12 resultados para Kalman filtering G

em Helda - Digital Repository of University of Helsinki


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The stochastic filtering has been in general an estimation of indirectly observed states given observed data. This means that one is discussing conditional expected values as being one of the most accurate estimation, given the observations in the context of probability space. In my thesis, I have presented the theory of filtering using two different kind of observation process: the first one is a diffusion process which is discussed in the first chapter, while the third chapter introduces the latter which is a counting process. The majority of the fundamental results of the stochastic filtering is stated in form of interesting equations, such the unnormalized Zakai equation that leads to the Kushner-Stratonovich equation. The latter one which is known also by the normalized Zakai equation or equally by Fujisaki-Kallianpur-Kunita (FKK) equation, shows the divergence between the estimate using a diffusion process and a counting process. I have also introduced an example for the linear gaussian case, which is mainly the concept to build the so-called Kalman-Bucy filter. As the unnormalized and the normalized Zakai equations are in terms of the conditional distribution, a density of these distributions will be developed through these equations and stated by Kushner Theorem. However, Kushner Theorem has a form of a stochastic partial differential equation that needs to be verify in the sense of the existence and uniqueness of its solution, which is covered in the second chapter.

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In her thesis, Kaisa Kaakinen analyzes how the German emigrant author W. G. Sebald (1944-2001) uses architecture and photography in his last novel "Austerlitz" to represent time, history and remembering. Sebald describes time in spatial terms: it is like a building, the rooms and chambers of which are connected to each other. The poetics of spatial time manifests itself on multiple levels of the text. Kaakinen traces it in architectural representations, photographic images, intertextuality, as well as in the form of the text, using the concept of spatial form by Joseph Frank. Architectural and photographic representations serve as meeting points for different aspects and angles of the novel and illustrate the idea of a layered present that has multiple connections to the past. The novel tells a story of Jacques Austerlitz, who as a small child was sent from Prague to Britain in one of the so-called Kindertransports that saved children from Central Europe occupied by the National Socialists. Only gradually he remembers his Jewish parents, who have most likely perished in Nazi concentration camps. The novel brings the problematic of writing about another person's past to the fore by the fact that Austerlitz's story is told by an anonymous narrator, Austerlitz's interlocutor, who listens to and writes down Austerlitz's story. Kaakinen devotes the final part of her thesis to study the demands of representing a historical trauma, drawing on authors such as Dominick LaCapra and Michael Rothberg. Through the analysis of architectural and photographic representations in the novel, she demonstrates how Austerlitz highlights the sense of singularity and inaccessibility of memories of an individual, while also stressing the necessity - and therefore a certain kind of possibility - of passing these memories to another person. The coexistence of traumatic narrowness and of the infinity of history is reflected in ambivalent buildings. Some buildings in the novel resemble reversible figures: they can be perceived simultaneously as ruins and as construction sites. Buildings are also shown to be able to both cover and preserve memories - an idea that also is repeated in the use of photography, which tends to both replace memories and cause an experience of the presence of an absent thing. Commenting and critisizing some recent studies on Sebald, the author develops a reading which stresses the ambivalence inherent in Sebald's view on history and historiography. Austerlitz shows the need to recognize the inevitable absence of the past as well as the distance from the experiences of others. Equally important, however, is the refusal to give up narrating the past: Sebald's novel stresses the necessity to preserve the sites of the past, which carry silent traces of vanished life. The poetics of Austerlitz reflects the paradox of the simultaneous impossibility and indispensability of writing history.

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This study explores ecumenical activity of professor and bishop E. G. Gulin (1893 1975). Gulin was one of the key figures in the Finland s Evangelical Lutheran Church during the twentieth century. He was also one of the leading persons who imported ecumenical influences from abroad. However, unlike other churches, the Church of Finland did not recognise his importance. For example, in the 1950s Gulin was seen by the Anglicans as a future archbishop for the Evangelical Lutheran Church of Finland. Gulin s career as an ecumenist can be divided to three parts. Between 1917 and 1929, Gulin learned ecumenical working methods in Finland s World Student Christian Federation. He had a background in the revivalist movement, and his parents supported him in his studies. The Evangelical Lutheran Church did not originally play a major role for Gulin, although he was a member. Between 1930 and 1944, Gulin had more and more responsibility as a leading ecumenist in Finland. He became a member of Finland s ecumenical board, Yleiskirkollinen toimikunta. During the Second World War Gulin tried to solicit assistance for Finland s war effort at theological conferences, where Finnish theologians often discussed cooperation among Christians. A third period started in 1945, when Gulin became the bishop of Tampere. His new status in the Evangelical Lutheran Church placed him in a challenging position in ecumenical questions. He had responsibility for inter-church aid in Finland. He also participated in the World Council of Churches (WCC) assemblies in Evanston in 1954 and in New Delhi in 1961. Gulin s role was quite insignificant in those meetings. Closely related to Gulin s texts about ecumenism is kokemus, experience. Gulin wrote about his ecumenical experience or ekumeeninen kokemus. He believed that it was vital for the churches to appreciate their own experiences, since experience was the basis for further development. Yet Gulin mentioned very little about Christian dogma. The main reason seems to have been that he did not believe that a union between churches could be built on dogma.

