ZIB

1

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Γ-convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems (2022)

Ayanbayev, Birzhan ; Klebanov, Ilja ; Lie, Han Cheng ; [et al.]

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Publication Date: 2022-03-11

Language: English

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2

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Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces (2022)

Ayanbayev, Birzhan ; Klebanov, Ilja ; Lie, Han Cheng ; [et al.]

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Publication Date: 2022-03-11

Language: English

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3

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Annual Report 2019 (2022)

Konrad-Zuse-Zentrum für Informationstechnik Berlin

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Publication Date: 2022-01-25

Language: English

Type: annualzib , doc-type:report

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4

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Spontaneous trail formation in populations of auto-chemotactic walkers (2022)

Mokhtari, Zahra ; Patterson, Robert I. A. ; Höfling, Felix

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Publication Date: 2022-02-03

Language: English

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5

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Annual Report 2020 (2022)

Konrad-Zuse-Zentrum für Informationstechnik Berlin

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Publication Date: 2022-01-25

Language: English

Type: annualzib , doc-type:report

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6

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Archivierungsstrategie für audiovisuelles Material (2022)

Dittmann, Antje ; Hasler, Tim ; Oltmanns, Elias

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Publication Date: 2022-03-14

Description: Im Rahmen ihrer Strategie zur Langzeitarchivierung forscht die Deutsche Kinemathek in einer Kooperation mit dem Zuse-Institut Berlin (ZIB) an der digitalen Langzeitarchivierung von AV-Materialien. Ausgangspunkt des Projektes sind die enormen Dateigrößen und die heterogenen Dateiformate, die einem Werk und einer Fassung zugeordnet werden müssen. Die Verwendung von persistenten Identifikatoren stellt den Lösungsansatz dar.

Language: German

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7

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An overview of graph covering and partitioning (2022)

Schwartz, Stephan

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Publication Date: 2022-03-29

Description: While graph covering is a fundamental and well-studied problem, this field lacks a broad and unified literature review. The holistic overview of graph covering given in this article attempts to close this gap. The focus lies on a characterization and classification of the different problems discussed in the literature. In addition, notable results and common approaches are also included. Whenever appropriate, this review extends to the corresponding partitioning problems.

Language: English

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8

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Timetable Optimization for a Moving Block System (2022)

Schlechte, Thomas ; Borndörfer, Ralf ; Denißen, Jonas ; [et al.]

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Publication Date: 2022-03-30

Description: We present an optimization model which is capable of routing and ordering trains on a microscopic level under a moving block regime. Based on a general timetabling definition (GTTP) that allows the plug in of arbitrarily detailed methods to compute running and headway times, we describe a layered graph approach using velocity expansion, and develop a mixed integer linear programming formulation. Finally, we present promising results for a German corridor scenario with mixed traffic, indicating that applying branch-and-cut to our model is able to solve reasonably sized instances with up to hundred trains to optimality.

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9

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A quantum key distribution testbed using a plug&play telecom-wavelength single-photon source (2022)

Gao, Timm ; Rickert, Lucas ; Urban, Felix ; [et al.]

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Publication Date: 2022-06-13

Language: English

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10

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Numerical optimization of single-mode fiber- coupled single-photon sources based on semiconductor quantum dots (2022)

Bremer, Lucas ; Jimenez, Carlos ; Thiele, Simon ; [et al.]

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Publication Date: 2022-06-13

Language: English

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11

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Improving perovskite/silicon tandem solar cells with optical simulations (2022)

Jäger, Klaus ; Sutter, Johannes ; Tockhorn, Philipp ; [et al.]

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Publication Date: 2022-06-13

Language: English

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12

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Source code and simulation results for nanoantennas supporting an enhanced Purcell factor due to interfering resonances (2022)

Colom, Remi ; Binkowski, Felix ; Betz, Fridtjof ; [et al.]

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Publication Date: 2022-06-13

Language: English

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13

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Timetable merging for the Periodic Event Scheduling Problem (2022)

Lindner, Niels ; Liebchen, Christian

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Publication Date: 2022-04-28

Description: We propose a new mixed integer programming based heuristic for computing new benchmark primal solutions for instances of the PESPlib. The PESPlib is a collection of instances for the Periodic Event Scheduling Problem (PESP), comprising periodic timetabling problems inspired by real-world railway timetabling settings, and attracting several international research teams during the last years. We describe two strategies to merge a set of good periodic timetables. These make use of the instance structure and minimum weight cycle bases, finally leading to restricted mixed integer programming formulations with tighter variable bounds. Implementing this timetable merging approach in a concurrent solver, we improve the objective values of the best known solutions for the smallest and largest PESPlib instances by 1.7 and 4.3 percent, respectively.

Language: English

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14

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Personal Digital Archiving: Eine neue Aufgabe für Öffentliche und Wissenschaftliche Bibliotheken (2022)

Zangerl, Lina Maria ; Peters-Kottig, Wolfgang ; Oßwald, Achim

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Publication Date: 2022-04-25

Description: Die Sicherung und längerfristige Archivierung persönlich relevanter Dokumente und Dateien, in der Fachliteratur als Personal Digital Archiving (PDA) bezeichnet, ist eine für Privatpersonen zunehmend wichtiger werdende Aufgabe. Praktische Anleitungen und weiterführende Hinweise zur Umsetzung dieser Aufgabe gibt die auf unterschiedliche Nutzer:innenperspektiven ausgerichtete Webseite meinDigitalesArchiv.de, die seit 2020 von der nestor-AG PDA bereitgestellt wird. Mit den Informationen dieser Webseite können und sollten Bibliotheken und andere Einrichtungen, die Informationskompetenz vermitteln, Privatpersonen für die Sicherung ihrer persönlichen digitalen Daten sensibilisieren und schulen. Mit der Umsetzung dieser Aufgabe können Öffentliche wie Wissenschaftliche Bibliotheken zur Sicherung auch gesamtgesellschaftlich relevanter Erinnerungsbausteine beitragen.

Language: German

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15

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大規模二次割当問題への挑戦 (2022)

Fujii, Koichi ; Ito, Naoki ; Kim, Sunyoung ; [et al.]

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Publication Date: 2022-05-13

Description: 二次割当問題は線形緩和が弱いことが知られ，強化のため多様な緩和手法が考案されているが，その一つである二重非負値計画緩和（ DNN 緩和）及びその解法として近年研究が進んでいるニュートン・ブラケット法を紹介し，それらに基づく分枝限定法の実装及び数値実験結果について報告する．

Language: Japanese

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16

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The tropical and zonotopal geometry of periodic timetables (2022)

Bortoletto, Enrico ; Lindner, Niels ; Masing, Berenike

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Publication Date: 2022-05-10

Description: The Periodic Event Scheduling Problem (PESP) is the standard mathematical tool for optimizing periodic timetabling problems in public transport. A solution to PESP consists of three parts: a periodic timetable, a periodic tension, and integer periodic offset values. While the space of periodic tension has received much attention in the past, we explore geometric properties of the other two components, establishing novel connections between periodic timetabling and discrete geometry. Firstly, we study the space of feasible periodic timetables, and decompose it into polytropes, i.e., polytopes that are convex both classically and in the sense of tropical geometry. We then study this decomposition and use it to outline a new heuristic for PESP, based on the tropical neighbourhood of the polytropes. Secondly, we recognize that the space of fractional cycle offsets is in fact a zonotope. We relate its zonotopal tilings back to the hyperrectangle of fractional periodic tensions and to the tropical neighbourhood of the periodic timetable space. To conclude we also use this new understanding to give tight lower bounds on the minimum width of an integral cycle basis.

Language: English

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17

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Optimizing transient gas network control for challenging real-world instances using MIP-based heuristics (2022)

Hennings, Felix ; Hoppmann-Baum, Kai ; Zittel, Janina

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Publication Date: 2022-05-24

Description: Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and non-convex nature of the physical and technical principles of gas transport. In this paper, we present the latest improvements of our ongoing work to solve this problem for real-world, large-scale problem instances: By adjusting our mixed-integer non-linear programming model regarding the gas compression capabilities in the network, we reflect the technical limits of the underlying units more accurately while maintaining a similar overall model size. In addition, we introduce a new algorithmic approach that is based on splitting the complexity of the problem by first finding assignments for discrete variables and then determining the continuous variables as locally optimal solution of the corresponding non-linear program. For the first task, we design multiple different heuristics based on concepts for general time-expanded optimization problems that find solutions by solving a sequence of sub-problems defined on reduced time horizons. To demonstrate the competitiveness of our approach, we test our algorithm on particularly challenging historic demand scenarios. The results show that high-quality solutions are obtained reliably within short solving times, making the algorithm well-suited to be applied at the core of time-critical industrial applications.

Language: English

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18

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Chiral Generation of Hot Carriers for Polarization-Sensitive Plasmonic Photocatalysis with Hybrid Nanostructures (2022)

Negrin-Montecelo, Yoel ; Movsesyan, Artur ; Gao, Jie ; [et al.]

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Publication Date: 2022-06-13

Language: English

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19

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Optical and Spin Properties of NV Center Ensembles in Diamond Nano-Pillars (2022)

Volkova, Kseniia ; Heupel, Julia ; Trofimov, Sergei ; [et al.]

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Publication Date: 2022-06-13

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20

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Reconstructing phase aberrations for high-precision dimensional microscopy (2022)

Schneider, Philipp-Immanuel ; Manley, Phillip ; Krüger, Jan ; [et al.]

