No abstract available. / Thesis (M.A.)-University of KwaZulu-Natal, Durban, 2011.

This dissertation is devoted to studying a fast and analytic approximation method, called the variational Bayesian (VB) method, and aims to give insight into its general applicability and usefulness, and explore its applications to various real-world problems. This work has three main foci: 1) The general applicability and properties; 2) Diagnostics for VB approximations; 3) Variational applications. Generally, the variational inference has been developed in the context of the exponential family, which is open to further development. First, it usually consider the cases in the context of the conjugate exponential family. Second, the variational inferences are developed only with respect to natural parameters, which are often not the parameters of immediate interest. Moreover, the full factorization, which assumes all terms to be independent of one another, is the most commonly used scheme in the most of the variational applications. We show that VB inferences can be extended to a more general situation. We propose a special parameterization for a parametric family, and also propose a factorization scheme with a more general dependency structure than is traditional in VB. Based on these new frameworks, we develop a variational formalism, in which VB has a fast implementation, and not be limited to the conjugate exponential setting. We also investigate its local convergence property, the effects of choosing different priors, and the effects of choosing different factorization scheme. The essence of the VB method relies on making simplifying assumptions about the posterior dependence of a problem. By definition, the general posterior dependence structure is distorted. In addition, in the various applications, we observe that the posterior variances are often underestimated. We aim to develop diagnostics test to assess VB approximations, and these methods are expected to be quick and easy to use, and to require no sophisticated tuning expertise. We propose three methods to compute the actual posterior covariance matrix by only using the knowledge obtained from VB approximations: 1) To look at the joint posterior distribution and attempt to find an optimal affine transformation that links the VB and true posteriors; 2) Based on a marginal posterior density approximation to work in specific low dimensional directions to estimate true posterior variances and correlations; 3) Based on a stepwise conditional approach, to construct and solve a set of system of equations that lead to estimates of the true posterior variances and correlations. A key computation in the above methods is to calculate a uni-variate marginal or conditional variance. We propose a novel way, called the VB Adjusted Independent Metropolis-Hastings (VBAIMH) method, to compute these quantities. It uses an independent Metropolis-Hastings (IMH) algorithm with proposal distributions configured by VB approximations. The variance of the target distribution is obtained by monitoring the acceptance rate of the generated chain. One major question associated with the VB method is how well the approximations can work. We particularly study the mean structure approximations, and show how it is possible using VB approximations to approach model selection tasks such as determining the dimensionality of a model, or variable selection. We also consider the variational application in Bayesian nonparametric modeling, especially for the Dirichlet process (DP). The posterior inference for DP has been extensively studied in the context of MCMC methods. This work presents a a full variational solution for DP with non-conjugate settings. Our solution uses a truncated stick-breaking representation. We propose an empirical method to determine the number of distinct components in a finite dimensional DP. The posterior predictive distribution for DP is often not available in a closed form. We show how to use the variational techniques to approximate this quantity. As a concrete application study, we work through the VB method on regime-switching lognormal models and present solutions to quantify both the uncertainty in the parameters and model specification. Through a series numerical comparison studies with likelihood based methods and MCMC methods on the simulated and real data sets, we show that the VB method can recover exactly the model structure, gives the reasonable point estimates, and is very computationally efficient.

Title supplied by cataloguer from accompanying Statement of submission. / Includes bibliographical references (p. 451-467) and index. / Has accompanying Statement of submission letter and application for candidature which includes a list of other publications by the author and details of works proposed for the submission. / 2 v. : / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Published texts submitted for doctorate are in French. / Thesis (D.Litt.)--University of Adelaide, School of Humanities, Discipline of European Studies and Linguistics, 2006

In 1993, American percussionist and composer B. Michael Williams published Four Solos for Frame Drums. This collection is considered the first work written exclusively for solo frame drum in Western notation. Williams primarily modeled his solos around traditional rhythms and techniques from Middle Eastern musical traditions as well as Glen Velez's virtuosic style of playing frame drums. He also drew influence from the music of South India and Sub-Saharan Africa. Williams intentionally combines the aforementioned elements as a means to expose his students and audience members to the music and drumming of these regions. The purpose of this paper is to provide a detailed analysis of select compositions for solo frame drum by B. Michael Williams in order to assist future performers in making well-informed interpretive decisions. The analysis will highlight the compositional style, structural components, technical demands and important performance considerations of four pieces by Williams: Quatrinity, Etude in Arabic Rhythms, Another New Riq and Rhythmic Journey no. 1: (From Conakry to Harare).

