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We introduce a new version of deep state-space models (DSSMs) that combines a recurrent neural network with a state-space framework to forecast time series data. The model estimates the observed series as functions of latent variables that…

Machine Learning · Statistics 2022-05-20 Haoxuan Wu , David S. Matteson , Martin T. Wells

In this paper, we discuss the impact of some mortality data anomalies on an internal model capturing longevity risk in the Solvency 2 framework. In particular, we are concerned with abnormal cohort effects such as those for generations 1919…

Risk Management · Quantitative Finance 2020-09-02 Fabrice Balland , Alexandre Boumezoued , Laurent Devineau , Marine Habart , Tom Popa

Mortality rates are often disaggregated by different attributes, such as sex, state, education, religion or ethnicity. Forecasting mortality rates at the national and sub-national levels plays an important role in making social policies…

Applications · Statistics 2016-09-01 Han Lin Shang

Large-scale traffic forecasting relies on fixed sensor networks that often exhibit blackouts: contiguous intervals of missing measurements caused by detector or communication failures. These outages are typically handled under a Missing At…

Machine Learning · Statistics 2026-01-07 Aman Sunesh , Allan Ma , Siddarth Nilol

Forecasting in the real world requires integrating structured time-series data with unstructured textual information, but existing methods are architecturally limited by fixed input/output horizons and are unable to model or quantify…

Machine Learning · Computer Science 2025-10-27 Sungjun Cho , Changho Shin , Suenggwan Jo , Xinya Yan , Shourjo Aditya Chaudhuri , Frederic Sala

Weather forecast information will very likely find increasing application in the control of future energy systems. In this paper, we introduce an augmented state space model formulation with linear dynamics, within which one can incorporate…

Optimization and Control · Mathematics 2021-06-15 Jacques A. de Chalendar , Peter W. Glynn

Understanding disease progression is a central clinical challenge with direct implications for early diagnosis and personalized treatment. While recent generative approaches have attempted to model progression, key mismatches remain:…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Hao Chen , Rui Yin , Yifan Chen , Qi Chen , Chao Li

Modeling longitudinal and survival data jointly offers many advantages such as addressing measurement error and missing data in the longitudinal processes, understanding and quantifying the association between the longitudinal markers and…

In this study, we propose a novel model called the Markov-switching dynamic matrix factor (Ms-DMF) model, which serves the dual purpose of structural interpretation and prediction for high-dimensional matrix time series. When estimating the…

Methodology · Statistics 2025-12-24 Chaofeng Yuan , Sainan Xu , Xingbing Kong , Jianhua Guo

Variational inference has had great success in scaling approximate Bayesian inference to big data by exploiting mini-batch training. To date, however, this strategy has been most applicable to models of independent data. We propose an…

Machine Learning · Statistics 2021-05-19 Tom Ryder , Dennis Prangle , Andrew Golightly , Isaac Matthews

Recently, it has been shown that the transition rates of the illness-death model (IDM) for chronic conditions are related to the percentages of people in the states by a three-dimensional system of differential equations [Bri24]. The aim of…

Applications · Statistics 2025-02-05 Ralph Brinks

Existing mortality forecasting methods focus on age-specific mortality rates, which lie in an unconstrained space and overlook the distributional nature of life-table death counts. Few studies have developed and compared forecasting methods…

Methodology · Statistics 2026-04-23 Han Lin Shang , Cristian F. Jiménez-Varón

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

This study presents a framework for high-resolution mortality simulations tailored to insured and general populations. Due to the scarcity of detailed demographic-specific mortality data, we leverage Iterative Proportional Fitting (IPF) and…

Applications · Statistics 2025-04-18 Asmik Nalmpatian , Christian Heumann

With latent variables, stochastic recurrent models have achieved state-of-the-art performance in modeling sound-wave sequence. However, opposite results are also observed in other domains, where standard recurrent networks often outperform…

Machine Learning · Computer Science 2019-09-17 Zihang Dai , Guokun Lai , Yiming Yang , Shinjae Yoo

Composite endpoints that combine multiple outcomes on different scales are common in clinical trials, particularly in chronic conditions. In many of these cases, patients will have to cross a predefined responder threshold in each of the…

Methodology · Statistics 2019-02-20 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

A robust multilevel functional data method is proposed to forecast age-specific mortality rate and life expectancy for two or more populations in developed countries with high-quality vital registration systems. It uses a robust multilevel…

Applications · Statistics 2016-09-27 Han Lin Shang

Lung cancer (LC) is a leading cause of cancer-related mortality in the United States. Accurate prediction of LC mortality rates is crucial for guiding targeted interventions and addressing health disparities. Although traditional…

Machine Learning · Computer Science 2025-12-23 Soheil Hashtarkhani , Brianna M. White , Benyamin Hoseini , David L. Schwartz , Arash Shaban-Nejad

Mouse-tracking recording techniques are becoming very attractive in experimental psychology. They provide an effective means of enhancing the measurement of some real-time cognitive processes involved in categorization, decision-making, and…

Applications · Statistics 2019-12-18 Antonio Calcagnì , Luigi Lombardi , Marco D'Alessandro

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

Methodology · Statistics 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn