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Frank Klawonn and Georg Hoffmann
Clustering algorithms are usually iterative procedures. In particular, when the clustering algorithm aims to optimise an objective function like in k-means clustering or Gaussian mixture models, iterative heuristics are required due to the high non-linea...
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Allan Jonathan da Silva, Jack Baczynski and José Valentim Machado Vicente
We introduce a novel stochastically correlated two-factor (i.e., bivariate) diffusion process under the square-root format, for which we analytically obtain the corresponding solutions for the conditional moment-generating functions and conditional chara...
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Elias Gravanis, Evangelos Akylas and Ernestos Nikolas Sarris
We construct approximate analytical solutions of the Boussinesq equation for horizontal unconfined aquifers in the buildup phase under constant recharge and zero-inflow conditions. We employ a variety of methods, which include wave solutions, self-simila...
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Han Li, Shengze Tian and Xinzhi Dang
Unbonded steel-mesh-reinforced rubber bearings (USRBs) have been proposed as an alternative isolation bearing for small-to-medium-span highway bridges. It replaces the steel plate reinforcement of common unbonded laminated rubber bearings (ULNR) with spe...
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Xin Zhou, Chenglin Tao, Xi Liang, Zeliang Liu and Huijian Li
The aim of topology optimisation is to determine the optimal distribution of material phases within the periodic cells of a microstructure. In this paper, the density of grid points under element volume fraction is constructed to replace the finite eleme...
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Chenglou Liu, Fangfang Xie and Tingwei Ji
Formation path planning is a significant cornerstone for unmanned aerial vehicle (UAV) swarm intelligence. Previous methods were not suitable for large-scale UAV formation, which suffered from poor formation maintenance and low planning efficiency. To th...
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Bahram Alidaee, Haibo Wang and Lutfu S. Sua
Quadratic unconstrained binary optimization (QUBO) is a classic NP-hard problem with an enormous number of applications. Local search strategy (LSS) is one of the most fundamental algorithmic concepts and has been successfully applied to a wide range of ...
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Kirill Suslov, Maksim Shirobokov and Anastasia Tselousova
This paper explores the use of the averaging method in the optimal control problem related to the multirevolution orbital transfer of a spacecraft with low-thrust capabilities. The regularized equations of motion are expressed using modified equinoctial ...
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David P. Groeneveld, Timothy A. Ruggles and Bo-Cai Gao
CMAC software provides reliable and accurate conversion of degraded top-of-atmosphere imagery to surface reflectance. Accomplished in near real-time using only scene statistics, CMAC can reside in-satellite to support low-latency corrected image output t...
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Efthimios Providas and Ioannis Nestorios Parasidis
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate me...
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