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We describe spatio-temporal random processes using linear mixed models. We show how many commonly used models can be viewed as special cases of this general framework and pay close attention to models with separable or product-sum…

Methodology · Statistics 2021-06-01 Michael Dumelle , Jay M. Ver Hoef , Claudio Fuentes , Alix Gitelman

Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

Methodology · Statistics 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

Air pollution is a serious issue that currently affects many industrial cities in the world and can cause severe illness to the population. In particular, it has been proven that extreme high levels of airborne contaminants have dangerous…

Applications · Statistics 2019-11-12 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado

Stock price forecasting is a highly complex and vitally important field of research. Recent advancements in deep neural network technology allow researchers to develop highly accurate models to predict financial trends. We propose a novel…

Computational Finance · Quantitative Finance 2021-02-03 Pratyush Muthukumar , Jie Zhong

Air pollution is a great concern because of its impact on human health and on the environment. Statistical models play an important role in improving knowledge of this complex spatio-temporal phenomenon and in supporting public agencies and…

Applications · Statistics 2015-03-17 Michela Cameletti , Rosaria Ignaccolo , Stefano Bande

In order to solve the problems such as difficult to extract effective features and low accuracy of sales volume prediction caused by complex relationships such as market sales volume in time series prediction, we proposed a time series…

Signal Processing · Electrical Eng. & Systems 2024-06-06 Jianyu Liu , Wei Chen , Yong Zhang , Zhenfeng Chen , Bin Wan , Jinwei Hu

With an ever-increasing number of sensors in modern society, spatio-temporal time series forecasting has become a de facto tool to make informed decisions about the future. Most spatio-temporal forecasting models typically comprise distinct…

Machine Learning · Computer Science 2023-03-24 Lars Ødegaard Bentsen , Narada Dilp Warakagoda , Roy Stenbro , Paal Engelstad

Self-awareness is the key capability of autonomous systems, e.g., autonomous driving network, which relies on highly efficient time series forecasting algorithm to enable the system to reason about the future state of the environment, as…

Machine Learning · Computer Science 2023-05-18 Minh-Thanh Bui , Duc-Thinh Ngo , Demin Lu , Zonghua Zhang

We consider a setting with an evolving set of requests for transportation from an origin to a destination before a deadline and a set of agents capable of servicing the requests. In this setting, an assignment authority is to assign agents…

Databases · Computer Science 2021-01-19 Bolong Zheng , Qi Hu , Lingfeng Ming , Jilin Hu , Lu Chen , Kai Zheng , Christian S. Jensen

Non-stationarity is a fundamental challenge in multivariate long-term time series forecasting, often manifested as rapid changes in amplitude and phase. These variations lead to severe distribution shifts and consequently degrade predictive…

Machine Learning · Computer Science 2026-03-19 Yue Hu , Jialiang Tang , Siwei Yu , Baosheng Yu , Jing Zhang , Dacheng Tao

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

In this paper we propose a flexible class of multivariate nonlinear non-Gaussian state space models, based on copulas. More precisely, we assume that the observation equation and the state equation are defined by copula families that are…

Methodology · Statistics 2019-11-04 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado

Forecasting univariate time series in the financial market is a challenging endeavor. While numerous statistical and machine learning models have been introduced to address this challenge, they typically concentrate solely on analyzing…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Marco Gregnanin , Johannes De Smedt , Giorgio Gnecco , Maurizio Parton

To quantify uncertainty, conformal prediction methods are gaining continuously more interest and have already been successfully applied to various domains. However, they are difficult to apply to time series as the autocorrelative structure…

Machine Learning · Computer Science 2023-11-03 Andreas Auer , Martin Gauch , Daniel Klotz , Sepp Hochreiter

Accurate uncertainty measurement is a key step to building robust and reliable machine learning systems. Conformal prediction is a distribution-free uncertainty quantification algorithm popular for its ease of implementation, statistical…

Machine Learning · Computer Science 2024-03-20 Sophia Sun , Rose Yu

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Global oil price is an important factor in determining many economic variables in the world's economy. It is generally modeled as a stochastic process and have been studied through different techniques by comparing the historic time series…

General Finance · Quantitative Finance 2018-05-31 Sina Aghaei

Large-scale renewable energy deployment introduces pronounced volatility into the electricity system, turning grid operation into a complex stochastic optimization problem. Accurate electricity price forecasting (EPF) is essential not only…

Machine Learning · Computer Science 2026-04-17 Jan Niklas Lettner , Hadeer El Ashhab , Veit Hagenmeyer , Benjamin Schäfer

Transformer-based models for time series forecasting (TSF) have attracted significant attention in recent years due to their effectiveness and versatility. However, these models often require extensive hyperparameter optimization (HPO) to…

Machine Learning · Computer Science 2025-01-03 Jingjing Xu , Caesar Wu , Yuan-Fang Li , Grégoire Danoy , Pascal Bouvry