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 20 of 21 for “"invariance properties"”.
-
Invariance Properties of Statistical Tests for Dependent Observations
… covariance matrices for which the distributional properties of the quadratic forms in ANOVA problems remain invariant. These results are contained in Chapter 3.</p> <p>In Chapters 4 and 5, we generalize our results to the multivariate test statistics, first considering a special covariance …
-
Lie Group Invariance Properties of Radiation Hydrodynamics Equations
Made available in DSpace on 2017-07-06T18:38:03Z (GMT). No. of bitstreams: 3 Coggeshall_Stephen_V_PhD.pdf: 98937878 bytes, checksum: 222756a87e39c2005bab2bbf099508f3 (MD5) Coggeshall_Stephen_V_PhD_ABS.pdf: 451972 bytes, checksum: 4c84d2c1e0b39722d200ae1164d25b0a (MD5) license.txt: 4813 bytes, …
-
Rigidity and invariance properties of certain geometric frameworks
Given a degenerate (n + 1)-simplex in a n-dimensional Euclidean space Rn, which is embedded in a (n + 1)-dimensional Euclidean space Rn+l. We allow all its vertices to have continuous motion in the space, either in Rn+l or restricted in Rn. For a given k, based on certain rules, we separate all its …
-
Group Invariance Properties of Transient Nonlinear Heat Conduction Problems
The variation of the thermal properties with temperature complicates the analysis of transient heat conduction problems because the governing partial differential equations are nonlinear. The analytical situation in some cases is further complicated by a volumetric heat generation (or dissipat
-
Transformation-invariance properties of Grad-CAM in Convolutional Neural Networks
… systematically investigates the transformation-invariance properties of Grad-CAM across popular CNN architectures—ResNet152, DenseNet201, and Xception. An experimental pipeline was designed and implemented to apply controlled transformations to input images, generate corresponding Grad-CAM …
-
Invariance properties of the human visual system in one-shot learning
… novel stimuli, we address the question whether invariance to transformation emerges from experience and memorization of templates or from the brain instantly computing invariant representation. Our psychophysical experimental results suggest that human vision produces a representation that is …
-
Robustness redressed : an exploratory study on the relationships among overall assumption violation, model-data-fit, and invariance properties for item response theory models
This study compares item and examinee properties, studies the robustness of IRT models, and examines the difference in robustness when using model-data-fit as a robustness criterion. A conceptualization of robustness as a statistical relationship between model assumption violation and invariance …
-
An Application of the Lie Group Theory of Continuous Point Transformations to the Vlasov-Maxwell Equations (Plasma Physics)
The concept of invariance of partial differential equations under Lie groups of continuous point transformations is employed to study the Vlasov-Maxwell equations of plasma physics. These equations are first expressed in arbitrary orthogonal, curvilinear coordinates. Their invariance properties are …
-
Two applications of U-Statistic type processes to detecting failures in risk models and structural breaks in linear regression models
… that these partial sum processes share certain invariance properties; estimation risk does not affect their weak convergence results and they are also robust to asymmetries in the error process in linear regression models. There is also an application of the methods developed here to a four …
-
A tensor product approach to non-local differential complexes
… we construct Hilbert complexes, observe invariance properties, and obtain associated self-adjoint Hodge Laplacians. For the case of _d_-regular measures and operators of fractional Laplacian type, we provide results on removable sets in terms of Hausdorff measures. We prove a …
-
Finite-strength shock propagation for alternative equations of state
… is developed. Using concepts of Lie groups, the invariance properties of the spherically symmetric equations of gasdynamics are determined and used to construct invariant equations of state. The invariant functions of this group are next introduced as the new dependent and independent variables …
-
Optimal Electrodynamic Tether Phasing and Orbit-Raising Maneuvers
… the solution space. The EDT phasing maneuver has invariance properties similar to constant-thrust phasing maneuvers. Analyzing the solution space reveals that the EDT is faster at performing phasing maneuvers but slower at performing orbit-raising maneuvers than constant-thrust spacecraft. Also …
-
Applications of Lie Group Methods to the Equations of Magnetohydrodynamics
The invariance properties of various sets of magnetohydrodynamic (MHD) equations are studied using techniques from the theory of differential forms. Equations considered include the ideal MHD equations in different geometries and with different magnetic field configurations, the MHD equations in …
-
Lie group invariant finite-difference schemes for the neutron diffusion equation
… approximation of the diffusion equation, the invariance properties of the original differential equation have been incorporated into the finite difference equations. Using the concept of an invariant difference operator, the invariant difference approximations of the multi-group neutron …
-
Generalization and properties of the neural response
… stage. In this thesis we study the theoretical properties of hierarchical algorithms from a mathematical perspective. Our work is based on the framework of hierarchical architectures introduced by Smale et al. in the paper "Mathematics of the Neural Response", Foundations of Computational …
-
Machine Learning Approaches to Data-Driven Transition Modeling
… examined for their computational complexity and invariance properties based on the transport equation of a general scalar quantity. The data-driven approaches explored here demonstrate the potential for improved transition prediction models.
-
Sparse Gaussian Process Approximations and Applications
… Gaussian processes with more general invariance properties. Finally, we revisit the derivation of the Gaussian process State Space Model, and discuss some subtleties relating to their approximation. We hope that this thesis illustrates some benefits of non-parametric models and their …
-
Toward a more biologically plausible model of object recognition
… requirement for both specificity and invariance. An emerging picture from decades of neuroscience research is that the cortex overcomes this challenge by gradually building up specificity and invariance with a hierarchical architecture. In this thesis, I present a computational model …
-
BUNDLE METRICS IN KALUZA-KLEIN THEORIES AND THE CONSISTENCY PROBLEM
… giving rise to Brans-Dicke-like scalars. The invariance properties of these metrics, under general gauge transformations are also discussed. It is found that the usual requirement of a gauge-invariant metric leads to constraints on the gauge fields. To avoid them, it is shown that the metric …
-
Discontinuities, Balance Laws, and Material Momentum
… entails splitting of the energy balance by its invariance properties, and identifying the non-invariant and invariant part of the source term with the power input and energy dissipation respectively at the shock. This approach is in contrast with other treatments of such problems in the …
Page 1 of 2