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The forecasting of multi-variate time processes through graph-based techniques has recently been addressed under the graph signal processing framework. However, problems in the representation and the processing arise when each time series…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Alberto Natali , Elvin Isufi , Geert Leus

Accurate weather forecasts are important for disaster prevention, agricultural planning, etc. Traditional numerical weather prediction (NWP) methods offer physically interpretable high-accuracy predictions but are computationally expensive…

Machine Learning · Computer Science 2025-10-10 Yuan Gao , Hao Wu , Ruiqi Shu , Huanshuo Dong , Fan Xu , Rui Ray Chen , Yibo Yan , Qingsong Wen , Xuming Hu , Kun Wang , Jiahao Wu , Qing Li , Hui Xiong , Xiaomeng Huang

We introduce a novel algorithm for gradient-based optimization of stochastic objective functions. The method may be seen as a variant of SGD with momentum equipped with an adaptive learning rate automatically adjusted by an 'energy'…

Optimization and Control · Mathematics 2022-03-24 Hailiang Liu , Xuping Tian

Data driven methods for time series forecasting that quantify uncertainty open new important possibilities for robot tasks with hard real time constraints, allowing the robot system to make decisions that trade off between reaction time and…

Machine Learning · Computer Science 2020-01-08 Sebastian Gomez-Gonzalez , Sergey Prokudin , Bernhard Scholkopf , Jan Peters

Multivariate time-series forecasting plays a crucial role in many real-world applications. It is a challenging problem as one needs to consider both intra-series temporal correlations and inter-series correlations simultaneously. Recently,…

Machine Learning · Computer Science 2021-03-16 Defu Cao , Yujing Wang , Juanyong Duan , Ce Zhang , Xia Zhu , Conguri Huang , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Data assimilation, in its most comprehensive form, addresses the Bayesian inverse problem of identifying plausible state trajectories that explain noisy or incomplete observations of stochastic dynamical systems. Various approaches have…

Machine Learning · Computer Science 2023-11-01 François Rozet , Gilles Louppe

Score-based generative models (SGMs) are powerful tools to sample from complex data distributions. Their underlying idea is to (i) run a forward process for time $T_1$ by adding noise to the data, (ii) estimate its score function, and (iii)…

Machine Learning · Computer Science 2024-06-06 Francesco Pedrotti , Jan Maas , Marco Mondelli

This study investigates the dynamics of Score-based Generative Models (SGMs) by treating the score estimation error as a stochastic source driving the Fokker-Planck equation. Departing from particle-centric SDE analyses, we employ an SPDE…

Machine Learning · Computer Science 2026-02-10 Junsu Seo

Climate change is posing new challenges to crop-related concerns including food insecurity, supply stability and economic planning. As one of the central challenges, crop yield prediction has become a pressing task in the machine learning…

Machine Learning · Computer Science 2022-01-25 Joshua Fan , Junwen Bai , Zhiyun Li , Ariel Ortiz-Bobea , Carla P. Gomes

We present ChronoGraph, a graph-structured multivariate time series forecasting dataset built from real-world production microservices. Each node is a service that emits a multivariate stream of system-level performance metrics, capturing…

Machine Learning · Computer Science 2025-12-01 Adrian Catalin Lutu , Ioana Pintilie , Elena Burceanu , Andrei Manolache

Energy (load, wind, photovoltaic) forecasting is significant in the power industry as it can provide a reference for subsequent tasks such as power grid dispatch, thus bringing huge economic benefits. However, there are many differences…

Machine Learning · Computer Science 2024-10-07 Zhixian Wang , Qingsong Wen , Chaoli Zhang , Liang Sun , Leandro Von Krannichfeldt , Shirui Pan , Yi Wang

Forecasting future weather and climate is inherently difficult. Machine learning offers new approaches to increase the accuracy and computational efficiency of forecasts, but current methods are unable to accurately model uncertainty in…

Machine Learning · Computer Science 2023-02-02 Yusuke Hatanaka , Yannik Glaser , Geoff Galgon , Giuseppe Torri , Peter Sadowski

Causal discovery in time series is increasingly performed using nonlinear machine-learning models, yet the resulting causal relationships are almost always summarized by scalar edge scores. We argue that this practice obscures the true…

Machine Learning · Computer Science 2026-05-29 Valentina V. Kuskova , Dmitry Zaytsev , Michael Coppedge

Accurate uncertainty quantification is crucial for making reliable decisions in various supervised learning scenarios, particularly when dealing with complex, multimodal data such as images and text. Current approaches often face notable…

Machine Learning · Statistics 2026-03-30 Xinyu Tian , Xiaotong Shen

Wind has the potential to make a significant contribution to future energy resources. Locating the sources of this renewable energy on a global scale is however extremely challenging, given the difficulty to store very large data sets…

Applications · Statistics 2017-10-03 Jaehong Jeong , Stefano Castruccio , Paola Crippa , Marc G. Genton

We propose a novel tree-based ensemble method named Selective Cascade of Residual ExtraTrees (SCORE). SCORE draws inspiration from representation learning, incorporates regularized regression with variable selection features, and utilizes…

Machine Learning · Computer Science 2020-09-30 Qimin Liu , Fang Liu

Short term load forecasting has an essential medium for the reliable, economical and efficient operation of the power system. Most of the existing forecasting approaches utilize fixed statistical models with large historical data for…

Signal Processing · Electrical Eng. & Systems 2019-05-21 Irfan Ahmad Khan , Adnan Akber , Yinliang Xu

Nonlinear and delayed effects of covariates often render time series forecasting challenging. To this end, we propose a novel forecasting framework based on ridge regression with signature features calculated on sliding windows. These…

Methodology · Statistics 2025-10-15 Nina Drobac , Margaux Brégère , Joseph de Vilmarest , Olivier Wintenberger

Consider learning a generative model for time-series data. The sequential setting poses a unique challenge: Not only should the generator capture the conditional dynamics of (stepwise) transitions, but its open-loop rollouts should also…

Machine Learning · Statistics 2023-11-03 Daniel Jarrett , Ioana Bica , Mihaela van der Schaar

Generalized autoregressive score (GAS) models are a class of observation-driven time series models that employ the score to dynamically update time-varying parameters of the underlying probability distribution. GAS models have been…

Computation · Statistics 2024-05-09 Vladimír Holý