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The purpose of this work was to elucidate the ontogeny of interleukin-10 (IL-10) secretion from newborn mononuclear cells (MCs), and to examine its relation to the secretion of interferon-g (IFN-g) and immunoglobulins (Igs). The initial hypothesis was that the decreased immunoglobulin (Ig) synthesis of newborn babies was the result of immature cytokine synthesis regulation, which would lead to excessive IL-10 production, leading in turn to suppressed IFN-g secretion. Altogether 57 full-term newborns and 34 adult volunteers were enrolled. Additionally, surface marker compositions of 29 premature babies were included. Enzyme-linked immunoassays were used to determine the amount of secreted IL-10, IFN-g, and Igs, and the surface marker composition of MC were analyzed with a FACScan flow cytometer. The three most important findings were: 1. Cord blood MC, including CD5+ B cells, are able to secrete IL-10. However, when compared with adults, the secretion of IL-10 was decreased. This indicates that reasons other than excessive IL-10 secretion are responsible of reduced IFN-g secretion in newborns. 2. As illustrated by the IL-10 and IFN-g secretion pattern, newborn cytokine profile was skewed towards the Th2 type. However, approximately 25% of newborns had an adult like cytokine profile with both good IL10 and IFN-g secretion, demonstrating that fullterm newborns are not an immunologically homogenous group at the time of birth. 3. There were significant differences in the surface marker composition of MCs between individual neonates. While gestational age correlated with the proportion of some MC types, it is evident that there are many other maternal and fetal factors that influence the maturity and nature of lymphocyte subpopulations in individual neonates. In conclusion, the reduced ability of neonates to secrete Ig and IFN-g is not a consequence of high IL-10 secretion. However, individual newborns differ significantly in their ability to secrete cytokines as well as Igs.

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The magnetic field of the Earth is 99 % of the internal origin and generated in the outer liquid core by the dynamo principle. In the 19th century, Carl Friedrich Gauss proved that the field can be described by a sum of spherical harmonic terms. Presently, this theory is the basis of e.g. IGRF models (International Geomagnetic Reference Field), which are the most accurate description available for the geomagnetic field. In average, dipole forms 3/4 and non-dipolar terms 1/4 of the instantaneous field, but the temporal mean of the field is assumed to be a pure geocentric axial dipolar field. The validity of this GAD (Geocentric Axial Dipole) hypothesis has been estimated by using several methods. In this work, the testing rests on the frequency dependence of inclination with respect to latitude. Each combination of dipole (GAD), quadrupole (G2) and octupole (G3) produces a distinct inclination distribution. These theoretical distributions have been compared with those calculated from empirical observations from different continents, and last, from the entire globe. Only data from Precambrian rocks (over 542 million years old) has been used in this work. The basic assumption is that during the long-term course of drifting continents, the globe is sampled adequately. There were 2823 observations altogether in the paleomagnetic database of the University of Helsinki. The effect of the quality of observations, as well as the age and rocktype, has been tested. For comparison between theoretical and empirical distributions, chi-square testing has been applied. In addition, spatiotemporal binning has effectively been used to remove the errors caused by multiple observations. The modelling from igneous rock data tells that the average magnetic field of the Earth is best described by a combination of a geocentric dipole and a very weak octupole (less than 10 % of GAD). Filtering and binning gave distributions a more GAD-like appearance, but deviation from GAD increased as a function of the age of rocks. The distribution calculated from so called keypoles, the most reliable determinations, behaves almost like GAD, having a zero quadrupole and an octupole 1 % of GAD. In no earlier study, past-400-Ma rocks have given a result so close to GAD, but low inclinations have been prominent especially in the sedimentary data. Despite these results, a greater deal of high-quality data and a proof of the long-term randomness of the Earth's continental motions are needed to make sure the dipole model holds true.