<p> Despite the continuous breeding efforts towards improving yield, seed quality, and yield-related traits, there is still little understanding of several aspects of soybean breeding; however, crop breeding is ever-evolving, and plant breeding technologies offer immense potential for accelerating genetic improvement in soybeans. This thesis explores different frameworks to further characterize tradeoffs among seed quality traits, soybean maturity's genetic architecture, and selections for yield. We explored the interactions of carbohydrate traits with other seed traits, flowering, and maturity using data from a large panel of <em>G. max </em>accessions from the USDA soybean germplasm collection. We found a negative correlation between sucrose and protein and a negative correlation between protein and oil, representing a significant challenge for improving seed quality. In contrast to other well-documented correlations, such as protein and oil, correlations between raffinose and oil content seem more specific to populations and environments and are unlikely to generalize to the whole specie; however, the correlations of sucrose with protein and seed size appears to be more stable. In addition, we performed a genome-wide association analysis (GWA) to detect novel QTLs for flowering (R1) time, maturity (R8) time, and reproductive length (RL) using a soybean panel with the same genotype for major <em>E </em>genes (<em>e1-as/E2/E3). </em>While major maturity <em>E</em> genes are known to have pleiotropic effects on R1 and R8, we found two QTLs associated with R8 and RL that do not control R1, suggesting minor-effect, trait-specific loci are also involved in controlling R1 and R8. In addition, w<em>e identified six genes that may play essential roles in regulating R1, R8, and RL; however, further validation of the QTLs and f</em>ine mapping and map-based cloning studies of the candidate genes are necessary before they can be used in breeding programs. Lastly, we conducted a selection experiment in progeny row (PR) populations of four breeding programs to compare the agronomic performance of lines selected by breeders using their usual selection methods to lines selected through prediction of yield performance using new sources of data and information. Our results suggest that aerial average canopy coverage (ACC) used as a secondary trait in combination with field spatial variation adjustment is an efficient high throughput methodology to effectively select high-yielding lines from non-replicated experiments at the PR stage. </p>

The following thesis comprises a systematic, synchronic study of the term בְּרִית (berîṯ, covenant) in the book of Daniel, the Damascus Document, the Community Rule (Serekhha- Yaḥad), the Hymn Scroll (Hodayot) and the War Scroll (Milḥamah). The basic text used for Daniel is the BHS, and for the Dead Sea Scrolls the Dead Sea Scrolls Electronic Library, supplemented by other editions. Apart from an introduction (chapter 1), the work is divided into two sections. The second chapter begins with a discussion of some introductory matters, such as the dating and purpose of the book of Daniel. The remainder of the chapter comprises two subsections, consisting firstly of an exegesis of Daniel 9 and secondly an exposition of Daniel 10-12 with particular reference to covenant terminology. The prayer in Daniel 9 is given much space since it is replete with covenant language, though the word בְּרִית only occurs at Daniel 9:4. The main focus of the second subsection is the vision report in Daniel 11, with particular emphasis on Daniel 11:20-45 where the word בְּרִית occurs. The third chapter contains four subsections, each giving an exegesis of those parts of the Damascus Document, Community Rule, Hymn Scroll and War Scroll where the term בְּרִית occurs. Each subsection is preceded by a brief introduction to the scroll concerned, looking at such issues as the provenance and dating of the scroll without going into too much detail, and followed by a conclusion, summarising the findings in each section. While such issues as the nature of the community represented by each scroll are mentioned where appropriate, they do not form a major emphasis in this study. Throughout, particular prominence is given to specific terminology used in order to determine the authors’ theological emphases. A few terms that are related to ,בְּרִית ‘covenant’, such as חֶסֶד (ḥeseḏ ‘mercy, lovingkindness’), אָהָב (’āhāḇ; [covenant] love), אָלָה (’ālāh; ‘curse, oath’), are also included in this study at the relevant places. The conclusion (chapter 4) draws together the findings of all sections and seeks to compare the terminology used in Daniel with that of the Dead Sea Scrolls. / Old Testament & Ancient Near Eastern Studies / D. Th. (Old Testament)

