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Appl"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"1670","DOI":"10.1109\/TIFS.2018.2799381","article-title":"An efficient MSB prediction-based method for high-capacity reversible data hiding in encrypted images","volume":"13","author":"Puteaux","year":"2018","journal-title":"IEEE Trans Inf Forensics Security"},{"key":"ref7","first-page":"1273","author":"McMahan","year":"2017","journal-title":"Artificial intelligence and statistics"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"3719","DOI":"10.1109\/TIFS.2024.3362592","article-title":"Lossless data hiding in NTRU cryptosystem by polynomial encoding and modulation","volume":"19","author":"Wu","year":"2024","journal-title":"IEEE Trans Inf Forensics Security"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"46269","DOI":"10.1007\/s11042-023-15455-1","article-title":"Design and development of reversible data hiding-homomorphic encryption & rhombus pattern prediction approach","volume":"82","author":"Anushiadevi","year":"2023","journal-title":"Multimedia Tools Appl"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"81412","DOI":"10.1109\/ACCESS.2020.2990903","article-title":"Separable reversible data hiding scheme in homomorphic encrypted domain based on NTRU","volume":"8","author":"Zhou","year":"2020","journal-title":"IEEE Access"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"3688","DOI":"10.1109\/TCYB.2022.3163245","article-title":"Lossless data hiding in encrypted images compatible with homomorphic processing","volume":"53","author":"Wu","year":"2022","journal-title":"IEEE Trans Cybern"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1109\/TDSC.2019.2913422","article-title":"Lossless data hiding based on homomorphic cryptosystem","volume":"18","author":"Zheng","year":"2019","journal-title":"IEEE Trans Depend Secure 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Comput"},{"key":"ref30","series-title":"Advances in Cryptology-CRYPTO\u201994: 14th Annual International Cryptology Conference","first-page":"21","article-title":"Incremental cryptography: the case of hashing and signing","author":"Bellare","year":"1994 Aug 21\u201325"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"2577","DOI":"10.1109\/TCE.2023.3342834","article-title":"Federated learning and convex hull enhancement for privacy preserving WiFi-based device-free localization","volume":"70","author":"Huang","year":"2024","journal-title":"IEEE Trans Consum Electron"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1109\/TCBB.2023.3243932","article-title":"Robust and privacy-preserving decentralized deep federated learning training: focusing on digital healthcare applications","volume":"21","author":"Tian","year":"2024","journal-title":"IEEE\/ACM Trans Comput Bi"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"3105","DOI":"10.1109\/JIOT.2024.3476950","article-title":"Enhancing mutual trustworthiness in federated learning for data-rich smart cities","volume":"12","author":"Wehbi","year":"2025","journal-title":"IEEE Internet Things J"},{"key":"ref34","series-title":"Proceedings of COMPSTAT\u20192010: 19th International Conference on Computational Statistics","first-page":"177","article-title":"Large-scale machine learning with stochastic gradient descent","author":"Bottou","year":"2010 Aug 22\u201327"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1145\/359168.359176","article-title":"How to share a secret","volume":"22","author":"Shamir","year":"1979","journal-title":"Commun ACM"},{"key":"ref36","series-title":"2018 IEEE Symposium on Security and Privacy (SP)","first-page":"19","article-title":"Manipulating machine learning: poisoning attacks and countermeasures for regression learning","author":"Jagielski","year":"2018"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1007\/s00145-014-9184-y","article-title":"Using fully homomorphic hybrid encryption to minimize non-interative zero-knowledge proofs","volume":"28","author":"Gentry","year":"2015","journal-title":"J Cryptol"},{"key":"ref38","first-page":"1097","article-title":"Imagenet classification with deep convolutional neural networks","volume":"25","author":"Krizhevsky","year":"2012","journal-title":"Adv Neural Inf Process Syst"},{"key":"ref39","first-page":"1","article-title":"Learning multiple layers of features from tiny images","volume":"1","author":"Krizhevsky","year":"2009","journal-title":"Handb Systemic Autoimmune Dis"},{"key":"ref40","unstructured":"LeCun Y. The MNIST database of handwritten digits; 1998. [cited 2025 May 7]. Available from: http:\/\/yann.lecun.com\/exdb\/mnist\/."},{"key":"ref41","unstructured":"Zhang J, Liu Y, Hua Y, Wang H, Song T, Xue Z, et al. 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