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Flow matching has recently emerged as a powerful paradigm for generative modeling and has been extended to probabilistic time series forecasting in latent spaces. However, the impact of the specific choice of probability path model on…

Machine Learning · Statistics 2025-08-19 Soon Hoe Lim , Yijin Wang , Annan Yu , Emma Hart , Michael W. Mahoney , Xiaoye S. Li , N. Benjamin Erichson

Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for constructing the distribution of annual precipitation. The…

Atmospheric and Oceanic Physics · Physics 2024-05-24 Yosef Ashkenazy , Naftali R. Smith

This work discusses how to choose performance measures to compare numerical simulations of a flood event with one satellite image, e.g., in a model calibration or validation procedure. A series of criterion are proposed to evaluate the…

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

Methodology · Statistics 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Conventional time-series forecasting methods typically aim to minimize overall prediction error, without accounting for the varying importance of different forecast ranges in downstream applications. We propose a training methodology that…

Machine Learning · Computer Science 2025-08-15 Luca-Andrei Fechete , Mohamed Sana , Fadhel Ayed , Nicola Piovesan , Wenjie Li , Antonio De Domenico , Tareq Si Salem

Climate models struggle to accurately simulate precipitation, particularly extremes and the diurnal cycle. Here, we present a hybrid model that is trained directly on satellite-based precipitation observations. Our model runs at 2.8$^\circ$…

Atmospheric and Oceanic Physics · Physics 2024-12-17 Janni Yuval , Ian Langmore , Dmitrii Kochkov , Stephan Hoyer

Increasing spatial and temporal resolution of numerical models continues to propel progress in hydrological sciences, but, at the same time, it has strained the ability of modern automatic calibration methods to produce realistic model…

Applications · Statistics 2020-04-08 Ruochen Sun , Felipe Hernández , Xu Liang , Huiling Yuan

Count time series are widely encountered in practice. As with continuous valued data, many count series have seasonal properties. This paper uses a recent advance in stationary count time series to develop a general seasonal count time…

Methodology · Statistics 2021-11-23 Jiajie Kong , Robert Lund

A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

Machine learning for time-series forecasting remains a key area of research. Despite successful application of many machine learning techniques, relating computational efficiency to forecast error remains an under-explored domain. This…

Machine Learning · Computer Science 2023-09-28 Elin Törnquist , Wagner Costa Santos , Timothy Pogue , Nicholas Wingle , Robert A. Caulk

Highly resoluted and accurate daily precipitation data are required for impact models to perform adequately and to correctly measure high-risk events' impact. In order to produce such data, bias-correction is often needed. Most of those…

Applications · Statistics 2025-04-01 Ear Philippe , Di Bernardino Elena , Laloë Thomas , Troin Magali , Lambert Adrien

Previous studies showed that hydro-climate processes are stochastic and complex systems, and it is difficult to discover the hidden patterns in the all non-stationary data and thoroughly understand the hydro-climate relationships. For the…

Applications · Statistics 2018-10-02 Jianhua Xu

The use of the annual maximum series for flood frequency analyses limits the considered information to one event per year and one sample that is assumed to be homogeneous. However, flood may have different generating processes, such as…

Applications · Statistics 2021-11-29 Svenja Fischer

Utilizing the information in observations of a complex system to make accurate predictions through a quantitative model when observations are completed at time $T$, requires an accurate estimate of the full state of the model at time $T$.…

Chaotic Dynamics · Physics 2014-05-13 Zhe An , Daniel Rey , Henry D. I. Abarbanel

Modeling groundwater levels continuously across California's Central Valley (CV) hydrological system is challenging due to low-quality well data which is sparsely and noisily sampled across time and space. The lack of consistent well data…

Machine learning models can effectively forecast dynamical systems from time-series data, but they typically require large amounts of past data, making forecasting particularly challenging for systems with limited history. To overcome this,…

Machine Learning · Computer Science 2025-08-01 Declan A. Norton , Edward Ott , Andrew Pomerance , Brian Hunt , Michelle Girvan

Agriculture plays a crucial role in the global economy and social stability, and accurate crop yield prediction is essential for rational planting planning and decision-making. This study focuses on crop yield Time-Series Data prediction.…

Computers and Society · Computer Science 2025-02-18 Yueru Yan , Yue Wang , Jialin Li , Jingwei Zhang , Xingye Mo

New methods are proposed for adjusting probabilistic forecasts to ensure coherence with the aggregation constraints inherent in temporal hierarchies. The different approaches nested within this framework include methods that exploit…

Methodology · Statistics 2020-08-18 Jooyoung Jeon , Anastasios Panagiotelis , Fotios Petropoulos

We apply for the first time the Flow Matching method to the problem of phase-space sampling for event generation in high-energy collider physics. By training the model to remap the random numbers used to generate the momenta and helicities…

High Energy Physics - Phenomenology · Physics 2025-06-25 Enrico Bothmann , Timo Janßen , Max Knobbe , Bernhard Schmitzer , Fabian Sinz

Climate change has increased the severity and frequency of weather disasters all around the world. Flood inundation mapping based on earth observation data can help in this context, by providing cheap and accurate maps depicting the area…

Machine Learning · Computer Science 2023-03-02 Kevin Iselborn , Marco Stricker , Takashi Miyamoto , Marlon Nuske , Andreas Dengel
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