The following thesis comprises a systematic, synchronic study of the term בְּרִית (berîṯ, covenant) in the book of Daniel, the Damascus Document, the Community Rule (Serekhha- Yaḥad), the Hymn Scroll (Hodayot) and the War Scroll (Milḥamah). The basic text used for Daniel is the BHS, and for the Dead Sea Scrolls the Dead Sea Scrolls Electronic Library, supplemented by other editions. Apart from an introduction (chapter 1), the work is divided into two sections. The second chapter begins with a discussion of some introductory matters, such as the dating and purpose of the book of Daniel. The remainder of the chapter comprises two subsections, consisting firstly of an exegesis of Daniel 9 and secondly an exposition of Daniel 10-12 with particular reference to covenant terminology. The prayer in Daniel 9 is given much space since it is replete with covenant language, though the word בְּרִית only occurs at Daniel 9:4. The main focus of the second subsection is the vision report in Daniel 11, with particular emphasis on Daniel 11:20-45 where the word בְּרִית occurs. The third chapter contains four subsections, each giving an exegesis of those parts of the Damascus Document, Community Rule, Hymn Scroll and War Scroll where the term בְּרִית occurs. Each subsection is preceded by a brief introduction to the scroll concerned, looking at such issues as the provenance and dating of the scroll without going into too much detail, and followed by a conclusion, summarising the findings in each section. While such issues as the nature of the community represented by each scroll are mentioned where appropriate, they do not form a major emphasis in this study. Throughout, particular prominence is given to specific terminology used in order to determine the authors’ theological emphases. A few terms that are related to ,בְּרִית ‘covenant’, such as חֶסֶד (ḥeseḏ ‘mercy, lovingkindness’), אָהָב (’āhāḇ; [covenant] love), אָלָה (’ālāh; ‘curse, oath’), are also included in this study at the relevant places. The conclusion (chapter 4) draws together the findings of all sections and seeks to compare the terminology used in Daniel with that of the Dead Sea Scrolls. / Biblical and Ancient Studies / D. Th. (Old Testament)

Continuing the discussion of interpreting J. S. Bach's lute music on the guitar, this dissertation seeks to demonstrate that Schenkerian analysis can assist the modern classical guitarist to better understand Bach's music. In particular, the Schenkerian approach provides an important methodology for studying Bach's music in depth, and then guiding performance practice on the guitar. Although there are many books and articles about transcribing, interpreting and performing Bach's music on the guitar, they do not apply Schenkerian analysis to guitar performance. This research will fill in the lacuna in this field, while promoting music scholarship and enhancing the performance practice of classical guitarists.

