RAFF.jl: Robust Algebraic Fitting Function in Julia

Castelani, Emerson Vitor; Lopes, Ronaldo; Shirabayashi, Wesley Vagner Inês; Sobral, F. N. C.

doi:10.21105/joss.01385

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…Construct an initial fitting function on a local subdomain, which is expressed as follows: Here, α(x) represents the node coordinate description function, that is, the coefficient to be solved. rough the analysis of the previous formula, it can be seen that in the process of constructing the fitting function [17,18], the most important thing is to obtain α(x), so the weighted discrete norm of the node needs to be defined for calculation. e specific calculation formula is as follows:…”

Section: D Point Data Denoisingmentioning

confidence: 99%

Computational Technologies on Modeling of Museum Interactive Virtual Display Based on User Experience

Zou

2022

Security and Communication Networks

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In order to solve the problems of the traditional museum interactive virtual display modeling methods such as poor clarity, low user satisfaction, and long interactive response time, a museum interactive virtual display modeling method based on user experience was proposed. The museum information collection system is set up to collect 3D point cloud data of exhibits by using the system, and the 3D point cloud data are denoised by the moving least squares method. The museum building data and denoised 3D point cloud data are integrated, and all point cloud data are registered. According to the registration results, the interactive virtual display model of the museum is preliminarily constructed, and the user experience model is used to adjust the parameters of the display model to realize the interactive virtual display modeling of the museum. The simulation results show that the proposed method has a high definition of the interactive virtual display of a museum, the average user satisfaction is 9.45, and the interactive response time is always below 0.4s, which fully verifies the superiority of the proposed method.

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Section: D Point Data Denoisingmentioning

confidence: 99%

Computational Technologies on Modeling of Museum Interactive Virtual Display Based on User Experience

Zou

2022

Security and Communication Networks

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“…The notebook is available in the project “RetentionData” via GitHub . For robust fitting and outlier detection, the package RAFF.jl was used . For linear and multivariate fits, the package LsqFit.jl was used. , Simulation of GC separations and chromatograms were performed with the open source software GasChromatographySimulator.jl .…”

Section: Methodsmentioning

confidence: 99%

Retention Database for Prediction, Simulation, and Optimization of GC Separations

Brehmer,

Duong,

Marquart

et al. 2023

ACS Omega

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This work presents an open source database with suitable retention parameters for prediction and simulation of GC separations and gives a short introduction to three common retention models. Useful computer simulations play an important role to save resources and time in method development in GC. Thermodynamic retention parameters for the ABC model and the K-centric model are determined by isothermal measurements. This standardized procedure of measurements and calculations, presented in this work, have a useful benefit for all chromatographers, analytical chemists, and method developers because it can be used in their own laboratories to simplify the method development. The main benefits as simulations of temperature-programed GC separations are demonstrated and compared to measurements. The observed deviations of predicted retention times are in most cases less than 1%. The database includes more than 900 entries with a large range of compounds such as VOCs, PAHs, FAMEs, PCBs, or allergenic fragrances over 20 different GC columns.

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“…Both algorithms were implemented in the Julia language, version 1.0.4 and are available in the official Julia repository. See [6] for information about the RAFF.jl package installation and usage.…”

Section: Numerical Implementation and Experimentsmentioning

confidence: 99%

“…RAFF was also implemented in the Julia language and is the main method of the RAFF.jl package [6]. As already mentioned in Section 2, RAFF is easily parallelizable, so serial and parallel/distributed versions are available, through the Distributed.jl package.…”

Section: Numerical Implementation and Experimentsmentioning

confidence: 99%

See 1 more Smart Citation

A robust method based on LOVO functions for solving least squares problems

Castelani

Lopes

Shirabayashi

et al. 2019

Preprint

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The robust adjustment of nonlinear models to data is considered in this paper. When data comes from real experiments, it is possible that measurement errors cause the appearance of discrepant values, which should be ignored when adjusting models to them. This work presents a Lower Order-value Optimization (LOVO) version of the Levenberg-Marquardt algorithm, which is well suited to deal with outliers in fitting problems. A general algorithm is presented and convergence to stationary points is demonstrated. Numerical results show that the algorithm is successfully able to detect and ignore outliers without too many specific parameters. Parallel and distributed executions of the algorithm are also possible, allowing for the use of larger datasets. Comparison against publicly available robust algorithms shows that the present approach is able to find better adjustments in well known statistical models.

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RAFF.jl: Robust Algebraic Fitting Function in Julia

Cited by 5 publications

References 7 publications

Computational Technologies on Modeling of Museum Interactive Virtual Display Based on User Experience

Computational Technologies on Modeling of Museum Interactive Virtual Display Based on User Experience

Retention Database for Prediction, Simulation, and Optimization of GC Separations

A robust method based on LOVO functions for solving least squares problems

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