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Graphical structure learning is an effective way to assess and visualize cross-biomarker dependencies in biomedical settings. Standard approaches to estimating graphs rely on conditional independence tests that may not be sensitive to…

Methodology · Statistics 2024-11-28 Zain Khan , Daniel Malinsky , Martin Picard , Alan A. Cohen , Columbia SOH Group , Ying Wei

Structural data from Electronic Health Records as complementary information to imaging data for disease prediction. We incorporate novel weighting layer into the Graph Convolutional Networks, which weights every element of structural data…

Machine Learning · Computer Science 2018-05-01 Anees Kazi , Shadi Albarqouni , Karsten Kortuem , Nassir Navab

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

Data Analysis, Statistics and Probability · Physics 2021-02-01 Sachin Kasture

Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede

Benefiting from the powerful expressive capability of graphs, graph-based approaches have achieved impressive performance in various biomedical applications. Most existing methods tend to define the adjacency matrix among samples manually…

Machine Learning · Computer Science 2021-07-02 Shuai Zheng , Zhenfeng Zhu , Zhizhe Liu , Zhenyu Guo , Yang Liu , Yao Zhao

The microbiome constitutes a complex microbial ecology of interacting components that regulates important pathways in the host. Measurements of microbial abundances are key to learning the intricate network of interactions amongst microbes.…

Methodology · Statistics 2024-06-17 Veronica Vinciotti , Ernst Wit , Francisco Richter

Graphs can be used to effectively represent complex data structures. Learning these irregular data in graphs is challenging and still suffers from shallow learning. Applying deep learning on graphs has recently showed good performance in…

Machine Learning · Computer Science 2020-09-16 Thosini Bamunu Mudiyanselage , Xiujuan Lei , Nipuna Senanayake , Yanqing Zhang , Yi Pan

Distance multivariance is a multivariate dependence measure, which can detect dependencies between an arbitrary number of random vectors each of which can have a distinct dimension. Here we discuss several new aspects, present a concise…

Statistics Theory · Mathematics 2020-04-17 Björn Böttcher

The advent of high-throughput sequencing technologies has lead to vast comparative genome sequences. The construction of gene-gene interaction networks or dependence graphs on the genome scale is vital for understanding the regulation of…

Methodology · Statistics 2023-03-06 Xinyao Fan , Harry Joe , Yongjin Park

Deciphering the associations between network connectivity and nodal attributes is one of the core problems in network science. The dependency structure and high-dimensionality of networks pose unique challenges to traditional dependency…

Methodology · Statistics 2024-06-27 Youjin Lee , Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

We propose the use of non-parametric, graph-based tests to assess the distributional balance of covariates in observational studies with multi-valued treatments. Our tests utilize graph structures ranging from Hamiltonian paths that connect…

Methodology · Statistics 2022-08-11 Eric A. Dunipace

Integrative network modeling of data arising from multiple genomic platforms provides insight into the holistic picture of the interactive system, as well as the flow of information across many disease domains including cancer. The basic…

Methodology · Statistics 2020-02-18 Min Jin Ha , Francesco Stingo , Veerabhadran Baladandayuthapani

In this article, we consider the problem of testing the independence between two random variables. Our primary objective is to develop tests that are highly effective at detecting associations arising from explicit or implicit functional…

Methodology · Statistics 2025-02-21 Seetharaman P , Sagnik Das , Angshuman Roy

This paper introduces a method for studying the correlation structure of a range of responses modelled by a multivariate generalised linear mixed model (MGLMM). The methodology requires the existence of clusters of observations and that…

Methodology · Statistics 2021-08-02 Jeanett S. Pelck , Rodrigo Labouriau

Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Granger-Geweke causality (GGC) is a powerful and popular method for identifying directed functional (`causal') connectivity in neuroscience. In a recent paper, Stokes and Purdon [1] raise several concerns about its use. They make two…

Methodology · Statistics 2018-02-07 Lionel Barnett , Adam B. Barrett , Anil K. Seth

Large scale real-world network data such as social and information networks are ubiquitous. The study of such social and information networks seeks to find patterns and explain their emergence through tractable models. In most networks, and…

Social and Information Networks · Computer Science 2015-05-20 Myunghwan Kim , Jure Leskovec

Gaussian Graphical Models provide a convenient framework for representing dependencies between variables. Recently, this tool has received a high interest for the discovery of biological networks. The literature focuses on the case where a…

Methodology · Statistics 2010-05-13 Julien Chiquet , Yves Grandvalet , Christophe Ambroise

Graph convolutional neural networks have shown significant potential in natural and histopathology images. However, their use has only been studied in a single magnification or multi-magnification with late fusion. In order to leverage the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Roozbeh Bazargani , Ladan Fazli , Larry Goldenberg , Martin Gleave , Ali Bashashati , Septimiu Salcudean

Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse and complex molecular and biomolecular datasets due to the limited…

Quantitative Methods · Quantitative Biology 2018-06-12 Duc Duy Nguyen , Guo-Wei Wei