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Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

Machine Learning · Computer Science 2024-05-09 Andrew Thompson

The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data,…

Numerical Analysis · Mathematics 2020-02-11 Toby Sanders , Rodrigo B. Platte , Robert D. Skeel

Selecting the best regularization parameter in inverse problems is a classical and yet challenging problem. Recently, data-driven approaches have become popular to tackle this challenge. These approaches are appealing since they do require…

Statistics Theory · Mathematics 2025-10-22 Jonathan Chirinos Rodriguez , Ernesto De Vito , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

This tutorial presents a control-oriented introduction to aided inertial navigation systems using a Lie-group formulation centered on the extended Special Euclidean group SE_2(3). The focus is on developing a clear and…

Robotics · Computer Science 2026-03-10 Soulaimane Berkane

We propose an algorithm to select parameter subset combinations that can be estimated using an ordinary least-squares (OLS) inverse problem formulation with a given data set. First, the algorithm selects the parameter combinations that…

Methodology · Statistics 2020-04-16 Ariel Cintrón-Arias , H. T. Banks , Alex Capaldi , Alun L. Lloyd

Autonomous underwater vehicles (AUV) are commonly used in many underwater applications. Usually, inertial sensors and Doppler velocity log readings are used in a nonlinear filter to estimate the AUV navigation solution. The process noise…

Robotics · Computer Science 2024-10-28 Barak Or , Itzik Klein

Gyroscopes are crucial for accurate angular velocity measurements in navigation, stabilization, and control systems. MEMS gyroscopes offer advantages like compact size and low cost but suffer from errors and inaccuracies that are complex…

Machine Learning · Computer Science 2024-10-11 Yaoyao Long , Zhenming Liu , Cong Hao , Farrokh Ayazi

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

Rapid advancements over the years have helped machine learning models reach previously hard-to-achieve goals, sometimes even exceeding human capabilities. However, to attain the desired accuracy, the model sizes and in turn their…

Machine Learning · Computer Science 2023-10-31 Bodun Hu , Le Xu , Jeongyoon Moon , Neeraja J. Yadwadkar , Aditya Akella

Inertial sensors are crucial for recognizing pedestrian activity. Recent advances in deep learning have greatly improved inertial sensing performance and robustness. Different domains and platforms use deep-learning techniques to enhance…

Machine Learning · Computer Science 2025-12-16 Zeev Yampolsky , Ofir Kruzel , Victoria Khalfin Fekson , Itzik Klein

The task of indoor positioning is fundamental to several applications, including navigation, healthcare, location-based services, and security. An emerging field is inertial navigation for pedestrians, which relies only on inertial sensors…

Robotics · Computer Science 2025-01-28 Itzik Klein

Inertial-aided systems require continuous motion excitation among other reasons to characterize the measurement biases that will enable accurate integration required for localization frameworks. This paper proposes the use of informative…

Robotics · Computer Science 2022-09-13 Mitchell Usayiwevu , Fouad Sukkar , Chanyeol Yoo , Robert Fitch , Teresa Vidal-Calleja

This paper reviews the current status and challenges of Neural Networks (NNs) based machine learning approaches for modern power grid stability control including their design and implementation methodologies. NNs are widely accepted as…

Systems and Control · Computer Science 2017-01-06 Reza Yousefian , Sukumar Kamalasadan

This paper deals with the problem of full state estimation for vehicles navigating in a three dimensional space. We assume that the vehicle is equipped with an Inertial Measurement Unit (IMU) providing body-frame measurements of the angular…

Optimization and Control · Mathematics 2021-02-01 Soulaimane Berkane , Abdelhamid Tayebi , Simone de Marco

Extreme precision radial velocity (EPRV) surveys usually require extensive observational baselines to confirm planetary candidates, making them resource-intensive. Traditionally, periodograms are used to identify promising candidate signals…

Earth and Planetary Astrophysics · Physics 2025-10-09 Anoop Gavankar , Tanish Mittal , Joe Ninan , Shravan Hanasoge

Inertial navigation computation is to acquire the attitude, velocity and position information of a moving body by integrating inertial measurements from gyroscopes and accelerometers. Over half a century has witnessed great efforts in…

Robotics · Computer Science 2021-09-21 Yuanxin Wu

Correcting gradual position drift is a challenge in long-term subsea navigation. Though highly accurate, modern inertial navigation system (INS) estimates will drift over time due to the accumulated effects of sensor noise and biases, even…

Robotics · Computer Science 2023-07-12 Amro Al-Baali , Thomas Hitchcox , James Richard Forbes

Inverse problems are often ill-posed and require optimization schemes with strong stability and convergence guarantees. While learning-based approaches such as deep unrolling and meta-learning achieve strong empirical performance, they…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Le Minh Triet Tran , Sarah Reynaud , Ronan Fablet , Adrien Merlini , François Rousseau , Mai Quyen Pham

In this work we deal with parametric inverse problems, which consist in recovering a finite number of parameters describing the structure of an unknown object, from indirect measurements. State-of-the-art methods for approximating a…

Numerical Analysis · Mathematics 2021-12-22 Paolo Massa , Sara Garbarino , Federico Benvenuto

Many pulsar folding algorithms are currently deployed to generate strong SNRs for the total intensity profiles. But they require large observation times to improve the SNR effectively. New approaches to de-noise the pulsar total intensity…

High Energy Astrophysical Phenomena · Physics 2021-08-03 Amitesh Singh , Kamlesh N Pathak
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