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 51 for “"relative entropy"”.
-
Saturating Quantum Relative Entropy Inequalities
… Here, we shall focus on various quantum relative entropies, that measure distinguishability between two quantum states (or two entities). In particular, we will focus all details towards understanding the widely used data processing inequality for quantum relative entropy. The data …
-
Data Compression with Relative Entropy Coding
… I contribute to this trend by investigating relative entropy coding, a mathematical framework that generalises classical source coding theory. Concretely, relative entropy coding deals with the efficient communication of uncertain or randomised information. One of its key advantages is that …
-
On the nature and decay of quantum relative entropy
… core of thermodynamics and information theory, entropy's use in quantum information extends to diverse topics including high-energy physics and operator algebras. Entropy can gauge the extent to which a quantum system departs from classicality, including by measuring entanglement and coherence, …
-
Decomposition of general queueing network models. An investigation into the implementation of hierarchical decomposition schemes of general closed queueing network models using the principle of minimum relative entropy subject to fully decomposable constraints.
… schemes, based on the principle of minimum relative entropy given fully decomposable subset and aggregate utilization, mean queue length and flow-balance constraints. This principle is used, in conjuction with asymptotic connections to infinite capacity queues, to derive new closed form …
-
Diagnostics of source distribution and particle population in Monte Carlo source iteration methods
… into bins. These indicators are the Shannon entropy, Jensen measure, the progressive relative entropy and the posterior relative entropy. The fifth indicator of the source distribution's state was developed as to eliminate the need for the input of a mesh upon the geometry. This method will …
-
Historically implied swaption skews using non-parametric methods
… 15 years. A new method is constructed, named the relative entropy approach, which is based on the work of Buchen and Kelly (1996) and is capable of pricing long-term interest rate derivatives using a smoothed continuous distribution of the historical realised data of the underlying variable only, …
-
Density estimation with Kullback-Leibler loss
… splines, and trigonometric series. Bounds on the relative entropy (Kullback-Leibler number) between the true density and the estimator are obtained and rates of convergence are established for log-density functions assumed to have square integrable derivatives. The relative entropy risk between …
-
Thermostated Kac models
… distribution in terms of the L2 norm, in relative entropy, and in the Gabetta-Toscani-Wennberg (GTW) metric, at a rate independent of N. When m < N , the exponential rate of approach to equilibrium in L2 is shown to behave as m/N for N large, while the relative entropy and the GTW distance …
-
Information similarity metrics in information security and forensics
We study two information similarity measures, relative entropy and the similarity metric, and methods for estimating them. Relative entropy can be readily estimated with existing algorithms based on compression. The similarity metric, based on algorithmic complexity, proves to be more difficult to …
-
Systematic coarse-graining of ionic liquid
… systematic coarse-graining approach based on the relative entropy (RE) method to reproduce not only the structure but also the thermodynamic properties of the reference all-atom molecular model. Our systematic coarse-graining approach adds a constraint to the RE minimization using Lagrange …
-
Distillation and simulation in quantum information
… We introduce the channel’s analogs of max-relative entropy, logarithmic robustness and max-information of quantum states, providing their operational interpretation with the channel simulation cost via different resources. Particularly, we establish the asymptotic equipartition property of …
-
Convex Geometric Connections to Information Theory
… geometric interpretation they provide for the relative entropy of cone measures of a convex body and its polar. We define relative entropy for convex bodies and its relation to affine isoperimetric inequalities is considered. Other connections are made by considering quantum information theory. …
-
Estimating the Hausdorff dimension
… properties of the usual estimator, the entropy estimator, are known. In addition, the entropy estimator is biased high when an inefficient net is used. This dissertation develops a new estimator, the relative entropy estimator, which is asymptotically unbiased and is consistent. The …
-
Convex Relaxations: Beyond Polynomials, Splitting Methods and Average Case Analysis
… as a nonconvex optimisation problem involving an entropy-like objective function. We demonstrate that it is possible to apply techniques from sum-of-squares programming to these problems. The main obstacle is that sum-of-squares relaxations only work on *polynomial* optimisation problems. We show …
-
Binary classification with training under both classes
… is restricted to be ``far'' in the sense of relative entropy. Binary classification problems arise in applications where a full probabilistic model of either of the processes is absent and pre-classified samples from both of the processes are available. It is known that asymptotic optimality …
-
On defect CFT and path integral methods for entanglement in quantum field theories
… the second order shape dependence of Renyi entropy. We introduce defect CFT methods for calculating correlation functions involving the modular Hamiltonian together with probe operators inserted at lightcone separation. We use these methods to further calculate correlation functions …
-
Deterministic and Stochastic Approaches to Relaxation to Equilibrium for Particle Systems
… We also look at showing hypocoercivity in relative entropy. In his seminal work work on hypocoercivity Villani obtained results on hypocoercivity in relative entropy for the kinetic Fokker-Planck equation. We review this and subsequent work on hypocoercivity in relative entropy which is …
-
On the Topic of Portfolio Optimization
This dissertation explores the use of information entropy as a risk measure for the purpose of investment portfolio optimization and selection. First, we present an improved method of applying entropy as a risk in portfolio optimization. A new family of portfolio optimization problems called the …
-
Quantum Entanglement: Geometric Quantification and Applications to Multi-Partite States and Quantum Phase Transitions
… witnesses, correlation functions, and the relative entropy of entanglement.
-
Quantum Entanglement: Geometric Quantification and Applications to Multi-partite States and Quantum Phase Transitions
… witnesses, correlation functions, and the relative entropy of entanglement.
Page 1 of 3