2,237 research outputs found

    UMSL Bulletin 2023-2024

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    The 2023-2024 Bulletin and Course Catalog for the University of Missouri St. Louis.https://irl.umsl.edu/bulletin/1088/thumbnail.jp

    Analysis and Design of Non-Orthogonal Multiple Access (NOMA) Techniques for Next Generation Wireless Communication Systems

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    The current surge in wireless connectivity, anticipated to amplify significantly in future wireless technologies, brings a new wave of users. Given the impracticality of an endlessly expanding bandwidth, there’s a pressing need for communication techniques that efficiently serve this burgeoning user base with limited resources. Multiple Access (MA) techniques, notably Orthogonal Multiple Access (OMA), have long addressed bandwidth constraints. However, with escalating user numbers, OMA’s orthogonality becomes limiting for emerging wireless technologies. Non-Orthogonal Multiple Access (NOMA), employing superposition coding, serves more users within the same bandwidth as OMA by allocating different power levels to users whose signals can then be detected using the gap between them, thus offering superior spectral efficiency and massive connectivity. This thesis examines the integration of NOMA techniques with cooperative relaying, EXtrinsic Information Transfer (EXIT) chart analysis, and deep learning for enhancing 6G and beyond communication systems. The adopted methodology aims to optimize the systems’ performance, spanning from bit-error rate (BER) versus signal to noise ratio (SNR) to overall system efficiency and data rates. The primary focus of this thesis is the investigation of the integration of NOMA with cooperative relaying, EXIT chart analysis, and deep learning techniques. In the cooperative relaying context, NOMA notably improved diversity gains, thereby proving the superiority of combining NOMA with cooperative relaying over just NOMA. With EXIT chart analysis, NOMA achieved low BER at mid-range SNR as well as achieved optimal user fairness in the power allocation stage. Additionally, employing a trained neural network enhanced signal detection for NOMA in the deep learning scenario, thereby producing a simpler signal detection for NOMA which addresses NOMAs’ complex receiver problem

    UMSL Bulletin 2022-2023

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    The 2022-2023 Bulletin and Course Catalog for the University of Missouri St. Louis.https://irl.umsl.edu/bulletin/1087/thumbnail.jp

    Learning and Control of Dynamical Systems

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    Despite the remarkable success of machine learning in various domains in recent years, our understanding of its fundamental limitations remains incomplete. This knowledge gap poses a grand challenge when deploying machine learning methods in critical decision-making tasks, where incorrect decisions can have catastrophic consequences. To effectively utilize these learning-based methods in such contexts, it is crucial to explicitly characterize their performance. Over the years, significant research efforts have been dedicated to learning and control of dynamical systems where the underlying dynamics are unknown or only partially known a priori, and must be inferred from collected data. However, much of these classical results have focused on asymptotic guarantees, providing limited insights into the amount of data required to achieve desired control performance while satisfying operational constraints such as safety and stability, especially in the presence of statistical noise. In this thesis, we study the statistical complexity of learning and control of unknown dynamical systems. By utilizing recent advances in statistical learning theory, high-dimensional statistics, and control theoretic tools, we aim to establish a fundamental understanding of the number of samples required to achieve desired (i) accuracy in learning the unknown dynamics, (ii) performance in the control of the underlying system, and (iii) satisfaction of the operational constraints such as safety and stability. We provide finite-sample guarantees for these objectives and propose efficient learning and control algorithms that achieve the desired performance at these statistical limits in various dynamical systems. Our investigation covers a broad range of dynamical systems, starting from fully observable linear dynamical systems to partially observable linear dynamical systems, and ultimately, nonlinear systems. We deploy our learning and control algorithms in various adaptive control tasks in real-world control systems and demonstrate their strong empirical performance along with their learning, robustness, and stability guarantees. In particular, we implement one of our proposed methods, Fourier Adaptive Learning and Control (FALCON), on an experimental aerodynamic testbed under extreme turbulent flow dynamics in a wind tunnel. The results show that FALCON achieves state-of-the-art stabilization performance and consistently outperforms conventional and other learning-based methods by at least 37%, despite using 8 times less data. The superior performance of FALCON arises from its physically and theoretically accurate modeling of the underlying nonlinear turbulent dynamics, which yields rigorous finite-sample learning and performance guarantees. These findings underscore the importance of characterizing the statistical complexity of learning and control of unknown dynamical systems.</p

    Subjective Excess: Aesthetics, Character, and Non-Normative Perspectives in Serial Television After 2000