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Publication Date: 2022-06-13

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21

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Visible wavelength spectral tuning of absorption and circular dichroism of DNA-assembled Au/Ag core-shell nanorod assemblies (2022)

Dass, Mihir ; Kuen, Lilli ; Posnjak, Gregor ; [et al.]

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Publication Date: 2022-06-13

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22

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Toward maximally electromagnetically chiral scatterers at optical frequencies (2022)

Garcia Santiago, Xavier ; Hammerschmidt, Martin ; Sachs, Johannes ; [et al.]

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Publication Date: 2022-06-15

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23

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Plasmonic nanocrystals with complex shapes for photocatalysis and growth: Contrasting anisotropic hot-electron generation with the photothermal effect (2022)

Movsesyan, Artur ; Santiago, Eva Yazmin ; Burger, Sven ; [et al.]

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Publication Date: 2022-06-27

Language: English

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24

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An analysis of the parameterized complexity of periodic timetabling (2022)

Lindner, Niels ; Reisch, Julian

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Publication Date: 2022-08-08

Description: Public transportation networks are typically operated with a periodic timetable. The periodic event scheduling problem (PESP) is the standard mathematical modeling tool for periodic timetabling. PESP is a computationally very challenging problem: For example, solving the instances of the benchmarking library PESPlib to optimality seems out of reach. Since PESP can be solved in linear time on trees, and the treewidth is a rather small graph parameter in the networks of the PESPlib, it is a natural question to ask whether there are polynomial-time algorithms for input networks of bounded treewidth, or even better, fixed-parameter tractable algorithms. We show that deciding the feasibility of a PESP instance is NP-hard even when the treewidth is 2, the branchwidth is 2, or the carvingwidth is 3. Analogous results hold for the optimization of reduced PESP instances, where the feasibility problem is trivial. Moreover, we show W[1]-hardness of the general feasibility problem with respect to treewidth, which means that we can most likely only accomplish pseudo-polynomial-time algorithms on input networks with bounded tree- or branchwidth. We present two such algorithms based on dynamic programming. We further analyze the parameterized complexity of PESP with bounded cyclomatic number, diameter, or vertex cover number. For event-activity networks with a special—but standard—structure, we give explicit and sharp bounds on the branchwidth in terms of the maximum degree and the carvingwidth of an underlying line network. Finally, we investigate several parameters on the smallest instance of the benchmarking library PESPlib.

Language: English

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25

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Adaptive Cut Selection in Mixed-Integer Linear Programming (2022)

Turner, Mark ; Koch, Thorsten ; Serrano, Felipe ; [et al.]

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Publication Date: 2022-08-08

Description: Cut selection is a subroutine used in all modern mixed-integer linear programming solvers with the goal of selecting a subset of generated cuts that induce optimal solver performance. These solvers have millions of parameter combinations, and so are excellent candidates for parameter tuning. Cut selection scoring rules are usually weighted sums of different measurements, where the weights are parameters. We present a parametric family of mixed-integer linear programs together with infinitely many family-wide valid cuts. Some of these cuts can induce integer optimal solutions directly after being applied, while others fail to do so even if an infinite amount are applied. We show for a specific cut selection rule, that any finite grid search of the parameter space will always miss all parameter values, which select integer optimal inducing cuts in an infinite amount of our problems. We propose a variation on the design of existing graph convolutional neural networks, adapting them to learn cut selection rule parameters. We present a reinforcement learning framework for selecting cuts, and train our design using said framework over MIPLIB 2017. Our framework and design show that adaptive cut selection does substantially improve performance over a diverse set of instances, but that finding a single function describing such a rule is difficult. Code for reproducing all experiments is available at https://github.com/Opt-Mucca/Adaptive-Cutsel-MILP.

Language: English

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26

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Tight Convex Relaxations for the Expansion Planning Problem (2022)

Lenz, Ralf (Dr.) ; Serrano, Felipe (Dr.)

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Publication Date: 2022-08-09

Description: Secure energy transport is considered as highly relevant for the basic infrastructure of nowadays society and economy. To satisfy increasing demands and to handle more diverse transport situations, operators of energy networks regularly expand the capacity of their network by building new network elements, known as the expansion planning problem. A key constraint function in expansion planning problems is a nonlinear and nonconvex potential loss function. In order to improve the algorithmic performance of state-of-the-art MINLP solvers, this paper presents an algebraic description for the convex envelope of this function. Through a thorough computational study, we show that this tighter relaxation tremendously improves the performance of the MINLP solver SCIP on a large test set of practically relevant instances for the expansion planning problem. In particular, the results show that our achievements lead to an improvement of the solver performance for a development version by up to 58%.

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27

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Effect of depth discontinuity on interfacial stability of tangential-velocity discontinuity in shallow-water flow (2022)

Le, Thi Thai (Dr.) ; Fukumoto, Yasuhide (Prof. Dr.)

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Publication Date: 2022-08-09

Description: It is well known as the Kelvin-Helmholtz instability (KHI) that an interface of tangential velocity discontinuity is necessarily unstable, regardless of the velocity difference's strength. However, the KHI is suppressed for shallow water flows if the Froude number, defined by the ratio of the velocity difference to the gravity wave's speed, is sufficiently large. In this investigation, we examine the effect of the depth difference of two fluid layers on the KHI. The depth difference enhances instability. Given the Froude number in the instability range, the growth rate sensitively depends on the depth ratio and increases monotonically with the depth ratio difference from unity. The critical value of the Froude number for stabilization varies with the depth ratio and attains the minimum value √8 for equal depth. This behavior is verified by asymptotic analysis.

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28

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Faster exact solution of sparse MaxCut and QUBO problems (2022)

Rehfeldt, Daniel ; Koch, Thorsten ; Shinano, Yuji

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Publication Date: 2022-08-09

Language: English

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29

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Chiral Bioinspired Plasmonics: A Paradigm Shift for Optical Activity and Photochemistry (2022)

Avalos-Ovando, Oscar ; Santiago, Eva Yazmin ; Movsesyan, Artur ; [et al.]

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Publication Date: 2022-08-03

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30

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Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators (2022)

Binkowski, Felix ; Betz, Fridtjof ; Hammerschmidt, Martin ; [et al.]

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Publication Date: 2022-08-10

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31

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Modeling the transition of the multimodal pan-European energy system including an integrated analysis of electricity and gas transport (2022)

Yueksel-Erguen, Inci ; Most, Dieter ; Wyrwoll, Lothar ; [et al.]

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Publication Date: 2022-09-21

Description: The European energy system has been through a fundamental transformation since the Paris Agreement to reduce greenhouse gas emissions. The transition involves several energy-generating and consuming sectors emphasizing sector coupling. The increase in the share of renewable energy sources has revealed the need for flexibility in the electri city grid. Thus, holistic planning of pathways towards decarbonized energy systems also involves assessing the gas infrastructure to provide such a flexibility and support for the security of supply. In this paper, we propose a workflow to investigate such optimal energy transition pathways considering sector coupling. This workflow involves an integrated operational analysis of the electricity market, its transmission grid, and the gas grid in high spatio-temporal resolution. In a case study on a pan-European scale between 2020-2050, we show that carbon neutrality can be reached within feasible additional costs and in time. However, the manifestation of the potential pathways strongly depends on political and technological constraints. Sector coupling acts as an enabler of cross-border cooperation to achieve both, decarbonization and security of supply.

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Ontogeny of a tessellated surface: carapace growth of the longhorn cowfish Lactoria cornuta (2022)

Eigen, Lennart ; Baum, Daniel ; Dean, Mason N. ; [et al.]

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Publication Date: 2022-08-24

Description: Biological armors derive their mechanical integrity in part from their geometric architectures, often involving tessellations: individual structural elements tiled together to form surface shells. The carapace of boxfish, for example, is comprised of mineralized polygonal plates, called scutes, arranged in a complex geometric pattern and nearly completely encasing the body. In contrast to artificial armors, the boxfish exoskeleton grows with the fish; the relationship between the tessellation and the gross structure of the armor is therefore critical to sustained protection throughout growth. To clarify whether or how the boxfish tessellation is maintained or altered with age, we quantify architectural aspects of the tessellated carapace of the longhorn cowfish Lactoria cornuta through ontogeny (across nearly an order of magnitude in standard length) and in a high-throughput fashion, using high-resolution microCT data and segmentation algorithms to characterize the hundreds of scutes that cover each individual. We show that carapace growth is canalized with little variability across individuals: rather than continually adding scutes to enlarge the carapace surface, the number of scutes is surprisingly constant, with scutes increasing in volume, thickness, and especially width with age. As cowfish and their scutes grow, scutes become comparatively thinner, with the scutes at the edges (weak points in a boxy architecture) being some of the thickest and most reinforced in younger animals and thinning most slowly across ontogeny. In contrast, smaller scutes with more variable curvature were found in the limited areas of more complex topology (e.g. around fin insertions, mouth, and anus). Measurements of Gaussian and mean curvature illustrate that cowfish are essentially tessellated boxes throughout life: predominantly zero curvature surfaces comprised of mostly flat scutes, and with scutes with sharp bends used sparingly to form box edges. Since growth of a curved, tiled surface with a fixed number of tiles would require tile restructuring to accommodate the surface’s changing radius of curvature, our results therefore illustrate a previously unappreciated advantage of the odd boxfish morphology: by having predominantly flat surfaces, it is the box-like body form that in fact permits a relatively straightforward growth system of this tessellated architecture (i.e. where material is added to scute edges). Our characterization of the ontogeny and maintenance of the carapace tessellation provides insights into the potentially conflicting mechanical, geometric and developmental constraints of this species, but also perspectives into natural strategies for constructing mutable tiled architectures.

