Optimal uncertainty quantification via convex optimization and relaxation

Many engineering applications face the problem of bounding the expected value of a quantity of interest (performance, risk, cost, etc.) that depends on stochastic uncertainties whose probability distribution is not known exactly. Optimal uncertainty quantification (OUQ) is a framework that aims at obtaining the best bound in these situations by explicitly incorporating available information about the distribution. Unfortunately, this often leads to non-convex optimization problems that are numerically expensive to solve.

This thesis emphasizes on efficient numerical algorithms for OUQ problems. It begins by investigating several classes of OUQ problems that can be reformulated as convex optimization problems. Conditions on the objective function and information constraints under which a convex formulation exists are presented. Since the size of the optimization problem can become quite large, solutions for scaling up are also discussed. Finally, the capability of analyzing a practical system through such convex formulations is demonstrated by a numerical example of energy storage placement in power grids.

When an equivalent convex formulation is unavailable, it is possible to find a convex problem that provides a meaningful bound for the original problem, also known as a convex relaxation. As an example, the thesis investigates the setting used in Hoeffding's inequality. The naive formulation requires solving a collection of non-convex polynomial optimization problems whose number grows doubly exponentially. After structures such as symmetry are exploited, it is shown that both the number and the size of the polynomial optimization problems can be reduced significantly. Each polynomial optimization problem is then bounded by its convex relaxation using sums-of-squares. These bounds are found to be tight in all the numerical examples tested in the thesis and are significantly better than Hoeffding's bounds.

Social saliency : visual psychophysics and single-neuron recordings in humans

My thesis studies how people pay attention to other people and the environment. How does the brain figure out what is important and what are the neural mechanisms underlying attention? What is special about salient social cues compared to salient non-social cues? In Chapter I, I review social cues that attract attention, with an emphasis on the neurobiology of these social cues. I also review neurological and psychiatric links: the relationship between saliency, the amygdala and autism. The first empirical chapter then begins by noting that people constantly move in the environment. In Chapter II, I study the spatial cues that attract attention during locomotion using a cued speeded discrimination task. I found that when the motion was expansive, attention was attracted towards the singular point of the optic flow (the focus of expansion, FOE) in a sustained fashion. The more ecologically valid the motion features became (e.g., temporal expansion of each object, spatial depth structure implied by distribution of the size of the objects), the stronger the attentional effects. However, compared to inanimate objects and cues, people preferentially attend to animals and faces, a process in which the amygdala is thought to play an important role. To directly compare social cues and non-social cues in the same experiment and investigate the neural structures processing social cues, in Chapter III, I employ a change detection task and test four rare patients with bilateral amygdala lesions. All four amygdala patients showed a normal pattern of reliably faster and more accurate detection of animate stimuli, suggesting that advantageous processing of social cues can be preserved even without the amygdala, a key structure of the “social brain”. People not only attend to faces, but also pay attention to others’ facial emotions and analyze faces in great detail. Humans have a dedicated system for processing faces and the amygdala has long been associated with a key role in recognizing facial emotions. In Chapter IV, I study the neural mechanisms of emotion perception and find that single neurons in the human amygdala are selective for subjective judgment of others’ emotions. Lastly, people typically pay special attention to faces and people, but people with autism spectrum disorders (ASD) might not. To further study social attention and explore possible deficits of social attention in autism, in Chapter V, I employ a visual search task and show that people with ASD have reduced attention, especially social attention, to target-congruent objects in the search array. This deficit cannot be explained by low-level visual properties of the stimuli and is independent of the amygdala, but it is dependent on task demands. Overall, through visual psychophysics with concurrent eye-tracking, my thesis found and analyzed socially salient cues and compared social vs. non-social cues and healthy vs. clinical populations. Neural mechanisms underlying social saliency were elucidated through electrophysiology and lesion studies. I finally propose further research questions based on the findings in my thesis and introduce my follow-up studies and preliminary results beyond the scope of this thesis in the very last section, Future Directions.

Spectroscopic investigations of inter- and intramolecular processes in crystalline benzene

I. Introductory Remarks

A brief discussion of the overall organization of the thesis is presented along with a discussion of the relationship between this thesis and previous work on the spectroscopic properties of benzene.

