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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…

With the advance of imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Methodology · Statistics 2020-12-10 Qiwei Li , Xinlei Wang , Faming Liang , Guanghua Xiao

Graphical models are commonly used to discover associations within gene or protein networks for complex diseases such as cancer. Most existing methods estimate a single graph for a population, while in many cases, researchers are interested…

We introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such…

Machine Learning · Statistics 2014-11-12 Johan Pensar , Henrik Nyman , Timo Koski , Jukka Corander

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

The increase in high-dimensional multiomics data demands advanced integration models to capture the complexity of human diseases. Graph-based deep learning integration models, despite their promise, struggle with small patient cohorts and…

Machine Learning · Computer Science 2024-08-07 Sina Tabakhi , Charlotte Vandermeulen , Ian Sudbery , Haiping Lu

Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

Directed Acyclic Graphical (DAG) models efficiently formulate causal relationships in complex systems. Traditional DAGs assume nodes to be scalar variables, characterizing complex systems under a facile and oversimplified form. This paper…

Methodology · Statistics 2024-04-23 Tian Lan , Ziyue Li , Junpeng Lin , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Rui Zhao , Chen Zhang

Among the proposals for joint disease mapping, the shared component model has become more popular. Another recent advance to strengthen inference of disease data has been the extension of purely spatial models to include time and space-time…

Applications · Statistics 2020-05-04 Behzad Mahaki , Yadollah Mehrabi , Amir Kavousi , Volker J Schmid

Fitting spatio-temporal models for areal data is crucial in many fields such as cancer epidemiology. However, when data sets are very large, many issues arise. The main objective of this paper is to propose a general procedure to analyze…

Methodology · Statistics 2023-02-06 E. Orozco-Acosta , A. Adin , M. D. Ugarte

Multivariate geostatistics is based on modelling all covariances between all possible combinations of two or more variables at any sets of locations in a continuously indexed domain. Multivariate spatial covariance models need to be built…

Methodology · Statistics 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

Models for distributions of shapes contained within images can be widely used in biomedical applications ranging from tumor tracking for targeted radiation therapy to classifying cells in a blood sample. Our focus is on hierarchical…

Methodology · Statistics 2015-03-20 Kelvin Gu , Debdeep Pati , David B. Dunson

Our motivation stems from current medical research aiming at personalized treatment using a molecular-based approach. The broad goal is to develop a more precise and targeted decision making process, relative to traditional treatments based…

Methodology · Statistics 2022-01-27 Federico Castelletti , Guido Consonni

We study a family of regularized score-based estimators for learning the structure of a directed acyclic graph (DAG) for a multivariate normal distribution from high-dimensional data with $p\gg n$. Our main results establish support…

Statistics Theory · Mathematics 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou

Intra-tumor heterogeneity driving disease progression is characterized by distinct growth and spatial proliferation patterns of cells and their nuclei within tumor and non-tumor tissues. A widely accepted hypothesis is that these spatial…

Applications · Statistics 2025-11-13 Ye Jin Choi , Sebastian Kurtek , Simeng Zhu , Karthik Bharath

This paper extends Bayesian mortality projection models for multiple populations considering the stochastic structure and the effect of spatial autocorrelation among the observations. We explain high levels of overdispersion according to…

Methodology · Statistics 2021-03-08 Zhen Liu , Xiaoqian Sun , Yu-Bo Wang

Current approaches for modeling discrete-valued outcomes associated with spatially-dependent areal units incur computational and theoretical challenges, especially in the Bayesian setting when full posterior inference is desired. As an…

Methodology · Statistics 2025-05-22 J. Brandon Carter , Catherine A. Calder

Many ecological and spatial processes are complex in nature and are not accurately modeled by linear models. Regression trees promise to handle the high-order interactions that are present in ecological and spatial datasets, but fail to…

Quantitative Methods · Quantitative Biology 2021-01-22 Ethan Ancell , Brennan Bean

Learning inter-domain mappings from unpaired data can improve performance in structured prediction tasks, such as image segmentation, by reducing the need for paired data. CycleGAN was recently proposed for this problem, but critically…

Machine Learning · Computer Science 2018-06-20 Amjad Almahairi , Sai Rajeswar , Alessandro Sordoni , Philip Bachman , Aaron Courville

We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

Methodology · Statistics 2023-01-12 Leopoldo Catania , Anna Gloria Billé