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We revisit and generalize the concept of composite likelihood as a method to make a probabilistic inference by aggregation of multiple Bayesian agents, thereby defining a class of predictive models which we call composite Bayesian. This…

Computation · Statistics 2019-04-18 Alexis Roche

Power-expected-posterior (PEP) methodology, which borrows ideas from the literature on power priors, expected-posterior priors and unit information priors, provides a systematic way to construct objective priors. The basic idea is to use…

Methodology · Statistics 2021-12-07 Anupreet Porwal , Abel Rodriguez

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…

Machine Learning · Statistics 2018-11-02 Daniel J. Tait , Bruce J. Worton

We consider the Bayesian estimation of the parameters of a finite mixture model from independent order statistics arising from imperfect ranked set sampling designs. As a cost-effective method, ranked set sampling enables us to incorporate…

Computational models of complex physical systems often rely on simplifying assumptions which inevitably introduce model error, with consequent predictive errors. Given data on model observables, the estimation of parameterized model-error…

Methodology · Statistics 2026-02-23 Mridula Kuppa , Khachik Sargsyan , Marco Panesi , Habib N. Najm

Having actual models for power system components (such as generators and loads or auxiliary equipment) is vital to correctly assess the power system operating state and to establish stability margins. However, power system operators often…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Artem Mikhalev , Alexander Emchinov , Samuel Chevalier , Yury Maximov , Petr Vorobev

Modeling structure in complex networks using Bayesian non-parametrics makes it possible to specify flexible model structures and infer the adequate model complexity from the observed data. This paper provides a gentle introduction to…

Machine Learning · Statistics 2013-12-23 Mikkel N. Schmidt , Morten Mørup

Bayesian networks provide a method of representing conditional independence between random variables and computing the probability distributions associated with these random variables. In this paper, we extend Bayesian network structures to…

Artificial Intelligence · Computer Science 2013-02-21 Eric Driver , Darryl Morrell

Short-term load forecasting is a critical element of power systems energy management systems. In recent years, probabilistic load forecasting (PLF) has gained increased attention for its ability to provide uncertainty information that helps…

Machine Learning · Computer Science 2019-03-27 Qicheng Chang , Yishen Wang , Xiao Lu , Di Shi , Haifeng Li , Jiajun Duan , Zhiwei Wang

In the context of the expected-posterior prior (EPP) approach to Bayesian variable selection in linear models, we combine ideas from power-prior and unit-information-prior methodologies to simultaneously produce a minimally-informative…

Computation · Statistics 2015-04-27 Dimitris Fouskakis , Ioannis Ntzoufras , David Draper

The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

Transient gas network simulations can significantly assist in design and operational aspects of gas networks. Models used in these simulations require a detailed framework integrating various models of the network constituents - pipes and…

Optimization and Control · Mathematics 2025-02-24 Thomas Bendokat , Peter Benner , Sara Grundel , Ashwin S. Nayak

Computer models are used to model complex processes in various disciplines. Often, a key source of uncertainty in the behavior of complex computer models is uncertainty due to unknown model input parameters. Statistical computer model…

Methodology · Statistics 2013-08-02 Won Chang , Murali Haran , Roman Olson , Klaus Keller

Gaussian process regression has recently emerged as a powerful, system-agnostic tool for building global potential energy surfaces (PES) of polyatomic molecules. While the accuracy of GP models of PES increases with the number of potential…

Chemical Physics · Physics 2019-07-23 Jun Dai , Roman V. Krems

In this paper, a model for understanding the effects of selection using systems- level computational approaches is introduced. A number of concepts and principles essential for understanding the motivation for constructing the model will be…

Populations and Evolution · Quantitative Biology 2009-03-04 Bradly Alicea

We propose a Bayesian framework for fine-tuning large diffusion models with a novel network structure called Bayesian Power Steering (BPS). We clarify the meaning behind adaptation from a \textit{large probability space} to a \textit{small…

Machine Learning · Computer Science 2024-06-07 Ding Huang , Ting Li , Jian Huang

Short-term probabilistic wind power forecasting can provide critical quantified uncertainty information of wind generation for power system operation and control. As the complicated characteristics of wind power prediction error, it would…

Machine Learning · Computer Science 2017-02-14 You Lin , Ming Yang , Can Wan , Jianhui Wang , Yonghua Song

Power System Resource Planning is the recurrent process of studying and determining what facilities and procedures should be provided to satisfy and promote appropriate future demands for electricity. The electric power system as planned…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Sohom Datta

This document is in supplement to the paper titled "Multi-Robot Relative Pose Estimation and IMU Preintegration Using Passive UWB Transceivers", available at [1]. The purpose of this document is to show how IMU biases can be incorporated…

The letter proposes an adaptive model reduction approach based on tensor decomposition to speed up time-domain power system simulation. Taylor series expansion of a power system dynamic model is calculated around multiple equilibria…

Systems and Control · Computer Science 2019-04-02 Denis Osipov , Kai Sun