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33

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Quantitative Analysis of Nonlinear MultifidelityOptimization for Inverse Electrophysiology (2022)

Chegini, Fatemeh ; Kopanicakova, Alena (Dr.) ; Weiser, Martin (Dr.) ; [et al.]

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Publication Date: 2022-08-29

Description: The electric conductivity of cardiac tissue determines excitation propagation and is important for quantifying ischemia and scar tissue and for building personalized models. Estimating conductivity distributions from endocardial mapping data is a challenging inverse problem due to the computational complexity of the monodomain equation, which describes the cardiac excitation. For computing a maximum posterior estimate, we investigate different optimization approaches based on adjoint gradient computation: steepest descent, limited memory BFGS, and recursive multilevel trust region methods, which are using mesh hierarchies or heterogeneous model hierarchies. We compare overall performance, asymptotic convergence rate, and pre-asymptotic progress on selected examples in order to assess the benefit of our multifidelity acceleration.

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34

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Annual Report 2021 (2022)

Konrad-Zuse-Zentrum für Informationstechnik Berlin

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Publication Date: 2022-09-29

Language: English

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35

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Bayesian Target-Vector Optimization for Efficient Parameter Reconstruction (2022)

Plock, Matthias ; Andrle, Kas ; Burger, Sven ; [et al.]

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Publication Date: 2022-10-14

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36

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Onset of Chirality in Plasmonic Meta-Molecules and Dielectric Coupling (2022)

Martens, Kevin ; Funck, Timon ; Santiago, Eva Y. ; [et al.]

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Publication Date: 2022-10-28

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37

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The Largest Unsolved QAP Instance Tai256c Can Be Converted into A 256-dimensional Simple BQOP with A Single Cardinality Constraint (2022)

Fujii, Koichi ; Kim, Sunyoung ; Kojima, Masakazu ; [et al.]

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Publication Date: 2022-10-28

Description: Tai256c is the largest unsolved quadratic assignment problem (QAP) instance in QAPLIB; a 1.48% gap remains between the best known feasible objective value and lower bound of the unknown optimal value. This paper shows that the instance can be converted into a 256 dimensional binary quadratic optimization problem (BQOP) with a single cardinality constraint which requires the sum of the binary variables to be 92.The converted BQOP is much simpler than the original QAP tai256c and it also inherits some of the symmetry properties. However, it is still very difficult to solve. We present an efficient branch and bound method for improving the lower bound effectively. A new lower bound with 1.36% gap is also provided.

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38

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Robust SDE-Based Variational Formulations for Solving Linear PDEs via Deep Learning (2022)

Richter, Lorenz ; Berner, Julius

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Publication Date: 2022-12-08

Description: The combination of Monte Carlo methods and deep learning has recently led to efficient algorithms for solving partial differential equations (PDEs) in high dimensions. Related learning problems are often stated as variational formulations based on associated stochastic differential equations (SDEs), which allow the minimization of corresponding losses using gradient-based optimization methods. In respective numerical implementations it is therefore crucial to rely on adequate gradient estimators that exhibit low variance in order to reach convergence accurately and swiftly. In this article, we rigorously investigate corresponding numerical aspects that appear in the context of linear Kolmogorov PDEs. In particular, we systematically compare existing deep learning approaches and provide theoretical explanations for their performances. Subsequently, we suggest novel methods that can be shown to be more robust both theoretically and numerically, leading to substantial performance improvements.

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39

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An optimal control perspective on diffusion-based generative modeling (2022)

Berner, Julius ; Richter, Lorenz ; Ullrich, Karen

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Publication Date: 2022-12-08

Description: We establish a connection between stochastic optimal control and generative models based on stochastic differential equations (SDEs) such as recently developed diffusion probabilistic models. In particular, we derive a Hamilton-Jacobi-Bellman equation that governs the evolution of the log-densities of the underlying SDE marginals. This perspective allows to transfer methods from optimal control theory to generative modeling. First, we show that the evidence lower bound is a direct consequence of the well-known verification theorem from control theory. Further, we develop a novel diffusion-based method for sampling from unnormalized densities -- a problem frequently occurring in statistics and computational sciences.

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40

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Progress in Mathematical Programming Solvers from 2001 to 2020 (2022)

Koch, Thorsten ; Berthold, Timo ; Pedersen, Jaap ; [et al.]

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Publication Date: 2022-12-08

Description: This study investigates the progress made in LP and MILP solver performance during the last two decades by comparing the solver software from the beginning of the millennium with the codes available today. On average, we found out that for solving LP/MILP, computer hardware got about 20 times faster, and the algorithms improved by a factor of about nine for LP and around 50 for MILP, which gives a total speed-up of about 180 and 1,000 times, respectively. However, these numbers have a very high variance and they considerably underestimate the progress made on the algorithmic side: many problem instances can nowadays be solved within seconds, which the old codes are not able to solve within any reasonable time.

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41

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New Ramsey Multiplicity Bounds and Search Heuristics (2022)

Parczyk, Olaf ; Pokutta, Sebastian ; Spiegel, Christoph ; [et al.]

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Publication Date: 2022-11-29

Description: We study two related problems concerning the number of monochromatic cliques in two-colorings of the complete graph that go back to questions of Erdős. Most notably, we improve the 25-year-old upper bounds of Thomason on the Ramsey multiplicity of K4 and K5 and we settle the minimum number of independent sets of size 4 in graphs with clique number at most 4. Motivated by the elusiveness of the symmetric Ramsey multiplicity problem, we also introduce an off-diagonal variant and obtain tight results when counting monochromatic K4 or K5 in only one of the colors and triangles in the other. The extremal constructions for each problem turn out to be blow-ups of a finite graph and were found through search heuristics. They are complemented by lower bounds and stability results established using Flag Algebras, resulting in a fully computer-assisted approach. More broadly, these problems lead us to the study of the region of possible pairs of clique and independent set densities that can be realized as the limit of some sequence of graphs.

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42

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Benders Decomposition for the Periodic Event Scheduling Problem (2022)

Lindner, Niels ; van Lieshout, Rolf

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Publication Date: 2022-11-03

Description: The Periodic Event Scheduling Problem (PESP) is the central mathematical model behind the optimization of periodic timetables in public transport. We apply Benders decomposition to the incidence-based MIP formulation of PESP. The resulting formulation exhibits particularly nice features: The subproblem is a minimum cost network flow problem, and feasibility cuts are equivalent to the well-known cycle inequalities by Odijk. We integrate the Benders approach into a branch-and-cut framework, and assess the performance of this method on instances derived from the benchmarking library PESPlib.

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Tropical Neighbourhood Search: A New Heuristic for Periodic Timetabling (2022)

Bortoletto, Enrico ; Lindner, Niels ; Masing, Berenike

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Publication Date: 2022-11-03

Description: Periodic timetabling is a central aspect of both the long-term organization and the day-to-day operations of a public transportation system. The Periodic Event Scheduling Problem (PESP), the combinatorial optimization problem that forms the mathematical basis of periodic timetabling, is an extremely hard problem, for which optimal solutions are hardly ever found in practice. The most prominent solving strategies today are based on mixed-integer programming, and there is a concurrent PESP solver employing a wide range of heuristics [Borndörfer et al., 2020]. We present tropical neighborhood search (tns), a novel PESP heuristic. The method is based on the relations between periodic timetabling and tropical geometry [Bortoletto et al., 2022]. We implement tns into the concurrent solver, and test it on instances of the benchmarking library PESPlib. The inclusion of tns turns out to be quite beneficial to the solver: tns is able to escape local optima for the modulo network simplex algorithm, and the overall share of improvement coming from tns is substantial compared to the other methods available in the solver. Finally, we provide better primal bounds for five PESPlib instances.

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22nd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2022) (2022)

D'Emidio, Mattia ; Lindner, Niels

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Publication Date: 2022-11-03

Description: OASIcs, Volume 106, ATMOS 2022, Complete Volume

Language: English

Type: proceedings , doc-type:Other

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45

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Nano-optical designs for high-efficiency monolithic perovskite–silicon tandem solar cells (2022)

Tockhorn, Philipp ; Sutter, Johannes ; Cruz, Alexandros ; [et al.]

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Publication Date: 2022-11-14

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46

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tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format (2022)

Lücke, Marvin ; Nüske, Feliks

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Publication Date: 2022-11-24

Description: Extracting information about dynamical systems from models learned off simulation data has become an increasingly important research topic in the natural and engineering sciences. Modeling the Koopman operator semigroup has played a central role in this context. As the approximation quality of any such model critically depends on the basis set, recent work has focused on deriving data-efficient representations of the Koopman operator in low-rank tensor formats, enabling the use of powerful model classes while avoiding over-fitting. On the other hand, detailed information about the system at hand can be extracted from models for the infinitesimal generator, also called Kolmogorov backward operator for stochastic differential equations. In this work, we present a data-driven method to efficiently approximate the generator using the tensor train (TT) format. The centerpiece of the method is a TT representation of the tensor of generator evaluations at all data sites. We analyze consistency and complexity of the method, present extensions to practically relevant settings, and demonstrate its applicability to benchmark numerical examples.

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Optimal Connected Subgraphs: Integer Programming Formulations and Polyhedra (2022)

Rehfeldt, Daniel ; Franz, Henriette ; Koch, Thorsten

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Publication Date: 2022-11-24

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48

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Location, transshipment and routing: An adaptive transportation network integrating long-haul and local vehicle routing (2022)

Hosada, Junko ; Maher, Stephen ; Shinano, Yuji ; [et al.]

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Publication Date: 2022-11-24

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49

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Rooted Maximum Weight Connected Subgraphs with Balancing and Capacity Constraints (2022)

Borndörfer, Ralf ; Schwartz, Stephan ; Surau, William

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Publication Date: 2022-11-24

Description: Finding connected subgraphs of maximum weight subject to additional constraints on the subgraphs is a common (sub)problem in many applications. In this paper, we study the Maximum Weight Connected Subgraph Problem with a given root node and a lower and upper capacity constraint on the chosen subgraph. In addition, the nodes of the input graph are colored blue and red, and the chosen subgraph is required to be balanced regarding its cumulated blue and red weight. This problem arises as an essential subproblem in district planning applications. We show that the problem is NP-hard and give an integer programming formulation. By exploiting the capacity and balancing condition, we develop a powerful reduction technique that is able to significantly shrink the problem size. In addition, we propose a method to strengthen the LP relaxation of our formulation by identifying conflict pairs, i.e., nodes that cannot be both part of a chosen subgraph. Our computational study confirms the positive impact of the new preprocessing technique and of the proposed conflict cuts.

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50

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Kernel Autocovariance Operators of Stationary Processes: Estimation and Convergence (2022)

Mollenhauer, Mattes ; Klus, Stefan ; Schütte, Christof ; [et al.]

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Publication Date: 2022-11-27

Description: We consider autocovariance operators of a stationary stochastic process on a Polish space that is embedded into a reproducing kernel Hilbert space. We investigate how empirical estimates of these operators converge along realizations of the process under various conditions. In particular, we examine ergodic and strongly mixing processes and obtain several asymptotic results as well as finite sample error bounds. We provide applications of our theory in terms of consistency results for kernel PCA with dependent data and the conditional mean embedding of transition probabilities. Finally, we use our approach to examine the nonparametric estimation of Markov transition operators and highlight how our theory can give a consistency analysis for a large family of spectral analysis methods including kernel-based dynamic mode decomposition.

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SepFree NMF: A Toolbox for Analyzing the Kinetics of Sequential Spectroscopic Data (2022)

Sechi, Renata ; Fackeldey, Konstantin (PD-DR) ; Chewle, Surahit ; [et al.]

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Publication Date: 2022-11-28

Description: This work addresses the problem of determining the number of components from sequential spectroscopic data analyzed by non-negative matrix factorization without separability assumption (SepFree NMF). These data are stored in a matrix M of dimension “measured times” versus “measured wavenumbers” and can be decomposed to obtain the spectral fingerprints of the states and their evolution over time. SepFree NMF assumes a memoryless (Markovian) process to underline the dynamics and decomposes M so that M=WH, with W representing the components’ fingerprints and H their kinetics. However, the rank of this decomposition (i.e., the number of physical states in the process) has to be guessed from pre-existing knowledge on the observed process. We propose a measure for determining the number of components with the computation of the minimal memory effect resulting from the decomposition; by quantifying how much the obtained factorization is deviating from the Markovian property, we are able to score factorizations of a different number of components. In this way, we estimate the number of different entities which contribute to the observed system, and we can extract kinetic information without knowing the characteristic spectra of the single components. This manuscript provides the mathematical background as well as an analysis of computer generated and experimental sequentially measured Raman spectra.

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ICLR 2022 Challenge for Computational Geomerty & Topology: Design and Results (2022)

Myers, Adele ; Utpala, Saiteja ; Talbar, Shubham ; [et al.]

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Publication Date: 2022-11-30

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53

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The Price of Symmetric Line Plans in the Parametric City (2022)

Masing, Berenike ; Lindner, Niels ; Borndörfer, Ralf

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Publication Date: 2022-12-01

Description: We consider the line planning problem in public transport in the Parametric City, an idealized model that captures typical scenarios by a (small) number of parameters. The Parametric City is rotation symmetric, but optimal line plans are not always symmetric. This raises the question to quantify the symmetry gap between the best symmetric and the overall best solution. For our analysis, we formulate the line planning problem as a mixed integer linear program, that can be solved in polynomial time if the solutions are forced to be symmetric. The symmetry gap is provably small when a specific Parametric City parameter is fixed, and we give an approximation algorithm for line planning in the Parametric City in this case. While the symmetry gap can be arbitrarily large in general, we show that symmetric line plans are a good choice in most practical situations.

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MaRDI - The mathematical Research Data Initiative (2022)

Reidelbach, Marco ; Weber, Marcus

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Publication Date: 2022-12-05

Language: English

Type: poster , doc-type:Other

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55

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Solving eigenvalue PDEs of metastable diffusion processes using artificial neural networks (2022)

Zhang, Wei (Dr.) ; Li, Tiejun (Prof.) ; Schütte, Christof (Dr.)

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Publication Date: 2022-12-05

Description: In this paper, we consider the eigenvalue PDE problem of the infinitesimal generators of metastable diffusion processes. We propose a numerical algorithm based on training artificial neural networks for solving the leading eigenvalues and eigenfunctions of such high-dimensional eigenvalue problem. The algorithm is useful in understanding the dynamical behaviors of metastable processes on large timescales. We demonstrate the capability of our algorithm on a high-dimensional model problem, and on the simple molecular system alanine dipeptide.

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56

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Multiple projection MCMC algorithms on submanifolds (2022)

Lelievre, Tony (Prof.) ; Stoltz, Gabriel (Prof.) ; Zhang, Wei (Dr.)

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Publication Date: 2022-12-05

Description: We propose new Markov Chain Monte Carlo algorithms to sample probability distributions on submanifolds, which generalize previous methods by allowing the use of set-valued maps in the proposal step of the MCMC algorithms. The motivation for this generalization is that the numerical solvers used to project proposed moves to the submanifold of interest may find several solutions. We show that the new algorithms indeed sample the target probability measure correctly, thanks to some carefully enforced reversibility property. We demonstrate the interest of the new MCMC algorithms on illustrative numerical examples.

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Statistical Analysis and Modeling for Detecting Regime Changes in Gas Nomination Time Series (2022)

Petkovic, Milena (Dr.) ; Zakiyeva, Nazgul (Dr.) ; Zittel, Janina (Dr.)

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Publication Date: 2022-12-06

Description: As a result of the legislation for gas markets introduced by the European Union in 2005, separate independent companies have to conduct the transport and trading of natural gas. The current gas market of Germany, which has a market value of more than 54 billion USD, consists of Transmission System Operators (TSO), network users, and traders. Traders can nominate a certain amount of gas anytime and anywhere in the network. Such unrestricted access for the traders, on the other hand, increase the uncertainty in the gas supply management. Some customers’ behaviors may cause abrupt structural changes in gas flow time series. In particular, it is a challenging task for the TSO operators to predict gas nominations 6 to 10 h-ahead. In our study, we aim to investigate the regime changes in time series of nominations to predict the 6 to 10 h-ahead of gas nominations.

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PIPELINE FOR SINGLE CELL SEQUENCING OF HUMAN CHONDROCYTE PELLET CULTURES TO DELINEATE IL-1β MODULATED CHANGES IN CELL HETEROGENEITY (2022)

Lang, Annemarie ; Vester, Antja ; Ferreira-Gomes, M. ; [et al.]

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Publication Date: 2022-12-09

Language: English

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KOBV-Sondernewsletter zum 25-jährigen Jubiläum (2022)

KOBV (Hrsg.)

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Publication Date: 2022-12-09

Description: Der Kooperative Bibliotheksverbund Berlin-Brandenburg wird heute 25 Jahre alt. Seit dem 1. April 1997 entwickelt der KOBV neue Dienstleistungen für Nutzende und Bibliotheken, baut Informationsinfrastrukturen in Berlin und Brandenburg aus, vernetzt Bibliotheken aus der Region und informiert über aktuelle Themen. Im Sondernewsletter geben uns aktuelle und ehemalige KOBV-Mitarbeitende/Mitglieder Antworten auf Fragen zur Entstehung und Weiterentwicklung des Verbundes. Lesen und feiern Sie mit uns zusammen!

Language: German

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DeepGreen: Eine Infrastruktur für die Open-Access-Transformation (2022)

Boltze, Julia ; Höllerl, Annika ; Kuberek, Monika ; [et al.]

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Publication Date: 2022-12-09

Description: Mit DeepGreen wurde eine Infrastruktur aufgebaut und etabliert, die Zeitschriftenartikel von wissenschaftlichen Verlagen abholt und berechtigten Bibliotheken zur Veröffentlichung in ihren Repositorien sendet. DeepGreen unterstützt Bibliotheken als Dienstleister für Hochschulen, außeruniversitäre Einrichtungen und die dort tätigen Wissenschaftler*innen, Publikationen auf Open-Access-Repositorien frei zugänglich zu machen und fördert das Zusammenspiel von wissenschaftlichen Einrichtungen und Verlagen. DeepGreen wurde von Januar 2016 bis Juni 2021 von der Deutschen Forschungsgemeinschaft gefördert und wird nun vom Kooperativen Bibliotheksverbund Berlin-Brandenburg, von der Bayerischen Staatsbibliothek und von der Universitätsbibliothek Erlangen-Nürnberg in arbeitsteiliger Eigenleistung für zwei Jahre weiterbetrieben. Der vorliegende Beitrag beleuchtet vielfältige Aspekte bei der Realisierung von DeepGreen und geht auf die Perspektiven dieser zentralen Open-Access-Infrastruktur für deutsche Wissenschaftseinrichtungen ein.

