Download or read book Genetic Algorithm Applied to Least Squares Curve Fitting written by Charles L. Karr and published by . This book was released on 1991 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Genetic Algorithm Applied to Least Squares Curve Fitting written by Charles L.. Karr and published by . This book was released on 1991 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Genetic Algorithm Applied to Least Squares Curve Fitting written by Charles L. Karr and published by . This book was released on 1991 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Genetic Algorithm Model Fitting written by and published by . This book was released on 1999 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques to fit mathematical models ("curves," which is what they are typically) to data are plentiful. However, many of these techniques often fall for large data sets or when complicated functions are used in the fit. The most frequent criterion used in fitting is minimization of a (possibly weighted) sum of squares of "residuals" or deviations between data points and the curve. This idea, that we obtain the "best" fit by minimizing an error measure, casts curve fitting as an optimization problem. There are two general classes of techniques for solving optimization problems: derivative-based methods and search methods. The latter class is subdivided into exhaustive search and guided search methods. When the "objective function" (function to minimize) is a complicated function of several variables and the equations involved cannot be solved in closed form, it is not difficult to see why derivative-based techniques often fail. Whether the technique involves Taylor-series approximation or proceeding up or down a gradient, it is generally necessary to have a good initial solution estimate, otherwise, being trapped in a local minimum or having a runaway solution is likely. Exhaustive search guarantees finding the global optimum, but is impractical for problems of any real complexity. This leaves the guided search methods, one example of which is genetic algorithms (GAs).
Download or read book Curve Fitting Using Genetic Algorithms written by and published by . This book was released on 1991 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic algorithms are search techniques based on the mechanics of natural selection. They have been used successfully in many applications because of their robustness and because of their ability to search in a noisy problem space. In particular, genetic algorithms are used in curve-fitting. The genetic algorithm selects the coefficients of a particular curve that most closely matches a given set of data. Candidate solutions are vectors of real numbers that represent the coefficients of the curve to be modeled. Thus, every candidate solution corresponds to a new function. As such, each candidate solution is evaluated using the sum of the squares of the residuals. The evaluation of each of these curves with respect to its fit of the data guides the genetic algorithm toward the solution with the greatest merit. Several examples of the application of genetic algorithms to curve-fitting problems are presented. Convergence to the optimal solution is rapid when knowledge of the coefficients is available. When little is known about coefficients, a degree of experimentation help obtain the optimal solution.
Download or read book Genetic Algorithms Applied to Curve fitting and Function Optimization written by Andrew G. Cowan and published by . This book was released on 1997 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Line Fitting Using Genetic Algorithms written by and published by . This book was released on 1997 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic algorithms are computational techniques which, given an optimization problem, use elements of directed and stochastic search to find the 'best' solution from the space of potential solutions. We apply GA's to the problem of fitting the minimum least-squares piecewise linear function to a set of data points in R(2) . We assume that the number of pieces is known but the knot locations are unknown. The effectiveness of our algorithm is demonstrated with two examples. Results are found to be quite promising and encourage further research.
Download or read book A Genetic Algorithm for Variable Knot Spline Fitting Via Least Squares written by Jennifer Pittman and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report we shall describe a method for fitting variable knot spline models to noisy univariate data which uses a genetic algorithm to optimize over the number and location of the knots. For a fixed number of knots, the location of the knots is chosen to minimize the sum of squares error; the appropriate number of knots is determined by the adjusted GCV criterion of Luo and Wahba (1997). The objective is to find the model which minimizes RSS/df, where the degrees of freedom are inflated to reflect the adaptive nature of the knot search (i.e., selection of basis functions). We justify theoretically that our algorithm will converge to the variable knot model which optimizes the model fitting criterion, given that this model is contained in the search space. A modified bootstrap technique is used to obtain pointwise standard errors for models obtained by the GA method. Experimental results comparing the performanceZ of the proposed algorithm to those obtained using the non-linear optimization technique of Schwetlick and Schuetze (1995), the genetic algorithm proposed by Manela et. al. (1993), and the method of Luo and Wahba (1997) are presented. We also discuss the extension our technique to related problems.
Download or read book Strain Gage Selection in Loads Equations Using a Genetic Algorithm written by and published by . This book was released on 1994 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Least Squares Data Fitting with Applications written by Per Christian Hansen and published by JHU Press. This book was released on 2013-01-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included are; an overview of computational methods together with their properties and advantages; topics from statistical regression analysis that help readers to understand and evaluate the computed solutions; many examples that illustrate the techniques and algorithmsLeast Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
Download or read book Report of Investigations written by and published by . This book was released on 1990 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mining Machine Orientation Control Based on Inertial Gravitational and Magnetic Sensors written by John J. Sammarco and published by . This book was released on 1990 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Genetic Algorithm and Its Variants written by Nilanjan Dey and published by Springer Nature. This book was released on 2023-07-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides fundamental concepts related to various types of genetic algorithms and practical applications in various domains such as medical imaging, manufacturing, and engineering design. The book discusses genetic algorithms which are used to solve a variety of optimization problems. The genetic algorithms are demonstrated to offer reliable search in complex spaces. The book presents high-quality research work by academics and researchers which is useful for young researchers and students.
Download or read book Artificial Intelligence in Real Time Control 1992 written by M.G. Rodd and published by Elsevier. This book was released on 2014-06-28 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium had two main aims, to investigate the state-of-the-art in the application of artificial intelligence techniques in real-time control, and to bring together control system specialists, artificial intelligence specialists and end-users. Many professional engineers working in industry feel that the gap between theory and practice in applying control and systems theory is widening, despite efforts to develop control algorithms. Papers presented at the meeting ranged from the theoretical aspects to the practical applications of artificial intelligence in real-time control. Themes were: the methodology of artificial intelligence techniques in control engineering; the application of artificial intelligence techniques in different areas of control; and hardware and software requirements. This symposium showed that there exist alternative possibilities for control based on artificial intelligence techniques.
Download or read book A Least square Distance Curve fitting Technique written by John Q. Howell and published by . This book was released on 1971 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book List of Bureau of Mines Publications and Articles with Subject and Author Index written by United States. Bureau of Mines and published by . This book was released on 1992 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Intelligence and Intelligent Systems written by Zhenhua Li and published by Springer Science & Business Media. This book was released on 2009-10-05 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes CCIS 51 and LNCS 5812 constitute the proceedings of the Fourth Interational Symposium on Intelligence Computation and Applications, ISICA 2009, held in Huangshi, China, during October 23-25. ISICA 2009 attracted over 300 submissions. Through rigorous reviews, 58 papers were included in LNCS 5821,and 54 papers were collected in CCIS 51. ISICA conferences are one of the first series of international conferences on computational intelligence that combine elements of learning, adaptation, evolution and fuzzy logic to create programs as alternative solutions to artificial intelligence.
