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These digital twins allow systematic parameter variations to simulate various morphologies, which can be deployed for virtual materials testing by means of spatially resolved numerical simulations of macroscopic properties. Generative adversarial networks (GANs) have gained popularity for calibrating models to generate realistic 3D morphologies. However, GANs often comprise numerous uninterpretable parameters, making systematic variation of morphologies for virtual materials testing challenging. In contrast, low\u2010parametric stochastic geometry models (e.g., based on Gaussian random fields) enable targeted variation but may struggle to mimic complex morphologies. Combining GANs with advanced stochastic geometry models (e.g., excursion sets of more general random fields) addresses these limitations, allowing model calibration solely from 2D image data. This approach is demonstrated by generating digital twins for the morphology of microstructures in all\u2010solid\u2010state battery (ASSB) cathodes. Since the digital twins are parametric, they support systematic exploration of structural scenarios and their macroscopic properties. The proposed method facilitates simulation studies for optimizing 3D morphologies, benefiting not only ASSB cathodes but also other materials with similar structures.<\/jats:p>","DOI":"10.1002\/aisy.202500572","type":"journal-article","created":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T09:57:02Z","timestamp":1757411822000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Generative Adversarial Framework to Calibrate Excursion Set Models for the 3D Morphology of All\u2010Solid\u2010State Battery Cathodes"],"prefix":"10.1002","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1624-6542","authenticated-orcid":false,"given":"Orkun","family":"Furat","sequence":"first","affiliation":[{"name":"Institute of Stochastics Ulm University  Helmholtzstra\u00dfe 18 89069 Ulm Germany"}]},{"given":"Sabrina","family":"Weber","sequence":"additional","affiliation":[{"name":"Institute of Stochastics Ulm University  Helmholtzstra\u00dfe 18 89069 Ulm Germany"}]},{"given":"Anina","family":"Dufter","sequence":"additional","affiliation":[{"name":"Institute of Stochastics Ulm University  Helmholtzstra\u00dfe 18 89069 Ulm Germany"}]},{"given":"Johannes","family":"Schubert","sequence":"additional","affiliation":[{"name":"Center for Materials Research (ZfM) Justus Liebig University Giessen  Heinrich\u2010Buff\u2010Ring 16 35392 Giessen Germany"}]},{"given":"Ren\u00e9","family":"Rekers","sequence":"additional","affiliation":[{"name":"Center for Materials Research (ZfM) Justus Liebig University Giessen  Heinrich\u2010Buff\u2010Ring 16 35392 Giessen Germany"}]},{"given":"Maximilian","family":"Luczak","sequence":"additional","affiliation":[{"name":"Math2Market GmbH  Richard\u2010Wagner\u2010Stra\u00dfe 1 67655 Kaiserslautern Germany"}]},{"given":"Erik","family":"Glatt","sequence":"additional","affiliation":[{"name":"Math2Market GmbH  Richard\u2010Wagner\u2010Stra\u00dfe 1 67655 Kaiserslautern Germany"}]},{"given":"Andreas","family":"Wiegmann","sequence":"additional","affiliation":[{"name":"Math2Market GmbH  Richard\u2010Wagner\u2010Stra\u00dfe 1 67655 Kaiserslautern Germany"}]},{"given":"J\u00fcrgen","family":"Janek","sequence":"additional","affiliation":[{"name":"Center for Materials Research (ZfM) Justus Liebig University Giessen  Heinrich\u2010Buff\u2010Ring 16 35392 Giessen Germany"}]},{"given":"Anja","family":"Bielefeld","sequence":"additional","affiliation":[{"name":"Center for Materials Research (ZfM) Justus Liebig University Giessen  Heinrich\u2010Buff\u2010Ring 16 35392 Giessen Germany"}]},{"given":"Volker","family":"Schmidt","sequence":"additional","affiliation":[{"name":"Institute of Stochastics Ulm University  Helmholtzstra\u00dfe 18 89069 Ulm Germany"}]}],"member":"311","published-online":{"date-parts":[[2025,9,9]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpowsour.2016.11.051"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.engfracmech.2024.110370"},{"key":"e_1_2_10_4_1","first-page":"215","volume":"9","author":"Vu T.\u2010S.","year":"2023","journal-title":"Materials"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/adfm.202212462"},{"key":"e_1_2_10_6_1","first-page":"58","volume":"18","author":"Marmet P.","year":"2024","journal-title":"Int. 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