Language: German

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DeepGreen: Etablierung und Weiterentwicklung rechtssicherer Workflows zur effizienten Umsetzung von Open-Access-Komponenten in Lizenzvereinbarungen für wissenschaftliche Publikationen – Abschlussbericht (2022)

Bertelmann, Roland ; Koch, Thorsten ; Ceynowa, Klaus ; [et al.]

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Publication Date: 2022-12-09

Description: DeepGreen wurde vom 01.08.2018 bis zum 30.06.2021 in einer zweiten Projektphase von der Deutschen Forschungsgemeinschaft (DFG) gefördert. DeepGreen unterstützt Bibliotheken als Dienstleister für Hochschulen, außeruniversitäre Forschungseinrichtungen und die dort tätigen Wissenschaftler:innen dabei, Publikationen auf Open-Access-Repositorien frei zugänglich zu machen und fördert das Zusammenspiel von wissenschaftlichen Einrichtungen und Verlagen. An der zweiten Projektphase waren der Kooperative Bibliotheksverbund Berlin-Brandenburg, die Bayerische Staatsbibliothek, der Bibliotheksverbund Bayern, die Universitätsbibliotheken der Friedrich-Alexander-Universität Erlangen-Nürnberg und der Technischen Universität Berlin und das Helmholtz Open Science Office beteiligt. In dem Projekt wurde erfolgreich eine technische und organisatorische Lösung zur automatisierten Verteilung von Artikeldaten wissenschaftlicher Verlage an institutionelle und fachliche Repositorien entwickelt. In der zweiten Projektphase lag der Fokus auf der Erprobung der Datendrehscheibe in der Praxis und der Ausweitung auf weitere Datenabnehmer und weitere Verlage. Im Anschluss an die DFG-geförderte Projektlaufzeit ist DeepGreen in einen zweijährigen Pilotbetrieb übergegangen. Ziel des Pilotbetriebs ist es, den Übergang in einen bundesweiten Real-Betrieb vorzubereiten.

Language: German

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Determination of the ice composition near the surface of comet 67P/Churyumov-Gerasimenko (2022)

Läuter, Matthias (Dr.) ; Kramer, Tobias (Prof. Dr.) ; Rubin, Martin (Dr.) ; [et al.]

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Publication Date: 2022-12-16

Description: During the apparition of comet 67P/Churyumov-Gerasimenko (67P/C-G) solar irradiation causes varying rates for sublimation of volatile species from the cometary nucleus. Because sublimation processes take place close to the cometary surface, the relative abundance of volatiles in the coma and the ice composition are related to each other. To quantify this relation we assume a model for the expansion of a collisionless gas from the surface into the surrounding space. We use an inverse model approach to relate the in situ measurements of gas densities from the two Rosetta instruments COPS (COmet Pressure Sensor) and DFMS (Double Focusing Mass Spectrometer) at the positions of the spacecraft to the locations of surface gas emissions during the Rosetta mission 2014-2016. We assume the temporally integrated gas emissions to be representative for the ice composition close to the surface. Our analysis shows characteristic differences in the ice compositions between both hemispheres of 67P/C-G. In particular CO2 ice has a reduced abundance on the northern hemisphere. In contrast to the hemispherical differences, the two lobes do not show significant differences in terms of their ice composition.

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The near nucleus gas and dust environment around comet 67P/Churyumov-Gerasimenko (2022)

Kramer, Tobias (Prof. Dr.) ; Läuter, Matthias (Dr.)

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Publication Date: 2022-12-16

Description: The Rosetta mission to comet 67P/C-G provided a detailed view of the near nucleus environment of an active Jupiter family comet. The continuous monitoring of the gas pressure with the ROSINA experiment at the location of the Rosetta spacecraft in combination with the images of the dust environment acquired by the OSIRIS cameras allows one to test different hypotheses about the origin of the dust and gas emissions. In addition the orbital elements and the rotation axis and spin rate of the nucleus are affected by the gas release.

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Lunar regolith properties derived from LRO/Diviner data and thermophysical modelling (2022)

Bürger, Johanna ; Gundlach, Bastian (Dr.) ; Blum, Jürgen (Prof. Dr.) ; [et al.]

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Publication Date: 2022-12-16

Description: The Moon as our nearest celestial object is one of the most important bodies for space resource exploration and planetary science. However, knowledge of the physical properties of the lunar regolith is required for the exploitation of lunar resources and for understanding the Moon's geologic history. This knowledge comes mainly from Apollo in-situ experiments and returned samples, but the global distribution of these properties is still poorly understood. Remote sensing measurements offer the opportunity to derive properties of unsampled areas with the help of models. In our study, a microphysical thermal model for the lunar regolith was developed and the simulated surface temperatures were compared with thermal emission measurements from the Diviner radiometer on board the Lunar Reconnaissance Orbiter (LRO) to derive regolith properties. This work expands upon previous investigations of lunar regolith properties using Diviner data, by more directly simulating physical properties such as particle size and porosity.

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Navigation of Concentric Tube Continuum Robots using Optimal Control (2022)

Dhanakoti, Siva Prasad Chakri ; Maddocks, John (Prof. Dr.) ; Weiser, Martin (Dr.)

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Publication Date: 2022-12-14

Description: Recently developed Concentric Tube Continuum Robots (CTCRs) are widely exploited in, for example in minimally invasive surgeries which involve navigating inside narrow body cavities close to sensitive regions. These CTCRs can be controlled by extending and rotating the tubes in order to reach a target point or perform some task. The robot must deviate as little as possible from this narrow space and avoid damaging neighbouring tissue. We consider \emph{open-loop} optimal control of CTCRs parameterized over pseudo-time, primarily aiming at minimizing the robot's working volume during its motion. External loads acting on the system like tip loads or contact with tissues are not considered here. We also discussed the inclusion of tip's orientation in the optimal framework to perform some tasks. We recall a quaternion-based formulation of the robot configuration, discuss discretization, develop optimization objectives addressing different criteria, and investigate their impact on robot path planning for several numerical examples. This optimal framework can be applied to any backbone based continuum robots.

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Active Segmentation: Differential Geometry meets Machine Learning (2022)

Prodanov, Dimiter ; Vohra, Sumit Kumar

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Publication Date: 2022-12-13

Description: Image segmentation is an active area of research for more than 30 years. Traditional image segmentation algorithms are problem-specific and limited in scope. On the other hand, machine learning offers an alternative paradigm where predefined features are combined into different classifiers, providing pixel-level classification and segmentation. However, machine learning only can not address the question as to which features are appropriate for a certain classification problem. This paper presents a project supported in part by the International Neuroinformatics Coordination Facility through the Google Summer of code. The project resulted in an automated image segmentation and classification platform, called Active Segmentation for ImageJ (AS/IJ). The platform integrates a set of filters computing differential geometrical invariants and combines them with machine learning approaches.

Language: English

Type: conferenceobject , doc-type:conferenceObject

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67

Unknown

Mathematical modelling of follicular growth and ovarian stimulation (2022)

Fischer-Holzhausen, Sophie ; Röblitz, Susanna (Prof. Dr.)

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Publication Date: 2022-12-20

Language: English

Type: article , doc-type:article

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68

Unknown

Enhanced Purcell factor for nanoantennas supporting interfering resonances (2022)

Colom, Remi ; Binkowski, Felix ; Betz, Fridtjof ; [et al.]

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Publication Date: 2022-12-21

Language: English

Type: article , doc-type:article

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Overview

69

Unknown

Parallelization of large-scale agent-based epidemiological simulations (2022)

Fürst, Steffen ; Rakow, Christian

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Publication Date: 2022-12-19

Description: Agent-based epidemiological models have been applied widely successfully during the SARS-CoV-2 pandemic and assisted policymakers in assessing the effectiveness of intervention strategies. The computational complexity of agent-based models is still challenging, and therefore it is important to utilize modern multi-core systems as good as possible. In this paper, we are presenting our work on parallelizing the epidemiological simulation model MATSim Episim. Episim combines a large-scale person-centric human mobility model with a mechanistic model of infection and a person-centric disease progression model. In general, the parallelization of agent-based models with an inherent sequential structure — in the case of epidemiological models, the temporal order of the individual movements of the agents — is challenging. Especially when the underlying social network is irregular and dynamic, they require frequent communication between the processing elements. In Episim, however, we were able to take advantage of the fact that people are not contagious on the same day they become infected, and therefore immediate health synchronization is not required. By parallelizing some of the most computationally intensive submodels, we are now able to run MATSim Episim simulations up to eight times faster than the serial version. This makes it feasible to increase the number of agents, e.g. to run simulations for the whole of Germany instead of just Berlin as before.

Language: English

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70

Journal/Serial

SIGBIO newsletter / (from 1969-2001)

Association for Computing Machinery / Special Interest Group on Biomedical Computing

New York, NY :ACM, ; 1.1969 - 7.1975/76; N.S. 1.1976 - 21.2001,1; damit Ersch. eingest.

