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Traditional algorithms of point set registration minimizing point-to-plane distances often achieve a better estimation of rigid transformation than those minimizing point-to-point distances. Nevertheless, recent deep-learning-based methods…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Tatsuya Yatagawa , Yutaka Ohtake , Hiromasa Suzuki

The present work proposes a solution to the challenging problem of registering two partial point sets of the same object with very limited overlap. We leverage the fact that most objects found in man-made environments contain a plane of…

Computational Geometry · Computer Science 2020-02-20 Lan Hu , Haomin Shi , Laurent Kneip

In this paper we propose an annealing based framework to incorporate inequality constraints in optimization problems such as facility location, simultaneous facility location with path optimization, and the last mile delivery problem. These…

Optimization and Control · Mathematics 2020-02-11 Amber Srivastava , Gabriel Barsi Haberfeld , Naira Hovakimyan , Srinivasa M Salapaka

In this paper, we propose a distributed algorithm to solve planar minimum time multi-vehicle rendezvous problem with non-identical velocity constraints on cyclic digraph (topology). Motivated by the cyclic alternating projection method that…

Systems and Control · Computer Science 2014-06-11 Chunhe Hu , Zongji Chen

In this paper we present two new approaches for finding good starting solutions to the planar p-median problem. Both methods rely on a discrete approximation of the continuous model that restricts the facility locations to the given set of…

Optimization and Control · Mathematics 2020-04-14 Jack Brimberg , Zvi Drezner

We present a multidimensional optimization problem that is formulated and solved in the tropical mathematics setting. The problem consists of minimizing a nonlinear objective function defined on vectors over an idempotent semifield by means…

Optimization and Control · Mathematics 2014-04-17 Nikolai Krivulin

In the point set embeddability problem, we are given a plane graph $G$ with $n$ vertices and a point set $S$ with $n$ points. Now the goal is to answer the question whether there exists a straight-line drawing of $G$ such that each vertex…

Computational Geometry · Computer Science 2020-05-13 Tanaeem M. Moosa , M. Sohel Rahman

We introduce a fast and easy-to-implement simulation algorithm for a multivariate normal distribution truncated on the intersection of a set of hyperplanes, and further generalize it to efficiently simulate random variables from a…

Computation · Statistics 2017-02-21 Yulai Cong , Bo Chen , Mingyuan Zhou

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

Optimization and Control · Mathematics 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

This paper proposes a novel approach to map-based navigation system for unmanned aircraft. The proposed system attempts label-to-label matching, not image-to-image matching, between aerial images and a map database. The ground objects can…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Youngjoo Kim

In this paper we propose a new efficient linear programming based approach for multi-resource allocation and location problems in disaster management. Such problems require an integer solution and therefore, in most cases, the computations…

Optimization and Control · Mathematics 2018-12-05 Behrooz Bodaghi , Nadezda Sukhorukova

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

Systems and Control · Electrical Eng. & Systems 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

The densification of small-cell base stations in a 5G architecture is a promising approach to enhance the coverage area and facilitate the ever increasing capacity demand of end users. However, the bottleneck is an intelligent management of…

Networking and Internet Architecture · Computer Science 2017-05-10 Syed Awais Wahab Shah , Tamer Khattab , Muhammad Zeeshan Shakir , Mazen Omar Hasna

In this paper we propose a general methodology for solving a broad class of continuous, multifacility location problems, in any dimension and with $\ell_\tau$-norms proposing two different methodologies: 1) by a new second order cone mixed…

Optimization and Control · Mathematics 2014-10-21 Víctor Blanco , Justo Puerto , Safae El-Haj Ben-Ali

An All-to-All Comparison problem is where every element of a data set is compared with every other element. This is analogous to projective planes and affine planes where every pair of points share a common line. For large data sets, the…

Combinatorics · Mathematics 2023-08-30 Joanne L. Hall , Wayne Kelly , Yu-Chu Tian

In this paper, we consider multistopping problems for finite discrete time sequences $X_1,...,X_n$. $m$-stops are allowed and the aim is to maximize the expected value of the best of these $m$ stops. The random variables are neither assumed…

Probability · Mathematics 2012-01-04 Andreas Faller , Ludger Rüschendorf

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

The problem of Cloud resource provisioning for component-based applications consists in the allocation of virtual machines (VMs) offers from various Cloud Providers to a set of applications such that the constraints induced by the…

Logic in Computer Science · Computer Science 2020-06-11 Madalina Erascu , Flavia Micota , Daniela Zaharie

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

Optimization and Control · Mathematics 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris