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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 36 for “"radial-basis functions"”.
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Modeling arterial blood flow using radial basis functions
… flow in arteries using a meshless method, namely radial basis functions with a time integration technique. Since meshless methods do not require the time consuming step of connective mesh generation, interest has grown about applying them in fluid dynamics. The method was implemented and verified …
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Numerical solutions to Poisson's equation using radial basis functions
This thesis addresses the problem of obtaining solutions to Poisson's equation which is encountered in the applied sciences and engineering fields. Two separate methods are explained for obtaining particular solutions to this equation. The Method of Fundamental Solutions is then used to solve the …
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Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
… compared against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and differentiation matrices easily by using scattered data points. We derive expressions for such matrices for the Laplace-Beltrami operator via so-called Reilly’s formulas …
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Accelerating the Performance of a Novel Meshless Method Based on Collocation With Radial Basis Functions By Employing a Graphical Processing Unit as a Parallel Coprocessor
… in-cooperates the collocation of the Gaussian radial basis function by utilizing the GPU as a parallel co-processor. Key phases of the proposed meshless method have been executed on the GPU using the NVIDIA CUDA software development kit. Especially, the matrix fill and solution phases have been …
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Localized Method Of Approximate Particular Solutions For Solving Optimal Control Problems Governed By PDES
… particular solutions(LMAPS) with polynomial basis, and radial basis functions are proposed and applied on the optimal control problems(OCPs) governed by partial differential equations(PDEs).</p> <p>This study proceeds in several steps. First, polynomial basis and radial basis functions are …
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Radial basis function based meshless methods for fluid flow problems
… with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation points in the physical domain and no connectivity information is …
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A Radial Basis Function Approach to a Color Image Classification Problem in a Real Time Industrial Application
In this thesis, we introduce a radial basis function network approach to solve a color image classification problem in a real time industrial application. Radial basis function networks are employed to classify the images of finished wooden parts in terms of their color and species. Other …
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Training hierarchical networks for function approximation
… to hierarchical kernel machines with the Radial Basis Functions (RBF).We investigate the difficulty of training RBF networks with stochastic gradient descent (SGD) and hierarchical RBF. We discovered that training singled layered RBF networks can be quite simple with a good initialization …
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Adaptive Method of Approximate Particular Solution for One-Dimensional Differential Equations
… Approximate Particular Solution (MAPS) using radial basis functions for solving boundary value problems is discussed in this work. The goal of the adaptive algorithm is to construct an optimal collocation points distribution that gives the required accuracy with the smallest number of degrees …
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A Comparison of Two Different Methods for Solving Biharmonic Boundary Valve Problems
<p>We use the methods of compactly supported radial basis functions (CS-RBFs) and Delta-shaped basis functions (DBFs) to obtain the numerical solution of a two-dimensional biharmonic boundary value problem. The biharmonic equation is difficult to solve due to its existing fourth order derivatives, …
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Solution of the Fokker-Planck Equation by Sequentially Optimized Meshfree Approximation
… dimensionality. Through the use of optimization, radial basis functions, and its mesh-free architecture, respectively, the SOMA method attempts to address these challenges and sidestep the exponential growth of dimensionality, which hinders traditional numerical methods. Results are presented for …
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Solution of fluid-structure interaction problems using a discontinuous Galerkin technique
… are then obtained using algorithms based on radial basis functions (RBF) or linear elasticity. These strategies are robust and can be applied to bodies with arbitrary shapes and undergoing arbitrary motions. The robustness and accuracy of the ALE scheme coupled with these mapping strategies …
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Application of Koopman Operator Theory to Legged Locomotion
… Koopman models were developed using both Radial Basis Functions (RBFs) and neural network-generated observables for the passive rimless wheel. A novel actuation method with linear actuators, combined with the Control Coherent Koopman methodology, resulted in accurate linear models that …
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Improvement of pavement mechanistic-empirical design (PMED) virtual weather station interpolation model using radial basis function - Tennessee case study
… model interpolation technique and that by a Radial Basis Function (RBF). RBF interpolation showed very fast error convergence with the increase in number of interpolation data as compared to the gravity model. Contour plots emphasized the quality of interpolation where the RBF model produced …
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A "divide-and-conquer" strategy for NDE signal inversion in gas transmission pipelines
… neural network inversion algorithm consists of radial basis functions that implement geometric transformations of the input NDE signals. It is shown that this "divide-and-conquer" strategy yields robust results, especially when applied to test data that the neural network has not seen before. …
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Machine learning paradigms for building energy performance simulations
… modeling techniques found that parametric radial basis functions and Kriging are highly accurate regression techniques for predicting building energy consumption. For a single climate, these regression techniques can predict the total energy consumption to within 2% of a detailed energy …
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Predicting cardiovascular risks using pattern recognition and data mining.
… techniques include multilayer perceptrons, radial basis functions, and support vector machines for supervised classification, and self organizing maps, KMIX and WKMIX algorithms for unsupervised clustering. The Physiological and Operative Severity Score for enUmeration of Mortality and …
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Effects of artificial neural networks characterization on prediction of diesel engine emissions
… along with the variation of embedded activation functions. An optimization strategy was followed to attain the most suitable network in the defined framework for five emissions of NOx, PM, HC, CO, and CO2. The emissions data were obtained from five engine transient test schedules, namely the …
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Teaching a robot manipulation skills through demonstration
… task trials are then analyzed spatially using radial basis functions [RBFs] to interpolate demonstrations to span his workspace, using the object position as the motion blending parameter. An analysis of the motions in the object coordinate space [with the origin defined at the object] and …
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Exploring Immersed FEM, Material Design, and Biological Tissue Material Modeling
… The design space is parameterized using radial basis functions, facilitating a gradient-based optimization algorithm for optimal coefficients. The method produces geometries with smooth boundaries and distinct interfaces, demonstrated through numerical examples. The thesis then delves …
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