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    This dissertation aims to fill gaps in contemporary television scholarship with regards to aesthetics and character subjectivity. By analyzing eight series that have all aired after 2000, there is a marked trend in series that use an excessive visual and aural style to not only differentiate themselves from other programming, but also to explore non-normative perspectives. Now more willing to explore previously taboo topics such as mental health, addiction, illness, and trauma, the shows featured in this dissertation show how a seemingly excessive televisual aesthetic works with television’s seriality to create narrative complexity and generate character development. Chapters are arranged by mode of production with the first chapter focusing on the series Grey’s Anatomy and Hannibal as a means of exploring the production and distribution practices surrounding network TV. The second chapter examines the basic cable series Crazy Ex-Girlfriend and Legion and posits how the narrowcasting of cable allows for more nuanced character representations through aesthetics. In the third chapter, the impact HBO has had on the television medium is explored through Carnivàle and Euphoria. The final chapter looks at contemporary series The Boys and Unbreakable Kimmy Schmidt as a way to better understand how the medium’s production and distribution has shifted during the convergence era. Ultimately, this dissertation will argue that in addition to further explorations of aesthetics, television studies is in need of a medium specific vernacular for creating meaningful textual analyses that avoid an overreliance on cinematic terminology

    Complex systems methods characterizing nonlinear processes in the near-Earth electromagnetic environment: recent advances and open challenges

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    Learning from successful applications of methods originating in statistical mechanics, complex systems science, or information theory in one scientific field (e.g., atmospheric physics or climatology) can provide important insights or conceptual ideas for other areas (e.g., space sciences) or even stimulate new research questions and approaches. For instance, quantification and attribution of dynamical complexity in output time series of nonlinear dynamical systems is a key challenge across scientific disciplines. Especially in the field of space physics, an early and accurate detection of characteristic dissimilarity between normal and abnormal states (e.g., pre-storm activity vs. magnetic storms) has the potential to vastly improve space weather diagnosis and, consequently, the mitigation of space weather hazards. This review provides a systematic overview on existing nonlinear dynamical systems-based methodologies along with key results of their previous applications in a space physics context, which particularly illustrates how complementary modern complex systems approaches have recently shaped our understanding of nonlinear magnetospheric variability. The rising number of corresponding studies demonstrates that the multiplicity of nonlinear time series analysis methods developed during the last decades offers great potentials for uncovering relevant yet complex processes interlinking different geospace subsystems, variables and spatiotemporal scales

    Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab

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    This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the Wigner transform of the wave solution. These radiative transfer equations allow to model the transport of wave energy density, taking into account the scattering by random heterogeneities. The approach builds on the method of images, where the slab is extended to a full-space, with a periodic map of mechanical properties and a series of sources located along a periodic pattern. Two types of boundary effects, both on the (small) scale of the wavelength, are observed: one at the boundaries of the slab, and one inside the domain. The former impact the entire energy density (coherent as well as incoherent) and is also observed in half-spaces. The latter, more specific to slabs, corresponds to the constructive interference of waves that have reflected at least twice on the boundaries of the slab and only impacts the coherent part of the energy density.Comment: 7 figure

    Limit Theory under Network Dependence and Nonstationarity

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    These lecture notes represent supplementary material for a short course on time series econometrics and network econometrics. We give emphasis on limit theory for time series regression models as well as the use of the local-to-unity parametrization when modeling time series nonstationarity. Moreover, we present various non-asymptotic theory results for moderate deviation principles when considering the eigenvalues of covariance matrices as well as asymptotics for unit root moderate deviations in nonstationary autoregressive processes. Although not all applications from the literature are covered we also discuss some open problems in the time series and network econometrics literature.Comment: arXiv admin note: text overlap with arXiv:1705.08413 by other author

    Circulation Statistics in Homogeneous and Isotropic Turbulence

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    This is the committee version of a Thesis presented to the PostGrad Program in Physics of the Physics Institute of the Federal University of Rio de Janeiro (UFRJ), as a necessary requirement for the title of Ph.D. in Science (Physics). The development of the Vortex Gas Model (VGM) introduces a novel statistical framework for describing the characteristics of velocity circulation. In this model, the underlying foundations rely on the statistical attributes of two fundamental constituents. The first is a GMC field that governs intermittent behavior and the second constituent is a Gaussian Free field responsible for the partial polarization of the vortices in the gas. The model is revisited in a more sophisticated language, where volume exclusion among vortices is addressed. These additions were subsequently validated through numerical simulations of turbulent Navier-Stokes equations. This revised approach harmonizes with the multifractal characteristics exhibited by circulation statistics, offering a compelling elucidation for the phenomenon of linearization of the statistical circulation moments, observed in recent numerical simulation. In the end, a field theoretical approach, known as Martin-Siggia-Rose-Janssen-de Dominicis (MSRJD) functional method is carried out in the context of circulation probability density function. This approach delves into the realm of extreme circulation events, often referred to as Instantons, through two distinct methodologies: The First investigates the linear solutions and, by a renormalization group argument a time-rescaling symmetry is discussed. Secondly, a numerical strategy is implemented to tackle the nonlinear instanton equations in the axisymmetric approximation. This approach addresses the typical topology exhibited by the velocity field associated with extreme circulation events.Comment: Ph.D. Thesis - preliminary versio

