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Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

Machine Learning · Computer Science 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

Machine Learning · Computer Science 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

An individualized risk prediction model that dynamically updates the probability of a clinical event from a specific cause is valuable for physicians to be able to optimize personalized treatment strategies in real-time by incorporating all…

Methodology · Statistics 2019-04-22 Qing Liu , Gong Tang , Joseph P. Costantino , Chung-Chou H. Chang

In a post-grounding event, the rapid assessment of hull girder residual strength is crucial for making informed decisions, such as determining whether the vessel can safely reach the closest yard. One of the primary challenges in this…

Applications · Statistics 2025-08-05 Dimitris G. Georgiadis , Manolis S. Samuelides , Daniel Straub

Hurricanes cause widespread destruction, resulting in diverse damage types and severities that require timely and accurate assessment for effective disaster response. While traditional single-label classification methods fall short of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Zhangding Liu , Neda Mohammadi , John E. Taylor

Coastal flooding drives considerable risks to many communities, but projections of future flood risks are deeply uncertain. The paucity of observations of extreme events often motivates the use of statistical approaches to model the…

Applications · Statistics 2018-08-01 Tony E. Wong , Alexandra Klufas , Vivek Srikrishnan , Klaus Keller

Obtaining the ability to make informed decisions regarding the operation and maintenance of structures, provides a major incentive for the implementation of structural health monitoring (SHM) systems. Probabilistic risk assessment (PRA) is…

Applications · Statistics 2021-01-06 Aidan J. Hughes , Robert J. Barthorpe , N. Dervilis , Charles R. Farrar , Keith Worden

The best known methods for estimating hazard rate functions in survival analysis models are either purely parametric or purely nonparametric. The parametric ones are sometimes too biased while the nonparametric ones are sometimes too…

Methodology · Statistics 2026-02-20 Nils Lid Hjort

We propose a class of transformation hazard models for right-censored failure time data. It includes the proportional hazards model (Cox) and the additive hazards model (Lin and Ying) as special cases. Due to the requirement of a…

Statistics Theory · Mathematics 2007-06-13 Gousheng Yin , Joseph G. Ibrahim

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

Machine Learning · Statistics 2025-11-18 Debashis Chatterjee

Industrial applications frequently pose a notorious challenge for state-of-the-art methods in the contexts of optimization, designing experiments and modeling unknown physical response. This problem is aggravated by limited availability of…

There is increasing interest in flexible parametric models for the analysis of time-to-event data, yet Bayesian approaches that offer incorporation of prior knowledge remain underused. A flexible Bayesian parametric model has recently been…

The Hierarchical Mixture of Experts (HME) is a well-known tree-based model for regression and classification, based on soft probabilistic splits. In its original formulation it was trained by maximum likelihood, and is therefore prone to…

Machine Learning · Computer Science 2012-12-12 Christopher M. Bishop , Markus Svensen

Predictions of thunderstorm-related hazards are needed in several sectors, including first responders, infrastructure management and aviation. To address this need, we present a deep learning model that can be adapted to different hazard…

Atmospheric and Oceanic Physics · Physics 2023-03-16 Jussi Leinonen , Ulrich Hamann , Ioannis V. Sideris , Urs Germann

Hurricanes cause significant economic and human costs, requiring individuals to make critical evacuation decisions under uncertainty and stress. To enhance the understanding of this decision-making process, we propose using Bayesian…

Artificial Intelligence · Computer Science 2024-10-01 Hui Sophie Wang , Nutchanon Yongsatianchot , Stacy Marsella

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

Machine Learning · Statistics 2020-11-06 Denise Rava , Jelena Bradic

Riverine floods pose a considerable risk to many communities. Improving flood hazard projections has the potential to inform the design and implementation of flood risk management strategies. Current flood hazard projections are uncertain,…

We propose a novel hierarchical Bayesian model for learning with a large (possibly infinite) number of tasks/episodes, which suits well the few-shot meta learning problem. We consider episode-wise random variables to model episode-specific…

Machine Learning · Computer Science 2023-06-19 Minyoung Kim , Timothy Hospedales

This paper presents a modeling approach for probabilistic estimation of hurricane wind-induced damage to infrastructural assets. In our approach, we employ a Nonhomogeneous Poisson Process (NHPP) model for estimating spatially-varying…

Applications · Statistics 2021-05-11 Derek Chang , Kerry Emanuel , Saurabh Amin