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Ensemble forecast post-processing is a necessary step in producing accurate probabilistic forecasts. Conventional post-processing methods operate by estimating the parameters of a parametric distribution, frequently on a per-location or…

Machine Learning · Computer Science 2023-05-01 Peter Mlakar , Janko Merše , Jana Faganeli Pucer

Transparent models, which provide inherently interpretable predictions, are receiving significant attention in high-stakes domains. However, despite much real-world data being collected as time series, there is a lack of studies on…

Machine Learning · Computer Science 2025-12-17 Minkyu Kim , Suan Lee , Jinho Kim

Probabilistic time series forecasting predicts the conditional probability distributions of the time series at a future time given past realizations. Such techniques are critical in risk-based decision-making and planning under…

Machine Learning · Computer Science 2023-06-07 Xinyi Wang , Meijen Lee , Qing Zhao , Lang Tong

Recent years, weather forecasting has gained significant attention. However, accurately predicting weather remains a challenge due to the rapid variability of meteorological data and potential teleconnections. Current spatiotemporal…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Yuhao Du , Hui Liu , Haoxiang Peng , Xinyuan Cheng , Chengrong Wu , Jiankai Zhang

Although by now the ensemble-based probabilistic forecasting is the most advanced approach to weather prediction, ensemble forecasts still might suffer from lack of calibration and/or display systematic bias, thus require some…

Applications · Statistics 2024-09-18 Ágnes Baran , Sándor Baran

Time series forecasting plays a pivotal role in a wide range of applications, including weather prediction, healthcare, structural health monitoring, predictive maintenance, energy systems, and financial markets. While models such as LSTM,…

Machine Learning · Computer Science 2026-04-03 Qianying Cao , Shanqing Liu , Alan John Varghese , Jerome Darbon , Michael Triantafyllou , George Em Karniadakis

Despite the advancements in 3D full-shape generation, accurately modeling complex geometries and semantics of shape parts remains a significant challenge, particularly for shapes with varying numbers of parts. Current methods struggle to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Lei Cheng , Mahdi Saleh , Qing Cheng , Lu Sang , Hongli Xu , Daniel Cremers , Federico Tombari

Machine learning traditionally assumes that the training and testing data are distributed independently and identically. However, in many real-world settings, the data distribution can shift over time, leading to poor generalization of…

Machine Learning · Computer Science 2024-02-19 Sepidehsadat Hosseini , Mengyao Zhai , Hossein Hajimirsadegh , Frederick Tung

Multi-task and few-shot time series forecasting tasks are commonly encountered in scenarios such as the launch of new products in different cities. However, traditional time series forecasting methods suffer from insufficient historical…

Machine Learning · Computer Science 2025-06-25 Pengpeng Ouyang , Dong Chen , Tong Yang , Shuo Feng , Zhao Jin , Mingliang Xu

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

The existing methods for trajectory prediction are difficult to describe trajectory of moving objects in complex and uncertain environment accurately. In order to solve this problem, this paper proposes an adaptive trajectory prediction…

Robotics · Computer Science 2022-12-14 Hu Jin

A new ensemble forecast algorithm, named as the physics-informed data-driven algorithm with conditional Gaussian statistics (PIDD-CG), is developed to predict the time evolution of the probability density functions (PDFs) of complex…

Fluid Dynamics · Physics 2022-04-20 Nan Chen , Di Qi

Long-term forecasting involves predicting a horizon that is far ahead of the last observation. It is a problem of high practical relevance, for instance for companies in order to decide upon expensive long-term investments. Despite the…

Artificial Intelligence · Computer Science 2021-10-05 Kai Chen , Twan van Laarhoven , Elena Marchiori

Human trajectory forecasting requires capturing the multimodal nature of pedestrian behavior. However, existing approaches suffer from prior misalignment. Their learned or fixed priors often fail to capture the full distribution of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Chao Li , Rui Zhang , Siyuan Huang , Xian Zhong , Hongbo Jiang

This study evaluates three probabilistic forecasting strategies using LightGBM: global pooling, cluster-level pooling, and station-level modeling across a range of scenarios, from fully homogeneous simulated data to highly heterogeneous…

Applications · Statistics 2025-09-11 Jiahe Ling , Wei Biao Wu

Forecasting future events is a fundamental challenge for temporal knowledge graphs (tKG). As in real life predicting a mean function is most of the time not sufficient, but the question remains how confident can we be about our prediction?…

Machine Learning · Computer Science 2023-01-13 Soeren Nolting , Zhen Han , Volker Tresp

Modeling multivariate time series has long been a subject that has attracted researchers from a diverse range of fields including economics, finance, and traffic. A basic assumption behind multivariate time series forecasting is that its…

Machine Learning · Computer Science 2020-05-26 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Xiaojun Chang , Chengqi Zhang

Time series forecasting plays a central role in many real-world applications and has been extensively studied. Most existing approaches rely on deterministic models. However, real-world environments exhibit inherently uncertain and complex…

Machine Learning · Computer Science 2026-05-25 Minju Kim , Youngbum Hur

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

We adopt Gaussian Processes (GPs) as latent functions for probabilistic forecasting of intermittent time series. The model is trained in a Bayesian framework that accounts for the uncertainty about the latent function. We couple the latent…

Machine Learning · Statistics 2026-01-28 Stefano Damato , Dario Azzimonti , Giorgio Corani
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