Includes bibliographical references (leaves 119-131) / Text in English with summaries in English and Afrikaans / There are certain influences from the eighteenth and nineteenth century English and German romantic Zeitgeist that can be discerned in Hans Christian Andersen’s fairy tales. The role of the imagination stands out as a particularly dominant notion of the romantic period as opposed to the emphasis on reason during the Enlightenment. It is this romantic influence that Andersen’s tales especially exemplify. For him the imagination is transcendent – one can overcome the mystery and hardship of an earthly existence by recasting situations imaginatively and one can even be elevated to a higher, spiritual realm by its power. The transcendent power of the imagination is best understood by viewing it through the lens of negative capability, a concept put forward by romantic poet, John Keats. The concept implies an “imaginative openness” to what is, which allows one to tolerate life’s uncertainties and the inexplicable suffering that forms part of one’s earthly existence by using the imagination to open up new potential within trying circumstances. In selected fairy tales, Andersen’s child protagonists transcend their circumstances by the power of their imagination. In other tales, nature is instrumental in this imaginative transcendence. The natural world conveys spiritual truths and has a moralising influence on the characters, bringing them closer to the Ultimate Creator. This follows the philosophy of German Naturphilosophie, as well as that of English romantics like Coleridge and Wordsworth, for whom nature functions as a portal to the spiritual world. The concept of the “sublime” underpins this philosophy. If nature is viewed through an imaginative, instead of an empirical lens, it becomes the means by which the temporal world can be transcended. It is a message of hope and as such is in keeping with Andersen’s self professed calling as visionary who uses his art to uplift mankind. In this he is the ultimate romantic hero or outsider who, while standing on the periphery of society, observes its shortcomings and feels called upon to show the way to a better world. / Sekere invloede van agtiende- en negentiende eeuse Engelse en Duitse romantisisme kan in Hans Christian Andersen se feëverhale bespeur word. Veral die rol van die verbeelding staan uit as ‘n dominante invloed van romantisisme, in teenstelling met die laat sewentien- en vroeë agtiende eeuse fokus op rasionaliteit. Dit is hierdie romantiese invloed wat Andersen se verhale veral versinnebeeld. Vir hom is die verbeelding transendentaal – ‘n mens kan die misterie en swaarkry van jou aardse bestaan oorkom deur situasies deur die oog van die verbeelding te bejeën en kan selfs deur die mag van die verbeelding opgehef word na ‘n hoër, meer spirituele vlak. Die transendentale mag van die verbeelding kan beter begryp word wanneer dit deur die lens van “negative capability” gesien word. Hierdie konsep is deur die romantiese digter, John Keats, voorgestel. Die konsep impliseer ‘n verbeeldingryke openheid in die aangesig van aardse onsekerheid en swaarkry, wat die mens uiteindelik in staat stel om nuwe potensiaal in moeilike omstandighede raak te sien. In uitgekose feëverhale, oorkom Andersen se kinderprotagoniste hul moeilike omstandighede deur die mag van die verbeelding. In ander verhale is die natuur deurslaggewend in dié transendentale verbeeldingsreis. Nie net dra die natuur geestelike waarhede oor nie, maar dit het ook ‘n moraliserende invloed op die karakters, wat hulle nader aan ‘n Opperwese bring. Dit herinner aan die Duitse Naturphilosophie, asook die sienswyse van Engelse romantikusse soos Coleridge en Wordsworth, vir wie die natuur ‘n deurgangsroete na die geestelike wêreld is. Die idee van die “sublime” is onderliggend aan hierdie filosofie. As die natuur deur middel van die verbeeldingslens, in plaas van deur ‘n empiriese lens bejeën word, kan dit ‘n manier word om die aardse te oorkom. Dit is dus ‘n boodskap van hoop wat in lyn is met Andersen se selfopgelegde taak as profeet wat sy kuns gebruik om die mensdom op te hef. In hierdie opsig is hy die absolute romantiese held of buitestaander, wat, ofskoon hy aan die buitewyke van die samelewing staan, tóg tekortkominge raaksien en geroepe voel om die weg na ‘n beter wêreld te wys. / English Studies / M.A. (English)

Based on a broad survey of the reception of Firdausī’s Shāhnāma in medieval times, this dissertation argues that Firdausī’s oeuvre was primarily perceived as a book of wisdom and advice for kings and courtly élites. The medieval reception of the Shāhnāma is clearly manifested in the comments of medieval authors about Firdausī and his work, and in their use of the Shāhnāma in the composition of their own works. The production of ikhtiyārāt-i Shāhnāmas (selections from the Shāhnāma) in medieval times and the remarkable attention of the authors of mirrors for princes to Firdausī’s opus are particularly illuminating in this regard. The survey is complemented by a close textual reading of the Ardashīr cycle in the Shāhnāma in comparison with other medieval historical accounts about Ardashīr, in order to illustrate how history in the Shāhnāma is reduced to only a framework for the presentation of ideas and ideals of kingship. Based on ancient Persian beliefs regarding the ideal state of the world, I argue that Ardashīr in the Shāhnāma is represented as a Saviour of the world. Within this context, I offer new interpretations of the symbolic tale of Ardashīr’s fight against a giant worm, and explain why the idea of the union of kingship and religion, a major topic in almost all medieval Persian mirrors for princes, has often been attributed to Ardashīr. Finally, I compare the Ardashīr cycle in the Shāhnāma with nine medieval Persian mirrors for princes to demonstrate that the ethico-political concepts contained in them, as well as the portrayal of Ardashīr, remain more or less the same in all these works. Study of the Shāhnāma as a mirror for princes, as this study shows, not only reveals the meaning of its symbolic tales, but also sheds light on the pre-Islamic roots of some of the ethico-political concepts presented in the medieval Perso-Islamic literature of wisdom and advice for kings and courtiers.