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In the real world, networks often contain multiple relationships among nodes, manifested as the heterogeneity of the edges in the networks. We convert the heterogeneous networks into multiple views by using each view to describe a specific…

Social and Information Networks · Computer Science 2021-03-15 Lu Wang , Yu Song , Hong Huang , Fanghua Ye , Xuanhua Shi , Hai Jin

Heterogeneity in the cell population of cancer tissues poses many challenges in cancer diagnosis and treatment. Studying the heterogeneity in cell populations from gene expression measurement data in the context of cancer research is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Anik Chaudhuri , Anwoy Mohanty , Manoranjan Satpathy

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

The Gaussian graphical model is a widely used tool for learning gene regulatory networks with high-dimensional gene expression data. Most existing methods for Gaussian graphical models assume that the data are homogeneous, i.e., all samples…

Methodology · Statistics 2018-05-08 Bochao Jia , Faming Liang

The prevailing graph neural network models have achieved significant progress in graph representation learning. However, in this paper, we uncover an ever-overlooked phenomenon: the pre-trained graph representation learning model tested…

Machine Learning · Computer Science 2023-02-14 Hang Gao , Jiangmeng Li , Wenwen Qiang , Lingyu Si , Bing Xu , Changwen Zheng , Fuchun Sun

Tumor is heterogeneous - a tumor sample usually consists of a set of subclones with distinct transcriptional profiles and potentially different degrees of aggressiveness and responses to drugs. Understanding tumor heterogeneity is therefore…

Applications · Statistics 2017-02-28 Fangzheng Xie , Mingyuan Zhou , Yanxun Xu

Graph neural networks (GNNs) provide powerful insights for brain neuroimaging technology from the view of graphical networks. However, most existing GNN-based models assume that the neuroimaging-produced brain connectome network is a…

Machine Learning · Computer Science 2022-09-30 Gen Shi , Yifan Zhu , Wenjin Liu , Quanming Yao , Xuesong Li

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

Methodology · Statistics 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

Applications · Statistics 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

One of the mechanisms that ensure cancer robustness is tumor heterogeneity, and its effects on tumor cells dynamics have to be taken into account when studying cancer progression. There is no unifying theoretical framework in mathematical…

Tissues and Organs · Quantitative Biology 2007-05-23 Georgy P. Karev , Artem S. Novozhilov , Eugene V. Koonin

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

Diagnostic imaging has gained prominence as potential biomarkers for early detection and diagnosis in a diverse array of disorders including cancer. However, existing methods routinely face challenges arising from various factors such as…

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

Methodology · Statistics 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

A random graph model with prescribed degree distribution and degree dependent edge weights is introduced. Each vertex is independently equipped with a random number of half-edges and each half-edge is assigned an integer valued weight…

Probability · Mathematics 2015-05-28 Tom Britton , Maria Deijfen , Fredrik Liljeros

Detecting rumors on social media is a very critical task with significant implications to the economy, public health, etc. Previous works generally capture effective features from texts and the propagation structure. However, the…

Artificial Intelligence · Computer Science 2021-07-27 Lingwei Wei , Dou Hu , Wei Zhou , Zhaojuan Yue , Songlin Hu

A significant challenge in solid tumors is reliably distinguishing confounding pathologies from malignant neoplasms on routine imaging. While radiomics methods seek surrogate markers of lesion heterogeneity on CT/MRI, many aggregate…

The exponential random graph (ERGM) model is a commonly used statistical framework for studying the determinants of tie formations from social network data. To test scientific theories under the ERGM framework, statistical inferential…

Methodology · Statistics 2023-12-01 Joris Mulder , Nial Friel , Philip Leifeld

Graphical models provide powerful tools to uncover complicated patterns in multivariate data and are commonly used in Bayesian statistics and machine learning. In this paper, we introduce the R package BDgraph which performs Bayesian…

Machine Learning · Statistics 2019-05-14 Reza Mohammadi , Ernst C. Wit

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Recent years have witnessed the emerging success of graph neural networks (GNNs) for modeling structured data. However, most GNNs are designed for homogeneous graphs, in which all nodes and edges belong to the same types, making them…

Machine Learning · Computer Science 2020-03-04 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Yizhou Sun
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