TY - GEN A1 - Zobel, Valentin A1 - Reininghaus, Jan A1 - Hotz, Ingrid T1 - Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature T2 - Topological Methods in Data Analysis and Visualization III Y1 - 2013 SP - 249 EP - 262 CY - Davis, CA, USA ER - TY - JOUR A1 - Zobel, Valentin A1 - Reininghaus, Jan A1 - Hotz, Ingrid T1 - Generalized Heat Kernel Signature JF - Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision Y1 - 2011 SP - 93 EP - 100target ER - TY - THES A1 - Zonker, Johannes T1 - Coarse Graining of Agent-Based Models and Spatio-Temporal Modeling of Spreading Processes Y1 - 2023 UR - http://dx.doi.org/10.17169/refubium-41220 ER - TY - JOUR A1 - Zonker, Johannes A1 - Padilla-Iglesias, Cecilia A1 - Djurdjevac Conrad, Natasa T1 - Insights into drivers of mobility and cultural dynamics of African hunter-gatherers over the past 120 000 years JF - Royal Society Open Science N2 - Humans have a unique capacity to innovate, transmit and rely on complex, cumulative culture for survival. While an important body of work has attempted to explore the role of changes in the size and interconnectedness of populations in determining the persistence, diversity and complexity of material culture, results have achieved limited success in explaining the emergence and spatial distribution of cumulative culture over our evolutionary trajectory. Here, we develop a spatio-temporally explicit agent-based model to explore the role of environmentally driven changes in the population dynamics of hunter–gatherer communities in allowing the development, transmission and accumulation of complex culture. By modelling separately demography- and mobility-driven changes in interaction networks, we can assess the extent to which cultural change is driven by different types of population dynamics. We create and validate our model using empirical data from Central Africa spanning 120 000 years. We find that populations would have been able to maintain diverse and elaborate cultural repertoires despite abrupt environmental changes and demographic collapses by preventing isolation through mobility. However, we also reveal that the function of cultural features was also an essential determinant of the effects of environmental or demographic changes on their dynamics. Our work can therefore offer important insights into the role of a foraging lifestyle on the evolution of cumulative culture. Y1 - 2023 U6 - https://doi.org/10.1098/rsos.230495 VL - 10 IS - 11 ER - TY - GEN A1 - Zonker, Johannes A1 - Padilla-Iglesias, Cecilia A1 - Djurdjevac Conrad, Natasa T1 - Supplementary code and data for Royal Society Open Science Manuscript rsos.230495 N2 - In this repository are all files necessary to run the agent-based model of the paper "Insights into drivers of mobility and cultural dynamics of African hunter–gatherers over the past 120 000 years", Royal Society Open Science, 10(11), 2023. Y1 - 2023 U6 - https://doi.org/10.12752/9254 ER - TY - THES A1 - Zoufahl, Andre T1 - Explorative Analysis of Vortex Structures in 2D Flows KW - Flow Visualization Y1 - 2012 ER - TY - THES A1 - Zschiedrich, Lin T1 - Transparent boundary conditions for Maxwell's equations: Numerical concepts beyond the PML method N2 - Optical technologies are ubiquitously used in hi-tech devices. As a common feature of such devices one finds structures with dimensions in the order of the wavelength of the used light. To design and produce such devices, the wave nature of light must be taken into account. Accordingly, robust simulation tools are required which are based on rigorously solving Maxwell's equations, the governing equations of light propagation within macroscopic media. This thesis contributes to the modeling and the numerical computation of light scattering problems: Light scattering problems are typically posed on the entire space. The Perfectly-Matched -Layer method (PML) is widely used to restrict the simulation problem onto a bounded computational domain. We propose an adaptive PML method which exhibits a good convergence even for critical problems where standard PML implementations fail. Besides the computation of the near field, that is the electromagnetic field within the computational domain, it is of major interest to evaluate the electromagnetic field in the exterior