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Generalized linear models (GLMs) arguably represent the standard approach for statistical regression beyond the Gaussian likelihood scenario. When Bayesian formulations are employed, the general absence of a tractable posterior distribution…

统计计算 · 统计学 2024-07-03 Niccolò Anceschi , Augusto Fasano , Beatrice Franzolini , Giovanni Rebaudo

Stochastic processes are a flexible and widely used family of models for statistical modeling. While stochastic processes offer attractive properties such as inclusion of uncertainty properties, their inference is typically intractable,…

统计方法学 · 统计学 2026-02-10 Teemu Härkönen , Simo Särkkä

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

Latent Gaussian models (LGMs) are perhaps the most commonly used class of models in statistical applications. Nevertheless, in areas ranging from longitudinal studies in biostatistics to geostatistics, it is easy to find datasets that…

统计方法学 · 统计学 2022-11-22 Rafael Cabral , David Bolin , Håvard Rue

Short-term wind speed prediction is essential for economical wind power utilization. The real-world wind speed data is typically intermittent and fluctuating, presenting great challenges to existing shallow models. In this paper, we present…

机器学习 · 计算机科学 2023-05-08 Hailong Shu

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

机器学习 · 统计学 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

Accurate mid-term (weeks to one year) hourly electricity load forecasts are essential for strategic decision-making in power plant operation, ensuring supply security and grid stability, planning and building energy storage systems, and…

应用统计 · 统计学 2025-05-01 Monika Zimmermann , Florian Ziel

Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

统计方法学 · 统计学 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

Probabilistic wind power forecasting approaches have significantly advanced in recent decades. However, forecasters often assume data completeness and overlook the challenge of missing values resulting from sensor failures, network…

应用统计 · 统计学 2024-04-25 Honglin Wen

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

统计方法学 · 统计学 2020-07-28 Rahi Kalantari , Mingyuan Zhou

The increasing interest in renewable energy, particularly in wind, has given rise to the necessity of accurate models for the generation of good synthetic wind speed data. Markov chains are often used with this purpose but better models are…

数据分析、统计与概率 · 物理学 2012-09-10 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

We address the problem of prediction for extreme observations by proposing an extremal linear prediction method. We construct an inner product space of nonnegative random variables derived from transformed-linear combinations of independent…

统计方法学 · 统计学 2026-01-21 Jeongjin Lee , Daniel Cooley

Bayesian modelling of dynamic systems must achieve a compromise between providing a complete mechanistic specification of the process while retaining the flexibility to handle those situations in which data is sparse relative to model…

机器学习 · 统计学 2018-11-02 Daniel J. Tait , Bruce J. Worton

This work extends the Integrated Nested Laplace Approximation (INLA) method to latent models outside the scope of latent Gaussian models, where independent components of the latent field can have a near-Gaussian distribution. The proposed…

统计计算 · 统计学 2016-08-14 Thiago G. Martins , Håvard Rue

In this paper we develop inference for high dimensional linear models, with serially correlated errors. We examine Lasso under the assumption of strong mixing in the covariates and error process, allowing for fatter tails in their…

计量经济学 · 经济学 2023-10-05 Ilias Chronopoulos , Katerina Chrysikou , George Kapetanios

Ensembles of forecasts are obtained from multiple runs of numerical weather forecasting models with different initial conditions and typically employed to account for forecast uncertainties. However, biases and dispersion errors often occur…

统计方法学 · 统计学 2015-12-23 Sándor Baran , Sebastian Lerch

In settings ranging from weather forecasts to political prognostications to financial projections, probability estimates of future binary outcomes often evolve over time. For example, the estimated likelihood of rain on a specific day…

机器学习 · 计算机科学 2021-11-05 Zhiyuan Jerry Lin , Hao Sheng , Sharad Goel

Many theoretical results for the lasso require the samples to be iid. Recent work has provided guarantees for the lasso assuming that the time series is generated by a sparse Vector Auto-Regressive (VAR) model with Gaussian innovations.…

统计理论 · 数学 2019-03-22 Kam Chung Wong , Zifan Li , Ambuj Tewari

Accurate wind speed and direction forecasting is paramount across many sectors, spanning agriculture, renewable energy generation, and bushfire management. However, conventional forecasting models encounter significant challenges in…

机器学习 · 计算机科学 2024-07-31 Fuling Chen , Kevin Vinsen , Arthur Filoche

Accurate prediction of wind ramp events is critical for ensuring the reliability and stability of the power systems with high penetration of wind energy. This paper proposes a classification based approach for estimating the future class of…

机器学习 · 计算机科学 2016-10-18 Saurav Gupta , Nitin Anand Shrivastava , Abbas Khosravi , Bijaya Ketan Panigrahi