scholarly journals Evaluation of the accuracy and precision of the diffusion parameter EStImation with Gibbs and NoisE removal pipeline

NeuroImage ◽  
2018 ◽  
Vol 183 ◽  
pp. 532-543 ◽  
Author(s):  
Benjamin Ades-Aron ◽  
Jelle Veraart ◽  
Peter Kochunov ◽  
Stephen McGuire ◽  
Paul Sherman ◽  
...  
2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Jun Guan ◽  
Wenjun Yi ◽  
Sijiang Chang ◽  
Xiaoyuan Li

This article details a new optimizing algorithm called Adaptive Chaotic Mutation Particle Swarm Optimization (ACM-PSO). The new algorithm is used to perform aerodynamic parameter estimation on a spinning symmetric projectile. The main creative ideas of this new algorithm are as follows. First, a self-adaptive weight function is used so that the inertial weight can be adjusted dynamically by itself. Second, the initialized particle is generated by chaos theory. Last, a method that can be used to judge whether the algorithm has fallen into a local optimum is established. The common testing function is used to test the new algorithm, and the result shows that, compared with the basic particle swarm optimization (PSO) algorithm, it is more likely to have a quick convergence and high accuracy and precision, leading to extensive application. Simulated ballistic data are used as testing data, and the data are subjected to the new algorithm to identify the aerodynamic parameters of a spinning symmetric projectile. The result shows that the algorithm proposed in this paper can effectively identify the aerodynamic parameters with high precision and a quick convergence velocity and is therefore suitable for use in actual engineering.


2019 ◽  
Vol 17 (2) ◽  
pp. 675-695
Author(s):  
Theodoros Manikas ◽  
Anastasia Papavasiliou

2020 ◽  
Vol 85 (4) ◽  
pp. 2278-2293
Author(s):  
Ting Gong ◽  
Qiqi Tong ◽  
Zhiwei Li ◽  
Hongjian He ◽  
Hui Zhang ◽  
...  

2014 ◽  
Vol 41 (5) ◽  
pp. 1228-1235 ◽  
Author(s):  
Maryam Seif ◽  
Huanxiang Lu ◽  
Chris Boesch ◽  
Mauricio Reyes ◽  
Peter Vermathen

2019 ◽  
Vol 29 (01) ◽  
pp. 1-29 ◽  
Author(s):  
Hui Huang ◽  
Jian-Guo Liu ◽  
Jianfeng Lu

In this paper, we study the parameter estimation of interacting particle systems subject to the Newtonian aggregation and Brownian diffusion. Specifically, we construct an estimator [Formula: see text] with partial observed data to approximate the diffusion parameter [Formula: see text], and the estimation error is achieved. Furthermore, we extend this result to general aggregation equations with a bounded Lipschitz interaction field.


Author(s):  
Dawid Szarek

AbstractAnomalous diffusion behavior can be observed in many single-particle (contained in crowded environments) tracking experimental data. Numerous models can be used to describe such data. In this paper, we focus on two common processes: fractional Brownian motion (fBm) and scaled Brownian motion (sBm). We proposed novel methods for sBm anomalous diffusion parameter estimation based on the autocovariance function (ACVF). Such a function, for centered Gaussian processes, allows its unique identification. The first estimation method is based solely on theoretical calculations, and the other one additionally utilizes neural networks (NN) to achieve a more robust and well-performing estimator. Both fBm and sBm methods were compared between the theoretical estimators and the ones utilizing artificial NN. For the NN-based approaches, we used such architectures as multilayer perceptron (MLP) and long short-term memory (LSTM). Furthermore, the analysis of the additive noise influence on the estimators’ quality was conducted for NN models with and without the regularization method.


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