domain and to compute the far field. So far, this was numerically only possible for simple geometries such as homogeneous exterior domains or layered media. To deal with more complicated devices, for example with waveguide inhomogeneities, we develop an evaluation formula based on the PML solution which allows for an exterior domain field evaluation in a half space above the device. Finally, we generalize the PML method to problems with multiply structured exterior domains. The term “multiply structured exterior domain” is defined in this thesis and means that the exterior domain exhibits several half-infinite structures. Mathematically, this gives rise to various complications. For example, no analytical solutions to Maxwell's equations for standard light sources are available in the exterior domain, which are needed to describe the incoming field in a light scattering problem. To tackle this we propose a new light scattering problem formulation which fits well into the PML method framework and which may be regarded as an extension of classical contributions by Sommerfeld, Wiener and Hopf. An exterior domain evaluation formula for multiply structured exterior domains with an extended illumination is derived as well. KW - transparent boundary conditions KW - electromagnetic scattering KW - Maxwell's equations KW - perfectly matched layers KW - PML KW - Wiener-Hopf techniques Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:188-fudissthesis000000013994-8 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Binkowski, Felix A1 - Burger, Sven ED - Kaltenbacher, Manfred T1 - Spectral resonance expansion by Riesz projections T2 - 14 th International Conference on Mathematical and Numerical Aspects of Wave Propagation Book of Abstracts Y1 - 2019 U6 - https://doi.org/10.34726/waves2019 SP - 234 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Binkowski, Felix A1 - Burger, Sven ED - Asquini, Rita T1 - Light-matter Interaction in Optical Resonators: Spectral Expansion by Riesz Projection T2 - Photonics & Electromagnetics Research Symposium Abstracts (PIERS Rome) Y1 - 2019 SP - 1067 ER - TY - JOUR A1 - Zschiedrich, Lin A1 - Binkowski, Felix A1 - Nikolay, Niko A1 - Benson, Oliver A1 - Kewes, Günter A1 - Burger, Sven T1 - Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators JF - Phys. Rev. A Y1 - 2018 U6 - https://doi.org/10.1103/PhysRevA.98.043806 VL - 98 SP - 043806 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Blome, Therese A1 - Greiner, Horst T1 - Simulation of advanced OLED light extraction structures with novel FEM methods T2 - Organic Photonics VI Y1 - 2014 U6 - https://doi.org/10.1117/12.2054146 VL - 9137 SP - 91370O ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Kettner, Benjamin A1 - Schmidt, Frank T1 - Advanced Finite Element Method for Nano-Resonators T2 - Proc. SPIE Y1 - 2006 U6 - https://doi.org/10.1117/12.646252 VL - 6115 SP - 611515 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Klose, Roland A1 - Schädle, Achim A1 - Schmidt, Frank ED - Sidorin, Y. ED - Wächter, Christoph T1 - JCMmode: an adaptive finite element solver for the computation of leaky modes T2 - Integrated Optics: Devices, Materials, and Technologies IX Y1 - 2005 U6 - https://doi.org/10.1117/12.590372 VL - 5728 SP - 192 EP - 202 PB - Proc. SPIE ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Pomplun, Jan A1 - Schmidt, Frank ED - Sidorin, Y. ED - Waechter, Ch. T1 - Goal oriented adaptive finite element method for precise simulation of optical components T2 - Proc. SPIE, Integrated Optics Y1 - 2007 UR - http://arxiv.org/pdf/physics/0702128 VL - 6475 SP - 64750H ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Schädle, Achim A1 - Schmidt, Frank ED - Levinson, Harry ED - Dusa, Mircea T1 - A rigorous finite-element domain decomposition method for electromagnetic near field simulations T2 - Optical Microlithography XXI Y1 - 2008 U6 - https://doi.org/10.1117/12.771989 VL - 6924 PB - SPIE ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Burger, Sven A1 - Schädle, Achim A1 - Schmidt, Frank T1 - Domain decomposition method for electromagnetic scattering problems: application to EUV lithography T2 - Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices Y1 - 2005 U6 - https://doi.org/10.1109/NUSOD.2005.1518132 