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This paper investigates a hybrid compositional approach to optimal mission planning for multi-rotor Unmanned Aerial Vehicles (UAVs). We consider a time critical search and rescue scenario with two quadrotors in a constrained environment.…

Robotics · Computer Science 2019-09-20 Usman A. Fiaz , John S. Baras

Using operator ordering techniques based on BCH-like relations of the su(1,1) Lie algebra and a time-splitting approach,we present an alternative method of solving the dynamics of a time-dependent quantum harmonic oscillator for any initial…

Quantum Physics · Physics 2021-03-26 D. M. Tibaduiza , L. B. Pires , D. Szilard , A. L. C. Rego , C. A. D. Zarro , C. Farina

The paper investigates a new hybrid synchronization called modified hybrid synchronization (MHS) via the active control technique. Using the active control technique, stable controllers which enable the realization of the coexistence of…

Optimization and Control · Mathematics 2022-03-30 K. S. Ojo , S. T. Ogunjo , I. A. Fuwape

The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

In this paper, we propose a hybrid collocation method based on finite difference and Haar wavelets to solve nonlocal hyperbolic partial differential equations. Developing an efficient and accurate numerical method to solve such problem is a…

Numerical Analysis · Mathematics 2022-11-15 Gopal Priyadarshi , Abdul Halim

Multi-beam selection is one of the crucial technologies in hybrid beamforming systems for frequency-selective fading channels. Addressing the problem in the frequency domain facilitates the procedure of acquiring observations for analog…

Information Theory · Computer Science 2018-11-30 Hsiao-Lan Chiang , Wolfgang Rave , Gerhard Fettweis

In this paper, we develop a new adaptive hyperbolic-cross-space mapped Jacobi (AHMJ) method for solving multidimensional spatiotemporal integrodifferential equations in unbounded domains. By devising adaptive techniques for sparse mapped…

Numerical Analysis · Mathematics 2024-04-12 Yunhong Deng , Sihong Shao , Alex Mogilner , Mingtao Xia

Over short time intervals planetary ephemerides have been traditionally represented in analytical form as finite sums of periodic terms or sums of Poisson terms that are periodic terms with polynomial amplitudes. Nevertheless, this…

Instrumentation and Methods for Astrophysics · Physics 2017-01-26 Yanning Fu , Jacques Laskar

We propose a novel formulation for phase synchronization -- the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons -- as a nonconvex optimization problem that enforces consistency among the pairwise…

Information Theory · Computer Science 2019-05-15 Tingran Gao , Zhizhen Zhao

Flows in which the primary features of interest do not rely on high-frequency acoustic effects, but in which long-wavelength acoustics play a nontrivial role, present a computational challenge. Integrating the entire domain with…

Numerical Analysis · Mathematics 2018-08-09 Emmanuel Motheau , Max Duarte , Ann Almgren , John B. Bell

For many relevant statistics of multivariate time series, no valid frequency domain bootstrap procedures exist. This is mainly due to the fact that the distribution of such statistics depends on the fourth-order moment structure of the…

Methodology · Statistics 2021-02-04 Marco Meyer , Efstathios Paparoditis

We propose a high-order stochastic-statistical moment closure model for efficient ensemble prediction of leading-order statistical moments and probability density functions in multiscale complex turbulent systems. The statistical moment…

Numerical Analysis · Mathematics 2023-06-21 Di Qi , Jian-Guo Liu

Modeling time-harmonic Maxwell problems in heterogeneous media presents significant mathematical and computational challenges. Due to the inherent non-elliptic structure and non-coercive nature of Maxwell equations, conventional methods…

Numerical Analysis · Mathematics 2026-04-30 Xiang Zhong , Eric T. Chung , Xingguang Jin

The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform the problem back to the time-domain, where they seek the…

Numerical Analysis · Mathematics 2020-03-18 Marcus J. Grote , Frédéric Nataf , Jet Hoe Tang , Pierre-Henri Tournier

The paper deals with a class of time-inconsistent control problems for McKean-Vlasov dynamics. By solving a backward time-inconsistent Hamilton-Jacobi-Bellman (HJB for short) equation coupled with a forward distribution-dependent stochastic…

Optimization and Control · Mathematics 2020-02-18 Hongwei Mei , Chao Zhu

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

This paper proposes new algorithms for the assembly line balancing problem with hierarchical worker assignment (ALBHW). The ALBHW appears in real industrial contexts where companies deal with a multi-skilled workforce. It considers task…

Optimization and Control · Mathematics 2020-04-29 Nicolas P. Campana , Manuel Iori , Mayron C. O. Moreira

In this work, we consider the problem of multi-pitch estimation, i.e., identifying super-imposed truncated harmonic series from noisy measurements. We phrase this as recovering a harmonically-structured measure on the unit circle, where the…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Anton Björkman , Filip Elvander

Resampling algorithms are a useful approach to deal with imbalanced learning in multilabel scenarios. These methods have to deal with singularities in the multilabel data, such as the occurrence of frequent and infrequent labels in the same…

Machine Learning · Computer Science 2025-01-22 Antonio J. Rivera , Miguel A. Dávila , David Elizondo , María J. del Jesus , Francisco Charte

In this paper, we propose a novel equilibrium solution notion for the time-inconsistent stochastic linear-quadratic optimal control problem. This notion is called the mixed equilibrium solution, which consists of two parts: a…

Optimization and Control · Mathematics 2018-08-21 Yuan-Hua Ni , Xun Li , Ji-Feng Zhang , Miroslav Krstic