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This paper studies the parameter tuning problem of positive linear systems for optimizing their stability properties. We specifically show that, under certain regularity assumptions on the parametrization, the problem of finding the…

Optimization and Control · Mathematics 2019-11-26 Masaki Ogura , Masako Kishida , James Lam

Histogram-based template fits are the main technique used for estimating parameters of high energy physics Monte Carlo generators. Parametrized neural network reweighting can be used to extend this fitting procedure to many dimensions and…

High Energy Physics - Phenomenology · Physics 2021-04-08 Anders Andreassen , Shih-Chieh Hsu , Benjamin Nachman , Natchanon Suaysom , Adi Suresh

In this work, we develop and compare two innovative strategies for parameter estimation and radar detection of multiple point-like targets. The first strategy, which appears here for the first time, jointly exploits the maximum likelihood…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Pia Addabbo , Jun Liu , Danilo Orlando , Giuseppe Ricci

Target parameter estimation performance is investigated for a radar employing a set of widely separated transmitting and receiving antenna arrays. Cases with multiple extended targets are considered under two signal model assumptions:…

Information Theory · Computer Science 2018-08-02 Peter Khomchuk , Igal Bilik , Rick S. Blum

A two-stage batch estimation algorithm for solving a class of nonlinear, static parameter estimation problems that appear in aerospace engineering applications is proposed. It is shown how these problems can be recast into a form suitable…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Kerry Sun , Demoz Gebre-Egziabher

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Gaussian processes (GPs) are a popular model for spatially referenced data and allow descriptive statements, predictions at new locations, and simulation of new fields. Often a few parameters are sufficient to parameterize the covariance…

Machine Learning · Statistics 2021-01-01 Florian Gerber , Douglas W. Nychka

We study parameter estimation for non-global parameters in a low-dimensional chaotic model using the local ensemble transform Kalman filter (LETKF). By modifying existing techniques for using observational data to estimate global…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Thomas Bellsky , Jesse Berwald , Lewis Mitchell

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

The problem of estimating the parameters of a moving target in multiple-input multiple-output (MIMO) radar is considered and a new approach for estimating the moving target parameters by making use of the phase information associated with…

Information Theory · Computer Science 2015-06-04 Aboulnasr Hassanien , Sergiy A. Vorobyov , Alex B. Gershman

While local basis function (LBF) estimation algorithms, commonly used for identifying/tracking systems with time-varying parameters, demonstrate good performance under the assumption of normally distributed measurement noise, the estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Maciej Niedźwiecki , Artur Gańcza , Wojciech Żuławiński , Agnieszka Wyłomańska

Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows efficient optimization strategies - a well known example is…

Numerical Analysis · Mathematics 2015-06-05 Aleksandr Y. Aravkin , Tristan van Leeuwen

When the data are sparse, optimization of hyperparameters of the kernel in Gaussian process regression by the commonly used maximum likelihood estimation (MLE) criterion often leads to overfitting. We show that choosing hyperparameters (in…

Methodology · Statistics 2023-01-27 Sergei Manzhos , Manabu Ihara

Variance parameter estimation in linear mixed models is a challenge for many classical nonlinear optimization algorithms due to the positive-definiteness constraint of the random effects covariance matrix. We take a completely novel view on…

Machine Learning · Statistics 2022-12-20 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Estimation of model parameters in a dynamic system can be significantly improved with the choice of experimental trajectory. For general, nonlinear dynamic systems, finding globally "best" trajectories is typically not feasible; however,…

Robotics · Computer Science 2017-09-12 Andrew D. Wilson , Jarvis A. Schultz , Todd D. Murphey

This study explores the estimation of parameters in a matrix-valued linear regression model, where the $T$ responses $(Y_t)_{t=1}^T \in \mathbb{R}^{n \times p}$ and predictors $(X_t)_{t=1}^T \in \mathbb{R}^{m \times q}$ satisfy the…

Statistics Theory · Mathematics 2025-12-08 Nayel Bettache

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

Methodology · Statistics 2019-02-08 Fangzheng Xie , Yanxun Xu

A promising approach to accurate positioning of robots is ground texture based localization. It is based on the observation that visual features of ground images enable fingerprint-like place recognition. We tackle the issue of efficient…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Jan Fabian Schmid , Stephan F. Simon , Rudolf Mester

In this article, we present a method for increasing adaptivity of an existing robust estimation algorithm by learning two parameters to better fit the residual distribution. The analyzed method uses these two parameters to calculate weights…

Robotics · Computer Science 2023-06-27 Shounak Das , Jason Gross

The problem of estimating the parameters of a linear regression model $Z(s,t)=m_1g_1(s,t)+ \cdots + m_pg_p(s,t)+U(s,t)$ based on observations of $Z$ on a spatial domain $G$ of special shape is considered, where the driving process $U$ is a…

Statistics Theory · Mathematics 2014-04-02 Sándor Baran , Kinga Sikolya