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 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 Curve and Surface Fitting with Splines written by Paul Dierckx and published by Oxford University Press. This book was released on 1995 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such it gives a survey of possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples, academic as well as taken from real life.
Download or read book Knot Selection for Least Squares Thin Plate Splines written by John R. McMahon and published by . This book was released on 1987 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm for selection of knot point locations for approximation of functions from large sets of scattered data by least squares Thin Plate Splines is given. The algorithm is based on the idea that each data point is equally important in defining the surface, which allows the knot selection process to be decoupled from the least squares. Properties of the algorithm are investigated, and examples demonstrating it are given. Results of some least squares approximate are given and compared with other approximation methods. Keywords: Variables; Knot selection, Least squares, Thin plate splines, Dirichlet tesselation; Scattered data. (Author).
Download or read book Advances in Visual Computing written by George Bebis and published by Springer Nature. This book was released on 2023-11-30 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume LNCS 14361 and 14362 constitutes the refereed proceedings of the, 16th International Symposium, ISVC 2023, in October 2023, held at Lake Tahoe, NV, USA. The 42 full papers and 13 poster papers were carefully reviewed and selected from 120 submissions. A total of 25 papers were also accepted for oral presentation in special tracks from 34 submissions. The following topical sections followed as: Part 1: ST: Biomedical Image Analysis Techniques for Cancer Detection, Diagnosis and Management; Visualization; Video Analysis and Event Recognition; ST: Innovations in Computer Vision & Machine Learning for Critical & Civil Infrastructures; ST: Generalization in Visual Machine Learning; Computer Graphics; Medical Image Analysis; Biometrics; Autonomous Anomaly Detection in Images; ST: Artificial Intelligence in Aerial and Orbital Imagery; ST: Data Gathering, Curation, and Generation for Computer Vision and Robotics in Precision Agriculture. Part 2: Virtual Reality; Segmentation; Applications; Object Detection and Recognition; Deep Learning; Poster.
Download or read book Knot Selection for Least Squares Thin Plate Splines written by and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm for selection of knot point locations for approximation of functions from large sets of scattered data by least squares Thin Plate Splines is given. The algorithm is based on the idea that each data point is equally important in defining the surface, which allows the knot selection process to be decoupled from the least squares. Properties of the algorithm are investigated, and examples demonstrating it are given. Results of some least squares approximate are given and compared with other approximation methods. Keywords: Variables; Knot selection, Least squares, Thin plate splines, Dirichlet tesselation; Scattered data. (Author).
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 Computational Science ICCS 2023 written by Jiří Mikyška and published by Springer Nature. This book was released on 2023-06-29 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 14073-14077 constitutes the proceedings of the 23rd International Conference on Computational Science, ICCS 2023, held in Prague, Czech Republic, during July 3-5, 2023. The total of 188 full papers and 94 short papers presented in this book set were carefully reviewed and selected from 530 submissions. 54 full and 37 short papers were accepted to the main track; 134 full and 57 short papers were accepted to the workshops/thematic tracks. The theme for 2023, "Computation at the Cutting Edge of Science", highlights the role of Computational Science in assisting multidisciplinary research. This conference was a unique event focusing on recent developments in scalable scientific algorithms, advanced software tools; computational grids; advanced numerical methods; and novel application areas. These innovative novel models, algorithms, and tools drive new science through efficient application in physical systems, computational and systems biology, environmental systems, finance, and others.
Download or read book Curve Fitting and Modeling with Splines Using Statistical Variable Selection Techniques written by and published by . This book was released on 1982 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Additive Models written by Simon Wood and published by CRC Press. This book was released on 2006-02-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in widespread use, generalized additive models (GAMs) have evolved into a standard statistical methodology of considerable flexibility. While Hastie and Tibshirani's outstanding 1990 research monograph on GAMs is largely responsible for this, there has been a long-standing need for an accessible introductory treatment of the subject that also emphasizes recent penalized regression spline approaches to GAMs and the mixed model extensions of these models. Generalized Additive Models: An Introduction with R imparts a thorough understanding of the theory and practical applications of GAMs and related advanced models, enabling informed use of these very flexible tools. The author bases his approach on a framework of penalized regression splines, and builds a well-grounded foundation through motivating chapters on linear and generalized linear models. While firmly focused on the practical aspects of GAMs, discussions include fairly full explanations of the theory underlying the methods. Use of the freely available R software helps explain the theory and illustrates the practicalities of linear, generalized linear, and generalized additive models, as well as their mixed effect extensions. The treatment is rich with practical examples, and it includes an entire chapter on the analysis of real data sets using R and the author's add-on package mgcv. Each chapter includes exercises, for which complete solutions are provided in an appendix. Concise, comprehensive, and essentially self-contained, Generalized Additive Models: An Introduction with R prepares readers with the practical skills and the theoretical background needed to use and understand GAMs and to move on to other GAM-related methods and models, such as SS-ANOVA, P-splines, backfitting and Bayesian approaches to smoothing and additive modelling.
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 Least Squares Cubic Spline Approximation II Variable Knots written by Carl De Boor and published by . This book was released on 1968 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Design and Application of Hybrid Intelligent Systems written by Ajith Abraham and published by . This book was released on 2003 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Least Squares Cubic Spline ApproximationII Variable Knots written by Purdue University. Department of Computer Sciences and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algorithm which Determines the Global Least squares Equidistant Spline Fit written by M. R. Best and published by . This book was released on 1979 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Computer Science and Information Engineering written by David Jin and published by Springer Science & Business Media. This book was released on 2012-05-11 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: CSIE2012 is an integrated conference concentrating its focus on Computer Science and Information Engineering . In the proceeding, you can learn much more knowledge about Computer Science and Information Engineering of researchers from all around the world. The main role of the proceeding is to be used as an exchange pillar for researchers who are working in the mentioned fields. In order to meet the high quality of Springer, AISC series, the organization committee has made their efforts to do the following things. Firstly, poor quality paper has been refused after reviewing course by anonymous referee experts. Secondly, periodically review meetings have been held around the reviewers about five times for exchanging reviewing suggestions. Finally, the conference organizers had several preliminary sessions before the conference. Through efforts of different people and departments, the conference will be successful and fruitful.
Download or read book Advances in Swarm and Computational Intelligence written by Ying Tan and published by Springer. This book was released on 2015-06-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book and its companion volumes, LNCS volumes 9140, 9141 and 9142, constitute the proceedings of the 6th International Conference on Swarm Intelligence, ICSI 2015 held in conjunction with the Second BRICS Congress on Computational Intelligence, CCI 2015, held in Beijing, China in June 2015. The 161 revised full papers presented were carefully reviewed and selected from 294 submissions. The papers are organized in 28 cohesive sections covering all major topics of swarm intelligence and computational intelligence research and development, such as novel swarm-based optimization algorithms and applications; particle swarm opt8imization; ant colony optimization; artificial bee colony algorithms; evolutionary and genetic algorithms; differential evolution; brain storm optimization algorithm; biogeography based optimization; cuckoo search; hybrid methods; multi-objective optimization; multi-agent systems and swarm robotics; Neural networks and fuzzy methods; data mining approaches; information security; automation control; combinatorial optimization algorithms; scheduling and path planning; machine learning; blind sources separation; swarm interaction behavior; parameters and system optimization; neural networks; evolutionary and genetic algorithms; fuzzy systems; forecasting algorithms; classification; tracking analysis; simulation; image and texture analysis; dimension reduction; system optimization; segmentation and detection system; machine translation; virtual management and disaster analysis.
