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The stochastic differential equation (SDE)-based random process models of volatile renewable energy sources (RESs) jointly capture the evolving probability distribution and temporal correlation in continuous time. It has enabled recent…

机器学习 · 计算机科学 2023-12-12 Yiwei Qiu , Jin Lin , Zhipeng Zhou , Ningyi Dai , Feng Liu , Yonghua Song

The original development of Shapley values for prediction explanation relied on the assumption that the features being described were independent. If the features in reality are dependent this may lead to incorrect explanations. Hence,…

统计方法学 · 统计学 2021-02-15 Kjersti Aas , Thomas Nagler , Martin Jullum , Anders Løland

Uncertainty estimations for machine learning interatomic potentials (MLIPs) are crucial for quantifying model error and identifying informative training samples in active learning strategies. In this study, we evaluate uncertainty…

机器学习 · 计算机科学 2025-01-10 Matthias Holzenkamp , Dongyu Lyu , Ulrich Kleinekathöfer , Peter Zaspel

The volatile nature of wind power generation creates challenges in achieving secure power grid operations. It is, therefore, necessary to make accurate wind power prediction and its uncertainty quantification. Wind power forecasting usually…

应用统计 · 统计学 2020-09-29 Jingxing Wang , Abdullah Alshelahi , Mingdi You , Eunshin Byon , Romesh Saigal

Some applications of deep learning require not only to provide accurate results but also to quantify the amount of confidence in their prediction. The management of an electric power grid is one of these cases: to avoid risky scenarios,…

机器学习 · 计算机科学 2023-08-25 Michele Guerra , Simone Scardapane , Filippo Maria Bianchi

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

统计方法学 · 统计学 2021-11-16 Shenyi Pan , Harry Joe

Data-driven prediction is becoming increasingly widespread as the volume of data available grows and as algorithmic development matches this growth. The nature of the predictions made, and the manner in which they should be interpreted,…

统计理论 · 数学 2020-11-24 Dmitry Burov , Dimitrios Giannakis , Krithika Manohar , Andrew Stuart

With the expansion of renewables in the electricity mix, power grid variability will increase, hence a need to robustify the system to guarantee its security. Therefore, Transport System Operators (TSOs) must conduct analyses to simulate…

机器学习 · 计算机科学 2023-09-28 Nathan Weill , Jonathan Dumas

This paper investigates the sensitivity of forecast performance measures to taking a real time versus pseudo out-of-sample perspective. We use monthly vintages for the United States (US) and the Euro Area (EA) and estimate a set of vector…

计量经济学 · 经济学 2020-04-13 Michael Pfarrhofer

Applying probability-related knowledge to accurately explore and exploit the inherent uncertainty of wind power output is one of the key issues that need to be solved urgently in the development of smart grid. This letter develops an…

系统与控制 · 电气工程与系统科学 2019-08-19 Libao Shi , Yang Pan , Yixin Ni

In recent years, conditional copulas, that allow dependence between variables to vary according to the values of one or more covariates, have attracted increasing attention. In high dimension, vine copulas offer greater flexibility compared…

统计方法学 · 统计学 2021-09-24 Rosario Barone , Luciana Dalla Valle

Copulas allow to learn marginal distributions separately from the multivariate dependence structure (copula) that links them together into a density function. Vine factorizations ease the learning of high-dimensional copulas by constructing…

统计方法学 · 统计学 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

统计方法学 · 统计学 2012-04-05 Eike Christian Brechmann , Claudia Czado

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…

机器学习 · 计算机科学 2024-02-22 Xinyi Wang , Lang Tong , Qing Zhao

In recent works by Yang et al. (2017a,b), and Yagli et al. (2019), geographical, temporal, and sequential deterministic reconciliation of hierarchical photovoltaic (PV) power generation have been considered for a simulated PV dataset in…

应用统计 · 统计学 2022-09-16 Tommaso Di Fonzo , Daniele Girolimetto

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

统计金融 · 定量金融 2023-05-16 Jia Xu , Longbing Cao

A broad class of stochastic volatility models are defined by systems of stochastic differential equations. While these models have seen widespread success in domains such as finance and statistical climatology, they typically lack an…

机器学习 · 计算机科学 2022-07-15 Gregory Benton , Wesley J. Maddox , Andrew Gordon Wilson

Probabilistic regression models typically use the Maximum Likelihood Estimation or Cross-Validation to fit parameters. These methods can give an advantage to the solutions that fit observations on average, but they do not pay attention to…

应用统计 · 统计学 2022-05-24 Naoufal Acharki , Antoine Bertoncello , Josselin Garnier

This study evaluates the performance of cointegrated vector autoregressive (VAR) models for very short- and short-term wind power forecasting. Preliminary results for a German data set comprising six wind power production time series…

应用统计 · 统计学 2020-10-16 Florian Ziel , Antonia Arsova

Vine copulas are flexible dependence models using bivariate copulas as building blocks. If the parameters of the bivariate copulas in the vine copula depend on covariates, one obtains a conditional vine copula. We propose an extension for…

统计方法学 · 统计学 2024-06-21 David Jobst , Annette Möller , Jürgen Groß