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Title: SIGBIO newsletter /

Author: Association for Computing Machinery / Special Interest Group on Biomedical Computing

Publisher: New York, NY :ACM,

Year of publication: 1969-2001

Dates of Publication: 1.1969 - 7.1975/76; N.S. 1.1976 - 21.2001,1; damit Ersch. eingest.

ISSN: 0163-5697

Type of Medium: Journal/Serial

Language: Undetermined

Parallel Title: Internetausg. ---〉:Biomedical computing

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Zuse Institute Berlin

71

Book

Computer personnel : a quarterly publ. of the Special Interest Group on Computer Personnel Research, SIGCPR (1971-1999)

New York, NY :ACM, ; Nachgewiesen 2.1971 - 20.1999,4; damit Ersch. eingest.

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Title: Computer personnel : a quarterly publ. of the Special Interest Group on Computer Personnel Research, SIGCPR

Publisher: New York, NY :ACM,

Year of publication: 1971-1999

Dates of Publication: Nachgewiesen 2.1971 - 20.1999,4; damit Ersch. eingest.

ISSN: 0160-2497

Type of Medium: Book

Parallel Title: Internetausg. ---〉:Computer personnel

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Zuse Institute Berlin

72

Journal/Serial

SIGNUM newsletter (from 1969-1998)

Association for Computing Machinery / Special Interest Group on Numerical Mathematics

New York, NY :ACM, ; 4.1969 - 33.1998,2; damit Ersch. eingest

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Title: SIGNUM newsletter

Author: Association for Computing Machinery / Special Interest Group on Numerical Mathematics

Publisher: New York, NY :ACM,

Year of publication: 1969-1998

Dates of Publication: 4.1969 - 33.1998,2; damit Ersch. eingest

ISSN: 0163-5778

Type of Medium: Journal/Serial

Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Committee on Numerical Mathematics: SICNUM newsletter

Additional Information: 16,3=3,2 von:Association for Computing Machinery / Technical Committee on Fortran: FORTEC forum

Parallel Title: Internetausg. ---〉:Numerical mathematics

URL: Nur Table of Contents.

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Zuse Institute Berlin

73

Book

Online : erfolgreiches Informationsmanagement, ADI-Nachrichten, ÖVD ; Organ d. ADI - Anwenderverband Deutscher Informationsverarbeiter e.V (1973-1997)

Anwenderverband Deutscher Informationsverarbeiter

Bergheim :DATACOM-Zeitschriften-Verl., | Köln Müller -1993,9 ; 11.1973 - 14.1976; 19.1981 - 20.1982; 1983 - 1994; 32.1995 - 34.1997,10

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Title: Online : erfolgreiches Informationsmanagement, ADI-Nachrichten, ÖVD ; Organ d. ADI - Anwenderverband Deutscher Informationsverarbeiter e.V

Contributer: Anwenderverband Deutscher Informationsverarbeiter

Publisher: Bergheim :DATACOM-Zeitschriften-Verl., , Köln Müller -1993,9

Year of publication: 1973-1997

Dates of Publication: 11.1973 - 14.1976; 19.1981 - 20.1982; 1983 - 1994; 32.1995 - 34.1997,10

ISSN: 0340-1545 , 0179-6623 , 0342-9393

Type of Medium: Book

Language: Undetermined

Former Title: Vorg. ---〉:Zeitschrift für Datenverarbeitung

Subsequent Title: 15.1977 - 18.1980 ---〉:ADL-Verband für Informationsverarbeitung: ADL-Nachrichten, Online

Subsequent Title: Aufgeg. in ---〉:Information week

Note: Später ohne Zählung

Additional Information: Beil. ---〉:Drucker spezial

Additional Information: Beil. ---〉:Online / special

Additional Information: Darin ---〉:Anwenderverband Deutscher Informationsverarbeiter: ADI-Nachrichten, ÖVD

Additional Information: Beil. ---〉:Pro info

Additional Information: Beil. ---〉:Online-Info

Additional Information: 1996 darin ---〉:Datacom-Special

Parallel Title: 19.1981 auch in ---〉:Öffentliche Verwaltung und Datenverarbeitung

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Zuse Institute Berlin

74

Journal/Serial

SIGMICRO newsletter : a quarterly publ. of the Special Interest Group on Microprogramming (from 1971-1995)

Association for Computing Machinery / Special Interest Group on Microprogramming

New York, NY :ACM, ; 2.1971/72 - 16.1985; 19.1988 - 26.1995; damit Ersch. eingest.

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Title: SIGMICRO newsletter : a quarterly publ. of the Special Interest Group on Microprogramming

Author: Association for Computing Machinery / Special Interest Group on Microprogramming

Publisher: New York, NY :ACM,

Year of publication: 1971-1995

Dates of Publication: 2.1971/72 - 16.1985; 19.1988 - 26.1995; damit Ersch. eingest.

ISSN: 0163-5751 , 1050-916X

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Committee on Microprocessing: SICMICRO newsletter

Subsequent Title: 17.1986 - 18.1987 ---〉:Association for Computing Machinery / Special Interest Group on Microprogramming: SIGMICRO TCMICRO newsletter

Additional Information: Beil. ---〉:Microprogramming bibliography

Additional Information: 9,4=11; 12,4=14; 13,4=15 von:Micro

Additional Information: 20,3=22 von:International Workshop on Microprogramming and Microarchitecture: Annual International Workshop on Microprogramming and Microarchitecture

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Zuse Institute Berlin

75

Journal/Serial

Zeitschrift für Operations-Research : ZOR ; mathematical methods of operations research (from 1972-1995)

Heidelberg :Physica-Verl., ; 16.1972 - 42.1995

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Title: Zeitschrift für Operations-Research : ZOR ; mathematical methods of operations research

Publisher: Heidelberg :Physica-Verl.,

Year of publication: 1972-1995

Dates of Publication: 16.1972 - 42.1995

ISSN: 0340-9422

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Ablauf- und Planungsforschung

Subsequent Title: Forts. ---〉:Mathematical methods of operations research

Note: Ser. A, Theorie = H. 1,3,5,7 d. Jg.; Ser. B, Praxis = H. 2,4,6,8 d. Jg. , Deutsche Gesellschaft für Operations-Research

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76

Journal/Serial

Annual review in automatic programming (from 1960-1995)

Oxford [u.a.] :Pergamon Press, ; 1.1960 - 19.1995

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Title: Annual review in automatic programming

Publisher: Oxford [u.a.] :Pergamon Press,

Year of publication: 1960-1995

Dates of Publication: 1.1960 - 19.1995

ISSN: 0066-4138

Type of Medium: Journal/Serial

Language: Undetermined

Subsequent Title: Forts. ---〉:Annual reviews in control

Additional Information: 1=3; 2=6, 3=11, 4=12; 5=13,2 von:International tracts in computer science and technology and their application

Additional Information: 8=7; 9,2/3=8; 10=10; 11=11; 13,1=13; 14,1=15 von:Real time programming

Additional Information: 12,1-12,2=2 von:Systems analysis and simulation

Additional Information: 13,2=5 von:Control applications of nonlinear programming and optimization

Parallel Title: Internetausg. ---〉:Annual reviews in control

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Zuse Institute Berlin

77

Journal/Serial

IBM-Nachrichten / (from 1972-1995)

IBM Deutschland GmbH 〈Stuttgart〉

Stuttgart :IBM, ; 22.1972,Apr. - 45.1995 = Nr. 210-323; damit Ersch. eingest.

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Title: IBM-Nachrichten /

Author: IBM Deutschland GmbH 〈Stuttgart〉

Publisher: Stuttgart :IBM,

Year of publication: 1972-1995

Dates of Publication: 22.1972,Apr. - 45.1995 = Nr. 210-323; damit Ersch. eingest.

ISSN: 0018-8662

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Internationale Büro-Maschinen-Gesellschaft Deutschland 〈Sindelfingen〉: IBM-Nachrichten

Additional Information: Beil. ---〉:Hollerith-Mitteilungen

Parallel Title: CD-ROM-Ausg. ---〉:IBM Deutschland GmbH 〈Stuttgart〉: IBM-Nachrichten

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Zuse Institute Berlin

78

Journal/Serial

Nachrichtentechnische Zeitschrift : NTZ ; Zeitschrift für Informationstechnik u. Telekommunikation ; Organ der Nachrichtentechnischen Gesellschaft im VDE (from 1955-1995)

Nachrichtentechnische Gesellschaft / Fachausschuß Informationsverarbeitung

Berlin :VDE-Verl., ; 8.1955,10 - 40.1987,2; 40.1987,6 - 48.1995,2

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Details

Title: Nachrichtentechnische Zeitschrift : NTZ ; Zeitschrift für Informationstechnik u. Telekommunikation ; Organ der Nachrichtentechnischen Gesellschaft im VDE

Contributer: Nachrichtentechnische Gesellschaft / Fachausschuß Informationsverarbeitung

Publisher: Berlin :VDE-Verl.,

Year of publication: 1955-1995

Dates of Publication: 8.1955,10 - 40.1987,2; 40.1987,6 - 48.1995,2

ISSN: 0027-707X

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Fernmeldetechnische Zeitschrift

Subsequent Title: 40.1987,3-5 u. Forts. ---〉:NTZ

Note: Mikro-Elektronik

Additional Information: Beih. ---〉:Nachrichtentechnische Fachberichte

Additional Information: Index 1/10=11 von:Nachrichtentechnische Fachberichte

Parallel Title: CD-ROM-Ausg. 1994 - 1995 ---〉:Elektronisches Zeitschriftenarchiv

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Zuse Institute Berlin

79

Book

Data-base 〈New York,NY〉 : db ; a quarterly publication of the Special Interest Group on Business Information Technology of the Association for Computing Machinery (1971-1994)

