Publikationen im Open Access gefördert durch die UB
Dauerhafte URI für die Sammlung
Suchen
Auflistung Publikationen im Open Access gefördert durch die UB nach Auflistung nach DDC "ddc:510"
Gerade angezeigt 1 - 20 von 23
Treffer pro Seite
Sortieroptionen
Item Dense Short Solution Segments from Monotonic Delayed Arguments(2022) Walther, Hans-OttoItem Dmitry N. Kozlov: “Organized Collapse: An Introduction to Discrete Morse Theory”(2022) Witzel, StefanItem Error bounds for a least squares meshless finite difference method on closed manifolds(2023) Davydov, OlegWe present an error bound for a least squares version of the kernel based meshless finite difference method for elliptic differential equations on smooth compact manifolds of arbitrary dimension without boundary. In particular, we obtain sufficient conditions for the convergence of this method. Numerical examples are provided for the equation -Δ(M) u+u = f on the 2- and 3-spheres, where Δ(M) is the Laplace-Beltrami operator.Item Finite automata with undirected state graphs(2022) Kutrib, Martin; Malcher, Andreas; Schneider, ChristianItem Fundamental groups of split real Kac-Moody groups and generalized real flag manifolds(2023) Harring, P.; Köhl, R.Item Generalised Wendland functions for the sphere(2023) Hubbert, Simon; Jäger, JaninIn this paper, we compute the spherical Fourier expansion coefficients for the restriction of the generalised Wendland functions from d-dimensional Euclidean space to the (d − 1)-dimensional unit sphere. We use results from the theory of special functions to show that they can be expressed in a closed form as a multiple of a certain 3F2 hypergeometric function. We present tight asymptotic bounds on the decay rate of the spherical Fourier coefficients and, in the case where d is odd, we are able to provide the precise asymptotic rate of decay. Numerical evidence suggests that this precise asymptotic rate also holds when d is even and we pose this as an open problem. Finally, we observe a close connection between the asymptotic decay rate of the spherical Fourier coefficients and that of the corresponding Euclidean Fourier transform.Item Hyperbolic generalized triangle groups, property (T) and finite simple quotients(2022) Caprace, Pierre-Emmanuel; Conder, Marston; Kaluba, Marek; Witzel, StefanItem Implementation of inclusion and exclusion criteria in clinical studies in OHDSI ATLAS software(2023) Blasini, Romina; Buchowicz, Kornelia Marta; Schneider, Henning; Samans, Birgit; Sohrabi, KeywanClinical trials are essential parts of a medical study process, but studies are often cancelled due to a lack of participants. Clinical Trial Recruitment Support Systems are systems that help to increase the number of participants by seeking more suitable subjects. The software ATLAS (developed by Observational Health Data Sciences and Informatics) can support the launch of a clinical trial by building cohorts of patients who fulfill certain criteria. The correct use of medical classification systems aiming at clearly defined inclusion and exclusion criteria in the studies is an important pillar of this software. The aim of this investigation was to determine whether ATLAS can be used in a Clinical Trial Recruitment Support System to portray the eligibility criteria of clinical studies. Our analysis considered the number of criteria feasible for integration with ATLAS and identified its strengths and weaknesses. Additionally, we investigated whether nonrepresentable criteria were associated with the utilized terminology systems. We analyzed ATLAS using 223 objective eligibility criteria from 30 randomly selected trials conducted in the last 10 years. In the next step, we selected appropriate ICD, OPS, LOINC, or ATC codes to feed the software. We classified each criterion and study based on its implementation capability in the software, ensuring a clear and logical progression of information. Based on our observations, 51% of the analyzed inclusion criteria were fully implemented in ATLAS. Within our selected example set, 10% of the studies were classified as fully portrayable, and 73% were portrayed to some extent. Additionally, we conducted an evaluation of the software regarding its technical limitations and interaction with medical classification systems. To improve and expand the scope of criteria within a cohort definition in a practical setting, it is recommended to work closely with personnel involved in the study to define the criteria precisely and to carefully select terminology systems. The chosen criteria should be combined according to the specific setting. Additional work is needed to specify the significance and amount of the extracted criteria.Item Implementing and modifying Broyden class updates for large scale optimization(2021) Buhmann, Martin; Siegel, DirkItem Iterative arrays with finite inter-cell communication(2020) Kutrib, Martin; Malcher, AndreasItem Iterative arrays with self-verifying communication cell(2020) Kutrib, MartinItem Metric Fourier Approximation of Set-Valued Functions of Bounded Variation(2021) Berdysheva, Elena E.; Dyn, Nira; Farkhi, Elza; Mokhov, AlonaItem Morse Theory for S-balanced Configurations in the Newtonian n-body Problem(2021) Asselle, Luca; Portaluri, AlessandroItem On isometries of twin buildings(2021) Bischof, Sebastian; Chosson, Anton; Mühlherr, BernhardItem One-dimensional pattern generation by cellular automata(2022) Kutrib, Martin; Malcher, AndreasItem Radial and cylindrical symmetry of solutions to the Cahn–Hilliard equation(2020) Rizzi, MatteoItem Self-exciting price impact via negative resilience in stochastic order books(2022) Ackermann, Julia; Kruse, Thomas; Urusov, MikhailMost of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact, where trading activities of the large investor stimulate other market participants to trade in the same direction. In the paper we discuss several new qualitative effects on optimal trade execution that arise when we allow resilience to take negative values. We do this in a framework where both market depth and resilience are stochastic processes.Item Strict Positive Definiteness of Convolutional and Axially Symmetric Kernels on d-Dimensional Spheres(2022) Buhmann, Martin; Jäger, JaninItem The Central Decomposition of FD01(n)(2022) Köhler, PeterItem The Exceptional Tits Quadrangles Revisited(2022) Mühlherr, Bernhard; Weiss, Richard M.