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Hierarchical models allow for heterogeneous behaviours in a population while simultaneously borrowing estimation strength across all subpopulations. Unfortunately, existing likelihood-based methods for fitting hierarchical models have high…

Methodology · Statistics 2015-12-16 Patrick O. Perry

Mortality forecasting plays a pivotal role in insurance and financial risk management of life insurers, pension funds, and social securities. Mortality data is usually high-dimensional in nature and favors factor model approaches to…

Applications · Statistics 2021-12-10 Lingyu He , Fei Huang , Yanrong Yang

Intermittent time series, characterised by the presence of a significant amount of zeros, constitute a large percentage of inventory items in supply chain. Probabilistic forecasts are needed to plan the inventory levels; the predictive…

Machine Learning · Statistics 2026-01-21 Stefano Damato , Nicolò Rubattu , Dario Azzimonti , Giorgio Corani

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

Machine Learning · Computer Science 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

Hierarchical time series are common in several applied fields. The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy. The most popular technique to enforce coherence is…

Machine Learning · Statistics 2023-10-13 Lorenzo Zambon , Dario Azzimonti , Giorgio Corani

Time series foundational models (TSFM) have gained prominence in time series forecasting, promising state-of-the-art performance across various applications. However, their application in anomaly detection and prediction remains…

Machine Learning · Computer Science 2024-12-30 Chathurangi Shyalika , Harleen Kaur Bagga , Ahan Bhatt , Renjith Prasad , Alaa Al Ghazo , Amit Sheth

Studying the effects of air-pollution on health is a key area in environmental epidemiology. An accurate estimation of air-pollution effects requires spatio-temporally resolved datasets of air-pollution, especially, Fine Particulate Matter…

Applications · Statistics 2019-03-27 Ron Sarafian , Itai Kloog , Allan C. Just , Johnathan D. Rosenblatt

We present a comparative study of different probabilistic forecasting techniques on the task of predicting the electrical load of secondary substations and cabinets located in a low voltage distribution grid, as well as their aggregated…

Machine Learning · Computer Science 2020-04-17 Lorenzo Nespoli , Vasco Medici , Kristijan Lopatichki , Fabrizio Sossan

In data collection for predictive modeling, under-representation of certain groups, based on gender, race/ethnicity, or age, may yield less-accurate predictions for these groups. Recently, this issue of fairness in predictions has attracted…

Applications · Statistics 2022-02-25 Hyungrok Do , Shinjini Nandi , Preston Putzel , Padhraic Smyth , Judy Zhong

Precipitation forecasts are less accurate compared to other meteorological fields because several key processes affecting precipitation distribution and intensity occur below the resolved scale of global weather prediction models. This…

Atmospheric and Oceanic Physics · Physics 2023-04-21 Rüdiger Brecht , Alex Bihlo

Time series forecasting is one of the most active research topics. Machine learning methods have been increasingly adopted to solve these predictive tasks. However, in a recent work, these were shown to systematically present a lower…

Machine Learning · Statistics 2019-10-01 Vitor Cerqueira , Luis Torgo , Carlos Soares

Pattern similarity-based methods are widely used in classification and regression problems. Repeated, similar-shaped cycles observed in seasonal time series encourage to apply these methods for forecasting. In this paper we use the pattern…

Machine Learning · Computer Science 2020-04-29 Grzegorz Dudek , Paweł Pełka

Tropical cyclones present a serious threat to many coastal communities around the world. Many numerical weather prediction models provide deterministic forecasts with limited measures of their forecast uncertainty. Standard postprocessing…

Applications · Statistics 2022-11-01 Stephen A. Walsh , Marco A. R. Ferreira , Dave Higdon , Stephanie Zick

Diffusion models have shown promise in forecasting future data from multivariate time series. However, few existing methods account for recurring structures, or patterns, that appear within the data. We present Pattern-Guided Diffusion…

Machine Learning · Computer Science 2025-12-17 Vivian Lin , Kuk Jin Jang , Wenwen Si , Insup Lee

Large collections of time series data are commonly organized into structures with different levels of aggregation; examples include product and geographical groupings. It is often important to ensure that the forecasts are coherent so that…

Accurate prediction of atmospheric optical turbulence in localized environments is essential for estimating the performance of free-space optical systems. Macro-meteorological models developed to predict turbulent effects in one environment…

Atmospheric and Oceanic Physics · Physics 2023-10-30 Christopher Jellen , Charles Nelson , John Burkhardt , Cody Brownell

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national level. However, the epidemic models…

Applications · Statistics 2014-11-18 Le Bao , Mary Mahy , Xiaoyue Niu , Tim Brown , Peter Ghys

Forecast verification plays a crucial role in the development cycle of operational numerical weather prediction models. At the same time, verification remains a challenge as the traditionally used non-spatial forecast quality metrics…

Atmospheric and Oceanic Physics · Physics 2026-05-25 Gregor Skok , Katarina Kosovelj

The Hidden Markov Model (HMM) can predict the future value of a time series based on its current and previous values, making it a powerful algorithm for handling various types of time series. Numerous studies have explored the improvement…

Machine Learning · Computer Science 2024-02-28 YeXin Huang