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We propose a class of structured diffusion models, in which the prior distribution is chosen as a mixture of Gaussians, rather than a standard Gaussian distribution. The specific mixed Gaussian distribution, as prior, can be chosen to…

Machine Learning · Computer Science 2024-10-28 Nanshan Jia , Tingyu Zhu , Haoyu Liu , Zeyu Zheng

Deep learning-based multivariate and multistep-ahead traffic forecasting models are typically trained with the mean squared error (MSE) or mean absolute error (MAE) as the loss function in a sequence-to-sequence setting, simply assuming…

Machine Learning · Computer Science 2026-01-28 Seongjin Choi , Nicolas Saunier , Vincent Zhihao Zheng , Martin Trepanier , Lijun Sun

We present a scheme by which a probabilistic forecasting system whose predictions have poor probabilistic calibration may be recalibrated by incorporating past performance information to produce a new forecasting system that is demonstrably…

Methodology · Statistics 2019-04-08 Carlo Graziani , Robert Rosner , Jennifer M. Adams , Reason L. Machete

Distributed power control over interference limited network has received an increasing intensity of interest over the past few years. Distributed solutions (like the iterative water-filling, gradient projection, etc.) have been intensively…

Information Theory · Computer Science 2015-05-19 Yong Cheng , Vincent K. N. Lau

This paper is concerned with developing a novel distributed Kalman filtering algorithm over wireless sensor networks based on randomized consensus strategy. Compared with the centralized algorithm, distributed filtering techniques require…

Systems and Control · Computer Science 2018-10-08 Jiahu Qin , Jie Wang , Ling Shi , Yu Kang

This study evaluates the potential of generative models, trained on historical ERA5 reanalysis data, for simulating windstorms over the UK. Four generative models, including a standard GAN, a WGAN-GP, a U-net diffusion model, and a…

Atmospheric and Oceanic Physics · Physics 2025-01-28 Yee Chun Tsoi , Kieran M. R. Hunt , Len Shaffrey , Atta Badii , Richard Dixon , Ludovico Nicotina

Faults in photovoltaic (PV) systems can seriously affect the efficiency, energy yield as well as the security of the entire PV plant, if not detected and corrected quickly. Therefore, fault diagnosis of PV arrays is indispensable for…

Systems and Control · Electrical Eng. & Systems 2021-05-20 Qianni Cao , Chen Shen , Mengshuo Jia

Mixtures of generalized normal distributions (MGND) have gained popularity for modelling datasets with complex statistical behaviours. However, the estimation of the shape parameter within the maximum likelihood framework is quite complex,…

Methodology · Statistics 2025-06-03 Pierdomenico Duttilo , Stefano Antonio Gattone

This work examines the problem of using finite Gaussian mixtures (GM) probability density functions in recursive Bayesian peer-to-peer decentralized data fusion (DDF). It is shown that algorithms for both exact and approximate GM DDF lead…

Signal Processing · Electrical Eng. & Systems 2019-07-10 Nisar R. Ahmed

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

Machine Learning · Computer Science 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

Wind farm parameterizations are crucial for quantifying the wind-farm atmosphere interaction, where wind turbines are typically modeled as elevated momentum sinks and sources of turbulence kinetic energy (TKE). These quantities must be…

Fluid Dynamics · Physics 2026-02-09 Bowen Du , Qi Li , Mingwei Ge , Xintao Li , Yongqian Liu

Wind farms can increase annual energy production (AEP) with advanced control algorithms by coordinating the set points of individual turbine controllers across the farm. However, it remains a significant challenge to achieve performance…

Optimization and Control · Mathematics 2020-03-18 Yi Guo , Mario Rotea , Tyler Summers

This letter presents a continuous probabilistic modeling methodology for spatial point cloud data using finite Gaussian Mixture Models (GMMs) where the number of components are adapted based on the scene complexity. Few hierarchical and…

Machine Learning · Computer Science 2023-03-14 Kshitij Goel , Nathan Michael , Wennie Tabib

Recent advances in communications, mobile computing, and artificial intelligence have greatly expanded the application space of intelligent distributed sensor networks. This in turn motivates the development of generalized Bayesian…

Robotics · Computer Science 2013-08-15 Nisar Ahmed , Tsung-Lin Yang , Mark Campbell

We present a novel approach to optimize wind farm layouts for maximum annual energy production (AEP). The optimization effort requires efficient wake models to predict the wake flow and, subsequently, the power generation of wind farms with…

Accurate probabilistic prediction of wind power is crucial for maintaining grid stability and facilitating the efficient integration of renewable energy sources. Gaussian process (GP) models offer a principled framework for quantifying…

Applications · Statistics 2025-11-11 Domniki Ladopoulou , Dat Minh Hong , Petros Dellaportas

Ensembles of forecasts are typically employed to account for the forecast uncertainties inherent in predictions of future weather states. However, biases and dispersion errors often present in forecast ensembles require statistical…

Methodology · Statistics 2015-07-21 Sándor Baran , Annette Möller

Assuming an exponential power distribution is one way to deal with outliers in regression and clustering, which can increase the robustness of the analysis. Gaussian distribution is a special case of an exponential distribution. And an…

Methodology · Statistics 2020-12-22 Xiao Chen

Forecasting models that are trained across sets of many time series, known as Global Forecasting Models (GFM), have shown recently promising results in forecasting competitions and real-world applications, outperforming many…

Machine Learning · Computer Science 2020-08-07 Kasun Bandara , Hansika Hewamalage , Yuan-Hao Liu , Yanfei Kang , Christoph Bergmeir