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The class of square matrices of order n having a negative determinant and all their minors up to order n-1 nonnegative is considered. A characterization of these matrices is presented which provides an easy test based on the Cauchon algorithm for their recognition. Furthermore, the maximum allowable perturbation of the entry in position (2,2) such that the perturbed matrix remains in this class is given. Finally, it is shown that all matrices lying between two matrices of this class with respect to the checkerboard ordering are contained in this class, too.
Positive systems play an important role in systems and control theory and have found applications in multiagent systems, neural networks, systems biology, and more. Positive systems map the nonnegative orthant to itself (and also the non-positive orthant to itself). In other words, they map the set of vectors with zero sign variation to itself. In this article, discrete-time linear systems that map the set of vectors with up to k-1 sign variations to itself are introduced. For the special case k = 1 these reduce to discrete-time positive linear systems. Properties of these systems are analyzed using tools from the theory of sign-regular matrices. In particular, it is shown that almost every solution of such systems converges to the set of vectors with up to k-1 sign variations. It is also shown that these systems induce a positive dynamics of k-dimensional parallelotopes.
Probabilistic Short-Term Low-Voltage Load Forecasting using Bernstein-Polynomial Normalizing Flows
(2021)
The transition to a fully renewable energy grid requires better forecasting of demand at the low-voltage level. However, high fluctuations and increasing electrification cause huge forecast errors with traditional point estimates. Probabilistic load forecasts take future uncertainties into account and thus enables various applications in low-carbon energy systems. We propose an approach for flexible conditional density forecasting of short-term load based on Bernstein-Polynomial Normalizing Flows where a neural network controls the parameters of the flow. In an empirical study with 363 smart meter customers, our density predictions compare favorably against Gaussian and Gaussian mixture densities and also outperform a non-parametric approach based on the pinball loss for 24h-ahead load forecasting for two different neural network architectures.
Der Inhalt dieser Arbeit befasst sich mit der Verwendung von regionalen Ressourcen in Form von Erde. Diese soll als Baumaterial unter Anwendung der Stampflehmbauweise für
ökologischeres Bauen dienen. Damit der Baustoff den Ansprüchen heutiger Bauaufgaben gerecht wird, wird untersucht, mit welchen nachhaltigen Methoden die Erde stabilisiert werden kann. Darüber hinaus wird nach einem zukunftsweisenden Fertigungsverfahren
für den Stampflehmbau gesucht. Die Nutzung und Kombination dieser Aspekte bezeichnen wir als Erdbau 4.0, welcher unter anderem für das Maun Sciene Park Projekt in Botswana infrage kommen könnte.
In this paper, a novel measurement model based on spherical double Fourier series (DFS) for estimating the 3D shape of a target concurrently with its kinematic state is introduced. Here, the shape is represented as a star-convex radial function, decomposed as spherical DFS. In comparison to ordinary DFS, spherical DFS do not suffer from ambiguities at the poles. Details will be given in the paper. The shape representation is integrated into a Bayesian state estimator framework via a measurement equation. As range sensors only generate measurements from the target side facing the sensor, the shape representation is modified to enable application of shape symmetries during the estimation process. The model is analyzed in simulations and compared to a shape estimation procedure using spherical harmonics. Finally, shape estimation using spherical and ordinary DFS is compared to analyze the effect of the pole problem in extended object tracking (EOT) scenarios.
For decades now, exports and import have grown more rapidly than domestic production. This is a strong indication that, besides the rapid growth of foreign trade in final goods, trade in intermediates is becoming increasingly important. For this reason, an input-output ap-proach is more appropriate for any analysis of diversification than a traditional approach based purely on macroeconomic data.
This article analyses economic diversification in Gulf Cooperation Council (GCC) countries using data from input-output tables which are an integral part of the national accounts. We compare the performance of the GCC economies with that of a reference case, Norway, which is considered to have successfully diversified its economy despite having a large oil resource base. It also assesses these countries’ relative progress on sustainable development using a measure of the World Bank, adjusted net savings, which evaluates the true rate of savings in an economy after accounting for investments in physical and human capital, de-pletion of natural resources, and damage from environmental pollution.
The article concludes that GCC countries have, contrary to expectation, collectively per-formed relatively well on diversification, but their performance on sustainable development varies.
The main objective of this paper is to revisit Temursho’s (2020) article “On the Euro method” in a critical and constructive way. We have praised part of his work and at the same time, we have analysed some of his arguments against the Euro method and against the work published by Valderas-Jaramillo et al. (2019). Moreover, we have analysed some other relevant aspects of the SUT-Euro and SUT-RAS methods not covered in Temursho (2020). Temursho (2020) seems to conclude that no one should use the Euro method again because of its limitations and drawbacks. However, although not being the Euro method perfect, we are afraid that there is still space for the use of the Euro method in updating/regionalizing supply and use tables.
Specific climate adaptation and resilience measures can be efficiently designed and implemented at regional and local levels. Climate and environmental databases are critical for achieving the sustainable development goals (SDGs) and for efficiently planning and implementing appropriate adaptation measures. Available federated and distributed databases can serve as necessary starting points for municipalities to identify needs, prioritize resources, and allocate investments, taking into account often tight budget constraints. High-quality geospatial, climate, and environmental data are now broadly available and remote sensing data, e.g., Copernicus services, will be critical. There are forward-looking approaches to use these datasets to derive forecasts for optimizing urban planning processes for local governments. On the municipal level, however, the existing data have only been used to a limited extent. There are no adequate tools for urban planning with which remote sensing data can be merged and meaningfully combined with local data and further processed and applied in municipal planning and decision-making. Therefore, our project CoKLIMAx aims at the development of new digital products, advanced urban services, and procedures, such as the development of practical technical tools that capture different remote sensing and in-situ data sets for validation and further processing. CoKLIMAx will be used to develop a scalable toolbox for urban planning to increase climate resilience. Focus areas of the project will be water (e.g., soil sealing, stormwater drainage, retention, and flood protection), urban (micro)climate (e.g., heat islands and air flows), and vegetation (e.g., greening strategy, vegetation monitoring/vitality). To this end, new digital process structures will be embedded in local government to enable better policy decisions for the future.
Optimierungsansätze zur Verbesserung der Leistungsbeschreibungen bei öffentlichen Bauvorhaben
(2021)
Elbphilharmonie, BER, Bischofsresistenz Limburg, Stuttgart 21, Alter Elbtunnel Hamburg. Alles bekannte deutsche Bauprojekte der letzten 20 Jahre. Alle mit einer Gemeinsamkeit: Exorbitante Kostenexplosionen und Bauzeitenverzögerungen.
In dieser Arbeit wird aufgezeigt, weshalb solche Kostenexplosionen auch aufgrund von Unklarheiten bzw. Fehlern in Leistungsbeschreibungen entstehen und welches enorme Potential klare und erschöpfende Leistungsbeschreibungen haben, um bereits im Vorfeld eines Bauvorhabens die Weichen für einen reibungslosen und erfolgreichen Projektverlauf zu stellen.