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The famous philosopher Leibniz (1646-1716) was also active in the (cultural) politics of his time. His interest in forming scientific societies never waned and his efforts led to the founding of the Berlin Academy of Sciences. He also played a part in the founding of the Dresden Academy of Science and the St. Petersburg Academy of Science. Though Leibniz's models for the scientific society were the Royal Society and the Royal Science Academy of France, his pansophistic vision of scientific cooperation sometimes took on utopian dimensions. In this paper, I will present Leibniz's ideas of scientific cooperation as a kind of religious activity and discuss his various schemes for the founding of such scientific societies.

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The new paradigm of connectedness and empowerment brought by the interactivity feature of the Web 2.0 has been challenging the traditional centralized performance of mainstream media. The corporation has been able to survive the strong winds by transforming itself into a global multimedia business network embedded in the network society. By establishing networks, e.g. networks of production and distribution, the global multimedia business network has been able to sight potential solutions by opening the doors to innovation in a decentralized and flexible manner. Under this emerging context of re-organization, traditional practices like sourcing need to be re- explained and that is precisely what this thesis attempts to tackle. Based on ICT and on the network society, the study seeks to explain within the Finnish context the particular case of Helsingin Sanomat (HS) and its relations with the youth news agency, Youth Voice Editorial Board (NÄT). In that sense, the study can be regarded as an explanatory embedded single case study, where HS is the principal unit of analysis and NÄT its embedded unit of analysis. The thesis was able to reach explanations through interrelated steps. First, it determined the role of ICT in HS’s sourcing practices. Then it mapped an overview of the HS’s sourcing relations and provided a context in which NÄT was located. And finally, it established conceptualized institutional relational data between HS and NÄT for their posterior measurement through social network analysis. The data set was collected via qualitative interviews addressed to online and offline editors of HS as well as interviews addressed to NÄT’s personnel. The study concluded that ICT’s interactivity and User Generated Content (UGC) are not sourcing tools as such but mechanism used by HS for getting ideas that could turn into potential news stories. However, when it comes to visual communication, some exemptions were found. The lack of official sources amidst the immediacy leads HS to rely on ICT’s interaction and UGC. More than meets the eye, ICT’s input into the sourcing practice may be more noticeable if the interaction and UGC is well organized and coordinated into proper and innovative networks of alternative content collaboration. Currently, HS performs this sourcing practice via two projects that differ, precisely, by the mode they are coordinated. The first project found, Omakaupunki, is coordinated internally by Sanoma Group’s owned media houses HS, Vartti and Metro. The second project found is coordinated externally. The external alternative sourcing network, as it was labeled, consists of three actors, namely HS, NÄT (professionals in charge) and the youth. This network is a balanced and complete triad in which the actors connect themselves in relations of feedback, recognition, creativity and filtering. However, as innovation is approached very reluctantly, this content collaboration is a laboratory of experiments; a ‘COLLABORATORY’.

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The Thesis presents a state-space model for a basketball league and a Kalman filter algorithm for the estimation of the state of the league. In the state-space model, each of the basketball teams is associated with a rating that represents its strength compared to the other teams. The ratings are assumed to evolve in time following a stochastic process with independent Gaussian increments. The estimation of the team ratings is based on the observed game scores that are assumed to depend linearly on the true strengths of the teams and independent Gaussian noise. The team ratings are estimated using a recursive Kalman filter algorithm that produces least squares optimal estimates for the team strengths and predictions for the scores of the future games. Additionally, if the Gaussianity assumption holds, the predictions given by the Kalman filter maximize the likelihood of the observed scores. The team ratings allow probabilistic inference about the ranking of the teams and their relative strengths as well as about the teams’ winning probabilities in future games. The predictions about the winners of the games are correct 65-70% of the time. The team ratings explain 16% of the random variation observed in the game scores. Furthermore, the winning probabilities given by the model are concurrent with the observed scores. The state-space model includes four independent parameters that involve the variances of noise terms and the home court advantage observed in the scores. The Thesis presents the estimation of these parameters using the maximum likelihood method as well as using other techniques. The Thesis also gives various example analyses related to the American professional basketball league, i.e., National Basketball Association (NBA), and regular seasons played in year 2005 through 2010. Additionally, the season 2009-2010 is discussed in full detail, including the playoffs.