A new data-adaptive network design methodology based on the k-means clustering and modified ISODATA algorithm for regional gravity field modeling via spherical radial basis functions

Date

2022-11-01

Author

Uluğ, Raşit
Karslıoğlu, Mahmut Onur

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

76
views

0
downloads

In this study, a new data-adaptive network design methodology called k-SRBF is presented for the spherical radial basis functions (SRBFs) in regional gravity field modeling. In this methodology, the cluster centers (centroids) obtained by the k-means clustering algorithm are post-processed to construct a network of SRBFs by replacing the centroids with the SRBFs. The post-processing procedure is inspired by the heuristic method, Iterative Self-Organizing Data Analysis Technique (ISODATA), which splits clusters within the user-defined criteria to avoid over- and under-parameterization. These criteria are the minimum spherical distance between the centroids and the minimum number of samples for each cluster. The bandwidth (depth) of each SRBF is determined using the generalized cross-validation (GCV) technique in which only the observations within the radius of impact area (RIA) are used. The numerical tests are carried out with real and simulated data sets to investigate the effect of the user-defined criteria on the network design. Different bandwidth limits are also examined, and the appropriate lower and upper bandwidth limits are chosen based on the empirical signal covariance function and user-defined criteria. Also, additional tests are performed to verify the performance of the proposed methodology in combining different types of observations, such as terrestrial and airborne data available in Colorado. The results reveal that k-SRBF is an effective methodology to establish a data-adaptive network for SRBFs. Moreover, the proposed methodology improves the condition number of normal equation matrix so that the least-squares procedure can be applied without regularization considering the user-defined criteria and bandwidth limits.

Subject Keywords

Data-adaptive network design, ISODATA, k-means clustering algorithm, Poisson kernel, Regional gravity field modeling, Spherical radial basis functions

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142501988&origin=inward
https://hdl.handle.net/11511/101516

Journal

Journal of Geodesy

DOI

https://doi.org/10.1007/s00190-022-01681-2

Collections

Graduate School of Natural and Applied Sciences, Article

Suggestions

OpenMETU
Core

A Transformation Media Based Approach for Efficient Monte Carlo Analysis of Scattering From Rough Surfaces With Objects Ozgun, Ozlem; Kuzuoğlu, Mustafa (2013-03-01) This paper presents a computational model that utilizes transformation-based metamaterials to enhance the performance of numerical modeling methods for achieving the statistical characterization of two-dimensional electromagnetic scattering from objects on or above one-dimensional rough sea surfaces. Monte Carlo simulation of the rough surface scattering problem by means of differential equation-based finite methods (such as finite element or finite difference methods) usually places a heavy burden on compu...
A Model for Vertical-to-Horizontal Response Spectral Ratios for Europe and the Middle East Bommer, Julian J.; Akkar, Dede Sinan; Kale, Ozkan (2011-08-01) In the framework of probabilistic seismic hazard analysis, the preferred approach for obtaining the response spectrum of the vertical component of motion is to scale the horizontal spectrum by vertical-to-horizontal (V/H) spectral ratios. In order to apply these ratios to scenario or conditional mean spectra, the V/H ratios need to be defined as a function of variables such as magnitude, distance, and site classification. A new model for the prediction of V/H ratios for peak ground acceleration and spectral...
Advanced workflow for multi-well tracer test analysis in a geothermal reservoir Bayer, Peter; AKIN, TAYLAN; Akın, Serhat (2022-05-01) Interpretation of tracer tests in geothermal reservoirs is carried out by fitting the measured data either with simplified two-dimensional (2-D) analytical solutions or with complex numerical models. Available analytical solutions commonly only describe isotropic conditions in 1-D or 2-D, which is generally unsatisfactory to construct realistic reservoir models. Moreover, due to the large spatial and temporal scale of a tracer test in deep reservoirs, the concentration levels measured in the field are relat...
A new approach to multivariate adaptive regression splines by using Tikhonov regularization and continuous optimization TAYLAN, PAKİZE; Weber, Gerhard Wilhelm; Ozkurt, Fatma Yerlikaya (2010-12-01) This paper introduces a model-based approach to the important data mining tool Multivariate adaptive regression splines (MARS), which has originally been organized in a more model-free way. Indeed, MARS denotes a modern methodology from statistical learning which is important in both classification and regression, with an increasing number of applications in many areas of science, economy and technology. It is very useful for high-dimensional problems and shows a great promise for fitting nonlinear multivar...
Comparison of numerical wave tanks with various turbulence modelsin application to long wave motion and its interaction with a vertical wall Çınar, Gizem Ezgi; Güler, Hasan Gökhan; Arıkawa, Taro; Baykal, Cüneyt; Yalçıner, Ahmet Cevdet (null; 2018-08-03) In this study, performances of interFoam solver of OpenFOAM and CADMAS-SURF computational tools with several turbulence modelling approaches on the numerical modelling of long wave motion and its interaction with a vertical wall based on the physical model experiments presented by Arikawa (2015) are investigated and compared. IHFOAM is used as wave generation and absorption boundary condition (Higuera et al., 2013). Three-dimensional simulations are carried out solving Reynolds Averaged Navier Stokes (RANS)...

Citation Formats

R. Uluğ and M. O. Karslıoğlu, “A new data-adaptive network design methodology based on the k-means clustering and modified ISODATA algorithm for regional gravity field modeling via spherical radial basis functions,” Journal of Geodesy, vol. 96, no. 11, pp. 0–0, 2022, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142501988&origin=inward.