@proceedings{66704,
editor = {{Gräßler, Iris}},
location = {{Paderborn}},
publisher = {{Universitätsbibliothek}},
title = {{{1st International Symposium : March 24 – 26, 2026, Heinz Nixdorf Institute, Paderborn University}}},
doi = {{10.17619/UNIPB/1-2663}},
year = {{2026}},
}
@article{66707,
abstract = {{This article examines the most frequently attributed statement of Jesus in the Qur’an, namely, ‘God is my Lord and your Lord’ (Q 19:36; Q 43:64; Q 3:51; Q 5:72; Q 5:117). It investigates the extent to which this formula is connected to Jesus’s words to Mary Magdalene on Easter morning in John 20:17. The analysis aims to show that the Qur’an critically engages with the Christian interpretive tradition surrounding this statement as recorded in John’s Gospel and adapts it – both contextually and verbally – within its own theological framework. As in the Christian tradition, this Qur’anic engagement also generates a broader discourse on the hermeneutics of scriptural interpretation.}},
author = {{Ghaffar, Zishan}},
issn = {{0959-6410}},
journal = {{Islam and Christian–Muslim Relations}},
keywords = {{Qur’an, John 20:17, Scriptural hermeneutics, Words of Jesus, Intertextuality}},
pages = {{1--17}},
publisher = {{Routledge}},
title = {{{The Words of Jesus and Scriptural Hermeneutics in the Qur’an}}},
doi = {{https://doi.org/10.1080/09596410.2026.2705056}},
year = {{2026}},
}
@phdthesis{63826,
abstract = {{In dieser Dissertation werden Aspekte von high-gain multimode SU(1,1) Interferometer theoretisch untersucht. Dabei wird der Prozess der parametrischen Fluoreszenz (PDC) mithilfe von Integro-Differentialgleichungen modelliert, welche die räumliche Entwicklung der Ebene-Wellen-Operatoren beschreiben. Es wurde gezeigt, dass Supersensitivität für die Phasenempfindlichkeit dieser Interferometer erreicht werden kann, sofern die Beugung der PDC Strahlung kompensiert wird. Weiterhin führt eine Erhöhung der parametrische Verstärkung und eine Reduktion der Schmidt-Zahl zu einer Verbesserung der Phasenempfindlichkeit und einer Verkleinerung des Phasenbereiches, über den die Supersensitivität erreicht werden kann. Basierend auf der Struktur der Schmidt-Moden von SU(1,1) Interferometern wurde ein numerisches Aufbereitungsverfahren konstruiert, welches die Messung der Stärke des Squeezing und Anti-Squeezing des Zustandes ermöglicht, der durch den ersten Kristall des Interferometers erzeugt wird. Das Verfahren wurde experimentell von Kooperationspartnern angewandt, wobei eine gute Übereinstimmung mit der Theorie festgestellt wurde. Zuletzt wurden SU(1,1) Interferometer mit Laguerre-Gauß-Moden als Pump-Strahlung für die Messung von Winkelverschiebungen untersucht. Es zeigte sich, dass sich die quantenmechanisch bedingte Messunsicherheit verbessert, wenn die parametrische Verstärkung oder die Indizes der Pump-Mode erhöht werden. Das generelle Verhalten gleicht dem der Phasensensitivität.}},
author = {{Scharwald, Dennis}},
pages = {{XII, 201}},
publisher = {{Universität Paderborn}},
title = {{{Theoretical investigations of spatially multimode high-gain SU(1,1) interferometers}}},
doi = {{10.17619/UNIPB/1-2491}},
year = {{2026}},
}
@inbook{66619,
abstract = {{Due to their devastating consequences, so-called century floods attract significant public attention and are therefore covered in nationwide media. In journalistic reporting, numerous conceptual metaphors are used to conceptualise such extreme weather events. This linguistic study investigates how the century flood that occurred in southern Germany in late May and early June 2024 was metaphorically conceptualised in nationwide online journalism by identifying patterns of metaphorical conceptualisation. The analysis draws on the foundations of Conceptual Metaphor Theory as proposed by Lakoff and Johnson (1980), refined through the graded distinction of schematicity levels in conceptual structure proposed in Kövecses (2017, 2020, 2022) Extended Conceptual Metaphor Theory. Accordingly, metaphors are understood as schematically distinguishable mappings of conceptual aspects from source to target areas, through which particular actions are constituted. Adopting a mixed-methods approach that integrates manual with (semi-)automatic analytical procedures, the study reveals that the century flood is predominantly conceptualised through the highly schematic metaphor ZEIT IST SUBSTANZ (›time is substance‹), the less schematic metaphor NATURKATASTROPHEN SIND PERSONEN (›natural disasters are persons‹), and a set of least schematic, elaborating metaphors, namely HOCHWASSER IST GEGNER (›flood is an opponent‹), HOCHWASSER IST ZERSTÖRER (›flood is a destroyer‹) and HOCHWASSER IST MÖRDER (›flood is a murderer‹). From an ecolinguistic perspective, the study critically reflects on how these metaphorical conceptualisations obscure human co-responsibility for the intensity of extreme flood events.}},
author = {{Dübbert, Alexander}},
booktitle = {{Ökologische Diskurse heute. Inter- und transdisziplinäre Forschung zu globalen Herausforderungen und planetaren Grenzen}},
editor = {{Christ, Katharina and Janich, Nina and Lüdicke, Corinna and Simon, Niklas}},
isbn = {{978-3-8394-5910-2}},
keywords = {{Berichterstattung, Jahrhunderthochwasser, Kognitive Linguistik, konzeptuelle Metapher, Ökolinguistik, Schematizität}},
pages = {{171--196}},
publisher = {{transcript}},
title = {{{Metaphorische Konzeptualisierungen des Jahrhunderthochwassers in Süddeutschland im Spätfrühling 2024. Eine kognitiv-linguistische Analyse der überregionalen, online-journalistischen Berichterstattung}}},
doi = {{10.14361/9783839459102-171 }},
volume = {{5}},
year = {{2026}},
}
@article{66606,
abstract = {{Der Beitrag beschäftigt sich mit der Frage, ob die Merkmale guter inklusiver Schulen – verstanden als Schulentwicklungsinstrument – mit der Arbeitszufriedenheit und den Selbstwirksamkeitsüberzeugungen von Lehrkräften in inklusiven Gesamt- und Sekundarschulen zusammenhängen. Dazu werden Daten aus dem BMBF-geförderten Projekt BiFoKi (Bielefelder Fortbildungskonzept zur Kooperation in inklusiven Schulen) von N = 119 Lehrkräften analysiert. Die Ergebnisse zeigen, dass die Merkmale guter inklusiver Schulen einen großen Teil der Varianz in der Arbeitszufriedenheit aufklären. Die kollektive Selbstwirksamkeitsüberzeugung korreliert stark mit den Merk-malen guter inklusiver Schulen und der Arbeitszufriedenheit der Lehrkräfte. Für die individuelle inklusionsbezogene Selbstwirksamkeitsüberzeugung zeigen sich itemspezifische Befunde, die diskutiert werden. Implikationen für die schulische Praxis werden abgeleitet.}},
author = {{Wohnhas, Verena and Böhm-Kasper, Oliver and Neumann, Phillip}},
journal = {{PraxisForschungLehrer*innenBildung. Zeitschrift für Schul- und Professionsentwicklung}},
keywords = {{Arbeitszufriedenheit, Inklusion, Merkmale guter inklusiver Schulen, Selbstwirksamkeit, kollektive Selbstwirksamkeitsüberzeugung}},
number = {{1}},
pages = {{168–196}},
title = {{{Merkmale guter inklusiver Schulen – Zusammenhänge auf Lehrkraft-Ebene}}},
doi = {{10.11576/PFLB-8392}},
volume = {{8}},
year = {{2026}},
}
@article{66650,
author = {{Sagolla, Nils and Seifert, Andreas and Bohndick, Carla and Buhl, Heike M.}},
journal = {{Journal for Educational Research Online}},
number = {{1}},
pages = {{31--48}},
publisher = {{Waxmann}},
title = {{{Skills Help, but They Don’t Help All at Once: Changes in the Relationship Between Study- Relevant Skills and Student Stress as Well as Study Satisfaction During the First Two Years of Teacher Education}}},
doi = {{10.31244/jero.2026.01.02}},
volume = {{18}},
year = {{2026}},
}
@inproceedings{66517,
