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In this paper, we address the fundamental problem of line spectral estimation in a Bayesian framework. We target model order and parameter estimation via variational inference in a probabilistic model in which the frequencies are…

Information Theory · Computer Science 2017-04-05 Mihai-Alin Badiu , Thomas Lundgaard Hansen , Bernard Henri Fleury

We propose a fast probabilistic framework for identifying differential equations governing the dynamics of observed data. We recast the SINDy method within a Bayesian framework and use Gaussian approximations for the prior and likelihood to…

Methodology · Statistics 2024-09-24 Lloyd Fung , Urban Fasel , Matthew P. Juniper

Extracting Times of Arrival from pulsar radio signals depends on the knowledge of the pulsars pulse profile and how this template is generated. We examine pulsar template generation with Bayesian methods. We will contrast the classical…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 M. Imgrund , D. J. Champion , M. Kramer , H. Lesch

A Bayesian approach is presented for detecting and characterising the signal from discrete objects embedded in a diffuse background. The approach centres around the evaluation of the posterior distribution for the parameters of the discrete…

Astrophysics · Physics 2009-11-07 M. P. Hobson , C. McLachlan

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Alice Cicirello , Filippo Giunta

In this paper we focus on the parameter estimation of dynamic load models with stochastic terms, in particular, load models where protection settings are uncertain, such as in aggregated air conditioning units. We show how the uncertainty…

Optimization and Control · Mathematics 2020-04-30 Daniel Adrian Maldonado , Vishwas Rao , Mihai Anitescu , Vivak Patel

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

Fluid Dynamics · Physics 2022-11-10 Andrea Nóvoa , Luca Magri

We study fault identification in discrete-time nonlinear systems subject to additive Gaussian white noise. We introduce a Bayesian framework that explicitly accounts for unmodeled faults under reasonable assumptions. Our approach hinges on…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Chun-Wei Kong , Jay McMahon , Morteza Lahijanian

We propose a novel numerical method for solving inverse problems subject to impulsive noises which possibly contain a large number of outliers. The approach is of Bayesian type, and it exploits a heavy-tailed t distribution for data noise…

Numerical Analysis · Mathematics 2015-05-30 Bangti Jin

Our understanding of physical systems generally depends on our ability to match complex computational modelling with measured experimental outcomes. However, simulations with large parameter spaces suffer from inverse problem instabilities,…

Plasma Physics · Physics 2020-01-22 M. F. Kasim , T. P. Galligan , J. Topp-Mugglestone , G. Gregori , S. M. Vinko

Procedural material models have been gaining traction in many applications thanks to their flexibility, compactness, and easy editability. We explore the inverse rendering problem of procedural material parameter estimation from…

Graphics · Computer Science 2025-04-22 Yu Guo , Milos Hasan , Lingqi Yan , Shuang Zhao

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Regularized system identification is the major advance in system identification in the last decade. Although many promising results have been achieved, it is far from complete and there are still many key problems to be solved. One of them…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Yue Ju , Biqiang Mu , Lennart Ljung , Tianshi Chen

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

In this work, we present a new class of models, called uncertain-input models, that allows us to treat system-identification problems in which a linear system is subject to a partially unknown input signal. To encode prior information about…

Systems and Control · Computer Science 2017-09-12 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

Quantum sensors typically translate external fields into a periodic response whose frequency is then determined by analyses performed in Fourier space. This allows for a linear inference of the parameters that characterize external signals.…

Quantum Physics · Physics 2021-08-27 R. Puebla , Y. Ban , J. F. Haase , M. B. Plenio , M. Paternostro , J. Casanova

This paper solves a Bayes sequential impulse control problem for a diffusion, whose drift has an unobservable parameter with a change point. The partially-observed problem is reformulated into one with full observations, via a change of…

Optimization and Control · Mathematics 2014-08-19 Lokman A. Abbas-Turki , Ioannis Karatzas , Qinghua Li

In this short paper, we aim at developing algorithms for sparse Volterra system identification when the system to be identified has infinite impulse response. Assuming that the impulse response is represented as a sum of exponentials and…

Systems and Control · Computer Science 2019-03-27 Sarah Hojjatinia , Korkut Bekiroglu , Constantino M. Lagoa

Statistical Inference is the process of determining a probability distribution over the space of parameters of a model given a data set. As more data becomes available this probability distribution becomes updated via the application of…

Disordered Systems and Neural Networks · Physics 2022-04-28 David S. Berman , Jonathan J. Heckman , Marc Klinger
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