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Martingales and Path-Dependent PDEs via Evolutionary Semigroups
Robert Denk, Markus Kunze, Michael Kupper
https://arxiv.org/abs/2507.01845 https://

Martingales and Path-Dependent PDEs via Evolutionary Semigroups
In this article, we develop a semigroup-theoretic framework for the analytic characterisation of martingales with path-dependent terminal conditions. Our main result establishes that a measurable adapted process of the form \[ V(t) - \int_0^tΨ(s)\, ds \] is a martingale with respect to an expectation operator $\mathbb{E}$ if and only if a time-shifted version of $V$ is a mild solution of a final value problem involving a path-dependent differential operator that is intrinsically connected to $…

Author Once, Publish Everywhere: Portable Metadata Authoring with the CEDAR Embeddable Editor
Martin J. O'Connor, Marcos Martinez-Romero, Attila L. Egyedi, Mete U. Akdogan, Michael V. Dorf, Mark A. Musen
https://arxiv.org/abs/2508.00859

Author Once, Publish Everywhere: Portable Metadata Authoring with the CEDAR Embeddable Editor
High-quality, "rich" metadata are essential for making research data findable, interoperable, and reusable. The Center for Expanded Data Annotation and Retrieval (CEDAR) has long addressed this need by providing tools to design machine-actionable metadata templates that encode community standards in a computable form. To make these capabilities more accessible within real-world research workflows, we have developed the CEDAR Embeddable Editor (CEE)-a lightweight, interoperable Web Component tha…

Overview of BioASQ 2025: The Thirteenth BioASQ Challenge on Large-Scale Biomedical Semantic Indexing and Question Answering
Anastasios Nentidis, Georgios Katsimpras, Anastasia Krithara, Martin Krallinger, Miguel Rodr\'iguez-Ortega, Eduard Rodriguez-L\'opez, Natalia Loukachevitch, Andrey Sakhovskiy, Elena Tutubalina, Dimitris Dimitriadis, Grigorios Tsoumakas, George Giannakoulas, Alexandra Bekiaridou, Athanasios Samaras, Giorgio Maria Di Nunzio, Nicola Ferro, Stefano Marchesin, …

Overview of BioASQ 2025: The Thirteenth BioASQ Challenge on Large-Scale Biomedical Semantic Indexing and Question Answering
This is an overview of the thirteenth edition of the BioASQ challenge in the context of the Conference and Labs of the Evaluation Forum (CLEF) 2025. BioASQ is a series of international challenges promoting advances in large-scale biomedical semantic indexing and question answering. This year, BioASQ consisted of new editions of the two established tasks, b and Synergy, and four new tasks: a) Task MultiClinSum on multilingual clinical summarization. b) Task BioNNE-L on nested named entity linkin…

Programmable spatiotemporal OAM optical toroidal beams with completely tunable properties
Andrew V. Komonen, Nicolas K. Fontaine, Martin Pl\"oschner, Marcos Maestre Morote, David T. Neilson, Joel Carpenter, Mickael Mounaix
https://arxiv.org/abs/2506.20365

Programmable spatiotemporal OAM optical toroidal beams with completely tunable properties
Spatiotemporal toroidal orbital angular momentum (OAM) beams are a developing class of spatiotemporal beams which have key applications within quantum physics, metrology, imaging and optical manipulation. However, the full realization of these applications require complete configurability within tunable temporal duration, 3D geometric structure and OAM charge of these beams along with amplitude, phase and polarization control. In this paper, we demonstrate complete configurability of programmab…

A unipolar head gradient for high-field MRI without encoding ambiguity
Markus Weiger, Johan Overweg, Franciszek Hennel, Emily Louise Baadsvik, Samuel Bianchi, Oskar Bj\"orkqvist, Roger Luechinger, Jens Metzger, Eric Michael, Thomas Schmid, Lauro Singenberger, Urs Sturzenegger, Erik Oskam, Gerrit Vissers, Jos Koonen, Wout Schuth, Jeroen Koeleman, Martino Borgo Klaas Paul Pruessmann

A unipolar head gradient for high-field MRI without encoding ambiguity
Purpose: MRI gradients with a conventional, bipolar design generally face a trade-off between performance, encoding ambiguity, and circumventing the latter by means of RF selectivity. This problem is particularly limiting in cutting-edge brain imaging performed at field strengths >= 7T and using high-performance head gradients. Methods: To address this issue, the present work proposes to fundamentally eliminate the encoding ambiguity in head gradients by using a unipolar z-gradient design that …