abstract = {{Models of Circular Economy introduce circularity strategies like reuse, repair or remanufacture. A significant level of complexity is added when these strategies are applied not only on integrated product level, but on lower levels of assemblies and parts. Therefore, approaches, like Design for Assembly, Disassembly and Reassembly (DfADR) become increasingly important including the consideration of ADR capabilities. To put DfADR into practice, it is necessary to structure ADR-related product data and make it usable for product engineers. For instance, assemblies resulting from disassembly might not be consistent with original assembly structures. Therefore, a Product Meta Data Model (MDM) is required to handle assembly-related data even when it has extreme characteristics. A literature review on related MDMs reveals a range of models for general product data and identifies a gap in consideration of assembly-related data. In an expert workshop, requirements are raised to evaluate existing models and develop ADR-related extensions. The MDM is conceptually modelled and validated by competence questions. The paper presents an approach that makes assembly-related data usable for hybrid decision support and enables engineers to think ahead of ADR processes.}},
author = {{Gräßler, Iris and Vollenkemper, Felix and Pottebaum, Jens}},
booktitle = {{1st International Symposium: March 24 – 26, 2026, Heinz Nixdorf Institute, Paderborn University}},
editor = {{Graessler, Iris}},
location = {{Paderborn}},
publisher = {{Universitätsbibliothek}},
title = {{{A product Meta Data Model of assembly-related extreme data to enable hybrid decision support}}},
doi = {{10.17619/UNIPB/1-2642}},
year = {{2026}},
}
@article{65894,
abstract = {{We examine the relation between voluntary audit and the cost of debt in private firms. We use a sample of 7420 small private firms operating in the period 2006-2022 that are not subject to mandatory audits. Firms self-select into voluntary audits because of the economic setting (e.g., ownership complexity, export, subsidiary status) or because firm fundamentals limit their access to financial debt. In the outcome analyses, we find that voluntary audits result in higher, rather than lower, interest rates with increases ranging from approximately 1.7 percentage points, but going higher depending on the exact specification. This effect is present regardless of the perceived audit quality (Big-4 vs. non-Big-4), consistent across auditor types. Audited firms’ earnings are less informative about future operating performance. Voluntary audits facilitate access to financial debt for high-risk firms. The price paid is reflected in higher interest rates for voluntary audits – firms with higher information/fundamental risk.}},
author = {{Ichev, Riste and Koren, Jernej and Kosi, Urska and Sitar Sustar, Katarina and Valentincic, Aljosa}},
issn = {{1059-0560}},
journal = {{International Review of Economics & Finance}},
publisher = {{Elsevier }},
title = {{{Cost of debt for private firms revisited: voluntary audits as a reflection of risk}}},
doi = {{10.1016/j.iref.2026.105474}},
volume = {{109}},
year = {{2026}},
}
@article{65860,
abstract = {{We investigate the role of stakeholders in the CSR reporting of non-listed savings banks in Germany. They are established by municipal trustees and serve clients in their distinct operating area. Reporting discretion under the Non-Financial Reporting Directive may lead to variation in CSR reporting due to differences in sustainability interests of banks’ stakeholders and CSR governance (e.g. existence of a CSR manager). We document that the CSR reports and specific CSR dimensions are intensely associated with the existence of strong CSR governance and to a lesser extent with the interests of municipal trustees and bank clients. However, the associations with these stakeholders are predominantly present in banks with strong CSR governance. Our findings inform policy discussions about detailed CSR disclosure requirements (e.g. the European Sustainability Reporting Standards) and extension of reporting scope to firms with regional orientation and absence of typical shareholders.}},
