optimal transport which is distinctive from the classical optimal transport in its ability of adaptive-mass preserving. It…

机器学习 · 计算机科学 2025-03-10 Pei Yang , Qi Tan , Guihua Wen

Biomarkers play an important role in early detection and intervention in Alzheimer's disease (AD). However, obtaining effective biomarkers for AD is still a big challenge. In this work, we propose to use the worst transportation cost as a…

图形学 · 计算机科学 2021-04-02 Min Zhang , Dongsheng An , Na Lei , Jianfeng Wu , Tong Zhao , Xiaoyin Xu , Yalin Wang , Xianfeng Gu

Texture is one of the most important properties of visual surface that helps in discriminating one object from another or an object from background. The self-organizing map (SOM) is an excellent tool in exploratory phase of data mining. It…

计算机视觉与模式识别 · 计算机科学 2014-08-20 Marghny H. Mohamed , Mohammed M. Abdelsamea

Optimal Transport is a theory that allows to define geometrical notions of distance between probability distributions and to find correspondences, relationships, between sets of points. Many machine learning applications are derived from…

机器学习 · 统计学 2020-11-10 Titouan Vayer

We propose a method to learn a distribution of shape trajectories from longitudinal data, i.e. the collection of individual objects repeatedly observed at multiple time-points. The method allows to compute an average spatiotemporal…

计算机视觉与模式识别 · 计算机科学 2018-06-14 Alexandre Bône , Olivier Colliot , Stanley Durrleman

Brain imaging has allowed neuroscientists to analyze brain morphology in genetic and neurodevelopmental disorders, such as Down syndrome, pinpointing regions of interest to unravel the neuroanatomical underpinnings of cognitive impairment…

计算机视觉与模式识别 · 计算机科学 2024-09-23 Jordi Malé , Juan Fortea , Mateus Rozalem Aranha , Yann Heuzé , Neus Martínez-Abadías , Xavier Sevillano

Alzheimer's disease (AD) is characterized by progressive microstructural deterioration in brain tissue, yet conventional imaging and histopathology often lack the sensitivity needed to detect subtle early-stage changes. Here, we present a…

医学物理 · 物理学 2025-12-09 Santanu Maity , Mousa Alrubayan , Mohammad Moshahid Khan , Prabhakar Pradhan

Knowing how the Human brain is anatomically and functionally organized at the level of a group of healthy individuals or patients is the primary goal of neuroimaging research. Yet computing an average of brain imaging data defined over a…

计算机视觉与模式识别 · 计算机科学 2015-04-13 Alexandre Gramfort , Gabriel Peyré , Marco Cuturi

The Histogram of Oriented Gradient is a widely used image feature, which describes local image directionality based on numerical differentiation. Due to its ill-posed nature, small noise may lead to large errors. Conventional HOG may fail…

图像与视频处理 · 电气工程与系统科学 2022-05-12 Jiening Zhu , Harini Veeraraghavan , Larry Norton , Joseph O. Deasy , Allen Tannenbaum

We introduce a mixed-effects model to learn spatiotempo-ral patterns on a network by considering longitudinal measures distributed on a fixed graph. The data come from repeated observations of subjects at different time points which take…

Optimal transport is a geometrically intuitive, robust and flexible metric for sample comparison in data analysis and machine learning. Its formal Riemannian structure allows for a local linearization via a tangent space approximation. This…

最优化与控制 · 数学 2024-06-07 Clément Sarrazin , Bernhard Schmitzer

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

机器学习 · 统计学 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

The application of machine learning algorithms to the diagnosis and analysis of Alzheimer's disease (AD) from multimodal neuroimaging data is a current research hotspot. It remains a formidable challenge to learn brain region information…

图像与视频处理 · 电气工程与系统科学 2022-08-11 Yongcheng Zong , Changhong Jing , Qiankun Zuo