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Statistical efficiency of curve fitting algorithms
[article]
2003
arXiv
pre-print
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We study the problem of fitting parametrized curves to noisy data. ...
We then show that the gradient-weighted algebraic fit is statistically efficient and describe all other statistically efficient algebraic fits. ...
Efficiency of circle fitting algorithms. Data are sampled along a full circle. ...
arXiv:cs/0303015v1
fatcat:njuvtniib5eznmcjaomml5j6ou
Statistical efficiency of curve fitting algorithms
2004
Computational Statistics & Data Analysis
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We study the problem of fitting parametrized curves to noisy data. ...
We then show that the gradient-weighted algebraic fit is statistically efficient and describe all other statistically efficient algebraic fits. ...
Efficiency of circle fitting algorithms. Data are sampled along a full circle. ...
doi:10.1016/j.csda.2003.11.008
fatcat:arercr4v2be5nmh2g6d3t7znem
A comparative study of curve-fitting algorithms used for radiation detection efficiencies
2017
Figshare
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Main focus of the test was to investigate any variations in the resulting values of the fitting parameters, as well as their respective statistical errors. ...
Comparative plots
Conclusions Efficiency curve fitting was performed in five different software environments. ...
doi:10.6084/m9.figshare.5072245.v1
fatcat:4wicfqfyufdl5ouuhstrddlayq
Eliminating Noise at the Box-fitting Spectrum
2012
Proceedings of the International Astronomical Union
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In this work we show that a modified detrend algorithm CDA (CoRoT Detrend Algorithm; Mislis et al. 2010) using a robust statistics and an empirical fit, instead of a polynomial one, can eliminate more ...
efficiently gaps in the data and other long-term trends from the light-curve. ...
We replace the polynomial fit by a resistant moving average in order to increase the sensitivity to sudden fluctuations in the data. We also implement a more robust statistics in the algorithm. ...
doi:10.1017/s1743921313013288
fatcat:vntrew6zdfdjne64jbdkc7kbxy
The Contracting Curve Density Algorithm: Fitting Parametric Curve Models to Images Using Local Self-Adapting Separation Criteria
2004
International Journal of Computer Vision
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In this article, we propose the Contracting Curve Density (CCD) algorithm as a solution to the curve-fitting problem. The CCD algorithm extends the state-of-the-art in two important ways. ...
First, it applies a novel likelihood function for the assessment of a fit between the curve model and the image data. ...
Acknowledgments: The authors would like to thank Carsten Steger for providing the DLL of the color edge detector; Jianbo Shi and Jitendra Malik for providing the executable of the Normalized Cuts algorithm ...
doi:10.1023/b:visi.0000025799.44214.29
fatcat:f5pylswvv5bh7jqrd7hn6vcita
Continuous Extraction of Subway Tunnel Cross Sections Based on Terrestrial Point Clouds
2014
Remote Sensing
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First, the continuous central axis of the tunnel is extracted using a 2D projection of the point cloud and curve fitting using the RANSAC (RANdom SAmple Consensus) algorithm, and the axis is optimized ...
An efficient method for the continuous extraction of subway tunnel cross sections using terrestrial point clouds is proposed. ...
Figure 10 . 10 Statistical test results of the optimized BaySAC algorithm. (a) Straight line; (b) Transition curve; (c) Curve. ...
doi:10.3390/rs6010857
fatcat:pihfq4vlbfgy3nwk67l7vzikci
SELECTING THE NUMBER OF KNOTS IN FITTING CARDINAL B-SPLINES FOR DENSITY ESTIMATION USING AIC
1990
Journal of the Japan Statistical Society, Japanese Issue
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Numerical examples are provided to illustrate the versatility and efficiency of the proposed approach by automating the curve fitting process. ...
The EM algorithm is developed for a "mixture" of B-splines to obtain the maxi mum likelihood estimators of the parameters and to score AIC. ...
of our proposed new approach by automating the curve fitting process without any subjectivity. ...
doi:10.11329/jjss1970.20.179
fatcat:v6xva7y66ngjxaet2dsojcpmd4
Contrasting Two Frameworks for ROC Analysis of Ordinal Ratings
2010
Medical decision making
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algorithms and the efficiencies with which they use data. ...
Background-Statistical evaluation of medical imaging tests used for diagnostic and prognostic purposes often employ receiver operating characteristic (ROC) curves. ...