author = {{Gulenko, Maryna and Kohlhase, Saskia and Kosi, Urska}},
issn = {{1744-9480}},
journal = {{Accounting in Europe}},
pages = {{1--35}},
publisher = {{Informa UK Limited}},
title = {{{The Role of Stakeholders in CSR Reporting of Non-Listed Banks}}},
doi = {{10.1080/17449480.2026.2631702}},
year = {{2026}},
}
@inbook{66852,
author = {{Jenert, Tobias and Kremer, H.-Hugo and Kückmann, Marie-Ann and Sänger, Niklas and Schmid, Leonie Ulrike and Wilde, Stephanie and Groß, Dominik}},
booktitle = {{Professionelles Handeln in einer Kultur der Digitalität. Ergebnisse aus dem Kompetenzzentrum Sprachen/Gesellschaft/Wirtschaft.}},
editor = {{Scheiter, Katharina and Richter, Dirk and Brüggemann, Jörn and Jennek, Julia}},
pages = {{173--188}},
publisher = {{Waxmann}},
title = {{{Komplexität professionellen Lehrpersonenhandelns erfahrbarer(er) machen? Einblicke in die Konzeption, Durchführung und Evaluation eines reflexiven Begleitinstruments für Studierende im Rahmen des Projekts digiSAIL}}},
doi = {{https://doi.org/10.31244/9783818851668}},
volume = {{2}},
year = {{2026}},
}
@article{66877,
abstract = {{Integrated photon-pair sources, providing scalability solutions, are crucial for large-scale realizations of quantum photonic technologies. Their traditional fabrication techniques, such as etching, are often complex, require long development cycles, and are resource inefficient in case of fabrication imperfections or failures. The two-photon polymerization (2PP) technique can offer a rapid, efficient, and reproducible alternative for the fabrication of integrated photonic devices. Here, we demonstrate an integrated photon-pair source based on a 2PP-defined strip-loaded waveguide on a periodically poled thin-film lithium niobate (TFLN) platform. The device generates photon pairs through type-II spontaneous parametric down-conversion (SPDC), employing first-order quasi-phase matching (QPM) with TM-polarized excitation light. The device achieves an on-chip pair generation rate of 4.357 MHz and a coincidence-to-accidental ratio (CAR) of ∼404. To prove the flexibility and versatility of the fabrication technique, the waveguides were erased from the LN substrate and reprinted, reaching comparable performance. This work demonstrates the potential of 2PP as a rapid production technique for high-performance integrated photon-pair sources, offering a practical solution to the limitations of traditional fabrication techniques and showcasing both reproducibility of the fabrication and the reusability of the substrate.}},
author = {{Sewidan, Muhamed A. and Rittmeier, Alexandra and Bollmers, Laura and Babel, Silia and Chatzizyrli, Elisavet and Duran Gomez, Juan S. S. and Padberg, Laura and Eigner, Christof and Silberhorn, Christine and Bremner, Douglas and Wienke, Andreas and Kracht, Dietmar and Hinkelmann, Moritz and Kues, Michael}},
issn = {{1094-4087}},
journal = {{Optics Express}},
number = {{16}},
publisher = {{Optica Publishing Group}},
title = {{{High-performance photon-pair source using a two-photon-polymerized strip-loaded lithium niobate waveguide}}},
doi = {{10.1364/oe.596879}},
volume = {{34}},
year = {{2026}},
}
@article{66939,
