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.
Results
Showing 1 to 14 of 14 for “"Discontinuous functions"”.
-
Multiplication of Singularity Functions by Discontinuous Functions in Schwartz Distribution Theory
Made available in DSpace on 2014-12-09T22:17:39Z (GMT). No. of bitstreams: 1 6801845.pdf: 2926703 bytes, checksum: caa010f9ee71fa5c25702a935aa98561 (MD5) Previous issue date: 1967
-
A learning method for the approximation of discontinuous functions for stochastic simulations
… for approximating simulation outputs that depend discontinuously on input parameters. Our approach focuses on piecewise smooth outputs and involves two stages: first, efficient detection and localization of discontinuities in high-dimensional parameter spaces using polynomial annihilation, support …
-
The Asymptotic Behavior of Birkhoff- and Lacunary Sums
… sums. The former are sums formed by periodic functions and exponentially growing sequences of natural numbers. The corresponding summands often exhibit behavior typical of independent and identically distributed random variables. The methods used are of an analytical and probabilistic nature. …
-
Wavelet-Based Statistical Modeling and Image Estimation
… approximation error when approximating smooth functions, and mitigates Gibbs artifacts when approximating discontinuous functions. Second, we study TI estimators and show that under mild conditions, replacing an estimator with its TI version will not worsen the estimation performance as …
-
An Introduction to the Lebesgue Integral
… of the integral that allows a wider class of functions to be integrated. However, there are many other types of integrals, the most important of which is the Lebesgue integral. The Lebesgue integral allows one to integrate unbounded or discontinuous functions whose Riemann integral does not …
-
Representation discovery in non-parametric reinforcement learning
… that use kernel regression to approximate value functions. The correctness guarantees of kernel regression require that the underlying value function be smooth. Most problems of interest do not satisfy this requirement in their native space, but can be represented in such a way that they do. In …
-
Connectivity and Darboux functions
Electronic Thesis or Dissertation
-
Data-Driven Deep Learning Methods for Physically-Based Simulations
… Network layers: the Graph Informed layer and the Discontinuous layer. The first one is defined to embed Neural Network architectures with graphs and improve prediction abilities on graph-structured data (as the Discrete Fracture Network models). The second one introduces learnable discontinuities …
-
Effect of modal truncation on derivatives of closed-loop damping ratios in structural control
It is well known that Fourier series of discontinuous functions converge slowly and that the derivatives of the series may not converge at all. Since modal expansion of structural response is a generalization of the Fourier series, slow convergence of modal expansion can be expected when the …
-
Active learning based on a hybrid neural network modeller
… and interesting when the method is applied to discontinuous functions. Although the experiments are conducted with clean data selection, it should be easy to extend them to noisy data selection since the method developed is validated using unlabelled data. The algorithm developed for these …
-
On instabilities and trust in deep learning
… to neural networks’ ability to approximate discontinuous functions. Chapter 4 examines the feasibility of learning uncertainty estimates for models, focusing on the potential to develop methods that help neural networks gauge their own confidence. The chapter introduces ‘shadow properties’, …
-
Global optimization in reduced space
… McCormick relaxations is extended to a class of discontinuous functions. It is further shown that branch-and-bound algorithms still possess their convergence properties.
-
Developments in the Extended Finite Element Method and Algebraic Multigrid for Solid Mechanics Problems Involving Discontinuities
In this dissertation, some contributions related to computational modeling and solution of solid mechanics problems involving discontinuities are discussed. The main tool employed for discrete modeling of discontinuities is the extended finite element method and the primary solution method …