SP - 55 EP - 56 ER - TY - JOUR A1 - Zschiedrich, Lin A1 - Greiner, Horst A1 - Burger, Sven A1 - Schmidt, Frank T1 - Numerical analysis of nanostructures for enhanced light extraction from OLEDs JF - Proc. SPIE Y1 - 2013 U6 - https://doi.org/10.1117/12.2001132 VL - 8641 SP - 86410B ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Greiner, Horst A1 - Pomplun, Jan A1 - Hammerschmidt, Martin A1 - Burger, Sven A1 - Schmidt, Frank T1 - FEM simulations of light extraction from nanostructured organic light-emitting diodes T2 - Renewable Energy and the Environment Optics and Photonics Congress Y1 - 2012 U6 - https://doi.org/10.1364/SOLED.2012.LT2B.5 SP - LT2B.5 PB - Optical Society of America ER - TY - GEN A1 - Zschiedrich, Lin A1 - Klose, Roland A1 - Schädle, Achim A1 - Schmidt, Frank T1 - A new Finite Element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D N2 - In this paper we propose a new finite element realization of the Perfectly Matched Layer method (PML-method). Our approach allows to deal with arbitrary shaped polygonal domains and with certain types of inhomogeneous exterior domains. Among the covered inhomogeneities are open waveguide structures playing an essential role in integrated optics. We give a detailed insight to implementation aspects. Numerical examples show exponential convergence behavior to the exact solution with the thickness of the PML sponge layer. T3 - ZIB-Report - 03-44 KW - transparent boundary conditions KW - perfectly matched layer KW - pole condition Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-7662 ER - TY - JOUR A1 - Zschiedrich, Lin A1 - Klose, Roland A1 - Schädle, Achim A1 - Schmidt, Frank T1 - A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D JF - J. Comput. Appl. Math. Y1 - 2006 U6 - https://doi.org/10.1016/j.cam.2005.03.047 VL - 188 SP - 12 EP - 32 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - März, Reinhard A1 - Burger, Sven A1 - Schmidt, Frank T1 - Efficient 3D Finite Element Simulation of Fiber-Chip Coupling T2 - Integrated Photonics Research and Applications/Nanophotonics Y1 - 2006 U6 - https://doi.org/10.1364/IPRA.2006.ITuF1 SP - ITuF1 ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Schmidt, Frank ED - Horiuchi, Toshiyuki T1 - Finite element simulation of light propagation in non-periodic mask patterns T2 - Photomask and Next-Generation Lithography Mask Technology XV Y1 - 2008 UR - http://arxiv.org/pdf/0804.2587v1 VL - 7028 PB - SPIE ER - TY - CHAP A1 - Zschiedrich, Lin A1 - Schmidt, Frank A1 - Pomplun, Jan A1 - Burger, Sven T1 - Finite elements for nano-optics applications T2 - Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM) Y1 - 2016 SN - 978-1-5108-4796-5 SP - 178 ER - TY - THES A1 - Zumbansen, Max T1 - Parameter estimation of multivalent processes on ITC datasets Y1 - 2019 ER - TY - GEN A1 - Zumbusch, Gerhard T1 - Visualizing Functions of the h-p-version of finite elements. N2 - Results from finite-element-calculations are usually visualized by colored surface- and contour-line-plots or polygonal patches or simply displaced lines and grids. In computer graphics however more advanced techniques like texture-mapping and NURBS are well established and there exist efficient algorithms and implementations. We show that these techniques are not only easy to use, but form a very natural and far more efficient approach for visualization of higher order finite-element's solutions like in $p$- and $h$-$p$-version. Texture-mapping is useful for displaying vector-valued data, too. T3 - ZIB-Report - TR-94-05 Y1 - 1994 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-5108 ER - TY - THES A1 - Zumbusch, Gerhard T1 - Simultanous h-p Adaption in Multilevel Finite Elements T3 - ZIB-Report - TR-95-14 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-5298 ER - TY - GEN A1 - Zumbusch, Gerhard T1 - Symmetric Hierarchical Polynomials and the Adaptive h-p-Version N2 - The $h$-$p$-version of finite-elements delivers a sub-exponential convergence in the energy norm. A step towards a full adaptive implementation is taken in the context of unstructured meshes of simplices with variable order $p$ in space. Both assumptions lead to desirable properties of shape functions like symmetry, $p$-hierarchy and simple coupling of elements. In a first