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Applications of high-dimensional regression often involve multiple sources or types of covariates. We propose methodology for this setting, emphasizing the "wide data" regime with large total dimensionality p and sample size n<<p. We focus…

The clustering coefficient quantifies the abundance of connected triangles in a network and is a major descriptive statistics of networks. For example, it finds an application in the assessment of small-worldness of brain networks, which is…

Physics and Society · Physics 2018-06-28 Naoki Masuda , Michiko Sakaki , Takahiro Ezaki , Takamitsu Watanabe

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

Statistics Theory · Mathematics 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Analyzing demographic data collected across multiple populations, time periods, and age groups is challenging due to the interplay of high dimensionality, demographic heterogeneity among groups, and stochastic variability within smaller…

Applications · Statistics 2025-12-12 Gregor Zens

Genetic association studies, in particular the genome-wide association study design, have provided a wealth of novel insights into the aetiology of a wide range of human diseases and traits. The next challenge consists of understanding the…

We analyze large, multi-dimensional, sparse counting data sets, finding unsupervised groups to provide unique insights into genetic data. We create gene and biological pathway groups based on patients' variants to find common risk factors…

Machine Learning · Computer Science 2025-09-01 Adam Sandler , Diego Klabjan , Yuan Luo

Motivated by the increasing use of and rapid changes in array technologies, we consider the prediction problem of fitting a linear regression relating a continuous outcome $Y$ to a large number of covariates $\mathbf {X}$, for example,…

Applications · Statistics 2014-01-13 Philip S. Boonstra , Bhramar Mukherjee , Jeremy M. G. Taylor

Due to increased awareness of data protection and corresponding laws many data, especially involving sensitive personal information, are not publicly accessible. Accordingly, many data collecting agencies only release aggregated data, e.g.…

Methodology · Statistics 2022-04-12 Rajbir-Singh Nirwan , Nils Bertschinger

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

Age-specific probabilities of death provide a snapshot of population mortality at the country level at a given point in time. Due to the high dimensionality of the data, summarising mortality information is essential for various analyses,…

Applications · Statistics 2026-03-30 Pedro Menezes de Araújo , Isobel Claire Gormley , Thomas Brendan Murphy

Several biomarkers are hypothesized to indicate early stages of Alzheimer's disease, well before the cognitive symptoms manifest. Their precise relations to the disease progression, however, is poorly understood. This lack of understanding…

Applications · Statistics 2025-05-12 Mingyuan Li , Zheyu Wang , Akihiko Nishimura

This paper explores Bayesian estimation for categorical data, focusing on simple yet effective models that provide a foundation for applying more advanced methods accurately and reliably in real-world applications. We begin by revisiting…

Methodology · Statistics 2025-09-03 Jan Kalina

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

Methodology · Statistics 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

BACKGROUND There is an increasing demand for high quality subnational estimates of under-five mortality. In low and middle income countries, where the burden of under-five mortality is concentrated, vital registration is often lacking and…

Methodology · Statistics 2020-11-17 Katie Wilson , Jon Wakefield

Fertility differentials by urban-rural residence and nativity of women in Australia significantly impact population composition at sub-national levels. We aim to provide consistent fertility forecasts for Australian women characterized by…

Applications · Statistics 2024-10-25 Yang Yang , Han Lin Shang , James Raymer

Joinpoint regression is used to determine the number of segments needed to adequately explain the relationship between two variables. This methodology can be widely applied to real problems, but we focus on epidemiological data, the main…

Applications · Statistics 2011-12-08 Miguel A. Martinez-Beneito , Gonzalo García-Donato , Diego Salmerón

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

Machine Learning · Statistics 2015-12-01 Eric F. Lock , David B. Dunson

Multivariate regression models for age estimation are a powerful tool for assessing abnormal brain morphology associated to neuropathology. Age prediction models are built on cohorts of healthy subjects and are built to reflect normal aging…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Benjamin Gutierrez Becker , Tassilo Klein , Christian Wachinger

When modeling sub-national mortality rates, we should consider three features: (1) how to incorporate any possible correlation among sub-populations to potentially improve forecast accuracy through multi-population joint modeling; (2) how…

Methodology · Statistics 2020-09-22 Han Lin Shang , Steven Haberman
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