    Essays on Portfolio Risk Management and Weather Derivatives

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    Denne avhandlingen handler om utvikling og praktisk implementering av risikostyringsmetoder for investeringsporteføljer, energiporteføljer, og håndtering av vær- og forurensningsrisiko. Avhandlingen inkluderer tre vitenskapelige artikler som hver tar for seg ulike aspekter av finansiell risikostyring. Den første fokuserer på metoder for aktivaallokering når det eksisterer asymmetrisk avhengighet mellom avkastningene for eiendelene i en investeringsportefølje. Den andre artikkelen omhandler energiprisrisikostyring, og introduserer et åpen kildekodeverktøy for energiporteføljeforvaltning som er utviklet som en del av doktorgradsprosjektet. Den siste artikkelen presenterer et teoretisk rammeverk for håndtering av forurensningsrisiko ved hjelp av finansielle derivatkontrakter, som bygger på den eksisterende teorien om værderivater. Disse arbeidene bidrar alle til det overordnede temaet for avhandlingen, som er utvikling av risikostyringsmetoder for ulike typer porteføljer og utforskingen av rollen til finansielle derivater i håndtering av risiko knyttet til markedspriser, vær og forurensning. For å sette bidragene inn i en teoretisk kontekst har vi inkludert et kort kapittel som presenterer alternative metoder for avhengighetsmodellering, og hvordan disse kan utnyttes når man forvalter investeringsporteføljer. Ett av disse målene, lokal gaussisk korrelasjon, brukes til å utvide det klassiske mean-variance-rammeverket for aktivaallokering i den første artikkelen. Deretter følger et kort introduksjonskapittel til spot- og forwardmarkeder for energi. Hovedfokuset her er råvareprisrisiko, og hvordan denne kan håndteres med finansielle derivatkontrakter. Vi demonstrerer hvordan forvaltning av energiporteføljer kan gjennomføres med vårt åpen kildekodeverktøy ved bruk av data fra det europeiske kraftmarkedet. Til slutt inkluderes et kapittel om værderivater. Dette inneholder en introduksjon til værrelatert risiko, en kort introduksjon til værmarkedet, vanlige kontraktstyper og alternative metoder for prising. For å sikre reproduserbarhet har vi også lagt til et kapittel om programkode. Her finnes lenker til Git-repositorier med alle data og R-kode for å gjennomføre analysene som presenteres i avhandlingen.This thesis is concerned with the development and practical implementation of risk management methods for investment portfolios, energy portfolios, and weather and pollution risk. The thesis includes three scientific papers that each address different aspects of financial risk management. The first paper focuses on portfolio allocation in the presence of asymmetric dependence between asset returns. The second paper examines energy price risk management, and introduces an open source toolkit for energy portfolio management which has been developed as a part of the PhD project. The final paper present a theoretical framework for managing pollution risk using financial derivatives contracts, which builds upon the existing theory of weather derivatives. These papers all contribute to the overall theme, which is the development of risk management methods for various types of portfolios and the exploration of the role of financial derivatives in managing risks related to market prices, weather and pollution. In order to provide a theoretical context, we have included a brief chapter exploring alternative methods for dependence modelling and how these may be utilized when managing investment portfolios. One of these measures, the local Gaussian correlation, is used to extend the classical mean-variance framework for asset allocation in the first paper. Thereafter, a short introduction to spot and forward energy markets is provided. The primary focus here is commodity market price risk, and how this can be managed with financial derivatives contracts. We demonstrate how portfolio management may be performed with our open source toolkit using European energy market data. Finally, we include a chapter on weather derivatives. This contains a introduction to weather related risk, a brief introduction to the weather markets, frequently used contract types and pricing methods. To ensure reproducibility, we have also added a chapter on computer code, where the interested reader may find links to Git repositories with all data and the R code needed to run the analysis presented in the thesis.Doktorgradsavhandlin
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