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Datasets collected from the open world unavoidably suffer from various forms of randomness or noiseness, leading to the ubiquity of aleatoric (data) uncertainty. Quantifying such uncertainty is particularly pivotal for object detection,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Peng Cui , Guande He , Dan Zhang , Zhijie Deng , Yinpeng Dong , Jun Zhu

This paper studies the local observability of synchronous machines using a unified approach. Recently, motion sensorless control of electrical drives has gained high interest. The main challenge for such a technology is the poor performance…

Optimization and Control · Mathematics 2015-12-14 Mohamad Koteich , Abdelmalek Maloum , Gilles Duc , Guillaume Sandou

The design of a globally convergent position observer for feature points from visual information is a challenging problem, especially for the case with only inertial measurements and without assumptions of uniform observability, which…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Bowen Yi , Chi Jin , Ian R. Manchester

The inconsistency issue in the Visual-Inertial Navigation System (VINS) is a long-standing and fundamental challenge. While existing studies primarily attribute the inconsistency to observability mismatch, these analyses are often based on…

Robotics · Computer Science 2025-11-25 Chungeng Tian , Fenghua He , Ning Hao

Inference of three-dimensional motion from the fusion of inertial and visual sensory data has to contend with the preponderance of outliers in the latter. Robust filtering deals with the joint inference and classification task of selecting…

Robotics · Computer Science 2014-12-17 Konstantine Tsotsos , Alessandro Chiuso , Stefano Soatto

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2022-03-31 Agostino Martinelli

Constant biases associated to measured linear and angular velocities of a moving object can be estimated from measurements of a static scene by embedded brightness and depth sensors. We propose here a Lyapunov-based observer taking…

Optimization and Control · Mathematics 2013-09-10 Nadege Zarrouati-Vissiere , Karine Beauchard , Pierre Rouchon

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

Sensor visibility is crucial for safety-critical applications in automotive, robotics, smart infrastructure and others: In addition to object detection and occupancy mapping, visibility describes where a sensor can potentially measure or is…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Joachim Börger , Marc Patrick Zapf , Marat Kopytjuk , Xinrun Li 2 , Claudius Gläser

The uncertainty quantification of sensor measurements coupled with deep learning networks is crucial for many robotics systems, especially for safety-critical applications such as self-driving cars. This paper develops an uncertainty…

Robotics · Computer Science 2025-06-23 Qiyuan Wu , Mark Campbell

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

Optimization and Control · Mathematics 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2024-09-11 Agostino Martinelli

This paper introduces mathematical models of \sensors\ for mobile robots based on visibility. Serving a purpose similar to the pinhole camera model for computer vision, the introduced models are expected to provide a useful, idealized…

Robotics · Computer Science 2023-01-24 Kshitij Tiwari , Basak Sakcak , Prasanna Routray , Manivannan M. , Steven M. LaValle

In empirical studies, the data usually don't include all the variables of interest in an economic model. This paper shows the identification of unobserved variables in observations at the population level. When the observables are distinct…

Econometrics · Economics 2022-12-07 Yingyao Hu

Machine learning (ML) and deep learning models are extensively used for parameter optimization and regression problems. However, not all inverse problems in ML are ``identifiable,'' indicating that model parameters may not be uniquely…

Machine Learning · Computer Science 2023-07-24 Reza Sameni

This paper considers the problem of visual-inertial sensor fusion in the cooperative case and it provides new theoretical contributions, which regard its observability and its resolvability in closed form. The case of two agents is…

Robotics · Computer Science 2018-02-26 Agostino Martinelli

Using mathematical models to assist in the interpretation of experiments is becoming increasingly important in research across applied mathematics, and in particular in biology and ecology. In this context, accurate parameter estimation is…

Statistics Theory · Mathematics 2025-04-29 Jie Qi , Ruth E. Baker

Nonlinear systems of affine control inputs overarch many sensor fusion instances. Analyzing whether a state variable in such a nonlinear system can be estimated (i.e., observability) informs better estimator design. Among the research on…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Jianzhu Huai , Yukai Lin , Yujia Zhang

In this paper, we perform a thorough observability analysis for linearized inertial navigation systems (INS) aided by exteroceptive range and/or bearing sensors (such as cameras, LiDAR and sonars) with different geometric features (points,…

Optimization and Control · Mathematics 2018-05-16 Yulin Yang , Guoquan Huang
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