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The extremes of a stationary time series typically occur in clusters. A primary measure for this phenomenon is the extremal index, representing the reciprocal of the expected cluster size. Both a disjoint and a sliding blocks estimator for…

Statistics Theory · Mathematics 2017-07-14 Betina Berghaus , Axel Bücher

We present an improved method for calculating the parallel and perpendicular velocity correlation functions directly from peculiar velocity surveys using weighted maximum-likelihood estimators. A central feature of the new method is the use…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Yuyu Wang , Sarah Peery , Hume A. Feldman , Richard Watkins

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

Information Theory · Computer Science 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

We propose a strategy for optimizing a sensor trajectory in order to estimate the time dependence of a localized scalar source in turbulent channel flow. The approach leverages the view of the adjoint scalar field as the sensitivity of…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Constantinos F. Panagiotou , Davide Cerizza , Tamer A. Zaki , Yosuke Hasegawa

The need to accurately estimate the speed of road vehicles is becoming increasingly important for at least two main reasons. First, the number of speed cameras installed worldwide has been growing in recent years, as the introduction and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 David Fernández Llorca , Antonio Hernández Martínez , Iván García Daza

We propose an attitude and gyro-bias estimation scheme for accelerated rigid body systems using an inertial measurement unit (IMU) and a global positioning system (GPS). The proposed scheme allows to obtain attitude estimates directly on…

Optimization and Control · Mathematics 2017-03-17 Soulaimane Berkane , Abdelhamid Tayebi

Least absolute deviation regression is applied using a fixed number of points for all values of the index to estimate the index and scale parameter of the stable distribution using regression methods based on the empirical characteristic…

Computation · Statistics 2018-11-06 J. Martin van Zyl

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

Statistics Theory · Mathematics 2008-02-20 Joseph Rynkiewicz

In this paper, we consider the problem of estimating a scalar field using a network of mobile sensors which can measure the value of the field at their instantaneous location. The scalar field to be estimated is assumed to be represented by…

Systems and Control · Electrical Eng. & Systems 2019-07-03 Rihab Abdul Razak , Sukumar Srikant , Hoam Chung

In error-tolerant applications, approximate adders have been exploited extensively to achieve energy efficient system designs. Mean error distance is one of the important error metrics used as a performance measure of approximate adders. In…

Other Computer Science · Computer Science 2018-03-22 Avishek Sinha Roy , Anindya Sundar Dhar

The purpose of this work is twofold: to present mathematical expressions for the kinematics of an articulated mechanism and to perform numerical experiments with the implemented code. The system of rigid parts is made of two slender bars…

Physics Education · Physics 2015-10-06 Luciano Fleischfresser

Many data-analysis problems involve large dense matrices that describe the covariance of stationary noise processes; the computational cost of inverting these matrices, or equivalently of solving linear systems that contain them, is often a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Rutger van Haasteren , Michele Vallisneri

This work investigates the problem of tangential velocity estimation in automotive radar systems, addressing the limitations of conventionally considered models. Conventional automotive radars are usually based on far-field models and…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Michael Shifrin , Joseph Tabrikian , Igal Bilik

This paper is a broad and accessible survey of the methods we have at our disposal for Monte Carlo gradient estimation in machine learning and across the statistical sciences: the problem of computing the gradient of an expectation of a…

Machine Learning · Statistics 2020-09-30 Shakir Mohamed , Mihaela Rosca , Michael Figurnov , Andriy Mnih

We consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix. Using a coordinate descent procedure for the lasso, we develop a simple algorithm that is remarkably fast: in the worst cases,…

Methodology · Statistics 2007-08-28 Jerome Friedman , Trevor Hastie , Robert Tibshirani

Adaptive Kinetic Monte Carlo combines the simplicity of Kinetic Monte Carlo (KMC) with a Molecular Dynamics (MD) based saddle point search algorithm in order to simulate metastable systems. Key to making Adaptive KMC effective is a stopping…

Mathematical Physics · Physics 2017-02-08 D. Aristoff , S. Chill , G. Simpson

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

Robotics · Computer Science 2018-09-28 Philipp Allgeuer , Sven Behnke

We develop practical schemes for the measurement of the covariance matrix for intrinsic angular-momentum variables in quantum optics. We particularize this approach to two-beam polarimetry and interferometry, as well as to ensembles of…

Quantum Physics · Physics 2009-04-28 Ángel Rivas , Alfredo Luis
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