step it is demonstrated that for standard polynomial vector spaces on simplices not all of these features can be obtained simultaneously. However, this is possible if these spaces are slightly extended or reduced. Thus a new class of polynomial shape functions is derived, which are especially well suited for three dimensional tetrahedra. The construction is completed by directly minimizing the condition numbers of the arising preconditioned local finite element matrices. The preconditioner is based on two-step domain decomposition techniques using a multigrid solver for the global linear problem $p=1$ and direct solvers for local higher order problems. Some numerical results concerning an adaptive (feedback) version of $h$-$p$ finite elements are presented. T3 - ZIB-Report - SC-95-18 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-1841 ER - TY - GEN A1 - Zumbusch, Gerhard T1 - Adaptive h-p approximation procedures, graded meshes and anisotropic refinement for Numerical Quadrature N2 - A set of adaptive algorithms for quadrature on multi-dimensional polyhedral domains is presented. Several kinds of refinement are discussed, covering local improvement of quadrature order and splitting the domain into sub-domains, resulting in isotropic, graded or anisotropic grids. The algorithms are pure local heuristics using no a priori knowledge or tuning parameters. This approach was motivated by results from finite element theory for optimal approximation results. Numerical experiments show the optimality of pure local greedy-like algorithms for singularity-type functions typically occurring in finite element computations. T3 - ZIB-Report - SC-95-24 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-1905 ER - TY - GEN A1 - Zumbusch, Gerhard T1 - Symmetric Hierarchical Polynomials for the h-p-Version of Finite Elements. N2 - Adaptive numerical methods using the $h$-$p$-version of finite elements require special kinds of shape functions. Desirable properties of them are symmetry, hierarchy and simple coupling. In a first step it is demonstrated that for standard polynomial vector spaces not all of these features can be obtained simultaneously. However, this is possible if these spaces are extended. Thus a new class of polynomial shape functions is derived, which is well-suited for the $p$- and $h$-$p$-version of finite elements on unstructured simplices. The construction is completed by minimizing the condition numbers of the arising finite element matrices. The new shape functions are compared with standard functions widely used in the literature. T3 - ZIB-Report - SC-93-32 Y1 - 1993 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-1275 ER - TY - GEN A1 - Zuse, Konrad T1 - Cellular Structured Space (Rechnender Raum) and Physical Phenomena. N2 - The problem of nonlocal correlation and symmetry in space is of great importance in physical phenomena like the \underline{Einstein-Poloski-Rosen-Paradox} and others. It is shown that in Cellular Automata (Rechnender Raum) the structure of the space offers solutions for such problems. T3 - ZIB-Report - TR-93-12 KW - Cellular Automata KW - Rechnender Raum KW - Digital Particle KW - Pattern KW - Grid KW - Grid Point KW - Nonlocal Correlation KW - Similarity Y1 - 1993 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-5039 ER - TY - GEN A1 - Zuse, Konrad T1 - Discrete Mathematics and Rechnender Raum (Computing Space) -Part 1-. Cellular Structured Space (Rechnender Raum) and Physical Phenomena -Part 2-. N2 - The first part of the report contains a lecture presented at ``Scientific Computing in der Theoretischen Physik'', a workshop organized by the DMV-Fachgruppe Scientific Computing in cooperation with the GAMM-Fachauschuß Scientific Computing at Freie Universit{ä}t Berlin in March 1994. To complete this lecture, a slightly modified version of TR 93-12 is appended. T3 - ZIB-Report - TR-94-10 Y1 - 1995 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-5156 ER - TY - THES A1 - Zwingel, Oliver T1 - Die Cross-Entropy-Methode für stochastische Optimierungsprobleme Y1 - 2015 ER - TY - THES A1 - Zymolka, Adrian T1 - Design of Survivable Optical Networks by Mathematical Optimization N2 - Abstract The cost-efficient design of survivable optical telecommunication networks is the