abstract = {{Many quantum optical applications in spectroscopy, communication and signal analysis rely on spectrally-engineered nonlinear optical interactions to target specific wavelengths or bandwidth. Here, in an established material platform like lithium niobate the achievable wavelength and bandwidth combinations are usually limited by the material’s dispersion and its birefringence. In this regard, mixed crystals of lithium niobate tantalate (LNT) promise a novel material platform, because they allow tuning the birefringence, which is central for type II phase matching devices. Crucially, LNT offers crystal compositions without any birefringence, which still retain their second-order optical nonlinearity. Despite recent progress in the growth and fabrication of LNT, so far no works have investigated the unique properties of LNT for use in electro-optics, nonlinear or quantum optics. In this study, we explore nonlinear optical devices based on LNT for broad- and narrowband nonlinear optical interactions based on recently measured Sellmeier coefficients. Most interestingly, we find that compositions without birefringence allow the design of broadband, degenerate type II phase matching sources spanning the whole near- to mid-infrared range by only changing the poling period and pump wavelength. Such devices are not easily realizable in pure lithium niobate or lithium tantalate. This could potentially allow for more flexible light sources and nonlinear devices in quantum metrology, quantum spectroscopy and quantum communication.}},
author = {{Roeder, Franz and Rüsing, Michael and Hehemann, Tobias and Gnanavel, Abira and Eigner, Christof and Brecht, Benjamin and Imlau, Mirco and Silberhorn, Christine}},
issn = {{2159-3930}},
journal = {{Optical Materials Express}},
number = {{8}},
publisher = {{Optica Publishing Group}},
title = {{{Lithium niobate tantalate mixed crystals: a versatile platform for nonlinear quantum processes}}},
doi = {{10.1364/ome.592892}},
volume = {{16}},
year = {{2026}},
}
@article{66941,
abstract = {{Understanding and controlling the optical properties of lithium niobate tantalate solid solutions (LiNb1−xTaxO3, 0 ≤ x ≤ 1) is essential for their use in integrated quantum and nonlinear photonics. This material system allows for composition-dependent tuning of key optical parameters such as refractive indices and birefringence. While lithium niobate (LiNbO3, x = 0) and lithium tantalate (LiTaO3, x = 1) are well characterized, reliable dispersion data for intermediate compositions remain scarce, limiting accurate modeling and refractive index engineering. Here, we address this gap by experimentally determining the ordinary and extraordinary refractive indices of LiNb1−xTaxO3 over the spectral range of 405 − 1550 nm using an interferometric technique. As a result, composition-dependent refractive index dispersion and Sellmeier coefficients are derived and discussed in relation to previous studies and structural aspects. In particular, a monotonic decrease of the ordinary refractive index with increasing Tantalum concentration is observed. The present Sellmeier coefficients further allow discussion of zero birefringence dispersion and its composition dependence in lithium niobate tantalate.}},
author = {{Hehemann, Tobias and Dömer, Niklas and Sauerwein, Felix and Rüsing, Michael and Ganschow, Steffen and Imlau, Mirco}},
issn = {{2159-3930}},
journal = {{Optical Materials Express}},
number = {{7}},
publisher = {{Optica Publishing Group}},
title = {{{Composition-dependent refractive index dispersion and Sellmeier coefficients for lithium niobate tantalate solid solutions}}},
doi = {{10.1364/ome.592118}},
volume = {{16}},
year = {{2026}},
}
@inbook{67014,
abstract = {{Eine zentrale Herausforderung in der Professionalisierung pädagogischer Fach- und Lehrkräfte besteht in der Relation von eher theoretischen und praktischen Ausbildungsbestandteilen. Beispielsweise fühlen sich angehende Lehrkräfte durch ihr Studium häufig nicht ausreichend auf die beruflichen Anforderungen vorbereitet. Daher wird verstärkt versucht, Curricula von Ausbildungs- und Studiengängen deutlicher an den tatsächlichen professionellen Handlungsanforderungen zu orientieren und auch in frühen Ausbildungsphasen verstärkt Elemente beruflicher Praxis zu integrieren.
