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In this paper, we address the risk estimation problem where one aims at estimating the probability of violation of safety constraints for a robot in the presence of bounded uncertainties with arbitrary probability distributions. In this…

Optimization and Control · Mathematics 2018-10-04 Ashkan Jasour , Andreas Hofmann , Brian C. Williams

Control systems often need to satisfy strict safety requirements. Safety index provides a handy way to evaluate the safety level of the system and derive the resulting safe control policies. However, designing safety index functions under…

Robotics · Computer Science 2023-10-05 Weiye Zhao , Tairan He , Tianhao Wei , Simin Liu , Changliu Liu

Safety guarantee is essential in many engineering implementations. Reinforcement learning provides a useful way to strengthen safety. However, reinforcement learning algorithms cannot completely guarantee safety over realistic operations.…

Systems and Control · Electrical Eng. & Systems 2022-07-01 Hejun Huang , Zhenglong Li , Dongkun Han

Recently, industrial robots plays a significant role in intelligent manufacturing. Hence, it is an urgent issue to ensure the robot with the high positioning precision. To address this hot issue, a novel calibration method based on an…

Robotics · Computer Science 2022-04-14 Zhibin Li , Shuai Li , Xin Luo

We revisit the problem of estimating the mean of a high-dimensional distribution in the presence of an $\varepsilon$-fraction of adversarial outliers. When $\varepsilon$ is at most some sufficiently small constant, previous works can…

Data Structures and Algorithms · Computer Science 2024-11-22 Hongjie Chen , Deepak Narayanan Sridharan , David Steurer

Estimation is the computational task of recovering a hidden parameter $x$ associated with a distribution $D_x$, given a measurement $y$ sampled from the distribution. High dimensional estimation problems arise naturally in statistics,…

Data Structures and Algorithms · Computer Science 2019-08-07 Prasad Raghavendra , Tselil Schramm , David Steurer

Active fault tolerance is essential for robot swarms to retain long-term autonomy. Previous work on swarm fault tolerance focuses on reacting to electro-mechanical faults that are spontaneously injected into robot sensors and actuators.…

Robotics · Computer Science 2024-10-28 James O'Keeffe , Alan Gregory Millard

Inverse kinematics is a fundamental problem for articulated robots: fast and accurate algorithms are needed for translating task-related workspace constraints and goals into feasible joint configurations. In general, inverse kinematics for…

Robotics · Computer Science 2020-10-30 Filip Maric , Matthew Giamou , Soroush Khoubyarian , Ivan Petrovic , Jonathan Kelly

We study the problem of high-dimensional sparse mean estimation in the presence of an $\epsilon$-fraction of adversarial outliers. Prior work obtained sample and computationally efficient algorithms for this task for identity-covariance…

Data Structures and Algorithms · Computer Science 2024-07-08 Ilias Diakonikolas , Daniel M. Kane , Sushrut Karmalkar , Ankit Pensia , Thanasis Pittas

Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple…

Optimization and Control · Mathematics 2025-11-25 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Estimating unknown rotations from noisy measurements is an important step in SfM and other 3D vision tasks. Typically, local optimization methods susceptible to returning suboptimal local minima are used to solve the rotation averaging…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Matthew Giamou , Filip Maric , Valentin Peretroukhin , Jonathan Kelly

An active approach to fault tolerance is essential for robot swarms to achieve long-term autonomy. Previous efforts have focused on responding to spontaneous electro-mechanical faults and failures. However, many faults occur gradually over…

Robotics · Computer Science 2025-10-10 James O'Keeffe

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

Distributed estimation in the context of sensor networks is considered, where distributed agents are given a set of sensor measurements, and are tasked with estimating a target variable. A subset of sensors are assumed to be faulty. The…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Marian Temprana Alonso , Farhad Shirani , S. Sitharama Iyengar

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

Quantum Physics · Physics 2009-11-07 C. D'Helon , V. Protopopescu

Optimizing over the cone of nonnegative polynomials, and its dual counterpart, optimizing over the space of moments that admit a representing measure, are fundamental problems that appear in many different applications from engineering and…

Optimization and Control · Mathematics 2019-06-20 Georgina Hall

In advanced manufacturing, strict safety guarantees are required to allow humans and robots to work together in a shared workspace. One of the challenges in this application field is the variety and unpredictability of human behavior,…

Robotics · Computer Science 2023-08-22 Dianhao Zhang , Mien Van , Stephen Mcllvanna , Yuzhu Sun , Seán McLoone

The advancement of simulation-assisted robot programming, automation of high-tolerance assembly operations, and improvement of real-world performance engender a need for positionally accurate robots. Despite tight machining tolerances, good…

Robotics · Computer Science 2019-08-21 Karl Van Wyk , Joe Falco , Geraldine Cheok

Motivated by the need to simultaneously guarantee safety and stability of safety-critical dynamical systems, we construct permissive barrier certificates in this paper that explicitly maximize the region where the system can be stabilized…

Optimization and Control · Mathematics 2018-02-27 Li Wang , Dongkun Han , Magnus Egerstedt

An algorithm is proposed for solving stochastic and finite sum minimization problems. Based on a trust region methodology, the algorithm employs normalized steps, at least as long as the norms of the stochastic gradient estimates are within…

Optimization and Control · Mathematics 2018-06-27 Frank E. Curtis , Katya Scheinberg , Rui Shi
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