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Finding the optimal ordering of k-subsets with respect to an objective function is known to be an extremely challenging problem. In this paper we introduce a new objective for this task, rooted in the problem of star identification on…

Optimization and Control · Mathematics 2017-05-19 Joerg H. Mueller , Carlos Sánchez-Sánchez , Luís F. Simões , Dario Izzo

By varying a parameter of a one-dimensional piecewise smooth map, stable periodic orbits are observed. In this paper, complete analytic characterization of these stable periodic orbits is obtained. An interesting relationship between the…

Dynamical Systems · Mathematics 2011-02-10 Bhooshan Rajpathak , Harish K. Pillai , Santanu Bandopadhyay

Coordinate descent algorithms solve optimization problems by successively performing approximate minimization along coordinate directions or coordinate hyperplanes. They have been used in applications for many years, and their popularity…

Optimization and Control · Mathematics 2015-02-18 Stephen J. Wright

The rapid deployment of robotics technologies requires dedicated optimization algorithms to manage large fleets of autonomous agents. This paper supports robotic parts-to-picker operations in warehousing by optimizing order-workstation…

Robotics · Computer Science 2024-09-02 Cynthia Barnhart , Alexandre Jacquillat , Alexandria Schmid

Piecewise smooth maps are known to exhibit a wide range of dynamical features including numerous types of periodic orbits. Predicting regions in parameter space where such periodic orbits might occur and determining their stability is…

Dynamical Systems · Mathematics 2016-07-07 Arindam Saha , Soumitro Banerjee

This paper presents a novel algorithm to plan energy-efficient trajectories for autonomous ornithopters. In general, trajectory optimization is quite a relevant problem for practical applications with \emph{Unmanned Aerial Vehicles} (UAVs).…

This paper presents an enhanced version of the Interactive Voting-Based Map Matching algorithm, designed to efficiently process trajectories with varying sampling rates. The main aim is to reconstruct GPS trajectories with high accuracy,…

Machine Learning · Computer Science 2025-08-18 William Alemanni , Arianna Burzacchi , Davide Colombi , Elena Giarratano

We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic…

Astrophysics · Physics 2009-11-10 Ch. Skokos , K. E. Parsopoulos , P. A. Patsis , M. N. Vrahatis

Landmarks are important features of spatial cognition. Landmarks are naturally included in human route descriptions and in the past algorithms were developed to select the most salient landmarks at decision points and automatically…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Heinrich Löwen , Angela Schwering

In this paper, a reduced-rank scheme with joint iterative optimization is presented for direction of arrival estimation. A rank-reduction matrix and an auxiliary reduced-rank parameter vector are jointly optimized to calculate the output…

Data Structures and Algorithms · Computer Science 2016-11-17 L. Wang , R. C. de Lamare , M. Haardt

Quadruped robots are currently a widespread platform for robotics research, thanks to powerful Reinforcement Learning controllers and the availability of cheap and robust commercial platforms. However, to broaden the adoption of the…

Positioning systems in self-organizing networks generally rely on measurements such as delay and received signal strength, which may be difficult to obtain and often require dedicated equipment. An alternative to such approaches is to use…

Networking and Internet Architecture · Computer Science 2007-05-23 Farid Benbadis , Jean-Jacques Puig , Marcelo Dias de Amorim , Claude Chaudet , Timur Friedman , David Simplot-Ryl

In a previous paper (q-alg/9501022) we suggested some algorithms that could be useful in solving the problem of knot classification. Here we continue this discussion by answering questions raised in that paper and by commenting on practical…

q-alg · Mathematics 2008-02-03 Charilaos Aneziris

Periodic orbits are important objects of discrete dynamical systems, but finding them is not always easy. We present a self-contained introductory account, aimed at non-experts, to prove their existence and study their stability using the…

Dynamical Systems · Mathematics 2025-10-09 Lucía Alonso Mozo , Olivier Hénot , Phillipo Lappicy

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

We present an on-line algorithm for maintaining a topological order of a directed acyclic graph as arcs are added, and detecting a cycle when one is created. Our algorithm takes O(m^{1/2}) amortized time per arc, where m is the total number…

Data Structures and Algorithms · Computer Science 2008-03-07 Bernhard Haeupler , Siddhartha Sen , Robert E. Tarjan

In recent years, significant advances have been made in the design and evaluation of balanced (hyper)graph partitioning algorithms. We survey trends of the last decade in practical algorithms for balanced (hyper)graph partitioning together…

In this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

In this paper we develop further a method for detecting unstable periodic orbits (UPOs) by stabilising transformations, where the strategy is to transform the system of interest in such a way that the orbits become stable. The main…

Chaotic Dynamics · Physics 2015-05-13 Jonathan J. Crofts , Ruslan L. Davidchack

Order dependencies (ODs) capture relationships between ordered domains of attributes. Approximate ODs (AODs) capture such relationships even when there exist exceptions in the data. During automated discovery of ODs, validation is the…

Databases · Computer Science 2021-01-07 Reza Karegar , Parke Godfrey , Lukasz Golab , Mehdi Kargar , Divesh Srivastava , Jaroslaw Szlichta