@inbook{31552, author = {{Heckmann, Lara and Häsel-Weide, Uta}}, booktitle = {{Beiträge zum Mathematikunterricht 2020}}, editor = {{Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}}, isbn = {{978-3-95987-139-6}}, pages = {{393--396}}, publisher = {{WTM Verlag}}, title = {{{Aufgaben für den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.}}}, year = {{2020}}, } @inbook{31549, author = {{Häsel-Weide, Uta}}, booktitle = {{Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis}}, editor = {{Heimlich, Ulrich and Wember, Franz B.}}, isbn = {{978-3170355699}}, pages = {{308--318}}, publisher = {{W. Kohlhammer GmbH}}, title = {{{Sachrechnen}}}, year = {{2020}}, } @inbook{31550, author = {{Häsel-Weide, Uta}}, booktitle = {{Handbuch Lehrerinnen- und Lehrerbildung}}, editor = {{Cramer, Colin and König, Johannes and Rothland, Martin and Blömeke, Sigrid}}, isbn = {{978-3-8252-5473-5}}, pages = {{462--469}}, publisher = {{Julius Klinkhardt}}, title = {{{Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule.}}}, year = {{2020}}, } @misc{33273, abstract = {{Dieses Lernangebot widmet sich der linearen Algebra als dem Teil der Mathematik, der neben der Optimierung und der Stochastik die Grundlage für praktisch alle Entwicklungen im Bereich Künstliche Intelligenz (KI) darstellt. Das Fach ist jedoch für Anfänger meist ungewohnt abstrakt und wird daher oft als besonders schwierig und unanschaulich empfunden. In diesem Kurs wird das Erlernen mathematischer Kenntnisse in linearer Algebra verknüpft mit dem aktuellen und faszinierenden Anwendungsfeld der künstlichen neuronalen Netze (KNN). Daraus ergeben sich in natürlicher Weise Anwendungsbeispiele, an denen die wesentlichen Konzepte der linearen Algebra erklärt werden können. Behandelte Themen sind: Der Vektorraum der reellen Zahlentupel, reelle Vektorräume allgemein Lineare Abbildungen Matrizen Koordinaten und darstellende Matrizen Lineare Gleichungssysteme, Gaußalgorithmus Determinante Ein Ausblick auf nichtlineare Techniken, die für neuronale Netzwerke relevant sind.}}, author = {{Schramm, Thomas and Gasser, Ingenuin and Schwenker, Sören and Seiler, Ruedi and Lohse, Alexander and Zobel, Kay}}, publisher = {{Hamburg Open Online University}}, title = {{{Linear Algebra driven by Data Science}}}, year = {{2020}}, } @article{33282, abstract = {{We derive a criterium for the almost sure finiteness of perpetual integrals of L ́evy processes for a class of real functions including all continuous functions and for general one- dimensional L ́evy processes that drifts to plus infinity. This generalizes previous work of D ̈oring and Kyprianou, who considered L ́evy processes having a local time, leaving the general case as an open problem. It turns out, that the criterium in the general situation simplifies significantly in the situation, where the process has a local time, but we also demonstrate that in general our cri- terium can not be reduced. This answers an open problem posed in D ̈oring, L. and Kyprianou, A. (2015).}}, author = {{Kolb, Martin and Savov, Mladen}}, journal = {{Bernoulli}}, keywords = {{L ́evy processes, Perpetual integrals, Potential measures}}, number = {{2}}, pages = {{1453--1472}}, publisher = {{Bernoulli Society for Mathematical Statistics and Probability}}, title = {{{A Characterization of the Finiteness of Perpetual Integrals of Levy Processes}}}, doi = {{https://doi.org/10.48550/arXiv.1903.03792}}, volume = {{26}}, year = {{2020}}, } @article{33330, abstract = {{Reciprocal relations are binary relations Q with entries Q(i,j)∈[0,1], and such that Q(i,j)+Q(j,i)=1. Relations of this kind occur quite naturally in various domains, such as preference modeling and preference learning. For example, Q(i,j) could be the fraction of voters in a population who prefer candidate i to candidate j. In the literature, various attempts have been made at generalizing the notion of transitivity to reciprocal relations. In this paper, we compare three important frameworks of generalized transitivity: g-stochastic transitivity, T-transitivity, and cycle-transitivity. To this end, we introduce E-transitivity as an even more general notion. We also use this framework to extend an existing hierarchy of different types of transitivity. As an illustration, we study transitivity properties of probabilities of pairwise preferences, which are induced as marginals of an underlying probability distribution on rankings (strict total orders) of a set of alternatives. In particular, we analyze the interesting case of the so-called Babington Smith model, a parametric family of distributions of that kind.