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Parameter estimation is a major challenge in computational modeling of biological processes. This is especially the case in image-based modeling where the inherently quantitative output of the model is measured against image data, which is…

Quantitative Methods · Quantitative Biology 2018-07-27 Diana Barac , Michael D. Multerer , Dagmar Iber

Motivated by increasing penetration of distributed generators (DGs) and fast development of micro-phasor measurement units ({\mu}PMUs), this paper proposes a novel graph-based faulted line identification algorithm using a limited number of…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Ying Zhang , Jianhui Wang , Mohammad Khodayar

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

Methodology · Statistics 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2010-03-15 Ricardo Silva , Robert B. Gramacy

Disturbance noises are always bounded in a practical system, while fusion estimation is to best utilize multiple sensor data containing noises for the purpose of estimating a quantity--a parameter or process. However, few results are…

Systems and Control · Computer Science 2018-07-20 Bo Chen , Guoqiang Hu , Daniel W. C. Ho , Li Yu

Phasor measurement units ({PMUs}) have become instrumental in modern power systems for enabling real-time, wide-area monitoring and control. Accordingly, many studies have investigated efficient and robust dynamic state estimation (DSE)…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Sebastian Nugroho , Ahmad Taha , Nikolaos Gatsis , Junbo Zhao

In this paper, a new method for the separation of noise categories based on Four-Wave Mixing is presented. The theoretical analysis is grounded in the Gaussian Noise model and verified by split step simulations. The noise categories react…

Systems and Control · Electrical Eng. & Systems 2022-09-14 F. J. Vaquero-Caballero , D. J. Ives , S. J. Savory

Throughout the life sciences we routinely seek to interpret measurements and observations using parameterised mechanistic mathematical models. A fundamental and often overlooked choice in this approach involves relating the solution of a…

Quantitative Methods · Quantitative Biology 2023-11-10 Ryan J. Murphy , Oliver J. Maclaren , Matthew J. Simpson

This paper presents a geometric approach to pitch estimation (PE)-an important problem in Music Information Retrieval (MIR), and a precursor to a variety of other problems in the field. Though there exist a number of highly-accurate…

Sound · Computer Science 2020-12-09 Tom Goodman , Karoline van Gemst , Peter Tino

A general approach to provide approximate parameterizations of the "small" scales by the "large" ones, is developed for stochastic partial differential equations driven by linear multiplicative noise. This is accomplished via the concept of…

Analysis of PDEs · Mathematics 2013-10-16 Mickael D. Chekroun , Honghu Liu , Shouhong Wang

Signal processing in non-Gaussian noise environment is addressed in this paper. For many real-life situations, the additive noise process present in the system is found to be dominantly non-Gaussian. The problem of detection and estimation…

Statistics Theory · Mathematics 2014-01-23 Jugalkishore K. Banoth , Pradip Sircar

This paper compares and evaluates a set of non-parametric mutual information estimators with the goal of providing a novel toolset to progress in the analysis of the capacity of the nonlinear optical channel, which is currently an open…

Information Theory · Computer Science 2018-01-25 Tommaso Catuogno , Menelaos Ralli Camara , Marco Secondini

This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

Information Theory · Computer Science 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

Phasor Measurement Units (PMUs) are used in the measurement, control and protection of power grids. However, deploying PMUs at every bus in a power system is prohibitively expensive, necessitating partial PMU placement that can ensure…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Sajjad Maleki , Subhash Lakshminarayana , E. Veronica Belmega , Carsten Maple

Gaussian mixtures are a common density representation in nonlinear, non-Gaussian Bayesian state estimation. Selecting an appropriate number of Gaussian components, however, is difficult as one has to trade of computational complexity…

Systems and Control · Computer Science 2012-04-02 Marco F. Huber

Phasor Measurement Units (PMUs) are measurement devices long used in transmission systems and today even more essential for a proper monitoring of distribution grids. The expected massive penetration of distributed energy resources (DERs)…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Carlo Guarnieri Calo\' Carducci , Gianluca Lipari , Nicola Giaquinto , Ferdinanda Ponci , Antonello Monti

Sparse linear inverse problems appear in a variety of settings, but often the noise contaminating observations cannot accurately be described as bounded by or arising from a Gaussian distribution. Poisson observations in particular are a…

Statistics Theory · Mathematics 2018-02-14 Xin Jiang , Patricia Reynaud-Bouret , Vincent Rivoirard , Laure Sansonnet , Rebecca Willett

In this thesis we study adaptive nonparametric regression with noise misspecification and the complexity of approximation of random fields in dependence of the dimension. First, we consider the problem of pointwise estimation in…

Statistics Theory · Mathematics 2012-08-15 Nora Serdyukova

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

Information Theory · Computer Science 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen
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