Association for Computing Machinery / Special Interest Group on Business Data Processing ; Association for Computing Machinery / Special Interest Group on Business Information Technology

New York, NY, ; 3.1971 - 25.1994

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Details

Title: Data-base 〈New York,NY〉 : db ; a quarterly publication of the Special Interest Group on Business Information Technology of the Association for Computing Machinery

Contributer: Association for Computing Machinery / Special Interest Group on Business Data Processing , Association for Computing Machinery / Special Interest Group on Business Information Technology

Publisher: New York, NY,

Year of publication: 1971-1994

Dates of Publication: 3.1971 - 25.1994

ISSN: 0095-0033

Type of Medium: Book

Former Title: Vorg. ---〉 SIGBDP news-letter

Subsequent Title: Forts. ---〉:¬The¬ data-base for advances in information systems

Additional Information: Einzelne Bd. zugl. Bd. von:Association for Computing Machinery / Special Interest Group on Management of Data: SIGMOD record

Additional Information: 12,4u.13,1=2 von:Data-base directions

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Zuse Institute Berlin

80

Journal/Serial

International journal of man machine studies (from 1969-1993)

London [u.a.], ; 1.1969 - 39.1993

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Title: International journal of man machine studies

Publisher: London [u.a.],

Year of publication: 1969-1993

Dates of Publication: 1.1969 - 39.1993

ISSN: 0020-7373

Type of Medium: Journal/Serial

Language: Undetermined

Subsequent Title: Forts. ---〉:International journal of human - computer studies

Note: Index 1/4.1969/72 in: 4.1972

Additional Information: 10,3=5 von:Man Computer Communications Conference: Proceedings

Parallel Title: Internetausg. ---〉:International journal of man machine studies

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Zuse Institute Berlin

81

Journal/Serial

SIGACT news : publ. by the ACM Special Interest Group on Automata and Computability Theory (from 1969-1992)

Association for Computing Machinery / Special Interest Group on Automata and Computability Theory

New York, NY :ACM, ; 1.1969 - 23.1992,2 = Nr. 1-83

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Title: SIGACT news : publ. by the ACM Special Interest Group on Automata and Computability Theory

Author: Association for Computing Machinery / Special Interest Group on Automata and Computability Theory

Contributer: Association for Computing Machinery / Special Interest Committee on Automata and Computability Theory

Publisher: New York, NY :ACM,

Year of publication: 1969-1992

Dates of Publication: 1.1969 - 23.1992,2 = Nr. 1-83

ISSN: 0163-5700

Type of Medium: Journal/Serial

Subsequent Title: Forts. ---〉:Association for Computing Machinery / Special Interest Group on Algorithms and Computation Theory: SIGACT news

Additional Information: In 12.1980,2 Index 1/12.1969/80 von ---〉:Symposium on Theory of Computing: Conference record of the ... annual ACM Symposium on Theory of Computing

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Zuse Institute Berlin

82

Journal/Serial

SIGPLAN notices : a monthly publication of the Special Interest Group on Programming Languages of the Association for Computing Machinery (from 1966-1991)

Association for Computing Machinery / Special Interest Group on Programming Languages

New York, NY :ACM, ; 1.1966 - 26.1991,9u.11

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Title: SIGPLAN notices : a monthly publication of the Special Interest Group on Programming Languages of the Association for Computing Machinery

Author: Association for Computing Machinery / Special Interest Group on Programming Languages

Publisher: New York, NY :ACM,

Year of publication: 1966-1991

Dates of Publication: 1.1966 - 26.1991,9u.11

ISSN: 0362-1340

Type of Medium: Journal/Serial

Language: Undetermined

Subsequent Title: 26.1991,10 u. Forts. ---〉:Association for Computing Machinery / Special Interest Group on Programming Languages: ACM SIGPLAN notices

Additional Information: 6,2=1971 von:Symposium on Data Structures in Programming Languages: Proceedings of a Symposium on Data Structures in Programming Languages

Additional Information: 17,4=10,2; 22,10=15,5; 24,spec.iss.=17,2; 26,4=19,2 von:Computer architecture news

Additional Information: 21,10=1986 von:Workshop on Object Oriented Programming: Transcript

Additional Information: 11,6=10,1 von:Computer graphics

Additional Information: 16,6=2,1/2 von:Association for Computing Machinery / Special Interest Group on Office Automation: SIGOA newsletter

Additional Information: 14,8=1979; 17,6=1982; 19,6=1984; 21,7=1986 von:Symposium on Compiler Construction: Proceedings of the SIGPLAN Symposium on Compiler Construction

Additional Information: 20,7=1985 von:Symposium on Language Issues in Programming Environments: Proceedings of the ACM SIGPLAN ... Symposium on Language Issues in Programming Environments

Additional Information: 19,5=1; 22,1=2; 24,2=3 von:Software Engineering Symposium on Practical Software Development Environments: Proceedings of the ACM SIGSOFT SIGPLAN Software Engineering Symposium on Practical Software Development Environments

Additional Information: 22,10=2; 24,spec.iss.=3 von:International Conference on Architectural Support for Programming Languages and Operating Systems: Proceedings

Additional Information: 23,7=1988; 24,7=1989; 25,6=1990 von:Conference on Programming Language Design and Implementation: Proceedings of the SIGPLAN ... Conference on Programming Language Design and Implementation

Additional Information: 21,11=1; 22,12=2; 23,11=3; 24,10=4 von:OOPSLA: Conference proceedings

Additional Information: 22,10=21,4; 24,spec.iss.=23,spec.iss.; 26,4=25,spec.iss. von:Operating systems review

Additional Information: 17,4=1982 von:Symposium on Architectural Support for Programming Languages and Operating Systems: Proceedings

URL: 5.1970 - 34.1999: Contents; 35.2000 -: Volltexte

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83

Journal/Serial

Angewandte Informatik : Applied informatics (from 1971-1989)

Braunschweig ; Wiesbaden :Vieweg, ; 13.1971 - 31.1989

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Title: Angewandte Informatik : Applied informatics

Publisher: Braunschweig ; Wiesbaden :Vieweg,

Year of publication: 1971-1989

Dates of Publication: 13.1971 - 31.1989

ISSN: 0013-5704

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Elektronische Datenverarbeitung

Additional Information: Beil. CAK

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Zuse Institute Berlin

84

Journal/Serial

SIGART newsletter : a bimonthly publ. of the ACM Special Interest Group on Artificial Intelligence (from 1969-1989)

Association for Computing Machinery / Special Interest Group on Artificial Intelligence

New York, NY :ACM, ; Nachgewiesen Nr. 15.1969 - 110.1989

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Title: SIGART newsletter : a bimonthly publ. of the ACM Special Interest Group on Artificial Intelligence

Author: Association for Computing Machinery / Special Interest Group on Artificial Intelligence

Publisher: New York, NY :ACM,

Year of publication: 1969-1989

Dates of Publication: Nachgewiesen Nr. 15.1969 - 110.1989

ISSN: 0163-5719

Type of Medium: Journal/Serial

Subsequent Title: Forts. ---〉:Association for Computing Machinery / Special Interest Group on Artificial Intelligence: SIGART bulletin

Additional Information: 73=1; 80=2 von:Workshop on Distributed AI: Report on the Workshop on Distributed AI

Additional Information: 84=3 von:Workshop on Distributed Artificial Intelligence: Report on the ... Annual Workshop on Distributed Artificial Intelligence

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Zuse Institute Berlin

85

Journal/Serial

Mathematical programming / (from 1971-1987)

Mathematical Programming Society

Amsterdam :North-Holland Publ., ; 1.1971 - 39.1987

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Title: Mathematical programming /

Contributer: Mathematical Programming Society

Publisher: Amsterdam :North-Holland Publ.,

Year of publication: 1971-1987

Dates of Publication: 1.1971 - 39.1987

ISSN: 0025-5610

Type of Medium: Journal/Serial

Note: Teils ohne Unterreihenbez.

Additional Information: 1,1-3=7; 4-5=8 von:International Mathematical Programming Symposium: Proceedings of the ... International Mathematical Programming Symposium

URL: http://www.springerlink.com/content/103081/

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Zuse Institute Berlin

86

Journal/Serial

Mathematical programming /; Study (from 1974-1987)

Mathematical Programming Society

Amsterdam :North-Holland Publ. Co., ; 1.1974 - 31.1987.

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Title: Mathematical programming /; Study

Contributer: Mathematical Programming Society

Publisher: Amsterdam :North-Holland Publ. Co.,

Year of publication: 1974-1987

Dates of Publication: 1.1974 - 31.1987.

