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In this paper, we propose a distributed algorithm for solving large-scale separable convex problems using Lagrangian dual decomposition and the interior-point framework. By adding self-concordant barrier terms to the ordinary Lagrangian, we…

最优化与控制 · 数学 2013-02-14 I. Necoara , J. A. K. Suykens

We investigate a Linear-Quadratic-Gaussian (LQG) control and sensing co-design problem, where one jointly designs sensing and control policies. We focus on the realistic case where the sensing design is selected among a finite set of…

最优化与控制 · 数学 2020-05-20 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

Sensor-based environmental perception is a crucial step for autonomous driving systems, for which an accurate calibration between multiple sensors plays a critical role. For the calibration of LiDAR and camera, the existing method is…

机器人学 · 计算机科学 2023-02-27 Guohang Yan , Feiyu He , Chunlei Shi , Xinyu Cai , Yikang Li

In the context of robotics, accurate ground-truth positioning is the cornerstone for the development of mapping and localization algorithms. In outdoor environments and over long distances, total stations provide accurate and precise…

In recent years, semidefinite relaxations of common optimization problems in robotics have attracted growing attention due to their ability to provide globally optimal solutions. In many cases, it was shown that specific handcrafted…

机器人学 · 计算机科学 2024-10-03 Frederike Dümbgen , Connor Holmes , Ben Agro , Timothy D. Barfoot

Accurate extrinsic calibration between LiDAR and camera sensors is important for reliable perception in autonomous systems. In this paper, we present a novel multi-objective optimization framework that jointly minimizes the geometric…

机器人学 · 计算机科学 2025-06-26 Venkat Karramreddy , Rangarajan Ramanujam

We present a method of extrinsic calibration for a system of multiple inertial measurement units (IMUs) that estimates the relative pose of each IMU on a rigid body using only measurements from the IMUs themselves, without the need to…

机器人学 · 计算机科学 2022-05-31 Jongwon Lee , David Hanley , Timothy Bretl

This paper proposes an automatic controller tuning framework based on linear optimal control combined with Bayesian optimization. With this framework, an initial set of controller gains is automatically improved according to a pre-defined…

机器人学 · 计算机科学 2017-09-21 Alonso Marco , Philipp Hennig , Jeannette Bohg , Stefan Schaal , Sebastian Trimpe

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent…

计算机视觉与模式识别 · 计算机科学 2017-05-30 Kosuke Takahashi , Akihiro Miyata , Shohei Nobuhara , Takashi Matsuyama

In this paper, we concentrate on a particular category of quadratically constrained quadratic programming (QCQP): nonconvex QCQP with one equality constraint. This type of QCQP problem optimizes a quadratic objective under a fixed…

最优化与控制 · 数学 2025-06-05 Licheng Zhao , Rui Zhou , Wenqiang Pu

Flying robots such as the quadrotor could provide an efficient approach for medical treatment or sensor placing of wild animals. In these applications, continuously targeting the moving animal is a crucial requirement. Due to the…

机器人学 · 计算机科学 2024-04-16 Ziying Lin , Wei Dong , Sensen Liu , Xinjun Sheng , Xiangyang Zhu

When computing bounds, spatial branch-and-bound algorithms often linearly outer approximate convex relaxations for non-convex expressions in order to capitalize on the efficiency and robustness of linear programming solvers. Considering…

We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial…

最优化与控制 · 数学 2024-04-04 Christoph Buchheim , Alexandra Grütering , Christian Meyer

We study entropy-regularized constrained Markov decision processes (CMDPs) under the soft-max parameterization, in which an agent aims to maximize the entropy-regularized value function while satisfying constraints on the expected total…

机器学习 · 计算机科学 2023-04-10 Donghao Ying , Yuhao Ding , Javad Lavaei

For optimization problems with nonlinear constraints, linearly constrained Lagrangian (LCL) methods sequentially minimize a Lagrangian function subject to linearized constraints. These methods converge rapidly near a solution but may not be…

最优化与控制 · 数学 2007-05-23 Michael P. Friedlander , Michael A Saunders

This paper presents a method for extrinsic camera calibration (estimation of camera rotation and translation matrices) from a sequence of images. It is assumed camera intrinsic matrix and distortion coefficients are known and fixed during…

计算机视觉与模式识别 · 计算机科学 2018-10-01 Jacek Komorowski , Przemyslaw Rokita

Finding relative pose between two calibrated images is a fundamental task in computer vision. Given five point correspondences, the classical five-point methods can be used to calculate the essential matrix efficiently. For the case of $N$…

计算机视觉与模式识别 · 计算机科学 2020-12-23 Ji Zhao

Precise collaboration in vision-based dual-arm robot systems requires accurate system calibration. Recent dual-robot calibration methods have achieved strong performance by simultaneously solving multiple coordinate transformations.…

机器人学 · 计算机科学 2026-03-17 Tianyu Huang , Bohan Yang , Bin Li , Wenpan Li , Haoang Li , Wenlong Li , Yun-Hui Liu

We study the equivalence of several well-known sufficient optimality conditions for a general quadratically constrained quadratic program (QCQP). The conditions are classified in two categories. The first one is for determining an optimal…

最优化与控制 · 数学 2023-03-14 Sunyoung Kim , Masakazu Kojima

Calibrating robots into their workspaces is crucial for manipulation tasks. Existing calibration techniques often rely on sensors external to the robot (cameras, laser scanners, etc.) or specialized tools. This reliance complicates the…

机器人学 · 计算机科学 2024-03-21 Podshara Chanrungmaneekul , Kejia Ren , Joshua T. Grace , Aaron M. Dollar , Kaiyu Hang