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Some real-world decision-making problems require making probabilistic forecasts over multiple steps at once. However, methods for probabilistic forecasting may fail to capture correlations in the underlying time-series that exist over long…

机器学习 · 计算机科学 2022-01-19 Arec Jamgochian , Di Wu , Kunal Menda , Soyeon Jung , Mykel J. Kochenderfer

We use the technique of information relaxation to develop a duality-driven iterative approach to obtaining and improving confidence interval estimates for the true value of finite-horizon stochastic dynamic programming problems. We show…

最优化与控制 · 数学 2020-07-29 Nan Chen , Xiang Ma , Yanchu Liu , Wei Yu

Bayesian models based on Gaussian processes (GPs) offer a flexible framework to predict spatially distributed variables with uncertainty. But the use of nonstationary priors, often necessary for capturing complex spatial patterns, makes…

机器学习 · 统计学 2025-06-02 Gabriel V Cardoso , Mike Pereira

Large-scale numerical simulations often produce high-dimensional gridded data that is challenging to process for downstream applications. A prime example is numerical weather prediction, where atmospheric processes are modeled using…

机器学习 · 计算机科学 2025-02-10 Jieyu Chen , Kevin Höhlein , Sebastian Lerch

We develop Bayesian models for density regression with emphasis on discrete outcomes. The problem of density regression is approached by considering methods for multivariate density estimation of mixed scale variables, and obtaining…

统计方法学 · 统计学 2019-08-14 Georgios Papageorgiou

We present a regime-switching vector-autoregressive method for very-short-term wind speed forecasting at multiple locations with regimes based on large-scale meteorological phenomena. Statistical methods short-term wind forecasting…

应用统计 · 统计学 2018-05-31 Jethro Browell , Daniel R. Drew , Kostas Philippopoulos

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

统计方法学 · 统计学 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

This paper introduces a new approach to quantify the impact of forward propagated demand and weather uncertainty on power system planning and operation models. Recent studies indicate that such sampling uncertainty, originating from demand…

应用统计 · 统计学 2020-11-17 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

A novel approach is applied for improving forecast accuracy and achieving coherence in forecasting the Italian daily energy generation time series. In hierarchical frameworks such as national energy generation disaggregated by geographical…

应用统计 · 统计学 2025-02-18 Daniele Girolimetto , Tommaso Di Fonzo

Weather prediction today is performed with numerical weather prediction (NWP) models. These are deterministic simulation models describing the dynamics of the atmosphere, and evolving the current conditions forward in time to obtain a…

应用统计 · 统计学 2020-03-18 Annette Möller , Jürgen Groß

Due to their conjugate posteriors, Gaussian process priors are attractive for estimating the drift of stochastic differential equations with continuous time observations. However, their performance strongly depends on the choice of the…

统计理论 · 数学 2020-02-04 Jan van Waaij

Motivated by the pursuit of safe, reliable, and weather-tolerant urban air mobility (UAM) solutions, this work proposes a generative modeling approach for characterizing microweather wind velocities. Microweather, or the weather conditions…

计算工程、金融与科学 · 计算机科学 2025-03-05 Tristan A. Shah , Michael C. Stanley , James E. Warner

We consider the problem of power demand forecasting in residential micro-grids. Several approaches using ARMA models, support vector machines, and recurrent neural networks that perform one-step ahead predictions have been proposed in the…

神经与进化计算 · 计算机科学 2017-06-30 Riccardo Bonetto , Michele Rossi

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…

应用统计 · 统计学 2017-10-03 Jaehong Jeong , Stefano Castruccio , Paola Crippa , Marc G. Genton

Most of the methods that produce space weather forecasts are based on deterministic models. In order to generate a probabilistic forecast, a model needs to be run several times sampling the input parameter space, in order to generate an…

空间物理 · 物理学 2019-05-01 Enrico Camporeale , Xiangning Chu , Oleksiy Agapitov , Jacob Bortnik

Diffusion models offer a physically grounded framework for probabilistic weather forecasting, but their typical reliance on slow, iterative solvers during inference makes them impractical for subseasonal-to-seasonal (S2S) applications where…

机器学习 · 计算机科学 2025-10-01 Jason Stock , Troy Arcomano , Rao Kotamarthi

This paper presents expression of mutual information that defines the information gain in planning of sensing resources, when the goal is to reduce the forecast uncertainty of some quantities of interest and the system dynamics is described…

系统与控制 · 计算机科学 2013-08-02 Han-Lim Choi

Multi-step forecasting is often described through a simple rule of thumb: recursive strategies are said to have high bias and low variance, while direct strategies are said to have low bias and high variance. We revisit this belief by…

机器学习 · 计算机科学 2025-11-17 Riku Green , Huw Day , Zahraa S. Abdallah , Telmo M. Silva Filho

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

应用统计 · 统计学 2019-10-29 Belhal Karimi , Marc Lavielle

Uncertainty analysis in the form of probabilistic forecasting can significantly improve decision making processes in the smart power grid for better integrating renewable energy sources such as wind. Whereas point forecasting provides a…

机器学习 · 统计学 2017-10-05 Kostas Hatalis , Alberto J. Lamadrid , Katya Scheinberg , Shalinee Kishore