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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
131

Dimension Flexible and Adaptive Statistical Learning

Khowaja, Kainat 02 March 2023 (has links)
Als interdisziplinäre Forschung verbindet diese Arbeit statistisches Lernen mit aktuellen fortschrittlichen Methoden, um mit hochdimensionalität und Nichtstationarität umzugehen. Kapitel 2 stellt Werkzeuge zur Verfügung, um statistische Schlüsse auf die Parameterfunktionen von Generalized Random Forests zu ziehen, die als Lösung der lokalen Momentenbedingung identifiziert wurden. Dies geschieht entweder durch die hochdimensionale Gaußsche Approximationstheorie oder durch Multiplier-Bootstrap. Die theoretischen Aspekte dieser beiden Ansätze werden neben umfangreichen Simulationen und realen Anwendungen im Detail diskutiert. In Kapitel 3 wird der lokal parametrische Ansatz auf zeitvariable Poisson-Prozesse ausgeweitet, um ein Instrument zur Ermittlung von Homogenitätsintervallen innerhalb der Zeitreihen von Zähldaten in einem nichtstationären Umfeld bereitzustellen. Die Methodik beinhaltet rekursive Likelihood-Ratio-Tests und hat ein Maximum in der Teststatistik mit unbekannter Verteilung. Um sie zu approximieren und den kritischen Wert zu finden, verwenden wir den Multiplier-Bootstrap und demonstrieren den Nutzen dieses Algorithmus für deutsche M\&A Daten. Kapitel 4 befasst sich mit der Erstellung einer niedrigdimensionalen Approximation von hochdimensionalen Daten aus dynamischen Systemen. Mithilfe der Resampling-Methoden, der Hauptkomponentenanalyse und Interpolationstechniken konstruieren wir reduzierte dimensionale Ersatzmodelle, die im Vergleich zu den ursprünglichen hochauflösenden Modellen schnellere Ausgaben liefern. In Kapitel 5 versuchen wir, die Verteilungsmerkmale von Kryptowährungen mit den von ihnen zugrunde liegenden Mechanismen zu verknüpfen. Wir verwenden charakteristikbasiertes spektrales Clustering, um Kryptowährungen mit ähnlichem Verhalten in Bezug auf Preis, Blockzeit und Blockgröße zu clustern, und untersuchen diese Cluster, um gemeinsame Mechanismen zwischen verschiedenen Krypto-Clustern zu finden. / As an interdisciplinary research, this thesis couples statistical learning with current advanced methods to deal with high dimensionality and nonstationarity. Chapter 2 provides tools to make statistical inference (uniformly over covariate space) on the parameter functions from Generalized Random Forests identified as the solution of the local moment condition. This is done by either highdimensional Gaussian approximation theorem or via multiplier bootstrap. The theoretical aspects of both of these approaches are discussed in detail alongside extensive simulations and real life applications. In Chapter 3, we extend the local parametric approach to time varying Poisson processes, providing a tool to find intervals of homogeneity within the time series of count data in a nonstationary setting. The methodology involves recursive likelihood ratio tests and has a maxima in test statistic with unknown distribution. To approximate it and find the critical value, we use multiplier bootstrap and demonstrate the utility of this algorithm on German M\&A data. Chapter 4 is concerned with creating low dimensional approximation of high dimensional data from dynamical systems. Using various resampling methods, Principle Component Analysis, and interpolation techniques, we construct reduced dimensional surrogate models that provide faster responses as compared to the original high fidelity models. In Chapter 5, we aim to link the distributional characteristics of cryptocurrencies to their underlying mechanism. We use characteristic based spectral clustering to cluster cryptos with similar behaviour in terms of price, block time, and block size, and scrutinize these clusters to find common mechanisms between various crypto clusters.
132

Well-Formed and Scalable Invasive Software Composition / Wohlgeformte und Skalierbare Invasive Softwarekomposition

Karol, Sven 26 June 2015 (has links) (PDF)
Software components provide essential means to structure and organize software effectively. However, frequently, required component abstractions are not available in a programming language or system, or are not adequately combinable with each other. Invasive software composition (ISC) is a general approach to software composition that unifies component-like abstractions such as templates, aspects and macros. ISC is based on fragment composition, and composes programs and other software artifacts at the level of syntax trees. Therefore, a unifying fragment component model is related to the context-free grammar of a language to identify extension and variation points in syntax trees as well as valid component types. By doing so, fragment components can be composed by transformations at respective extension and variation points so that always valid composition results regarding the underlying context-free grammar are yielded. However, given a language’s context-free grammar, the composition result may still be incorrect. Context-sensitive constraints such as type constraints may be violated so that the program cannot be compiled and/or interpreted correctly. While a compiler can detect such errors after composition, it is difficult to relate them back to the original transformation step in the composition system, especially in the case of complex compositions with several hundreds of such steps. To tackle this problem, this thesis proposes well-formed ISC—an extension to ISC that uses reference attribute grammars (RAGs) to specify fragment component models and fragment contracts to guard compositions with context-sensitive constraints. Additionally, well-formed ISC provides composition strategies as a means to configure composition algorithms and handle interferences between composition steps. Developing ISC systems for complex languages such as programming languages is a complex undertaking. Composition-system developers need to supply or develop adequate language and parser specifications that can be processed by an ISC composition engine. Moreover, the specifications may need to be extended with rules for the intended composition abstractions. Current approaches to ISC require complete grammars to be able to compose fragments in the respective languages. Hence, the specifications need to be developed exhaustively before any component model can be supplied. To tackle this problem, this thesis introduces scalable ISC—a variant of ISC that uses island component models as a means to define component models for partially specified languages while still the whole language is supported. Additionally, a scalable workflow for agile composition-system development is proposed which supports a development of ISC systems in small increments using modular extensions. All theoretical concepts introduced in this thesis are implemented in the Skeletons and Application Templates framework SkAT. It supports “classic”, well-formed and scalable ISC by leveraging RAGs as its main specification and implementation language. Moreover, several composition systems based on SkAT are discussed, e.g., a well-formed composition system for Java and a C preprocessor-like macro language. In turn, those composition systems are used as composers in several example applications such as a library of parallel algorithmic skeletons.

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