Dieser Band nimmt die Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften theoretisch-konzeptionell sowie empirisch in den Blick. Zudem werden innovative Lehransätze aufgezeigt, die den Fokus auf eine Stärkung einer solchen Handlungsorientierung legen, z.B. durch simulationsbasierte Lern- und Prüfungsformate.
Es handelt sich um den zweiten Band der Reihe Paderborner Beiträge zur Bildungsforschung und Lehrkräftebildung, die von der PLAZ – Professional School of Education herausgegeben wird.}},
author = {{Niesen, Heike and Rumlich, Dominik}},
booktitle = {{Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven}},
editor = {{Vogelsang, Christoph and Grotegut, Lea and Bruns, Julia and Riese, Josef and Fechner, Sabine}},
isbn = {{9783818801052}},
pages = {{85--101}},
publisher = {{Waxmann}},
title = {{{Forschendes Lernen im Praxissemester des Faches Englisch}}},
doi = {{10.31244/9783818851057}},
year = {{2026}},
}
@inproceedings{67194,
abstract = {{Efficient thermal management in vehicles is becoming increasingly critical due to stricter energy efficiency requirements and rising passenger expectations for comfort. Conventional heating, ventilation, and air conditioning (HVAC) systems rely on numerous air outlet temperature sensors, which add significant costs at scale. This study introduces a hybrid virtual sensor concept that combines physics-based mathematical modeling with data-driven methods to address this challenge. A detailed physical model predicts air outlet temperatures, while neural networks capture unmodeled heat exchanges and environmental disturbances. Two hybrid strategies are explored: one augments the physical model with a neural network to learn residual heat flows, and the other employs an adiabatic physical model enhanced by a neural network that maps the total environmental heat exchange, supported by a disturbance observer for accurate heat flow estimation. Evaluation using measurement data from a real test vehicle in a simplified two-vent scenario demonstrates that hybrid virtual sensors can provide reliable temperature estimates, reduce reliance on hardware sensors, and maintain high control performance, highlighting the potential of integrating physics-based and machine learning methods in vehicle climate control systems.}},
author = {{Timmermann, Julia Magdalena and Biemelt, Patrick and Li, Changcheng and Trächtler, Ansgar and Pankratz, Eduard}},
booktitle = {{2026 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM)}},
isbn = {{979-8-3195-3612-9}},
issn = {{ 2159-6255 }},
location = {{Genova, Italy}},
publisher = {{IEEE}},
title = {{{Hybrid modeling as a virtual sensor concept for automotive HVAC outlet temperature estimation}}},
doi = {{10.1109/aim65483.2026.11658345}},
year = {{2026}},
}
@article{67171,
abstract = {{Flow forming of metastable austenites is an innovative, incremental metal forming process with special capabilities due to the TRIP effect. However, the TRIP effect during flow forming is significantly affected by disturbances and especially batch fluctuations leading to process uncertainty. This aspect is further analyzed and quantified in this paper to give insights on how to minimize the impact of uncertainty. For this purpose, semifinished parts and resulting flow forming workpieces are systemically characterized concerning their properties and the property uncertainty supported by mathematical methods like correlation analysis and error propagation. A result is that the most influencing impact factor on the strain induced α’-martensite volume fraction as a material property are batch fluctuations, specifically the variations of the chemical composition. Those especially appear from batch to batch, but also within a batch accompanied by e.g. temperature effects. To counter this challenge, different methods from control theory like closed-loop property control and adaptive control can be applied to flow forming. Thus, uncertainty will be reduced to increase process robustness and to enable industrial exploitation of the TRIP effect in flow forming of metastable austenitic steels.}},