II. Radiationless Transitions and Line broadening

Radiationless rates have been calculated for the ³B_1u→¹A_1g transitions of benzene and perdeuterobenzene as well as for the ¹B_2u→¹A_1g transition of benzene. The rates were calculated using a model that considers the radiationless transition as a tunneling process between two multi-demensional potential surfaces and assuming both harmonic and anharmonic vibrational potentials. Whenever possible experimental parameters were used in the calculation. To this end we have obtained experimental values for the anharmonicities of the carbon-carbon and carbon-hydrogen vibrations and the size of the lowest triplet state of benzene. The use of the breakdown of the Born-Oppenheimer approximation in describing radiationless transitions is critically examined and it is concluded that Herzberg-Teller vibronic coupling is 100 times more efficient at inducing radiationless transitions.

The results of the radiationless transition rate calculation are used to calculate line broadening in several of the excited electronic states of benzene. The calculated line broadening in all cases is in qualitative agreement with experimental line widths.

III. ³B_1u←¹A_1g Absorption Spectra

The ³B_1u←¹A_1g absorption spectra of C₆H₆ and C₆D₆ at 4.2˚K have been obtained at high resolution using the phosphorescence photoexcitation method. The spectrum exhibits very clear evidence of a pseudo-Jahn-Teller distortion of the normally hexagonal benzene molecule upon excitation to the triplet state. Factor group splitting of the 0 – 0 and 0 – 0 + v exciton bands have also been observed. The position of the mean of the 0 – 0 exciton band of C₆H₆ when compared to the phosphorescence origin of a C₆H₆ guest in a C₆D₆ host crystal indicates that the “static” intermolecular interactions between guest and hose are different for C₆H₆ and C₆D₆. Further investigation of this difference using the currently accepted theory of isotopic mixed crystals indicates that there is a 2cm^-1 shift of the ideal mixed crystal level per hot deuterium atom. This shift is observed for both the singlet and triplet states of benzene.

IV. ³E_1u←¹A_1g, Absorption Spectra

The ³E_1u←¹A_1g absorption spectra of C₆H₆ and C₆D₆ at 4.2˚K have been obtained using the phosphorescence photoexcitation technique. In both cases the spectrum is broad and structureless as would be expected from the line broadening calculations.

Distributed Optimal Control of Cyber-Physical Systems: Controller Synthesis, Architecture Design and System Identification

The centralized paradigm of a single controller and a single plant upon which modern control theory is built is no longer applicable to modern cyber-physical systems of interest, such as the power-grid, software defined networks or automated highways systems, as these are all large-scale and spatially distributed. Both the scale and the distributed nature of these systems has motivated the decentralization of control schemes into local sub-controllers that measure, exchange and act on locally available subsets of the globally available system information. This decentralization of control logic leads to different decision makers acting on asymmetric information sets, introduces the need for coordination between them, and perhaps not surprisingly makes the resulting optimal control problem much harder to solve. In fact, shortly after such questions were posed, it was realized that seemingly simple decentralized optimal control problems are computationally intractable to solve, with the Wistenhausen counterexample being a famous instance of this phenomenon. Spurred on by this perhaps discouraging result, a concerted 40 year effort to identify tractable classes of distributed optimal control problems culminated in the notion of quadratic invariance, which loosely states that if sub-controllers can exchange information with each other at least as quickly as the effect of their control actions propagates through the plant, then the resulting distributed optimal control problem admits a convex formulation.

The identification of quadratic invariance as an appropriate means of "convexifying" distributed optimal control problems led to a renewed enthusiasm in the controller synthesis community, resulting in a rich set of results over the past decade. The contributions of this thesis can be seen as being a part of this broader family of results, with a particular focus on closing the gap between theory and practice by relaxing or removing assumptions made in the traditional distributed optimal control framework. Our contributions are to the foundational theory of distributed optimal control, and fall under three broad categories, namely controller synthesis, architecture design and system identification.

We begin by providing two novel controller synthesis algorithms. The first is a solution to the distributed H-infinity optimal control problem subject to delay constraints, and provides the only known exact characterization of delay-constrained distributed controllers satisfying an H-infinity norm bound. The second is an explicit dynamic programming solution to a two player LQR state-feedback problem with varying delays. Accommodating varying delays represents an important first step in combining distributed optimal control theory with the area of Networked Control Systems that considers lossy channels in the feedback loop. Our next set of results are concerned with controller architecture design. When designing controllers for large-scale systems, the architectural aspects of the controller such as the placement of actuators, sensors, and the communication links between them can no longer be taken as given -- indeed the task of designing this architecture is now as important as the design of the control laws themselves. To address this task, we formulate the Regularization for Design (RFD) framework, which is a unifying computationally tractable approach, based on the model matching framework and atomic norm regularization, for the simultaneous co-design of a structured optimal controller and the architecture needed to implement it. Our final result is a contribution to distributed system identification. Traditional system identification techniques such as subspace identification are not computationally scalable, and destroy rather than leverage any a priori information about the system's interconnection structure. We argue that in the context of system identification, an essential building block of any scalable algorithm is the ability to estimate local dynamics within a large interconnected system. To that end we propose a promising heuristic for identifying the dynamics of a subsystem that is still connected to a large system. We exploit the fact that the transfer function of the local dynamics is low-order, but full-rank, while the transfer function of the global dynamics is high-order, but low-rank, to formulate this separation task as a nuclear norm minimization problem. Finally, we conclude with a brief discussion of future research directions, with a particular emphasis on how to incorporate the results of this thesis, and those of optimal control theory in general, into a broader theory of dynamics, control and optimization in layered architectures.

Um percurso nacional - 20 anos de estudos sobre altas habilidades / superdotação: a contribuição discente dos programas de pós-graduação

Esta investigação, no campo da produção acadêmica dos programas de pós-graduação de universidades brasileiras, sobre a temática altas habilidades/superdotação, teve como objetivos: mapear um conjunto significativo de trabalhos elaborados sob as formas de tese e dissertação, nas duas últimas décadas; e apresentar as contribuições desses estudos para o atendimento educacional aos portadores de altas habilidades/superdotados. A contextualização teórica da presente pesquisa refere-se à busca de uma teoria mais completa e abrangente sobre a inteligência humana, e da melhor compreensão das altas habilidades/superdotação, mencionando a legislação educacional mais recente sobre o atendimento a esses alunos especiais. A metodologia de pesquisa bibliográfica foi utilizada na sistematização da leitura e releitura dos textos, em vários níveis, para a exploração de seus conteúdos. O objetivo almejado foi a adequada identificação das linhas de pensamento dos autores, procurando-se manter o máximo possível de imparcialidade e respeito a cada um dos posicionamentos. Os assuntos foram categorizados por afinidade temática, em três capítulos, que em sua estrutura apresentam uma introdução, as sínteses descritivas dos trabalhos analisados e uma conclusão. Os resultados alcançados permitiram uma análise elucidativa da produção acadêmica em pauta, nas décadas de 80 e 90, estendendo-se aos anos 2000 e 2001. Sinalizaram evoluções conceituais concernentes às altas habilidades/superdotação. Pontuaram conclusões sobre: a identificação precoce; a estimulação ambiental; a auto-alfabetização precoce; a identificação e atendimento a crianças das classes populares e a preparação de professores; a elaboração de instrumento de observação a ser utilizado pelos professores. Mais conclusões puderam ser registradas em relação a: percepções da escola, pais e professores; percepção de professores universitários; autopercepção e os relacionamentos interpessoais de adultos e jovens adultos; incidentes e comportamentos críticos observados na escola; representação social da escola segundo os alunos; relação professora-aluno portador de altas habilidades; autopercepção e a percepção dos olhares da família, escola e companheiros, por adolescentes. Outras conclusões ainda foram evidenciadas sobre: estratégias educativas para estimulação e identificação de talentos na escola regular, no ensino fundamental e educação infantil; subsídios para a realização escolar no ensino fundamental; a capacidade acadêmica elevada no ensino fundamental; a avaliação de um curso de educação do pensamento por professores participantes. Incluem-se também neste conjunto de resultados: dados históricos sobre a questão das altas habilidades/superdotação; reflexões sobre a profissionalização na área tecnológica; uma crítica ao atendimento educacional aos portadores de altas habilidades/superdotados; e o estudo da trajetória escolar de alunos que receberam atendimento em escolas da rede pública de ensino.

Energy retrofits in social housing. Analysis of its thermal behaviour.

468 p.

RinA controls phage-mediated packaging and transfer of virulence genes in gram-positive bacteria

Phage-mediated transfer of microbial genetic elements plays a crucial role in bacterial life style and evolution. In this study, we identify the RinA family of phage-encoded proteins as activators required for transcription of the late operon in a large group of temperate staphylococcal phages. RinA binds to a tightly regulated promoter region, situated upstream of the terS gene, that controls expression of the morphogenetic and lysis modules of the phage, activating their transcription. As expected, rinA deletion eliminated formation of functional phage particles and significantly decreased the transfer of phage and pathogenicity island encoded virulence factors. A genetic analysis of the late promoter region showed that a fragment of 272 bp contains both the promoter and the region necessary for activation by RinA. In addition, we demonstrated that RinA is the only phage-encoded protein required for the activation of this promoter region. This region was shown to be divergent among different phages. Consequently, phages with divergent promoter regions carried allelic variants of the RinA protein, which specifically recognize its own promoter sequence. Finally, most Gram-postive bacteria carry bacteriophages encoding RinA homologue proteins. Characterization of several of these proteins demonstrated that control by RinA of the phage-mediated packaging and transfer of virulence factor is a conserved mechanism regulating horizontal gene transfer.

Edmund Irwin Gordon Papers, 1936-1984

The Edmund Irwin Gordon papers document Gordon’s studies and professional work. The collection contains correspondence, EIG’s writings for publication and otherwise, course materials from the University of Pennsylvania and teaching at Harvard University, photographs of tablets and from digs, translations and notes from writings and tablets in ancient languages, forms and papers related to various grants, and materials from EIG’s work in Signal Intelligence during World War II.

An Irish apostle: articulating and actualising apostolicity in the early Irish church

This thesis examines the earliest extant Latin Lives of Brigit and Patrick; Cogitosus’s Vita Brigidae and Muirchú’s Vita Patricii as evidence for a seventh-century debate on Irish apostolicity. While often dismissed as mere propaganda, this thesis shows they are highly sophisticated demonstrations of the continuing connection that Kildare and Armagh had to their patron saints and their authority. It examines the importance of this connection for concepts of ecclesiastical organisation, teaching authority and episcopal succession against the backdrop of the seventh-century Easter question in the Insular Church. This will show that apostolicity was considered to be intrinsically linked with orthodoxy and universality. A textual focus brings forth general patristic themes and ideas that Irish hagiographers evoked through specific words and phrases. The thesis contextualises hagiographical material using evidence from Hiberno-Latin and early Insular exegetical commentaries, referring to major patristic exegetes such as Origen, Jerome, Augustine, and Gregory the Great as support. The introduction discusses the importance of apostolic ideology for the seventh-century Irish Church, and outlines a methodology for examining such abstract themes. The first chapter looks at how developments in apostolic ideology led to ideas of apostolic primacy seen in the Insular material. Chapters two, three, and four examine metaphors of food and feeding, the fountain and the stream, and the head and the body, as significant articulations of apostolicity. Chapter five examines how corporeal relics were understood as the visible proof of this continuity and preserved a saint’s authority for their episcopal heirs. Chapter six looks at how Muirchú engaged with Patrick’s connection to the universal Church and his self-professed lack of disciplina to reconcile his apostolicity with seventh-century norms. Chapter seven places the issues considered thus far in a thoroughly Insular context by examining how the earliest English sources present the Irish legacy in Northumbria after the synod of Whitby. Chapter eight looks at how the text of Patrick’s Confessio in the Book of Armagh relates to a wider seventh-century campaign by Armagh to rehabilitate Patrick’s apostolicity. The conclusion briefly summarizes the thesis, and suggests further avenues for researching this topic in the Insular material

Human intestinal microbiota and metabolites they produce in relation to host health

The aim of this thesis was to identify selected potential probiotic characteristics of Bifidobacterium longum strains isolated from human sources, and to examine these characteristics in detail using genomic and phenotypic techniques. One strain in particular Bifidobacterium longum DPC 6315 was the main focus of the thesis and this strain was used in both the manufacture of yoghurt and an animal study. In total, 38 B. longum strains, obtained from infants and adults, were assessed in vitro for the selected probiotic traits using a combined phenotypic and molecular approach. Differentiation of the 38 strains using amplified ribosomal DNA restriction analysis (ARDRA) into subspecies indicated that of the 38 bifidobacterial strains tested, 34 were designated B. longum subsp. longum and four B. longum subsp. infantis.

Optical micro- and nanofibres: Higher mode generation and particle manipulation studies

This thesis is centred on two experimental fields of optical micro- and nanofibre research; higher mode generation/excitation and evanescent field optical manipulation. Standard, commercial, single-mode silica fibre is used throughout most of the experiments; this generally produces high-quality, single-mode, micro- or nanofibres when tapered in a flame-heated, pulling rig in the laboratory. Single mode fibre can also support higher transverse modes, when transmitting wavelengths below that of their defined single-mode regime cut-off. To investigate this, a first-order Laguerre-Gaussian beam, LG01 of 1064 nm wavelength and doughnut-shaped intensity profile is generated free space via spatial light modulation. This technique facilitates coupling to the LP11 fibre mode in two-mode fibre, and convenient, fast switching to the fundamental mode via computer-generated hologram modulation. Following LP11 mode loss when exponentially tapering 125μm diameter fibre, two mode fibre with a cladding diameter of 80μm is selected fir testing since it is more suitable for satisfying the adiabatic criteria for fibre tapering. Proving a fruitful endeavour, experiments show a transmission of 55% of the original LP11 mode set (comprising TE01, TM01, HE21e,o true modes) in submicron fibres. Furthermore, by observing pulling dynamics and progressive mode-lass behaviour, it is possible to produce a nanofibre which supports only the TE01 and TM01 modes, while suppressing the HE21e,o elements of the LP11 group. This result provides a basis for experimental studies of atom trapping via mode-interference, and offers a new set of evanescent field geometries for sensing and particle manipulation applications. The thesis highlights the experimental results of the research unit’s Cold Atom subgroup, who successfully integrated one such higher-mode nanofibre into a cloud of cold Rubidium atoms. This led to the detection of stronger signals of resonance fluorescence coupling into the nanofibre and for light absorption by the atoms due to the presence of higher guided modes within the fibre. Theoretical work on the impact of the curved nanofibre surface on the atomic-surface van der Waals interaction is also presented, showing a clear deviation of the potential from the commonly-used flat-surface approximation. Optical micro- and nanofibres are also useful tools for evanescent-field mediated optical manipulation – this includes propulsion, defect-induced trapping, mass migration and size-sorting of micron-scale particles in dispersion. Similar early trapping experiments are described in this thesis, and resulting motivations for developing a targeted, site-specific particle induction method are given. The integration of optical nanofibres into an optical tweezers is presented, facilitating individual and group isolation of selected particles, and their controlled positioning and conveyance in the evanescent field. The effects of particle size and nanofibre diameter on pronounced scattering is experimentally investigated in this systems, as are optical binding effects between adjacent particles in the evanescent field. Such inter-particle interactions lead to regulated self-positioning and particle-chain speed enhancements.

Ghost and self: Jung's paradigm shift and a response to Zinkin

Zinkin's lucid challenge to Jung makes perfect sense. Indeed, it is the implications of this `making sense' that this paper addresses. For Zinkin's characterization of the `self' takes it as a `concept' requiring coherence; a variety of abstract non-contextual knowledge that itself has a mythical heritage. Moreover, Zinkin's refinement of Jung seeks to make his work fit for the scientific paradigm of modernity. In turn, modernity's paradigm owes much to Newton's notion of knowledge via reductionism. Here knowledge or investigation is divided up into the smallest possible units with the aim of eventually putting it all together into `one' picture of scientific truth. Unfortunately, `reductionism' does not do justice to the resonant possibilities of Jung's writing. These look forward to a new scientific paradigm of the twenty-first century, of the interactive `field', emergence and complexity theory. The paper works paradoxically by discovering Zinkin's `intersubjective self' after all, in two undervalued narratives by Jung, his doctoral thesis and a short late ghost story. However, in the ambivalences and radical fictional experimentation of these fascinating texts can be discerned an-Other self, one both created and found. [From the Publisher]

Essays on energy derivatives pricing and financial risk management

This thesis consists of an introductory chapter (essay I) and five more empirical essays on electricity markets and CO2 spot price behaviour, derivatives pricing analysis and hedging. Essay I presents the structure of the thesis and electricity markets functioning and characteristics, as well as the type of products traded, to be analyzed on the following essays. In the second essay we conduct an empirical study on co-movements in electricity markets resorting to wavelet analysis, discussing long-term dynamics and markets integration. Essay three is about hedging performance and multiscale relationships in the German electricity spot and futures markets, also using wavelet analysis. We concentrate the investigation on the relationship between coherence evolution and hedge ratio analysis, on a time-frequency-scale approach, between spot and futures which conditions the effectiveness of the hedging strategy. Essays four, five and six are interrelated between them and with the other two previous essays given the nature of the commodity analyzed, CO2 emission allowances, traded in electricity markets. Relationships between electricity prices, primary energy fuel prices and carbon dioxide permits are analyzed on essay four. The efficiency of the European market for allowances is examined taking into account markets heterogeneity. Essay five analyzes stylized statistical properties of the recent traded asset CO2 emission allowances, for spot and futures returns, examining also the relation linking convenience yield and risk premium, for the German European Energy Exchange (EEX) between October 2005 and October 2009. The study was conducted through empirical estimations of CO2 allowances risk premium, convenience yield, and their relation. Future prices from an ex-post perspective are examined to show evidence for significant negative risk premium, or else a positive forward premium. Finally, essay six analyzes emission allowances futures hedging effectiveness, providing evidence for utility gains increases with investor’s preference over risk. Deregulation of electricity markets has led to higher uncertainty in electricity prices and by presenting these essays we try to shed new lights about structuring, pricing and hedging in this type of markets.

The work of memory: embodiment, materiality and home in Jeanne Bouvier’s autobiographical writings

In this paper I follow trails in the memory of work by reading the books and papers of Jeanne Bouvier, a French seamstress, ardent trade-unionist and passionate writer, who left a rich body of labour literature including four published historical studies, as well as the memoirs of her life, work and struggles. Work, action and creativity are three interrelated planes on which Bouvier situates herself, while memory and imagination are interwoven in the way she seeks to understand herself in the world with others. What emerges as a particularly striking theme from Bouvier’s papers is a material matrix of mnemonic and imaginary practices, wherein bodies, places and objects are entangled in the narrative constitution of the self of the woman worker/writer.

An integrated and comparative approach to genetic selection of the aquaculture species Dicentrarchus labrax

The European sea bass, Dicentrarchus labrax, is one of the most important marine species cultivated in Southern Europe and has not benefited from selective breeding. One of the major goals in the sea bass (D. labrax) aquaculture industry is to understand and control the complexity of growth associated traits. The aim of the methodology developed for the studies reported in the thesis was not only to establish genetic and genomic resources for sea bass, but to also develop a conceptual strategy to efficiently create knowledge in a research environment that can easily be transferred to the aquaculture industry. The strategy involved; i) establishing an annotated sea bass transcriptome and then using it to, ii) identify new genetic markers for target QTL regions so that, iii) new QTL analysis could be performed and marker based resolution of the DNA regions of interest increased, and then iv) to merge the linkage map and the physical map in order to map the QTL confidence intervals to the sea bass genome and identify genes underlying the targeted traits. Finally to test if genes in the QTL regions that are candidates for divergent growth phenotypes have modified patterns of transcription that reflects the modified whole organism physiology SuperSAGE-SOLiD4 gene expression was used with sea bass with high growth heterogeneity. The SuperSAGE contributed to significantly increase the transcriptome information for sea bass muscle, brain and liver and also led to the identification of putative candidate genes lying in the genomic region of growth related QTL. Lastly all differentially expressed transcripts in brain, liver and muscle of the European sea bass with divergent specific growth rates were mapped to gene pathways and networks and the regulatory pathways most affected identified and established the tissue specific changes underlying the divergent SGR. Owing to the importance of European sea bass to Mediterranean aquaculture and the developed genomics resources from the present thesis and from other studies it should be possible to implement genetic selection programs using marker assisted selection.