Global ETD Search
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 14 of 14 for “"basis expansion"”.
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Dynamics of diatomic molecules in intense laser fields
… (NA-QMD) formalism. First, the error of a finite basis expansion is considered and a new measure is proposed for time-dependent calculations. This is used to investigate systematically the influence of the used basis set in calculations on the hydrogen atom in intense laser fields. Second, …
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Signal approximation using the bilinear transform
… the approximation properties of a unique basis expansion. The expansion implements a nonlinear frequency warping between a continuous-time signal and its discrete-time representation according to the bilinear transform. Since there is a one-to-one mapping between the continuous-time and …
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Automated Adaptive Data Center Generation For Meshless Methods
… meshes and the free parameter, c, of the radial-basis expansion functions (RBF) still must be tailored specifically to a problem. The localized meshless collocation method investigated requires a local influence region, or topology, used as the expansion medium to produce the required field …
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Ab-initio molecular dynamics studies of laser- and collision-induced processes in multielectron diatomics, organic molecules and fullerenes
… density functional theory (TD-DFT) in basis expansion. Depending on the actual system and physical process, well suited basis sets for the Kohn-Sham orbitals has to be chosen. For the ionization process a novel absorber acting in the energy space as well as additional basis functions …
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Information Analysis of Spatiotemporal Data Stream–Models, Algorithms and Evaluations
… from spatiotemporal profile based on a Bayesian basis-expansion model. One simulated dummy WDS and one simulated WDS at Austin, TX, are used for model validation and comparison.
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Robust Statistical Modeling In Functional Linear Regression
… Chapter 2 presents a comprehensive overview of basis expansion methods for functional data analysis. Lastly, Chapter 6 concludes this dissertation by offering potential avenues for future research.
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Robust methods for analyzing multivariate responses with application to time-course data
… multivariate responses. We use spline basis expansion of the time-varying regression coefficients to reduce dimensionality, and downweight the influence of outliers with Huber's loss function on vectors of residuals. Our research is motivated by time-course microarray experiments to …
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Prolate Spheroidal Sequence Based Transceivers for Time-Frequency Dispersive Channels
… subspace, the Discrete Prolate Spheroidal (DPS) basis matched to the channel parameters is known to be optimally compact in representing the channel using a basis expansion decomposition. Unlike the Discrete Fourier Transform (DFT) basis which lacks compactness due to the leakage effect. Leakage …
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Local multiagent control in large factored planning Problems
… the search for coordination via principled basis expansion in the approximate linear program (ALP). We show that the search maintains bounded solutions with respect to the optimal solution and that the bound improves monotonically. Introduced then are novel solution methods that exploit …
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An analysis of combinatorial search spaces for a class of NP-hard problems
… the objective function into a (sparse) series of basis functions. While most analyses of the distribution of function values in the search space must rely on empirical sampling, the basis function expansion allows us to directly study the distribution of function values across regions of states …
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Global optimization methods for localization in compressive sensing
… (i.e., represented using just a few terms from a basis expansion) by using a sampling rate much lower than that required by the Nyquist-Shannon sampling theorem (i.e., twice the highest frequency present in the signal of interest). Low-rate sampling reduces implementation's constraints and …
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Optimal Detection with Imperfect Channel Estimation for Wireless Communications
… and frequency-selective fading channels, basis expansion models (BEMs) are used due to high accuracy and low complexity. There are various BEMs used to represent the time-variant channels, such as Karhunen-Loeve (KL) functions, discrete prolate spheroidal (DPS) functions, generalized …
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Extension and applications of the GVVPT2 method to the study of transition metals
… the new embedding theory and supermolecular basis set expansion of KS orbitals reproduced conventional KS-DFT energies to at least the 7th decimal place (and even exactly at many geometries). A new way of expanding KS orbitals was also employed in the new embedding protocol, which is …
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Implementation of Solar Irradiance Forecasting Using Markov Switching Model and Energy Management System
… the Clear Sky Irradiance (CSI), and the Fourier basis functions to create linear models for three regimes or states: high, medium, and low energy regimes for a day corresponding to sunny, mildly cloudy, and extremely cloudy days, respectively. The case study for Brookings, SD, discussed in this …