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Widespread population aging has made it critical to understand death rates at old ages. However, studying mortality at old ages is challenging because the data are sparse: numbers of survivors and deaths get smaller and smaller with age. We…

Applications · Statistics 2018-03-29 Dennis M. Feehan

A multilevel functional data method is adapted for forecasting age-specific mortality for two or more populations in developed countries with high-quality vital registration systems. It uses multilevel functional principal component…

Applications · Statistics 2016-09-30 Han Lin Shang

In the aftermath of the COVID-19 pandemic, empirical data have revealed that large-scale health crises not only cause immediate disruptions in mortality dynamics but also have persistent effects that may last for several years. Existing…

Applications · Statistics 2026-03-26 Yanxin Liu , Kenneth Q. Zhou

This paper presents an operator-theoretic framework Linear Operator Causality Analysis (LOCA), for analysing causality in linearised dynamical systems, focusing here on fluid flows. We demonstrate that the matrix exponential of the…

Chaotic Dynamics · Physics 2025-07-15 Ankit Srivastava , Louis Cattafesta , Scott Dawson

The use of artificial intelligence in clinical care to improve decision support systems is increasing. This is not surprising since, by its very nature, the practice of medicine consists of making decisions based on observations from…

Quantitative Methods · Quantitative Biology 2019-05-03 Isaac Mativo , Yelena Yesha , Michael Grasso , Tim Oates , Qian Zhu

Interventional causal models describe several joint distributions over some variables used to describe a system, one for each intervention setting. They provide a formal recipe for how to move between the different joint distributions and…

Machine Learning · Statistics 2021-08-06 Eigil F. Rischel , Sebastian Weichwald

Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

In usual demographic analysis, force of mortality is a function of one variable, that is, of age. In this article bi-variate and multivariate force of mortality functions are introduced for the first time to explain mortality differentials.…

Dynamical Systems · Mathematics 2019-02-26 Swagata Mitra , Pratyush Singh , Arni S. R. Srinivasa Rao

High-dimensional compositional data arise naturally in many applications such as metagenomic data analysis. The observed data lie in a high-dimensional simplex, and conventional statistical methods often fail to produce sensible results due…

Methodology · Statistics 2016-01-19 Yuanpei Cao , Wei Lin , Hongzhe Li

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

Machine Learning · Statistics 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

The study of immune cellular composition has been of great scientific interest in immunology because of the generation of multiple large-scale data. From the statistical point of view, such immune cellular data should be treated as…

Applications · Statistics 2022-04-22 Jinkyung Yoo , Zequn Sun , Michael Greenacre , Qin Ma , Dongjun Chung , Young Min Kim

To analyze and project age-specific mortality or morbidity rates age-period-cohort (APC) models are very popular. Bayesian approaches facilitate estimation and improve predictions by assigning smoothing priors to age, period and cohort…

Applications · Statistics 2012-03-21 Andrea Riebler , Leonhard Held , Håvard Rue

Differential abundance analysis is at the core of statistical analysis of microbiome data. The compositional nature of microbiome sequencing data makes false positive control challenging. Here, we show that the compositional effects can be…

Methodology · Statistics 2022-03-15 Huijuan Zhou , Kejun He , Jun Chen , Xianyang Zhang

Compositional generalization is a crucial step towards developing data-efficient intelligent machines that generalize in human-like ways. In this work, we tackle a challenging form of distribution shift, termed compositional shift, where…

Machine Learning · Computer Science 2025-07-14 Divyat Mahajan , Mohammad Pezeshki , Charles Arnal , Ioannis Mitliagkas , Kartik Ahuja , Pascal Vincent

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic…

Methodology · Statistics 2022-01-05 Chen Tang , Han Lin Shang , Yanrong Yang

A general conversion strategy by involving a shifted parameter $\theta$ is proposed to construct high-order accuracy difference formulas for fractional calculus operators. By converting the second-order backward difference formula with such…

Numerical Analysis · Mathematics 2022-04-13 Baoli Yin , Guoyu Zhang , Yang Liu , Hong Li

Early work established convergence of the principal component estimators of the factors and loadings up to a rotation for large dimensional approximate factor models with weak factors in that the factor loading $\Lambda^{(0)}$ scales…

Statistics Theory · Mathematics 2025-03-12 Yong He , Dong Liu , Yunjing Sun , Yalin Wang

Identifying which taxa in our microbiota are associated with traits of interest is important for advancing science and health. However, the identification is challenging because the measured vector of taxa counts (by amplicon sequencing) is…

Genomics · Quantitative Biology 2020-03-31 Barak Brill , Amnon Amir , Ruth Heller

Suppose, contrary to fact, in 1950, we had put the cohort of 18 year old non-smoking American men on a stringent mandatory diet that guaranteed that no one would ever weigh more than their baseline weight established at age 18. How would…

Applications · Statistics 2008-02-06 James Robins

Cardiovascular disease (CVD) continues to be the major cause of death globally, calling for predictive models that not only handle diverse and high-dimensional biomedical signals but also maintain interpretability and privacy. We create a…

Machine Learning · Computer Science 2026-01-13 Rohit Kaushik , Eva Kaushik
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