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This article reports on a new approach to properly analyze time series of dynamical systems which are spoilt by the simultaneous presence of dynamical noise and measurement noise. It is shown that even strong external measurement noise as…

Chaotic Dynamics · Physics 2009-11-11 Frank Boettcher , Joachim Peinke , David Kleinhans , Rudolf Friedrich , Pedro G. Lind , Maria Haase

The motion-and-time analysis has been a popular research topic in operations research, especially for analyzing work performances in manufacturing and service operations. It is regaining attention as continuous improvement tools for lean…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Chiwoo Park , Sang Do Noh , Anuj Srivastava

We study a model problem describing vibrational resonance by means of a high-order averaging technique based on so-called word series. With the tech- nique applied here, the tasks of constructing the averaged system and the associ- ated…

Dynamical Systems · Mathematics 2016-04-06 Ander Murua , J. M. Sanz-Serna

Data analysis in modern science using extensive experimental and observational facilities, such as a gravitational wave detector, is essential in the search for novel scientific discoveries. Accordingly, various techniques and mathematical…

Instrumentation and Methods for Astrophysics · Physics 2022-06-14 Piljong Jung , Sang Hoon Oh , Young-Min Kim , Edwin J. Son , John J. Oh

This paper is a contribution in the context of variational data assimilation combined with statistical learning. The framework of data assimilation traditionally uses data collected at sensor locations in order to bring corrections to a…

Numerical Analysis · Mathematics 2023-05-09 Amina Benaceur , Barbara Verfürth

Small vibrations observed in video can unveil information beyond what is visual, such as sound and material properties. It is possible to passively record these vibrations when they are visually perceptible, or actively amplify their visual…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Mingxuan Cai , Dekel Galor , Amit Pal Singh Kohli , Jacob L. Yates , Laura Waller

Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the…

Applications · Statistics 2025-01-31 Banafsheh Lashkari , Shojaeddin Chenouri

Real-time, low-cost, and wireless mechanical vibration monitoring is necessary for industrial applications to track the operation status of equipment, environmental applications to proactively predict natural disasters, as well as…

Applied Physics · Physics 2023-05-19 Dajun Zhang , Akhil Polamarasetty , Muhammad Osama Shahid , Bhuvana Krishnaswamy , Chu Ma

This work was developed aiming to employ Statistical techniques to the field of Music Emotion Recognition, a well-recognized area within the Signal Processing world, but hardly explored from the statistical point of view. Here, we opened…

Machine Learning · Statistics 2021-07-13 Nathalie Deziderio , Hugo Tremonte de Carvalho

In this paper artificial neural networks and support vector machines are used to reduce the amount of vibration data that is required to estimate the Time Domain Average of a gear vibration signal. Two models for estimating the time domain…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 L. Mdlazi , C. J. Stander , P. S. Heyns , T. Marwala

Vibrating wire alignment technique is a kind of method which through measuring the spatial distribution of magnetic field to do the alignment and it can achieve very high alignment accuracy. Vibrating wire alignment technique can be applied…

Accelerator Physics · Physics 2013-09-27 Wang Xiao-Long , Dong lan , Wu lei , Li Chun-Hua

The actions of cut applied to the elastic system generate relative tool/part displacements, which induce a temperature increasing in the components of the machine tools, its environment, the system-tools-part and generate vibrations. The…

Classical Physics · Physics 2009-09-29 Constantin Ispas , Claudiu-Florinel Bisu , Alain Gérard , Doru Bardac

In this article we study the problem of quantifying the uncertainty in an experiment with a technical system. We propose new density estimates which combine observed data of the technical system and simulated data from an (imperfect)…

Statistics Theory · Mathematics 2020-12-21 Sebastian Kersting , Michael Kohler

Nowadays it is inevitable to use intelligent systems to improve the performance and optimization of different components of devices or factories. Furthermore, it's so essential to have appropriate predictions to make better decisions in…

Artificial Intelligence · Computer Science 2021-01-01 Ashkan Yousefi Zadeh , Meysam Shahbazy

Rolling bearing fault diagnosis has garnered increased attention in recent years owing to its presence in rotating machinery across various industries, and an ever increasing demand for efficient operations. Prompt detection and accurate…

Automatic sensor-based detection of motor failures such as bearing faults is crucial for predictive maintenance in various industries. Numerous methodologies have been developed over the years to detect bearing faults. Despite the…

The utility of machine learning in understanding the motor system is promising a revolution in how to collect, measure, and analyze data. The field of movement science already elegantly incorporates theory and engineering principles to…

Quantitative Methods · Quantitative Biology 2021-09-16 Sébastien B. Hausmann , Alessandro Marin Vargas , Alexander Mathis , Mackenzie W. Mathis

Inertial motion analysis is having a growing interest during the last decades due to its advantages over classical optical systems. The technological solution based on inertial measurement units allows the measurement of movements in daily…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Sara García-de-Villa , David Casillas-Pérez , Ana Jiménez-Martín , Juan Jesús García-Domínguez

A growing number of wind turbines are equipped with vibration measurement systems to enable a close monitoring and early detection of developing fault conditions. The vibration measurements are analyzed to continuously assess the component…

Machine Learning · Computer Science 2022-02-17 Angela Meyer

Granular jamming is a popular soft robotics technology that has seen recent widespread applications including industrial gripping, surgical robotics and haptics. However, to date the field has not fully exploited the fundamental science of…

Soft Condensed Matter · Physics 2021-09-23 Raghav Mishra , Tyson Philips , Gary W. Delaney , David Howard