topic of this thesis. In cooperation with network operators, we have developed suitable concepts and mathematical optimization methods to solve this comprehensive planning task in practice. Optical technology is more and more employed in modern telecommunication networks. Digital information is thereby transmitted as short light pulses through glass fibers. Moreover, the optical medium allows for simultaneous transmissions on a single fiber by use of different wavelengths. Recent optical switches enable a direct forwarding of optical channels in the network nodes without the previously required signal retransformation to electronics. Their integration creates ongoing optical connections,which are called lightpaths. We study the problem of finding cost-efficient configurations of optical networks which meet specified communication requirements. A configuration comprises the determination of all lightpaths to establish as well as the detailed allocation of all required devices and systems. We use a flexible modeling framework for a realistic representation of the networks and their composition. For different network architectures, we formulate integer linear programs which model the design task in detail. Moreover, network survivability is an important issue due to the immense bandwidths offered by optical technology. Operators therefore request for designs which perpetuate protected connections and guarantee for a defined minimum throughput in case of malfunctions. In order to achieve an effective realization of scalable protection, we present a novel survivability concept tailored to optical networks and integrate several variants into the models. Our solution approach is based on a suitable model decomposition into two subtasks which separates two individually hard subproblems and enables this way to compute cost-efficient designs with approved quality guarantee. The first subtask consists of routing the connections with corresponding dimensioning of capacities and constitutes a common core task in the area of network planning. Sophisticated methods for such problems have already been developed and are deployed by appropriate integration. The second subtask is characteristic for optical networks and seeks for a conflict-free assignment of available wavelengths to the lightpaths using a minimum number of involved wavelength converters. For this coloring-like task, we derive particular models and study methods to estimate the number of unavoidable conversions. As constructive approach, we develop heuristics and an exact branch-and-price algorithm. Finally, we carry out an extensive computational study on realistic data, provided by our industrial partners. As twofold purpose, we demonstrate the potential of our approach for computing good solutions with quality guarantee, and we exemplify its flexibility for application to network design and analysis. KW - network design KW - optical networks KW - integer programming KW - mathematical optimization Y1 - 2007 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-10408 ER - TY - GEN A1 - Zymolka, Adrian A1 - Koster, Arie M.C.A. A1 - Wessäly, Roland T1 - Transparent optical network design with sparse wavelength conversion N2 - We consider the design of transparent optical networks from a practical perspective. Network operators aim at satisfying the communication demands at minimum cost. Such an optimization involves three interdependent planning issues: the dimensioning of the physical topology, the routing of lightpaths, and the wavelength assignment. Further topics include the reliability of the configuration and sparse wavelength conversion for efficient use of the capacities. In this paper, we investigate this extensive optical network design task. Using a flexible device-based model, we present an integer programming formulation that supports greenfield planning as well as expansion planning on top of an existing network. As solution method, we propose a suitable decomposition approach that separates the wavelength assignment from the dimensioning and routing. Our method in particular provides a lower bound on the total cost which allows to rate the solution quality. Computational experiments on realistic networks approve the solution approach to be appropriate. T3 - ZIB-Report - 02-34 KW - optical network design KW - wavelength conversion KW - integer programming Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-7017 ER - TY - THES A1 - Zänker, Martin T1 - Estimating Human Face Reflectance from Single-Shot Multiview Data Y1 - 2017 ER - TY - THES A1 - Zöckler, Maja T1 - Modellgebundene Cranioplastie - Operationstechnik zur Umformung frühkindlicher Schädeldeformitäten unter Verwendung dreidimensionaler Standardformmodelle aus MRT-basierten Rekonstruktionen nicht deformierter Kinder Y1 - 2006 ER - TY - THES A1 - Zöckler, Malte T1 - Molekulardynamische Simulation des Wachstums zirkumstellarer Silikatstaubteilchen Y1 - 1997 ER - TY - GEN A1 - Zöckler, Malte A1 - Rein, Karlheinz A1 - Brandt, Robert A1 - Stalling, Detlev A1 - Hege, Hans-Christian T1 - Creating Virtual Insect Brains with Amira N2 - By combining techniques of preparation, histology, confocal microscopy, data visualization and data processing, we have created and recently published a standard brain model for drosophila and honey bee brains. This report describes the algorithms and implementation of the corresponding software modules. At the same time it serves as a user's guide for scientist who want to reproduce the results for differerent species or mutants. T3 - ZIB-Report - 01-32 KW - visualization KW - anatomical atlas Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6589 ER - TY - JOUR A1 - Zöckler, Malte A1 - Stalling, Detlev T1 - Using confocal microscopy and advanced 3-d visualization to investigate the Drosophila brain JF - Scientific Computing & Instrumentation Y1 - 2002 ER - TY - CHAP A1 - Zöckler, Malte A1 - Stalling, Detlev A1 - Hege, Hans-Christian T1 - Parallel Line Integral Convolution T2 - Proc. First Eurographics Workshop on Parallel Graphics and Visualization Y1 - 1996 U6 - https://doi.org/10.1016/S0167-8191(97)00039-2 SP - 111 EP - 128 CY - Bristol, U.K. ER - TY - CHAP A1 - Zöckler, Malte A1 - Stalling, Detlev A1 - Hege, Hans-Christian T1 - Interactive Visualization of 3D-Vector Fields Using Illuminated Streamlines T2 - Proc. IEEE Visualization 1996 Y1 - 1996 U6 - https://doi.org/10.1109/VISUAL.1996.567777 SP - 107 EP - 113 CY - San Fransisco ER - TY - JOUR A1 - Zöckler, Malte A1 - Stalling, Detlev A1 - Hege, Hans-Christian T1 - Fast and Intuitive Generation of Geometric Shape Transitions JF - The Visual Computer Y1 - 2000 U6 - https://doi.org/10.1007/PL00013396 VL - 16(5) SP - 241 EP - 253 ER - TY - GEN A1 - Zöckler, Malte A1 - Stalling, Detlev A1 - Hege, Hans-Christian T1 - Fast and Intuitive Generation of Geometric Shape Transitions N2 - We describe a novel method for continuously transforming two triangulated models of arbitrary topology into each other. Equal global topology for both objects is assumed, extensions for genus changes during metamorphosis are provided. The proposed method addresses the major challenge in 3D metamorphosis, namely specifying the morphing process intuitively, with minimal user interaction and sufficient detail. Corresponding regions and point features are interactively identified. These regions are parametrized automatically and consistently, providing a basis for smooth interpolation. Utilizing suitable 3D interaction techniques a simple and intuitive control over the whole morphing process is offered. T3 - ZIB-Report - SC-99-33 KW - morphing KW - surface parametrization KW - shape transition Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4219 ER - TY - JOUR A1 - Öttinger, Hans Christian A1 - Montefusco, Alberto A1 - Peletier, Mark A. T1 - A Framework of Nonequilibrium Statistical Mechanics. I. Role and Types of Fluctuations JF - Journal of Non-Equilibrium Thermodynamics N2 - Understanding the fluctuations by which phenomenological evolution equations with thermodynamic structure can be enhanced is the key to a general framework of nonequilibrium statistical mechanics. These fluctuations provide an idealized representation of microscopic details. We consider fluctuation-enhanced equations associated with Markov processes and elaborate the general recipes for evaluating dynamic material properties, which characterize force-flux constitutive laws, by statistical mechanics. Markov processes with continuous trajectories are conveniently characterized