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Inspired by the concept of network algebraic connectivity, we adopt an extended notion named rigidity preservation index to characterize the rigidity property for a formation framework. A gradient based controller is proposed to ensure the…

Optimization and Control · Mathematics 2013-09-20 Zhiyong Sun , Changbin Yu , Brian D. O. Anderson

Data used to train machine learning models can be adversarial--maliciously constructed by adversaries to fool the model. Challenge also arises by privacy, confidentiality, or due to legal constraints when data are geographically gathered…

Machine Learning · Computer Science 2020-07-09 Alireza Sadeghi , Gang Wang , Meng Ma , Georgios B. Giannakis

We present a novel two-view geometry estimation framework which is based on a differentiable robust loss function fitting. We propose to treat the robust fundamental matrix estimation as an implicit layer, which allows us to avoid…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Vladislav Pyatov , Iaroslav Koshelev , Stamatis Lefkimmiatis

We improve the algorithm to noninvasively update the response matrix using information from the orbit-feedback system, described in [1]. The new version is capable of adapting to slow changes of the lattice, albeit at the expense of…

Accelerator Physics · Physics 2023-03-21 Volker Ziemann

Autonomous exploration in unknown environments remains a fundamental challenge in robotics, particularly for applications such as search and rescue, industrial inspection, and planetary exploration. Multi-robot active SLAM presents a…

We present parton distribution functions which include a quantitative estimate of its uncertainties. The parton distribution functions are optimized with respect to deep inelastic proton data, expressing the uncertainties as a density…

High Energy Physics - Phenomenology · Physics 2007-05-23 Walter T. Giele , Stephane A. Keller , David A. Kosower

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

To address the shortcomings of real-world datasets, robust learning algorithms have been designed to overcome arbitrary and indiscriminate data corruption. However, practical processes of gathering data may lead to patterns of data…

Machine Learning · Computer Science 2024-05-02 Lunjia Hu , Charlotte Peale , Judy Hanwen Shen

We develop a new and general encode-approximate-reconstruct operator learning model that leverages learned neural representations of bases for input and output function distributions. We introduce the concepts of \textit{numerical operator…

Machine Learning · Computer Science 2025-07-11 Jacob Hauck , Yanzhi Zhang

Uncertainty in LiDAR measurements, stemming from factors such as range sensing, is crucial for LIO (LiDAR-Inertial Odometry) systems as it affects the accurate weighting in the loss function. While recent LIO systems address uncertainty…

Robotics · Computer Science 2024-08-06 Kai Huang , Junqiao Zhao , Jiaye Lin , Zhongyang Zhu , Shuangfu Song , Chen Ye , Tiantian Feng

We consider the robust multi-dimensional scaling (RMDS) problem in this paper. The goal is to localize point locations from pairwise distances that may be corrupted by outliers. Inspired by classic MDS theories, and nonconvex works for the…

Machine Learning · Statistics 2025-01-07 Tong Deng , Tianming Wang

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

Neural and Evolutionary Computing · Computer Science 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

The knowledge of the orbit or the ephemeris uncertainty of asteroid presents a particular interest for various purposes. These quantities are for instance useful for recovering asteroids, for identifying lost asteroids or for planning…

Earth and Planetary Astrophysics · Physics 2015-06-15 Josselin Desmars , David Bancelin , Daniel Hestroffer , William Thuillot

We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations. The hierarchy of models is defined as trajectories computed using different timesteps in a time…

Numerical Analysis · Mathematics 2018-08-13 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

We present and experimentally implement a real-time protocol for calibrating the frequency of a resonantly driven qubit, achieving exponential scaling in calibration precision with the number of measurements, up to the limit imposed by…

Estimating uncertainty in deep learning models is critical for reliable decision-making in high-stakes applications such as medical imaging. Prior research has established that the difference between an input sample and its reconstructed…

Machine Learning · Computer Science 2026-01-28 Xinran Xu , Li Rong Wang , Xiuyi Fan

We present a reusable, open-source software implementation of the second-order trust region algorithm in the new OpenTrustRegion library. We apply the implementation to the general-purpose optimization of molecular orbitals in various…

Chemical Physics · Physics 2025-12-10 Jonas Greiner , Ida-Marie Høyvik , Susi Lehtola , Janus J. Eriksen

One of the fundamental limiting factors in planetary exploration is the autonomous capabilities of planetary exploration rovers. This study proposes a novel methodology for trustworthy autonomous multi-robot teams which incorporates data…

Robotics · Computer Science 2024-10-24 Sarah Swinton , Jan-Hendrik Ewers , Euan McGookin , David Anderson , Douglas Thomson

This paper presents a motion planning and risk analysis framework for enhancing human-robot collaboration with a Multi-Rotor Aerial Vehicle. The proposed method employs Signal Temporal Logic to encode key mission objectives, including…

Robotics · Computer Science 2026-05-13 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi
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