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We study methods to estimate drivers' posture in vehicles using acceleration data of wearable sensor and conduct field tests. To prevent fatal accidents, demands for safety management of bus and taxi are high. However, acceleration of…

Computers and Society · Computer Science 2018-09-17 Yoji Yamato

This paper describes the use of weighted Monte Carlo events to accurately approximate integrals of functions of the experimentally measured kinematical vectors and their dependence on physical parameters. This technique is demonstrated in…

High Energy Physics - Experiment · Physics 2015-06-25 G. K. Fanourakis , D. Fassouliotis , S. E. Tzamarias

A review of recent accelerometry experiments points to the need for a careful consideration of the question of where, exactly, the accelerometer sensor itself is located within the device that hosts the services required for its operation.…

Applied Physics · Physics 2019-03-26 C. I. Larnder , B. Larade

The detection of landmarks or patterns is of interest for extracting features in biological images. Hence, algorithms for finding these keypoints have been extensively investigated in the literature, and their localization and detection…

Information Theory · Computer Science 2017-10-11 Zsuzsanna Püspöki , Arash Amini , Julien Fageot , John Paul Ward , Michael Unser

Accurate velocity estimation is critical in mobile robotics, particularly for driver assistance systems and autonomous driving. Wheel odometry fused with Inertial Measurement Unit (IMU) data is a widely used method for velocity estimation;…

Robotics · Computer Science 2025-05-19 Liam Boyle , Jonas Kühne , Nicolas Baumann , Niklas Bastuck , Michele Magno

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

The techniques of laser cooling combined with atom interferometry make possible the realization of very sensitive and accurate inertial sensors like gyroscopes or accelerometers. Besides earth-based developments, the use of these techniques…

Atomic Physics · Physics 2008-08-29 Arnaud Landragin , Franck Pereira Dos Santos

Over the last few decades, Gyro-Free IMUs have been extensively researched to overcome the limitations of gyroscopes. This research presents a Non-coplanar Accelerometer Array (NAA) for estimating angular velocity with non-specific…

Robotics · Computer Science 2021-08-24 Michael Maynard , Vishesh Vikas

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

In this paper, we introduce an end-to-end framework for video analysis focused towards practical scenarios built on theoretical foundations from sparse representation, including a novel descriptor for general purpose video analysis. In our…

Computer Vision and Pattern Recognition · Computer Science 2016-06-20 Subhabrata Bhattacharya , Nasim Souly , Mubarak Shah

The fusion of visual and inertial measurements is becoming more and more popular in the robotics community since both sources of information complement well each other. However, in order to perform this fusion, the biases of the Inertial…

Robotics · Computer Science 2021-03-08 David Zuñiga-Noël , Francisco-Angel Moreno , Javier Gonzalez-Jimenez

We derive a maximum a posteriori estimator for the linear observation model, where the signal and noise covariance matrices are both uncertain. The uncertainties are treated probabilistically by modeling the covariance matrices with prior…

Statistics Theory · Mathematics 2014-03-12 Dave Zachariah , Nafiseh Shariati , Mats Bengtsson , Magnus Jansson , Saikat Chatterjee

This paper investigates the nonparametric estimation of a circular regression function in an errors-in-variables framework. Two settings are studied, depending on whether the covariates are circular or linear. Adaptive estimators are…

Statistics Theory · Mathematics 2025-08-27 Tien Dat Nguyen , Thanh Mai Pham Ngoc

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

Given a network of $N$ static nodes in $D$-dimensional space and the pairwise distances between them, the challenge of estimating the coordinates of the nodes is a well-studied problem. However, for numerous application domains, the nodes…

Signal Processing · Electrical Eng. & Systems 2022-03-08 Anurodh Mishra , Raj Thilak Rajan

A general rate estimation method is proposed that is based on studying the in-sample evolution of appropriately chosen diverging/converging statistics. The proposed rate estimators are based on simple least squares arguments, and are shown…

Statistics Theory · Mathematics 2009-09-29 Tucker McElroy , Dimitris N. Politis

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

Robotics · Computer Science 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Motivated by recent data analyses in biomedical imaging studies, we consider a class of image-on-scalar regression models for imaging responses and scalar predictors. We propose using flexible multivariate splines over triangulations to…

Methodology · Statistics 2021-06-04 Shan Yu , Guannan Wang , Li Wang , Lijian Yang

This work addresses the problem of designing an equivariant observer for a first order dynamical system on the unit-sphere. Building upon the established case of unit bearing vector dynamics with angular velocity inputs, we introduce an…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Gil Serrano , Marcelo Jacinto , Bruno J. Guerreiro , Rita Cunha

Estimation of covariance matrices or their inverses plays a central role in many statistical methods. For these methods to work reliably, estimated matrices must not only be invertible but also well-conditioned. In this paper we present an…

Methodology · Statistics 2014-08-06 Eric C. Chi , Kenneth Lange