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We present a new approach for estimating parameters in rational ODE models from given (measured) time series data. In typical existing approaches, an initial guess for the parameter values is made from a given search interval. Then, in a…

Mathematical Software · Computer Science 2023-12-19 Oren Bassik , Yosef Berman , Soo Go , Hoon Hong , Ilia Ilmer , Alexey Ovchinnikov , Chris Rackauckas , Pedro Soto , Chee Yap

Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consists of two primary steps: (i) Bayesian calibration of the…

Numerical Analysis · Mathematics 2025-10-09 Joseph Hart , Bart van Bloemen Waanders , Jixian Li , Timbwaoga A. J. Ouermi , Chris R. Johnson

Certain forms of uncertainty that robotic systems encounter can be explicitly learned within the context of a known model, like parametric model uncertainties such as mass and moments of inertia. Quantifying such parametric uncertainty is…

Robotics · Computer Science 2022-03-04 Keenan Albee , Monica Ekal , Brian Coltin , Rodrigo Ventura , Richard Linares , David W. Miller

In the field of deep learning based computer vision, the development of deep object detection has led to unique paradigms (e.g., two-stage or set-based) and architectures (e.g., Faster-RCNN or DETR) which enable outstanding performance on…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Denis Huseljic , Marek Herde , Mehmet Muejde , Bernhard Sick

The accuracy of orbit determination has a strong impact on the scientific output of the Space VLBI mission RadioAstron. The aim of this work is to improve the RadioAstron orbit reconstruction by means of sophisticated dynamical modelling of…

Neural networks have proven successful at learning from complex data distributions by acting as universal function approximators. However, they are often overconfident in their predictions, which leads to inaccurate and miscalibrated…

Machine Learning · Computer Science 2021-02-23 Jeffrey Willette , Juho Lee , Sung Ju Hwang

Safely deploying robots in uncertain and dynamic environments requires a systematic accounting of various risks, both within and across layers in an autonomy stack from perception to motion planning and control. Many widely used motion…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Venkatraman Renganathan , Iman Shames , Tyler H. Summers

Deep learning provides a powerful tool for machine perception when the observations resemble the training data. However, real-world robotic systems must react intelligently to their observations even in unexpected circumstances. This…

Machine Learning · Computer Science 2018-12-31 Rowan McAllister , Gregory Kahn , Jeff Clune , Sergey Levine

The study of multiple extrasolar planetary systems has the opportunity to obtain constraints for the planetary masses and orbital inclinations via the detection of mutual perturbations. The analysis of precise radial velocity measurements…

Earth and Planetary Astrophysics · Physics 2015-05-19 András Pál

The vast majority of existing Distributed Computing literature about mobile robotic swarms considers computability issues: characterizing the set of system hypotheses that enables problem solvability. By contrast, the focus of this work is…

Computational Geometry · Computer Science 2021-05-21 Adam Heriban , Sébastien Tixeuil

Machine learning (ML) systems are increasingly deployed in high-stakes domains where reliability is paramount. This thesis investigates how uncertainty estimation can enhance the safety and trustworthiness of ML, focusing on selective…

Machine Learning · Computer Science 2025-09-09 Stephan Rabanser

Ballistic capture orbits offer safer Mars injection at longer transfer time. However, the search for such an extremely rare event is a computationally intensive process. Indeed, it requires the propagation of a grid sampling the whole…

Dynamical Systems · Mathematics 2023-08-22 Thomas Caleb , Gianmario Merisio , Pierluigi Di Lizia , Francesco Topputo

This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

Methodology · Statistics 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

Fast and precise propagation of satellite orbits is required for mission design, orbit determination in support of operations and payload data analysis. This demand must also comply with the different accuracy requirements set by a growing…

Earth and Planetary Astrophysics · Physics 2020-07-07 Elena Fantinoa , Roberto Flores , Amna Adheem

In this paper, we consider black-box multiobjective optimization problems in which all objective functions are not given analytically. In multiobjective optimization, it is important to produce a set of uniformly distributed discrete…

Optimization and Control · Mathematics 2022-02-11 Kwang-Hui Ju , Ju-Song Kim

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

Astrophysics · Physics 2009-10-31 G. Bernstein , B. Khushalani

Multimodal foundation models offer promising advancements for enhancing driving perception systems, but their high computational and financial costs pose challenges. We develop a method that leverages foundation models to refine predictions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Yunhao Yang , Yuxin Hu , Mao Ye , Zaiwei Zhang , Zhichao Lu , Yi Xu , Ufuk Topcu , Ben Snyder

In machine learning, accurately predicting the probability that a specific input is correct is crucial for risk management. This process, known as uncertainty (or confidence) estimation, is particularly important in mission-critical…

Machine Learning · Computer Science 2023-01-12 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

Neural networks (NNs) are now routinely implemented on systems that must operate in uncertain environments, but the tools for formally analyzing how this uncertainty propagates to NN outputs are not yet commonplace. Computing tight bounds…

Machine Learning · Computer Science 2020-12-08 Michael Everett , Golnaz Habibi , Jonathan P. How

Fast and precise propagation of satellite orbits is required for mission design, orbit determination and payload data analysis. We present a method to improve the computational performance of numerical propagators and simultaneously…

Earth and Planetary Astrophysics · Physics 2021-04-06 Roberto Flores , Burhani Makame Burhani , Elena Fantino