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This paper proposes a nonparametric multivariate density forecast model based on deep learning. It not only offers the whole marginal distribution of each random variable in forecasting targets, but also reveals the future correlation…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Zichao Meng , Ye Guo , Wenjun Tang , Hongbin Sun

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

Atmospheric and Oceanic Physics · Physics 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

The increasing integration of renewable energy sources (RESs) into modern power systems presents significant opportunities but also notable challenges, primarily due to the inherent variability of RES generation. Accurate forecasting of RES…

Machine Learning · Computer Science 2026-01-19 Farshid Kamrani , Kristen Schell

We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in…

Computational Physics · Physics 2019-09-20 Pantelis R. Vlachas , Wonmin Byeon , Zhong Y. Wan , Themistoklis P. Sapsis , Petros Koumoutsakos

Missing value imputation is an important practical problem. There is a large body of work on it, but there does not exist any work that formulates the problem in a structured output setting. Also, most applications have constraints on the…

Machine Learning · Computer Science 2013-11-12 Rahul Kidambi , Vinod Nair , Sundararajan Sellamanickam , S. Sathiya Keerthi

Accurate short-term energy consumption forecasting is essential for efficient power grid management, resource allocation, and market stability. Traditional time-series models often fail to capture the complex, non-linear dependencies and…

Computers and Society · Computer Science 2026-01-27 Abhishek Maity , Viraj Tukarul

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

Machine Learning · Computer Science 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

In many machine learning applications, we are faced with incomplete datasets. In the literature, missing data imputation techniques have been mostly concerned with filling missing values. However, the existence of missing values is…

Machine Learning · Computer Science 2020-09-07 Mohammad Kachuee , Kimmo Karkkainen , Orpaz Goldstein , Sajad Darabi , Majid Sarrafzadeh

Short-term load forecasting is one of the crucial sections in smart grid. Precise forecasting enables system operators to make reliable unit commitment and power dispatching decisions. With the advent of big data, a number of artificial…

Signal Processing · Electrical Eng. & Systems 2018-09-27 Tiantian Li , Bo Wang , Min Zhou , Junzo Watada

Effectively modeling non-stationary dynamics in probabilistic multivariate time series(MTS) forecasting requires balancing expressiveness with robustness. Existing parametric approaches benefit from strong inductive biases but lack…

Machine Learning · Computer Science 2026-05-25 Jinglin Li , Jun Tan , QI Fang , Ning Gui

Generative models play an important role in missing data imputation in that they aim to learn the joint distribution of full data. However, applying advanced deep generative models (such as Diffusion models) to missing data imputation is…

Machine Learning · Computer Science 2025-05-27 Hengrui Zhang , Liancheng Fang , Qitian Wu , Philip S. Yu

The proliferation of intermittent distributed renewable energy sources (RES) in modern power systems has fundamentally compromised the reliability and accuracy of deterministic net load forecasting. Generative models, particularly diffusion…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Yixiang Huang , Jianhua Pei , Luocheng Chen , Zhenchang Du , Jinfu Chen , Zirui Peng

Generative probabilistic forecasting produces future time series samples according to the conditional probability distribution given past time series observations. Such techniques are essential in risk-based decision-making and planning…

Machine Learning · Computer Science 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

We introduce Latent Space Distribution Matching (LSDM), a novel framework for semi-supervised generative modeling of conditional distributions. LSDM operates in two stages: (i) learning a low-dimensional latent space from both paired and…

Machine Learning · Statistics 2026-03-05 Kwong Yu Chong , Long Feng

Renewable energy sources, such as wind and solar power, are increasingly being integrated into smart grid systems. However, when compared to traditional energy resources, the unpredictability of renewable energy generation poses significant…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Arman Ghasemi , Amin Shojaeighadikolaei , Morteza Hashemi

Nonparametric regression imputation is commonly used in missing data analysis. However, it suffers from the ``curse of dimension". The problem can be alleviated by the explosive sample size in the era of big data, while the large-scale data…

Methodology · Statistics 2023-09-26 Ruoyu Wang , Miaomiao Su , Qihua Wang

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

We investigate regression for variable length sequential data containing missing samples and introduce a novel tree architecture based on the Long Short-Term Memory (LSTM) networks. In our architecture, we employ a variable number of LSTM…

Machine Learning · Computer Science 2020-05-26 S. Onur Sahin , Suleyman S. Kozat

Missing values are common in photovoltaic (PV) power data, yet the uncertainty they induce is not propagated into predictive distributions. We develop a framework that incorporates missing-data uncertainty into short-term PV forecasting by…

Machine Learning · Computer Science 2026-03-17 Parastoo Pashmchi , Jérôme Benoit , Motonobu Kanagawa

Distribution forecast can quantify forecast uncertainty and provide various forecast scenarios with their corresponding estimated probabilities. Accurate distribution forecast is crucial for planning - for example when making production…

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