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In this paper we first study a smooth optimization approach for solving a class of nonsmooth strictly concave maximization problems whose objective functions admit smooth convex minimization reformulations. In particular, we apply…

统计方法学 · 统计学 2009-04-07 Zhaosong Lu

This paper studies existing direct transcription methods for trajectory optimization applied to robot motion planning. There are diverse alternatives for the implementation of direct transcription. In this study we analyze the effects of…

最优化与控制 · 数学 2016-02-29 Diego Pardo , Lukas Möller , Michael Neunert , Alexander W. Winkler , Jonas Buchli

This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

系统与控制 · 电气工程与系统科学 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

For the numerical solution of shape optimization problems, particularly those constrained by partial differential equations (PDEs), the quality of the underlying mesh is of utmost importance. Particularly when investigating complex…

最优化与控制 · 数学 2025-10-14 Sebastian Blauth , Christian Leithäuser

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

最优化与控制 · 数学 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

This paper details a methodology to transcribe an optimal control problem into a nonlinear program for generation of the trajectories that optimize a given functional by approximating only the highest order derivatives of a given system's…

最优化与控制 · 数学 2025-09-09 Thomas L. Ahrens , Ian M. Down , Manoranjan Majji

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

最优化与控制 · 数学 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

Sparse channel estimation for massive multiple-input multiple-output systems has drawn much attention in recent years. The required pilots are substantially reduced when the sparse channel state vectors can be reconstructed from a few…

信息论 · 计算机科学 2021-02-17 Pengxia Wu , Hui Ma , Julian Cheng

The low-rank approximation is a complexity reduction technique to approximate a tensor or a matrix with a reduced rank, which has been applied to the simulation of high dimensional problems to reduce the memory required and computational…

计算物理 · 物理学 2020-08-26 Zhuogang Peng , Ryan McClarren , Martin Frank

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

机器人学 · 计算机科学 2025-11-11 Haotian Tan , Yuan-Hua Ni

We present a subgradient method for minimizing non-smooth, non-Lipschitz convex optimization problems. The only structure assumed is that a strictly feasible point is known. We extend the work of Renegar [5] by taking a different…

最优化与控制 · 数学 2018-02-28 Benjamin Grimmer

Least-squares reverse time migration is well-known for its capability to generate artifact-free true-amplitude subsurface images through fitting observed data in the least-squares sense. However, when applied to realistic imaging problems,…

地球物理 · 物理学 2020-03-04 Mengmeng Yang , Zhilong Fang , Philipp Witte , Felix J. Herrmann

The problem of finding the sparsest vector (direction) in a low dimensional subspace can be considered as a homogeneous variant of the sparse recovery problem, which finds applications in robust subspace recovery, dictionary learning,…

机器学习 · 计算机科学 2020-01-22 Qing Qu , Zhihui Zhu , Xiao Li , Manolis C. Tsakiris , John Wright , René Vidal

We consider simultaneously identifying the membership and locations of point sources that are convolved with different low-pass point spread functions, from the observation of their superpositions. This problem arises in three-dimensional…

信息论 · 计算机科学 2015-04-24 Yuanxin Li , Yuejie Chi

In this work, we consider solving optimization problems with a stochastic objective and deterministic equality constraints. We propose a Trust-Region Sequential Quadratic Programming method to find both first- and second-order stationary…

最优化与控制 · 数学 2024-09-27 Yuchen Fang , Sen Na , Michael W. Mahoney , Mladen Kolar

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

最优化与控制 · 数学 2021-04-27 Shenglong Zhou

Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the solutions are discontinuous, as commonly found in control problems…

Conjunction analysis and maneuver planning for spacecraft collision avoidance remains a manual and time-consuming process, typically involving repeated forward simulations of hand-designed maneuvers. With the growing density of satellites…

机器人学 · 计算机科学 2025-10-23 Fausto Vega , Jon Arrizabalaga , Ryan Watson , Zachary Manchester

Sparse signal recovery from a small number of random measurements is a well known NP-hard to solve combinatorial optimization problem, with important applications in signal and image processing. The standard approach to the sparse signal…

数据分析、统计与概率 · 物理学 2013-04-09 M. Andrecut

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

数值分析 · 数学 2017-05-23 Richard C. Barnard , Rick Archibald