author = {{Kersting, Lukas and Koyuncu, Mustafa and Arian, Bahman and Rozo Vasquez, Julian and Trächtler, Ansgar and Homberg, Werner and Walther, Frank}},
issn = {{1662-9779}},
journal = {{Solid State Phenomena}},
pages = {{253--266}},
publisher = {{Trans Tech Publications, Ltd.}},
title = {{{Reducing the Uncertainty in Flow Forming of Metastable Austenites}}},
doi = {{10.4028/p-gad5rr}},
volume = {{389}},
year = {{2026}},
}
@article{67276,
abstract = {{Despite the pivotal role of tax legislation for the economy and society, empirical research on how interest groups influence German tax legislation remains scarce. This study addresses this gap by examining international corporate tax policy. Based on 94 statements from eleven legislative procedures (2013- 2023), it analyzes the factors determining whether demands from various interest groups during expert hearings in the Finance Committee are adopted into final legislation. Methodologically, the paper combines qualitative content analysis with a quantitative probit regression. While descriptive data and initial analyses suggest varying success rates among expert groups, these differences disappear when controlling for the specific direction of the proposed changes. No significant group influence remains. The findings suggest that in the later stages of the legislative process, lawmakers select external expertise primarily based on substantive, technical criteria rather than systematically favoring specific actors. Thus, the study contributes to the political economy of taxation by highlighting the importance of technical content over pure actor power.}},
author = {{Zimmermann, Thomas}},
journal = {{Junior Management Science}},
number = {{3}},
pages = {{671--691}},
title = {{{Der Einfluss unterschiedlicher Expertengruppen auf die ertragsteuerliche Gesetzgebung in Deutschland: Eine Analyse von schriftlichen Stellungnahmen}}},
volume = {{11}},
year = {{2026}},
}
@inbook{62907,
author = {{Fröhleke, Christoph and Habig, Sebastian and Fechner, Sabine}},
booktitle = {{Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften}},
editor = {{Vogelsang, Christoph and Grotegut, Lea and Bruns, Julia and Riese, Josef and Fechner, Sabine}},
publisher = {{Waxmann}},
title = {{{Erfassung handlungsorientierter Kompetenzen im Chemiepraktikum - Inwiefern kann die Performanz von Lehramtsstudierenden bei Prozessentscheidungen diagnostiziert werden?}}},
year = {{2026}},
}
@article{51160,
abstract = {{We rigorously derive novel and sharp finite-data error bounds for highly
sample-efficient Extended Dynamic Mode Decomposition (EDMD) for both i.i.d. and
ergodic sampling. In particular, we show all results in a very general setting
removing most of the typically imposed assumptions such that, among others,
discrete- and continuous-time stochastic processes as well as nonlinear partial
differential equations are contained in the considered system class. Besides
showing an exponential rate for i.i.d. sampling, we prove, to the best of our
knowledge, the first superlinear convergence rates for ergodic sampling of
deterministic systems. We verify sharpness of the derived error bounds by
conducting numerical simulations for highly-complex applications from molecular
dynamics and chaotic flame propagation.}},
author = {{Philipp, Friedrich M. and Schaller, Manuel and Boshoff, Septimus and Peitz, Sebastian and Nüske, Feliks and Worthmann, Karl}},
journal = {{Physica D: Nonlinear Phenomena}},
title = {{{Variance representations and convergence rates for data-driven approximations of Koopman operators}}},
doi = {{10.1016/j.physd.2026.135223}},
volume = {{492}},
year = {{2026}},
}
@article{53858,
author = {{Akhter, Junaid and Fährmann, Paul David and Sonntag, Konstantin and Peitz, Sebastian}},
journal = {{SIAM Review}},
number = {{3}},
pages = {{656--683}},
publisher = {{SIAM}},
title = {{{Common pitfalls to avoid while using multiobjective optimization in machine learning}}},
doi = {{10.1137/24M1658875}},
volume = {{68}},
year = {{2026}},
}