}}, author = {{Haddenhorst, Björn and Hüllermeier, Eyke and Kolb, Martin}}, journal = {{International Journal of Approximate Reasoning}}, number = {{2}}, pages = {{373--407}}, publisher = {{Elsevier}}, title = {{{Generalized transitivity: A systematic comparison of concepts with an application to preferences in the Babington Smith model}}}, doi = {{https://doi.org/10.1016/j.ijar.2020.01.007}}, volume = {{119}}, year = {{2020}}, } @inproceedings{20141, author = {{Heindorf, Stefan and Scholten, Yan and Wachsmuth, Henning and Ngonga Ngomo, Axel-Cyrille and Potthast, Martin}}, booktitle = {{Proceedings of the 28th ACM International Conference on Information and Knowledge Management (CIKM 2020)}}, pages = {{3023--3030}}, title = {{{CauseNet: Towards a Causality Graph Extracted from the Web}}}, doi = {{10.1145/3340531.3412763}}, year = {{2020}}, } @misc{18638, author = {{Kramer, Paul}}, publisher = {{Universität Paderborn}}, title = {{{Comparison of Zero-Knowledge Range Proofs}}}, year = {{2020}}, } @inproceedings{21719, abstract = {{We fabricate silicon tapers to increase the mode overlap of superconducting detectors on Ti:LiNbO3 waveguides. Mode images show a reduction in mode size from 6 µm to 2 µm FWHM, agreeing with beam propagation simulations.}}, author = {{Protte, Maximilian and Ebers, Lena and Hammer, Manfred and Höpker, Jan Philipp and Albert, Maximilian and Quiring, Viktor and Meier, Cedrik and Förstner, Jens and Silberhorn, Christine and Bartley, Tim}}, booktitle = {{OSA Quantum 2.0 Conference}}, isbn = {{9781943580811}}, keywords = {{tet_topic_waveguide}}, title = {{{Towards Semiconductor-Superconductor-Crystal Hybrid Integration for Quantum Photonics}}}, doi = {{10.1364/quantum.2020.qth7a.8}}, year = {{2020}}, } @inproceedings{20838, author = {{Lösch, Achim and Platzner, Marco}}, booktitle = {{2020 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)}}, isbn = {{9781728174457}}, title = {{{MigHEFT: DAG-based Scheduling of Migratable Tasks on Heterogeneous Compute Nodes}}}, doi = {{10.1109/ipdpsw50202.2020.00012}}, year = {{2020}}, } @inproceedings{35559, author = {{Schulze Darup, Moritz and Jager, Tibor}}, booktitle = {{2019 IEEE 58th Conference on Decision and Control (CDC)}}, publisher = {{IEEE}}, title = {{{Encrypted Cloud-based Control using Secret Sharing with One-time Pads}}}, doi = {{10.1109/cdc40024.2019.9029342}}, year = {{2020}}, } @inproceedings{35558, author = {{Schulze Darup, Moritz }}, booktitle = {{2020 European Control Conference (ECC)}}, publisher = {{IEEE}}, title = {{{Exact representation of piecewise affine functions via neural networks}}}, doi = {{10.23919/ecc51009.2020.9143957}}, year = {{2020}}, } @inproceedings{35567, author = {{Alexandru, Andreea B. and Schulze Darup, Moritz and Pappas, George J.}}, booktitle = {{2019 IEEE 58th Conference on Decision and Control (CDC)}}, publisher = {{IEEE}}, title = {{{Encrypted Cooperative Control Revisited}}}, doi = {{10.1109/cdc40024.2019.9030124}}, year = {{2020}}, } @article{35580, author = {{Schulze Darup, Moritz}}, issn = {{1049-8923}}, journal = {{International Journal of Robust and Nonlinear Control}}, keywords = {{Electrical and Electronic Engineering, Industrial and Manufacturing Engineering, Mechanical Engineering, Aerospace Engineering, Biomedical Engineering, General Chemical Engineering, Control and Systems Engineering}}, number = {{11}}, pages = {{4168--4187}}, publisher = {{Wiley}}, title = {{{Encrypted polynomial control based on tailored two‐party computation}}}, doi = {{10.1002/rnc.5003}}, volume = {{30}}, year = {{2020}}, } @article{35585, author = {{Lu, Jingyi and Leong, Alex S. and Quevedo, Daniel E.}}, issn = {{1049-8923}}, journal = {{International Journal of Robust and Nonlinear Control}}, keywords = {{Electrical and Electronic Engineering, Industrial and Manufacturing Engineering, Mechanical Engineering, Aerospace Engineering, Biomedical Engineering, General Chemical Engineering, Control and Systems Engineering}}, number = {{11}}, pages = {{4205--4224}}, publisher = {{Wiley}}, title = {{{Optimal event‐triggered transmission scheduling for privacy‐preserving wireless state estimation}}}, doi = {{10.1002/rnc.4910}}, volume = {{30}}, year = {{2020}}, } @article{34828, author = {{Hanusch, Maximilian}}, issn = {{0019-3577}}, journal = {{Indagationes Mathematicae}}, keywords = {{regularity of Lie groups}}, number = {{1}}, pages = {{152--176}}, publisher = {{Elsevier BV}}, title = {{{The regularity problem for Lie groups with asymptotic estimate Lie algebras}}}, doi = {{10.1016/j.indag.2019.12.001}}, volume = {{31}}, year = {{2020}}, } @article{34830, author = {{Hanusch, Maximilian}}, journal = {{Journal of Lie Theory}}, keywords = {{Lie theory, strong Trotter property}}, number = {{1}}, pages = {{025--032}}, publisher = {{Heldermann Verlag}}, title = {{{The Strong Trotter Property for Locally μ-convex Lie Groups}}}, volume = {{30}}, year = {{2020}}, } @inproceedings{24020, abstract = {{Novel analog-to-digital converter (ADC) architectures are motivated by the demand for rising sampling rates and effective number of bits (ENOB). The main limitation on ENOB in purely electrical ADCs lies in the relatively high jitter of oscillators, in the order of a few tens of fs for state-of-the-art components. When compared to the extremely low jitter obtained with best-in-class Ti:sapphire mode-locked lasers (MLL), in the attosecond range, it is apparent that a mixed electrical-optical architecture could significantly improve the converters' ENOB. We model and analyze the ENOB limitations arising from optical sources in optically enabled, spectrally sliced ADCs, after discussing the system architecture and implementation details. The phase noise of the optical carrier, serving for electro-optic signal transduction, is shown not to propagate to the reconstructed digitized signal and therefore not to represent a fundamental limit. The optical phase noise of the MLL used to generate reference tones for individual slices also does not fundamentally impact the converted signal, so long as it remains correlated among all the comb lines. On the other hand, the timing jitter of the MLL, as also reflected in its RF linewidth, is fundamentally limiting the ADC performance, since it is directly mapped as jitter to the converted signal. The hybrid nature of a photonically enabled, spectrally sliced ADC implies the utilization of a number of reduced bandwidth electrical ADCs to convert parallel slices, resulting in the propagation of jitter from the electrical oscillator supplying their clock. Due to the reduced sampling rate of the electrical ADCs, as compared to the overall system, the overall noise performance of the presented architecture is substantially improved with respect to a fully electrical ADC.}}, author = {{Zazzi, Andrea and Müller, Juliana and Gudyriev, Sergiy and Marin-Palomo, Pablo and Fang, Dengyang and Scheytt, Christoph and Koos, Christian and Witzens, Jeremy}}, booktitle = {{21. ITG-Fachtagung Photonische Netze}}, publisher = {{VDE-Verlag}}, title = {{{Mode-locked laser timing jitter limitation in optically enabled frequency-sliced ADCs}}}, year = {{2020}}, } @article{24025, abstract = {{The effect of phase noise introduced by optical sources in spectrally-sliced optically enabled DACs and ADCs is modeled and analyzed in detail. In both data converter architectures, a mode-locked laser is assumed to provide an optical comb whose lines are used to either synthesize or analyze individual spectral slices. While the optical phase noise of the central MLL line as well as of other optical carriers used in the analyzed system architectures have a minor impact on the system performance, the RF phase noise of the MLL fundamentally limits it. In particular, the corresponding jitter of the MLL pulse train is transferred almost one-to-one to the system-level timing jitter of the data converters. While MLL phase noise can in principle be tracked and removed by electronic signal processing, this results in electric oscillator phase noise replacing the MLL jitter and is not conducive in systems leveraging the ultra-low jitter of low-noise mode-locked lasers. Precise analytical models are derived and validated by detailed numerical simulations.}}, author = {{Zazzi, Andrea and Müller, Juliana and Gudyriev, Sergiy and Marin-Palomo, Pablo and Fang, Dengyang and Scheytt, Christoph and Koos, Christian and Witzens, Jeremy}}, journal = {{Opt. Express}}, title = {{{Fundamental limitations of spectrally-sliced optically enabled data converters arising from MLL timing jitter}}}, doi = {{10.1364/OE.382832}}, volume = {{28}}, year = {{2020}}, } @inproceedings{24028, abstract = {{A 28 Gbps NRZ bang-bang clock and data recovery (CDR) chip for 100G PSM4 is presented. It exhibits an adaptable loop filter transfer function with independently tunable proportional and integral parameters. This allows to optimize the jitter transfer, jitter tolerance, and locking range of the CDR according to system requirements. The CDR represents a key component for a single-chip 8-channel electronic-photonic PSM4 transceiver. A CDR chip was manufactured in a 0.25 μm monolithic photonic BiCMOS technology. The core chip area is 0.51 mm 2 and it dissipates 330 mW from 2.5 V and 3.3 V power supplies.}}, author = {{Iftekhar, Mohammed and Gudyriev, Sergiy and Scheytt, Christoph}}, booktitle = {{2020 IEEE 20th Topical Meeting on Silicon Monolithic Integrated Circuits in RF Systems (SiRF)}}, publisher = {{IEEE}}, title = {{{28 Gbps Bang-Bang CDR for 100G PSM4 with Independently Tunable Proportional and Integral Parameters of the Loop Filter in 0.25 µm Photonic BiCMOS Technology}}}, doi = {{10.1109/SIRF46766.2020.9040190}}, year = {{2020}}, }