Acknowledgments Supported in part by R01 CA129934: Considerations of Covariates in Biomarker Studies and R01 GM054438: Statistical Methods for Medical Tests and Biomarkers by the National Institutes of ...
doi:10.1177/0272989x09357477
pmid:20147599
pmcid:PMC2905510
fatcat:ucd2jwns5jgz3gzzi4fwnqi7di
Fault Detection of a Wind Turbine's Gearbox, based on Power Curve Modeling and an on-line Statistical Change Detection Algorithm
2021
Acta Polytechnica Hungarica
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Finally, an on-line CUSUM statistical change detection algorithm was used to evaluate and detect small changes in power residuals generated from the model. ...
The presented fault detection system successfully detected faults in both detection levels under realistic wind turbulence and with a fault magnitude of 2% efficiency degradation for the progressive degradation ...
Acknowledgment The authors would like to thank the Department of Control Engineering and System Analysis at the Free University of Brussels (ULB) and the head of department Prof. ...
doi:10.12700/aph.18.6.2021.6.10
fatcat:hvnnshov5bhmtftn4cae5su3oy
Abstracts of Bulletin of the Computational Statistics of Japan
1992
Journal of the Japanese Society of Computational Statistics
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Hastie and Stuetzle (1989) have proposed Principal Curves as an algorithm to fit curves to such data. ...
A Refined Algorithm of Principal Curves and the Evaluation of Its Complexity. ...
doi:10.5183/jjscs1988.5.75
fatcat:kucr5szxszcdzddj4dpmsd5kcm
On the Use of Random Variables in Particle Swarm Optimizations: A Comparative Study of Gaussian and Uniform Distributions
2009
Journal Electromagnetic Waves and Applications
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It is revealed through the statistic analysis that the Gaussian distributed random variables increase the efficiency of the PSO algorithm as compared to the widely used uniformly distributed random variables ...
The particle swarm optimization (PSO), now widely used in the electromagnetics community, is a robust evolutionary method based on the property of swarm intelligence. ...
According to various statistical comparisons of the Rastrigin's function and an antenna array example, it is demonstrated that the PSO algorithm is more efficient when using the new proposed Gaussian random ...
doi:10.1163/156939309788019787
fatcat:5j4lbr7qcbaelibzz6ja4au6gy
Development of a prediction model based on linear regression to estimate the success rates of seafood caught from different catching centers
2021
International Journal of Advanced and Applied Sciences
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To determine the best model to match the data, the algorithms employ the Least-Square Curve Fitting approach. The success rates are predicted using the best-fit model that results. ...
of the presented algorithms. ...
This method of the curve fit is relatively straightforward and easy to compute and understand, but it is not the most statistically robust method of fitting a function. ...
doi:10.21833/ijaas.2021.12.013
fatcat:jagmtw65cfenhcglohvi2mh5ea
Flexible Hierarchical Gaussian Mixture Model for High-Resolution Remote Sensing Image Segmentation
2020
Remote Sensing
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One effective way to improve the segmentation accuracy is to accurately model the statistical distributions of pixel intensities. ...
The results show that the proposed algorithm is able to flexibly model the complicated distributions and accurately segment images. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/rs12071219
fatcat:wyrrpvqn7bfpha4f4ke7l22kf4
Improving RANSAC for Efficient and Precise Model Fitting with Statistical Analysis
2019
European Journal of Electrical Engineering and Computer Science
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RANSAC (random sample consensus) has been widely used as a benchmark algorithm for model fitting in the presence of outliers for more than thirty years. ...
Many other algorithms have been proposed for the improvement of RANSAC. ...
CONCLUSION This paper introduces a precise and efficient model fitting algorithm named as SASAC, which is based on statistical analysis for sample consensus. ...
doi:10.24018/ejece.2019.3.5.111
fatcat:t26uq2j6lba3zl4n4gfrxurini
Comparison of Fracture Delineation Methods in Anteroposterior Pelvic Radiographs
2020
International Journal of Computer Communication and Informatics
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The paper includes the comparison of three different fracture detection methods – GLCM and ANN based, Statistical curve fitting and classifier based and finally statistical curve fitting and ANN based ...
Pelvic fractures are very difficult to detect due to the visual complexity of the pelvic bone. ...
The Statistical Curve Fitting and ANN Based Fracture Detection Method Root Mean Square Error is the most distinguishing statistical curve fitting feature. ...
doi:10.34256/ijcci2023
fatcat:z6pmsp6fvzfn7lrmnidtpetv4u
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