ISSN: 0303-3929

Type of Medium: Journal/Serial

Subsequent Title: :Mathematical programming / B

Additional Information: 13:Conference on Combinatorial Optimization: Conference on Combinatorial Optimization

Additional Information: 27-28:Stochastic programming

Additional Information: 22:Mathematical programming at Oberwolfach

Additional Information: :Combinatorial optimization

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Zuse Institute Berlin

87

Journal/Serial

Information and control (from 1957-1986)

New York, NY [u.a.] :Academ. Pr., ; 1.1957/58 - 71.1986

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Title: Information and control

Publisher: New York, NY [u.a.] :Academ. Pr.,

Year of publication: 1957-1986

Dates of Publication: 1.1957/58 - 71.1986

ISSN: 0019-9958

Type of Medium: Journal/Serial

Subsequent Title: Forts. ---〉:Information and computation

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Zuse Institute Berlin

88

Book

Elektronische Rechenanlagen : Informationstechnik: Computer, Systeme, Anwendungen (1959-1985)

Nachrichtentechnische Gesellschaft / Fachausschuß Informationsverarbeitung

München ; Wien :Oldenbourg, ; 1.1959 - 16.1974,5; 27.1985

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Title: Elektronische Rechenanlagen : Informationstechnik: Computer, Systeme, Anwendungen

Contributer: Nachrichtentechnische Gesellschaft / Fachausschuß Informationsverarbeitung

Publisher: München ; Wien :Oldenbourg,

Year of publication: 1959-1985

Dates of Publication: 1.1959 - 16.1974,5; 27.1985

ISSN: 0013-5720

Type of Medium: Book

Language: Undetermined

Subsequent Title: 16.1974,6 - 26.1984 ---〉:Elektronische Rechenanlagen mit Computer-Praxis

Subsequent Title: Forts. ---〉:Informationstechnik

Additional Information: Beil. ---〉:Computer-Praxis

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89

Journal/Serial

Elektronische Rechenanlagen mit Computer-Praxis : eR ; Theorie, Technik und Anwendung der Computer (from 1974-1984)

München ; Wien :Oldenbourg, ; 16.1974,6 - 26.1984

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Title: Elektronische Rechenanlagen mit Computer-Praxis : eR ; Theorie, Technik und Anwendung der Computer

Publisher: München ; Wien :Oldenbourg,

Year of publication: 1974-1984

Dates of Publication: 16.1974,6 - 26.1984

ISSN: 0013-5720

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Computer-Praxis

Subsequent Title: Vorg. u. Forts. ---〉:Elektronische Rechenanlagen

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Zuse Institute Berlin

90

Journal/Serial

¬The¬ Bell system technical journal : BSTJ ; devoted to the scientific and engineering aspects of electrical communication (from 1922-1983)

American Telephone and Telegraph Company 〈New York, NY〉

New York, NY :Co., ; 1.1922 - 62.1983

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Title: ¬The¬ Bell system technical journal : BSTJ ; devoted to the scientific and engineering aspects of electrical communication

Contributer: American Telephone and Telegraph Company 〈New York, NY〉

Publisher: New York, NY :Co.,

Year of publication: 1922-1983

Dates of Publication: 1.1922 - 62.1983

ISSN: 0005-8580 , 0096-8692

Type of Medium: Journal/Serial

Subsequent Title: Forts. ---〉:Bell Laboratories 〈New York, NY〉: AT & T Bell Laboratories technical journal

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Zuse Institute Berlin

91

Journal/Serial

SIGMAP bulletin (from 1969-1983)

Association for Computing Machinery / Special Interest Group on Mathematical Programming

New York, NY :Assoc., ; Nachgewiesen Nr. 6.1969 - 8.1970; 22.1977 - 32.1983; damit Ersch. eingest.

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Title: SIGMAP bulletin

Author: Association for Computing Machinery / Special Interest Group on Mathematical Programming

Publisher: New York, NY :Assoc.,

Year of publication: 1969-1983

Dates of Publication: Nachgewiesen Nr. 6.1969 - 8.1970; 22.1977 - 32.1983; damit Ersch. eingest.

ISSN: 0163-5786

Type of Medium: Journal/Serial

Subsequent Title: 9.1971 - 21.1977 ---〉:Association for Computing Machinery / Special Interest Group on Mathematical Programming: SIGMAP newsletter

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Zuse Institute Berlin

92

Journal/Serial

Jahresbericht (from 1975-1983)

Grossrechenzentrum für die Wissenschaft in Berlin

Berlin, ; 1974/75(1975) - 1981/82(1983)

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Title: Jahresbericht

Author: Grossrechenzentrum für die Wissenschaft in Berlin

Publisher: Berlin,

Year of publication: 1975-1983

Dates of Publication: 1974/75(1975) - 1981/82(1983)

Type of Medium: Journal/Serial

Language: Undetermined

Former Title: Vorg. ---〉:Grossrechenzentrum für die Wissenschaft in Berlin: Tätigkeitsbericht ... des Großrechenzentrums für die Wissenschaft in Berlin

Subsequent Title: Forts. ---〉:Konrad-Zuse-Zentrum für Informationstechnik 〈Berlin, West〉: Tätigkeitsbericht

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Zuse Institute Berlin

93

Book

Jahresbericht (1975-1983)

Grossrechenzentrum für die Wissenschaft in Berlin

Berlin, ; 1974/75(1975) - 1981/82(1983)

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Title: Jahresbericht

Author: Grossrechenzentrum für die Wissenschaft in Berlin

Publisher: Berlin,

Year of publication: 1975-1983

Dates of Publication: 1974/75(1975) - 1981/82(1983)

Type of Medium: Book

Language: Undetermined

Former Title: Grossrechenzentrum für die Wissenschaft in Berlin: Tätigkeitsbericht ... des Großrechenzentrums für die Wissenschaft in Berlin

Subsequent Title: Konrad-Zuse-Zentrum für Informationstechnik 〈Berlin, West〉: Tätigkeitsbericht

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Zuse Institute Berlin

94

Journal/Serial

SIGSOC bulletin : a quarterly publ. of the ACM Special Interest Group on the Social and Behavioral Science of Computing (from 1971-1982)

Association for Computing Machinery / Special Interest Group on the Social and Behavioral Science of Computing

New York, NY :ACM, ; 3.1971/72 - 13.1981/82

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Title: SIGSOC bulletin : a quarterly publ. of the ACM Special Interest Group on the Social and Behavioral Science of Computing

Author: Association for Computing Machinery / Special Interest Group on the Social and Behavioral Science of Computing

Publisher: New York, NY :ACM,

Year of publication: 1971-1982

Dates of Publication: 3.1971/72 - 13.1981/82

ISSN: 0163-5794

Type of Medium: Journal/Serial

Former Title: Vorg. ---〉:Association for Computing Machinery / Special Interest Group on the Social and Behavioral Science of Computing: SIGSOC newsletter

Subsequent Title: Forts. ---〉:Association for Computing Machinery / Special Interest Group on Computer and Human Interaction: SIGCHI bulletin

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Zuse Institute Berlin

95

Journal/Serial

GRZ-Hausmitteilungen (from 1973-1982)

Grossrechenzentrum für die Wissenschaft in Berlin

Berlin, ; 1973 - 1982; damit Ersch. eingest.

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Title: GRZ-Hausmitteilungen

Author: Grossrechenzentrum für die Wissenschaft in Berlin

Publisher: Berlin,

Year of publication: 1973-1982

Dates of Publication: 1973 - 1982; damit Ersch. eingest.

Type of Medium: Journal/Serial

Language: Undetermined

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Zuse Institute Berlin

96

Book

GRZ-Hausmitteilungen (1973-1982)

Grossrechenzentrum für die Wissenschaft in Berlin

Berlin, ; 1973 - 1982; damit Ersch. eingest.

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Title: GRZ-Hausmitteilungen

Author: Grossrechenzentrum für die Wissenschaft in Berlin

Publisher: Berlin,

Year of publication: 1973-1982

Dates of Publication: 1973 - 1982; damit Ersch. eingest.

Type of Medium: Book

Language: Undetermined

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Zuse Institute Berlin

97

Journal/Serial

SIGLASH newsletter (from 1968-1981)

Association for Computing Machinery / Special Interest Group on Language Analysis and Studies in the Humanities

New York, NY :ACM, ; 1.1968 - 14.1981,1/2; damit Ersch. eingest.

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Title: SIGLASH newsletter

Author: Association for Computing Machinery / Special Interest Group on Language Analysis and Studies in the Humanities

Publisher: New York, NY :ACM,

Year of publication: 1968-1981

Dates of Publication: 1.1968 - 14.1981,1/2; damit Ersch. eingest.

ISSN: 0036-147X

Type of Medium: Journal/Serial

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Zuse Institute Berlin

98

Journal/Serial

SIGMINI newsletter : a publ. of the ACM Special Interest Group on Minicomputers (from 1975-1978)

Association for Computing Machinery / Special Interest Group on Minicomputers

New York, NY :ACM, ; 1.1975 - 4.1978,4

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Title: SIGMINI newsletter : a publ. of the ACM Special Interest Group on Minicomputers

Author: Association for Computing Machinery / Special Interest Group on Minicomputers

Publisher: New York, NY :ACM,

Year of publication: 1975-1978

Dates of Publication: 1.1975 - 4.1978,4

ISSN: 0163-576X

Type of Medium: Journal/Serial

Subsequent Title: Forts. ---〉:Association for Computing Machinery / Special Interest Group on Small Computing Systems and Applications: SIGSMALL newsletter

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Zuse Institute Berlin

99

Unknown

A Stepsize Control for Continuation Methods with Special Application to Multiple Shooting Techniques (1976)

Deuflhard, Peter

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Publication Date: 2020-03-06

Language: English

Type: doctoralthesis , doc-type:doctoralThesis

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100

Unknown

On Algorithms for the Summation of Certain Special Functions (1976)

Deuflhard, Peter

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Publication Date: 2020-03-06

Language: English

Type: article , doc-type:article

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