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 11 of 11 for “"spectral geometry"”.
-
Shape Analysis Using Spectral Geometry
… shape spectra from the differential geometry perspective, focusing more on the intrinsic properties. In this dissertation, the shapes are represented with 2 manifolds, which are differentiable.</p> <p>First, we discuss in detail about the salient geometric feature points in the …
-
Spectral Geometry for Structural Pattern Recognition
… a graph characterization based on differential geometry by computing sets of curvatures associated with the graph nodes, edges and triangular faces. The second contribution comes from the need to solve the problem that arise in the processing of a noisy data over a graph. The Principal …
-
Spectral geometry of hyperbolic 3-manifolds
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Shalen, Meyerhoff, and others to obtain various estimates and inequalities involving geometric data of hyperbolic 3-manifolds. These give numerical relationships between quantities like volume, length …
-
Spectral Geometry for Deep Learning: Compression and Hallucination Detection via Random Matrix Theory
… barriers. This thesis develops a unifying spectral framework, grounded in Random Matrix Theory (RMT), to address both reliability and efficiency in modern AI systems. First, it introduces EigenTrack, a real-time detector of hallucination and distributional shift in large language and …
-
Steklov geometry processing : an extrinsic approach to spectral shape analysis
… as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis. Intrinsic approaches, usually based on the Laplace-Beltrami operator, cannot capture the spatial embedding of a shape up to rigid motion, and many previous extrinsic methods lack theoretical …
-
Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
In noncommutative geometry, the metric information of a noncommutative space is encoded in the data of a spectral triple $(mathcal{A}, mathcal{H},D)$, where $D$ plays the role of the Dirac operator acting on the Hilbert space of spinors. Ideas of spectral geometry can then be used to define …
-
The 1-dimensional [lambda]-self shrinkers in R² and the nodal sets of biharmonic Steklov problems
… than 2. Chapter 3 focuses on the background of spectral geometry. Several eigenvalue problems are introduced. We have a brief survey of some of the important problems such as the asymptotic distribution of the eigenvalues, the shape optimization problem and the bound of nodal sets. This project …
-
Geometric Computing beyond the Laplacian
… the central object of study in shape analysis, geometry processing, and scientific computing. Motivated by the ubiquity of Laplacian in geometric computing algorithms, this thesis initiates a program for systematically designing novel algorithms by replacing the Laplacian with better or even …
-
On Disentangled Analysis-by-Synthesis Shape Representations
… forming internal representations of its 3D geometry, often through visual perception. Hence, in this thesis, we investigate the representation learning of 3D shape via computer vision (CV). In particular, we explore the Analysis-by-Synthesis (AbS) paradigm, which postulates perceptual …
-
Event-centric Twitter photo summarization
We develop a novel algorithm based on spectral geometry that summarize a photo collection into a small subset that represents the collection well. While the definition for a good summarization might not be unique, we focus on two metrics in this thesis: representativeness and diversity. By …
-
Stable isoperimetric ratios and hyperbolic geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms