High-order regularized regression in Electrical Impedance Tomography

We present a novel approach for the inverse problem in electrical impedance tomography based on regularized quadratic regression. Our contribution introduces a new formulation for the forward model in the form of a nonlinear integral transform, that maps changes in the electrical properties of a domain to their respective variations in boundary data. Using perturbation theory the transform is approximated to yield a high-order misfit unction which is then used to derive a regularized inverse problem. In particular, we consider the nonlinear problem to second-order accuracy, hence our approximation method improves upon the local linearization of the forward mapping. The inverse problem is approached using Newton's iterative algorithm and results from simulated experiments are presented. With a moderate increase in computational complexity, the method yields superior results compared to those of regularized linear regression and can be implemented to address the nonlinear inverse problem

Geometry of arithmetic surfaces

In this thesis my emphasis is on the resolution of the singularities of fibre products of Arithmetic Surfaces. In chapter one as an introduction to my thesis some elementary concepts related to regular and singular points are reviewed and the concept of tangent cone is defined for schemes over a discrete valuation ring. The concept of arithmetic surfaces is introduced briefly in the end of this chapter. In chapter 2 my new procedures namely the procedure of Mojgan(_1) and the procedure of Mahtab(_2) and a new operator called Moje are introduced. Also the concept of tangent space is defined for schemes over a discrete valuation ring. In chapter 3 the singularities of schemes which are the fibre products of some surfaces with ordinary double points are resolved. It is done in two different methods. The results from both methods are consistent. In chapter 4, I have tried to resolve the singularities of a special class of arithmetic three-folds, namely those which are the fibre product of two arithmetic surfaces, which were very helpful to achieve my final results about the resolution of singularities of fibre products of the minimal regular models of Tate. Chapter 5 includes my final results which are about the resolution of singularities of the fibre product of two minimal regular models of Tate

History, Politics, and Religion in the Life and Compositions of Sahba Aminikia

Sahba Aminikia is an Iranian-American composer who was underrepresented in his home country. He was born into a family with Baha’i faith only two years after the Islamic Revolution of Iran in 1979. The consequences of the revolution brought several challenges for him as a musician and a religious minority. Aminikia was deprived of the right to further his education, so he first moved to Russia, and later on, immigrated to the United States where he received his master\u27s degree in composition. The research is focused on the analysis of the two pieces titled One Day; Tehran(2010), and Shab o Meh(Night and Fog) (2013) as well as the history of Aminikia’s life and compositional process in the format of an interview. My analysis of these pieces is motivic, and the tonality is discussed based on the idea of pitch centricity. In this document, I explore the compositional style of Aminikia through the lens of his past experiences within the historical and political events in Iran in order to provide performers a better understanding of his works, so that they can make informed interpretive decisions

都市交通事故の時空間分析 : イランのテヘランを事例に

この博士論文は内容の要約のみの公開（または一部非公開）になっています筑波大学 (University of Tsukuba)201