by stochastic differential equations and lead to Green–Kubo-type formulas for dynamic material properties. Markov processes with discontinuous jumps include transitions over energy barriers with the rates calculated by Kramers. We describe a unified approach to Markovian fluctuations and demonstrate how the appropriate type of fluctuations (continuous versus discontinuous) is reflected in the mathematical structure of the phenomenological equations. Y1 - 2021 U6 - https://doi.org/10.1515/jnet-2020-0068 VL - 46 IS - 1 SP - 1 EP - 13 PB - De Gruyter ER - TY - GEN A1 - Özel, M. Neset A1 - Kulkarni, Abhishek A1 - Hasan, Amr A1 - Brummer, Josephine A1 - Moldenhauer, Marian A1 - Daumann, Ilsa-Maria A1 - Wolfenberg, Heike A1 - Dercksen, Vincent J. A1 - Kiral, F. Ridvan A1 - Weiser, Martin A1 - Prohaska, Steffen A1 - von Kleist, Max A1 - Hiesinger, Peter Robin T1 - Serial synapse formation through filopodial competition for synaptic seeding factors N2 - Following axon pathfinding, growth cones transition from stochastic filopodial exploration to the formation of a limited number of synapses. How the interplay of filopodia and synapse assembly ensures robust connectivity in the brain has remained a challenging problem. Here, we developed a new 4D analysis method for filopodial dynamics and a data-driven computational model of synapse formation for R7 photoreceptor axons in developing Drosophila brains. Our live data support a 'serial synapse formation' model, where at any time point only a single 'synaptogenic' filopodium suppresses the synaptic competence of other filopodia through competition for synaptic seeding factors. Loss of the synaptic seeding factors Syd-1 and Liprin-α leads to a loss of this suppression, filopodial destabilization and reduced synapse formation, which is sufficient to cause the destabilization of entire axon terminals. Our model provides a filopodial 'winner-takes-all' mechanism that ensures the formation of an appropriate number of synapses. T3 - ZIB-Report - 19-45 KW - filopodia KW - growth cone dynamics KW - brain wiring KW - 2-photon microscopy KW - model Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-74397 SN - 1438-0064 ER - TY - CHAP A1 - Şahin, Güvenç A1 - Lindner, Niels A1 - Schlechte, Thomas ED - Pardalos, P. M. ED - Prokopyev, O. A. T1 - Line Planning Problem T2 - Encyclopedia of Optimization Y1 - 2023 SN - 978-3-030-54621-2 U6 - https://doi.org/10.1007/978-3-030-54621-2_782-1 SP - 1 EP - 6 PB - Springer International Publishing CY - Cham ER - TY - THES A1 - Şirin, Ege T1 - Probabilistic Image Segmentation With Continuous Shape Representations Y1 - 2023 ER - TY - JOUR A1 - Šofranac, Boro A1 - Gleixner, Ambros A1 - Pokutta, Sebastian T1 - An Algorithm-independent Measure of Progress for Linear Constraint Propagation JF - Constraints Y1 - 2022 U6 - https://doi.org/10.1007/s10601-022-09338-9 VL - 27 SP - 432 EP - 455 ER - TY - JOUR A1 - Šofranac, Boro A1 - Gleixner, Ambros A1 - Pokutta, Sebastian T1 - Accelerating domain propagation: An efficient GPU-parallel algorithm over sparse matrices JF - Parallel Computing N2 - • Currently, domain propagation in state-of-the-art MIP solvers is single thread only. • The paper presents a novel, efficient GPU algorithm to perform domain propagation. • Challenges are dynamic algorithmic behavior, dependency structures, sparsity patterns. • The algorithm is capable of running entirely on the GPU with no CPU involvement. • We achieve speed-ups of around 10x to 20x, up to 180x on favorably-large instances. Y1 - 2022 U6 - https://doi.org/10.1016/j.parco.2021.102874 VL - 109 SP - 102874 ER - TY - JOUR A1 - Żołnacz, Kinga A1 - Musiał, Anna A1 - Srocka, Nicole A1 - Große, Jan A1 - Schlösinger, Maximilian A1 - Schneider, Philipp-Immanuel A1 - Kravets, Oleh A1 - Mikulicz, Monika A1 - Olszewski, Jacek A1 - Poturaj, Krzysztof A1 - Wójcik, Grzegorz A1 - Mergo, Paweł A1 - Dybka, Kamil A1 - Dyrkacz, Mariusz A1 - Dłubek, Michał A1 - Rodt, Sven A1 - Burger, Sven A1 - Zschiedrich, Lin A1 - Sęk, Grzegorz A1 - Reitzenstein, Stephan A1 - Urbańczyk, Wacław T1 - Method for direct coupling of a semiconductor quantum dot to an optical fiber for single-photon source applications JF - Opt. Express Y1 - 2019 U6 - https://doi.org/10.1364/OE.27.026772 VL - 27 SP - 26772 ER -