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We propose practical extensions to Bayesian optimization for solving dynamic problems. We model dynamic objective functions using spatiotemporal Gaussian process priors which capture all the instances of the functions over time. Our…

Machine Learning · Statistics 2018-03-12 Favour M. Nyikosa , Michael A. Osborne , Stephen J. Roberts

This paper proposes methods of predicting dynamic time series (including non-stationary ones) based on a linguistic approach, namely, the study of occurrences and repetition of so-called N-grams. This approach is used in computational…

Numerical Analysis · Mathematics 2026-02-26 Dmytro Lande , Volodymyr Yuzefovych , Yevheniia Tsybulska

An increasing number of applications require real-time reasoning under uncertainty with streaming input. The temporal (dynamic) Bayes net formalism provides a powerful representational framework for such applications. However, existing…

Artificial Intelligence · Computer Science 2013-01-07 Masami Takikawa , Bruce D'Ambrosio , Ed Wright

Modern agile software projects are subject to constant change, making it essential to re-asses overall delay risk throughout the project life cycle. Existing effort estimation models are static and not able to incorporate changes occurring…

Software Engineering · Computer Science 2023-10-04 Elvan Kula , Eric Greuter , Arie van Deursen , Georgios Gousios

Analytical approaches in models of opinion formation have been extensively studied either for an opinion represented as a discrete or a continuous variable. In this paper, we analyze a model which combines both approaches. The state of an…

Physics and Society · Physics 2023-02-01 Lucía Pedraza , Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

The limited data availability due to strict privacy regulations and significant resource demands severely constrains biomedical time-series AI development, which creates a critical gap between data requirements and accessibility. Synthetic…

Machine Learning · Computer Science 2025-11-25 Youngjoon Lee , Seongmin Cho , Yehhyun Jo , Jinu Gong , Hyunjoo Jenny Lee , Joonhyuk Kang

Time series analysis is crucial for understanding dynamics of complex systems. Recent advances in foundation models have led to task-agnostic Time Series Foundation Models (TSFMs) and Large Language Model-based Time Series Models (TSLLMs),…

Machine Learning · Computer Science 2025-03-17 Xu Liu , Taha Aksu , Juncheng Liu , Qingsong Wen , Yuxuan Liang , Caiming Xiong , Silvio Savarese , Doyen Sahoo , Junnan Li , Chenghao Liu

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

Applications · Statistics 2022-01-07 Bohdan M. Pavlyshenko

Spatiotemporal forecasting is critical for real-world applications like traffic management, yet capturing reliable interactions remains challenging under noisy and non-stationary conditions. Existing methods primarily rely on historical…

Machine Learning · Computer Science 2026-05-20 Yinghao Ai , Yukai Zhou , Ruoxi Jiang , Junyi An , Chao Qu , Zhijian Zhou , Shiyu Wang , Fenglei Cao , Zenglin Xu , Furao Shen , Yuan Qi

In many statistical problems, a more coarse-grained model may be suitable for population-level behaviour, whereas a more detailed model is appropriate for accurate modelling of individual behaviour. This raises the question of how to…

Machine Learning · Statistics 2015-11-02 Mingjun Zhong , Nigel Goddard , Charles Sutton

Trajectory forecasting, or trajectory prediction, of multiple interacting agents in dynamic scenes, is an important problem for many applications, such as robotic systems and autonomous driving. The problem is a great challenge because of…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Yanliang Zhu , Dongchun Ren , Mingyu Fan , Deheng Qian , Xin Li , Huaxia Xia

Systematic generalization aims to evaluate reasoning about novel combinations from known components, an intrinsic property of human cognition. In this work, we study systematic generalization of NNs in forecasting future time series of…

Machine Learning · Computer Science 2021-03-09 Hritik Bansal , Gantavya Bhatt , Pankaj Malhotra , Prathosh A. P

Forecast combination involves using multiple forecasts to create a single, more accurate prediction. Recently, feature-based forecasting has been employed to either select the most appropriate forecasting models or to optimize the weights…

Machine Learning · Computer Science 2023-12-14 Giovanni Felici , Antonio M. Sudoso

Central banks rely on density forecasts from professional surveys to assess inflation risks and communicate uncertainty. A central challenge in using these surveys is irregular participation: forecasters enter and exit, skip rounds, and…

Applications · Statistics 2026-02-06 Matthew C. Johnson , Matteo Luciani , Minzhengxiong Zhang , Kenichiro McAlinn

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

Methodology · Statistics 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

Time series in energy systems, such as solar irradiance, wind speed, or electrical load, are characterized by strong diurnal and seasonal periodicities. Accurate forecasting requires accounting for time varying statistical properties that…

Data Analysis, Statistics and Probability · Physics 2026-04-28 Cyril Voyant , Candice Banes , Luis Garcia-Gutierrez , Gilles Notton , Milan Despotovic , Zaher Mundher Yaseen

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Turbulent flows have historically presented formidable challenges to predictive computational modeling. Traditional numerical simulations often require vast computational resources, making them infeasible for numerous engineering…

Fluid Dynamics · Physics 2023-11-15 Han Gao , Xu Han , Xiantao Fan , Luning Sun , Li-Ping Liu , Lian Duan , Jian-Xun Wang