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This study presents a weakly supervised method for identifying faults in infrared images of substation equipment. It utilizes the Faster RCNN model for equipment identification, enhancing detection accuracy through modifications to the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Anjali Sharma , Priya Banerjee , Nikhil Singh

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

In this work, we derive a $\gamma$-robust a posteriori error estimator for finite element approximations of the Allen-Cahn equation with variable non-degenerate mobility. The estimator utilizes spectral estimates for the linearized steady…

Numerical Analysis · Mathematics 2024-03-15 Aaron Brunk , Jan Giesselmann , Maria Lukacova-Medvidova

We introduce a Bayesian system identification (SysID) framework for jointly estimating robot's state trajectories and physical parameters with high accuracy. It embeds physically consistent inverse dynamics, contact and loop-closure…

Robotics · Computer Science 2026-02-19 Sergi Martinez , Steve Tonneau , Carlos Mastalli

This paper introduces an algorithmic approach to the analysis of Jacobi stability of systems of second order ordinary differential equations (ODEs) via the Kosambi--Cartan--Chern (KCC) theory. We develop an efficient symbolic program using…

Symbolic Computation · Computer Science 2025-04-29 Christian G. Böhmer , Bo Huang , Dongming Wang , Xinyu Wang

This paper presents a new approach to the detection of discontinuities in the n-th derivative of observational data. This is achieved by performing two polynomial approximations at each interstitial point. The polynomials are coupled by…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Dimitar Ninevski , Paul O'Leary

A new approach is introduced to classify faults in rotating machinery based on the total energy signature estimated from sensor measurements. The overall goal is to go beyond using black-box models and incorporate additional physical…

Machine Learning · Computer Science 2023-01-09 Jeremy Shen , Jawad Chowdhury , Sourav Banerjee , Gabriel Terejanu

In this paper we consider the numerical solution of fractional differential equations. In particular, we study a step-by-step graded mesh procedure based on an expansion of the vector field using orthonormal Jacobi polynomials. Under mild…

Numerical Analysis · Mathematics 2024-04-09 L. Brugnano , K. Burrage , P. Burrage , F. Iavernaro

Bearing fault diagnosis has been a challenge in the monitoring activities of rotating machinery, and it's receiving more and more attention. The conventional fault diagnosis methods usually extract features from the waveforms or spectrums…

Computer Vision and Pattern Recognition · Computer Science 2016-02-05 Wei Li , Mingquan Qiu , Zhencai Zhu , Bo Wu , Gongbo Zhou

This paper leverages recent advances in high derivatives reconstruction from noisy-time series and sparse multivariate polynomial identification in order to improve the process of parsimoniously identifying, from a small amount of data,…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Mazen Alamir

This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike…

We present a spectral method for one-sided linear fractional integral equations on a closed interval that achieves exponentially fast convergence for a variety of equations, including ones with irrational order, multiple fractional orders,…

Numerical Analysis · Mathematics 2024-04-10 Tianyi Pu , Marco Fasondini

In this paper we present a novel algorithm to solve the robot kinematic structure identification problem. Given a time series of data, typically obtained processing a set of visual observations, the proposed approach identifies the ordered…

Robotics · Computer Science 2019-03-12 Alberto Dalla Libera , Matteo Terzi , Alessandro Rossi , Gian Antonio Susto , Ruggero Carli

Cooperative robots can significantly assist people in their productive activities, improving the quality of their works. Collision detection is vital to ensure the safe and stable operation of cooperative robots in productive activities. As…

Robotics · Computer Science 2023-12-11 Yingjie Wu , Guohui Wang , Shanyan Chen , Zhiping Shi , Yong Guan , Ximeng Li

Primary importance is devoted to Fault Detection and Diagnosis (FDI) of electrical machine and drive systems in modern industrial automation. The widespread use of Machine Learning techniques has made it possible to replace traditional…

Machine Learning · Computer Science 2019-08-06 Adrienn Dineva , Amir Mosavi , Mate Gyimesi , Istvan Vajda

The goal of diagnosis is to compute good repair strategies in response to anomalous system behavior. In a decision theoretic framework, a good repair strategy has low expected cost. In a general formulation of the problem, the computation…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas

We present algebraic techniques to analyze state space models in the areas of structural identifiability, observability, and indistinguishability. While the emphasis is on surveying existing algebraic tools for studying ODE systems, we also…

Optimization and Control · Mathematics 2016-09-27 Nicolette Meshkat , Zvi Rosen , Seth Sullivant

Localization of unknown faults in industrial systems is a difficult task for data-driven diagnosis methods. The classification performance of many machine learning methods relies on the quality of training data. Unknown faults, for example…

Signal Processing · Electrical Eng. & Systems 2019-10-15 Daniel Jung

In the domain of rotating machinery, bearings are vulnerable to different mechanical faults, including ball, inner, and outer race faults. Various techniques can be used in condition-based monitoring, from classical signal analysis to deep…

Machine Learning · Statistics 2024-07-26 Victoria Jorry , Zina-Sabrina Duma , Tuomas Sihvonen , Satu-Pia Reinikainen , Lassi Roininen

We describe a suite of fast algorithms for evaluating Jacobi polynomials, applying the corresponding discrete Sturm-Liouville eigentransforms and calculating Gauss-Jacobi quadrature rules. Our approach is based on the well-known fact that…

Numerical Analysis · Mathematics 2018-03-13 James Bremer , Haizhao Yang