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A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

统计方法学 · 统计学 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

Bayesian methods have been successfully applied to sparsify weights of neural networks and to remove structure units from the networks, e. g. neurons. We apply and further develop this approach for gated recurrent architectures.…

机器学习 · 计算机科学 2018-12-17 Ekaterina Lobacheva , Nadezhda Chirkova , Dmitry Vetrov

We apply network Lasso to semi-supervised regression problems involving network structured data. This approach lends quite naturally to highly scalable learning algorithms in the form of message passing over an empirical graph which…

机器学习 · 统计学 2018-12-31 A. Jung , N. Vesselinova

In remote healthcare monitoring, time series representation learning reveals critical patient behavior patterns from high-frequency data. This study analyzes home activity data from individuals living with dementia by proposing a two-stage,…

机器学习 · 计算机科学 2025-02-17 Jin Cui , Alexander Capstick , Payam Barnaghi , Gregory Scott

Understanding how the collective activity of neural populations relates to computation and ultimately behavior is a key goal in neuroscience. To this end, statistical methods which describe high-dimensional neural time series in terms of…

神经元与认知 · 定量生物学 2025-01-14 Amber Hu , David Zoltowski , Aditya Nair , David Anderson , Lea Duncker , Scott Linderman

Non-parametric models, such as Gaussian Processes (GP), show promising results in the analysis of complex data. Their applications in neuroscience data have recently gained traction. In this research, we introduce a novel neural decoder…

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

机器学习 · 统计学 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Semi-structured regression models enable the joint modeling of interpretable structured and complex unstructured feature effects. The structured model part is inspired by statistical models and can be used to infer the input-output…

机器学习 · 计算机科学 2024-01-24 Daniel Dold , David Rügamer , Beate Sick , Oliver Dürr

Undirected graphical models are powerful tools for uncovering complex relationships among high-dimensional variables. This paper aims to fully recover the structure of an undirected graphical model when the data naturally take matrix form,…

统计方法学 · 统计学 2025-08-08 Minsub Shin , Johan Lim , Seongoh Park

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

统计方法学 · 统计学 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

While offering a principled framework for uncertainty quantification in deep learning, the employment of Bayesian Neural Networks (BNNs) is still constrained by their increased computational requirements and the convergence difficulties…

机器学习 · 计算机科学 2025-05-26 Moule Lin , Shuhao Guan , Weipeng Jing , Goetz Botterweck , Andrea Patane

We consider the problem of modeling multivariate time series with parsimonious dynamical models which can be represented as sparse dynamic Bayesian networks with few latent nodes. This structure translates into a sparse plus low rank model.…

最优化与控制 · 数学 2015-09-29 Mattia Zorzi , Alessandro Chiuso

Recently, partial Bayesian neural networks (pBNNs), which only consider a subset of the parameters to be stochastic, were shown to perform competitively with full Bayesian neural networks. However, pBNNs are often multi-modal in the latent…

机器学习 · 计算机科学 2024-02-28 Zheng Zhao , Sebastian Mair , Thomas B. Schön , Jens Sjölund

Analyzing and understanding the structure of complex relational data is important in many applications including analysis of the connectivity in the human brain. Such networks can have prominent patterns on different scales, calling for a…

机器学习 · 统计学 2013-11-22 Mikkel N. Schmidt , Tue Herlau , Morten Mørup

Enlarged perivascular spaces (EPVS) in the brain are an emerging imaging marker for cerebral small vessel disease, and have been shown to be related to increased risk of various neurological diseases, including stroke and dementia.…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Florian Dubost , Hieab Adams , Gerda Bortsova , M. Arfan Ikram , Wiro Niessen , Meike Vernooij , Marleen de Bruijne

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

应用统计 · 统计学 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

统计方法学 · 统计学 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

We propose a dual pathway, 11-layers deep, three-dimensional Convolutional Neural Network for the challenging task of brain lesion segmentation. The devised architecture is the result of an in-depth analysis of the limitations of current…

Technological advancements in noninvasive imaging facilitate the construction of whole brain interconnected networks, known as brain connectivity. Existing approaches to analyze brain connectivity frequently disaggregate the entire network…

统计方法学 · 统计学 2023-09-26 Xinyuan Tian , Fan Li , Li Shen , Denise Esserman , Yize Zhao

Network data are increasingly common in the social sciences and infectious disease epidemiology. Analyses often link network structure to node-level covariates, but existing methods falter with sparse networks and high-dimensional node…

统计方法学 · 统计学 2026-02-05 Emma G Crenshaw , Yuhua Zhang , Jukka-Pekka Onnela