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When attempting to recover functions from observational data, one naturally seeks to do so in an optimal manner with respect to some modeling assumption. With a focus put on the worst-case setting, this is the standard goal of Optimal…

Optimization and Control · Mathematics 2020-04-02 Mahmood Ettehad , Simon Foucart

In modern production facilities industrial robots and humans are supposed to interact sharing a common working area. In order to avoid collisions, the distances between objects need to be measured conservatively which can be done by a…

Computer Vision and Pattern Recognition · Computer Science 2011-05-18 Maria Hänel , Stefan Kuhn , Dominik Henrich , Lars Grüne , Jürgen Pannek

This paper primarily focuses on figuring out the best array of cameras, or visual sensors, so that such a placement enables the maximum utilization of these visual sensors. Maximizing the utilization of these cameras can convert to another…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Lin Xu

Motivated by a study on deception and counter-deception, this paper addresses the problem of identifying an agent's target as it seeks to reach one of two targets in a given environment. In practice, an agent may initially follow a strategy…

Applications · Statistics 2025-04-07 Yiming Meng , Dongchang Li , Melkior Ornik

Spatial search problems abound in the real world, from locating hidden nuclear or chemical sources to finding skiers after an avalanche. We exemplify the formalism and solution for spatial searches involving two agents that may or may not…

Information Theory · Computer Science 2011-03-28 Vadas Gintautas , Aric Hagberg , Luis M. A. Bettencourt

Many problems in geometric optics or convex geometry can be recast as optimal transport problems: this includes the far-field reflector problem, Alexandrov's curvature prescription problem, etc. A popular way to solve these problems…

Numerical Analysis · Mathematics 2017-03-08 Jun Kitagawa , Quentin Mérigot , Boris Thibert

Hyperspectral imaging has proven its efficiency for target detection applications but the acquisition mode and the data rate are major issues when dealing with real-time detection applications. It can be useful to use snapshot spectral…

Many robotics tasks, such as path planning or trajectory optimization, are formulated as optimal control problems (OCPs). The key to obtaining high performance lies in the design of the OCP's objective function. In practice, the objective…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Trevor Barron , Xiaojing Zhang

Consider the goal of visiting every part of a room that is not blocked by obstacles. Doing so efficiently requires both sensors and planning. Our findings suggest a method of inexpensive optical range finding for robotic room traversal. Our…

Robotics · Computer Science 2020-04-20 Cole Smith , Eric Lin , Dennis Shasha

Random search methods are widely used for global optimization due to their theoretical generality and implementation simplicity. This paper proposes a depth-first directional search (DFDS) algorithm for globally solving nonconvex…

Optimization and Control · Mathematics 2025-11-12 Yuxuan Zhang , Wenxun Xing

The aim of this paper is to present a new method of approximation of planar data set using only arcs or segments. The first problem we are trying to solve is the following: the CNC machines can work only with simple curves (arcs or…

Numerical Analysis · Mathematics 2013-11-25 Maurizio Scarparo

In this paper we explore a symmetry-based search space reduction technique which can speed up optimal pathfinding on undirected uniform-cost grid maps by up to 38 times. Our technique decomposes grid maps into a set of empty rectangles,…

Artificial Intelligence · Computer Science 2011-06-22 Daniel Harabor , Adi Botea , Philip Kilby

Images are an important source of information for spacecraft navigation and for three-dimensional reconstruction of observed space objects. Both of these applications take the form of a triangulation problem when the camera has a known…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Sebastien Henry , John A. Christian

LiDARs plays an important role in self-driving cars and its configuration such as the location placement for each LiDAR can influence object detection performance. This paper aims to investigate an optimal configuration that maximizes the…

Robotics · Computer Science 2018-05-22 Shenyu Mou , Yan Chang , Wenshuo Wang , Ding Zhao

Searching for a target object in a cluttered scene constitutes a fundamental challenge in daily vision. Visual search must be selective enough to discriminate the target from distractors, invariant to changes in the appearance of the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Mengmi Zhang , Jiashi Feng , Keng Teck Ma , Joo Hwee Lim , Qi Zhao , Gabriel Kreiman

In remote sensing rotated object detection, mainstream methods suffer from two bottlenecks, directional incoherence at detector neck and task conflict at detecting head. Ulitising fourier rotation equivariance, we introduce Fourier Angle…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Changyu Gu , Linwei Chen , Lin Gu , Ying Fu

Phase retrieval refers to algorithmic methods for recovering a signal from its phaseless measurements. Local search algorithms that work directly on the non-convex formulation of the problem have been very popular recently. Due to the…

Information Theory · Computer Science 2020-03-06 Rishabh Dudeja , Milad Bakhshizadeh , Junjie Ma , Arian Maleki

To determine the 3D orientation and 3D location of objects in the surroundings of a camera mounted on a robot or mobile device, we developed two powerful algorithms in object detection and temporal tracking that are combined seamlessly for…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 David Joseph Tan , Nassir Navab , Federico Tombari

Our research has revealed a hidden relationship among several basic components, which leads to the best target detection result. Further, we have proved that the matched filter (MF) is always superior to the constrained energy minimization…

Methodology · Statistics 2017-10-16 Xiurui Geng , Luyan Ji , Yongchao Zhao

The angular synchronization problem is to obtain an accurate estimation (up to a constant additive phase) for a set of unknown angles $\theta_1,...,\theta_n$ from $m$ noisy measurements of their offsets $\theta_i-\theta_j \mod 2\pi$. Of…

Spectral Theory · Mathematics 2009-11-20 Amit Singer