{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T15:35:02Z","timestamp":1772120102335,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T00:00:00Z","timestamp":1705881600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T00:00:00Z","timestamp":1705881600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Mach. Intell."],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s42484-024-00140-9","type":"journal-article","created":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T04:01:49Z","timestamp":1705896109000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On neural quantum support vector machines"],"prefix":"10.1007","volume":"6","author":[{"given":"Lars","family":"Simon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel","family":"Radons","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,1,22]]},"reference":[{"key":"140_CR1","doi-asserted-by":"crossref","unstructured":"Gentinetta G,\u00a0Sutter D,\u00a0Zoufal C,\u00a0Fuller B,\u00a0Woerner S (2023) Quantum kernel alignment with stochastic gradient descent","DOI":"10.1109\/QCE57702.2023.00036"},{"key":"140_CR2","unstructured":"Gentinetta G,\u00a0Thomsen A,\u00a0Sutter D,\u00a0Woerner S (2022) The complexity of quantum support vector machines"},{"key":"140_CR3","unstructured":"Glick JR, Gujarati TP, Corcoles AD,\u00a0Kim Y,\u00a0Kandala A, Gambetta JM, Temme K (2022) Covariant quantum kernels for data with group structure"},{"key":"140_CR4","doi-asserted-by":"crossref","unstructured":"Havl\u00ed\u010dek V, C\u00f3rcoles AD, Temme K, Harrow AW, Kandala A, Chow JM, Gambetta JM (2019) Supervised learning with quantum-enhanced feature spaces. Nature 567(7747):209\u2013212","DOI":"10.1038\/s41586-019-0980-2"},{"key":"140_CR5","unstructured":"LeCun Y,\u00a0Cortes C, Burges CJ (2010) Mnist handwritten digit database. ATT Labs [Online]. Available: http:\/\/yann.lecun.com\/exdb\/mnist, 2"},{"issue":"9","key":"140_CR6","doi-asserted-by":"publisher","first-page":"1013","DOI":"10.1038\/s41567-021-01287-z","volume":"17","author":"Y Liu","year":"2021","unstructured":"Liu Y, Arunachalam S, Temme K (2021) A rigorous and robust quantum speed-up in supervised machine learning. Nat Phys 17(9):1013\u20131017","journal-title":"Nat Phys"},{"key":"140_CR7","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.knosys.2016.05.055","volume":"107","author":"Z Qi","year":"2016","unstructured":"Qi Z, Wang B, Tian Y, Zhang P (2016) When ensemble learning meets deep learning: a new deep support vector machine for classification. Knowl Based Syst 107:54\u201360","journal-title":"Knowl Based Syst"},{"key":"140_CR8","doi-asserted-by":"crossref","unstructured":"Schuld M (2021) Supervised quantum machine learning models are kernel methods","DOI":"10.1007\/978-3-030-83098-4_6"},{"key":"140_CR9","doi-asserted-by":"crossref","unstructured":"Schuld M,\u00a0Killoran N (2019) Quantum machine learning in feature hilbert spaces. Phys Rev Lett 122(4)","DOI":"10.1103\/PhysRevLett.122.040504"},{"key":"140_CR10","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s10107-010-0420-4","volume":"127","author":"S Shalev-Shwartz","year":"2011","unstructured":"Shalev-Shwartz S, Singer Y, Srebro N, Cotter A (2011) Pegasos: primal estimated sub-gradient solver for SVM. Math Program 127:3\u201330","journal-title":"Math Program"},{"issue":"5","key":"140_CR11","doi-asserted-by":"publisher","first-page":"1484","DOI":"10.1137\/S0097539795293172","volume":"26","author":"PW Shor","year":"1997","unstructured":"Shor PW (1997) Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput 26(5):1484\u20131509","journal-title":"SIAM J Comput"},{"key":"140_CR12","doi-asserted-by":"crossref","unstructured":"Simon L,\u00a0Radons M (2023) Algorithms for the training of neural support vector machines","DOI":"10.21203\/rs.3.rs-3309517\/v1"},{"issue":"3","key":"140_CR13","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1109\/9.119632","volume":"37","author":"JC Spall","year":"1992","unstructured":"Spall JC (1992) Multivariate stochastic approximation using a simultaneous perturbation gradient approximation. IEEE Transactions on Automatic Control 37(3):332\u2013341","journal-title":"IEEE Transactions on Automatic Control"},{"key":"140_CR14","unstructured":"Steinwart I,\u00a0Christmann A (2008) Support Vector Machines. Springer Publishing Company, Incorporated, 1st edition"},{"key":"140_CR15","unstructured":"Tang Y (2015) Deep learning using linear support vector machines"},{"key":"140_CR16","unstructured":"Wiering M,\u00a0van der Ree M,\u00a0Embrechts M,\u00a0Stollenga M,\u00a0Meijster A, Nolte A,\u00a0Schomaker L (2013) The neural support vector machine. In: The 25th Benelux Artificial Intelligence Conference (BNAIC). Best paper award"},{"key":"140_CR17","unstructured":"Xiao H, Rasul K, Vollgraf R (2017) Fashion-mnist: a novel image dataset for benchmarking machine learning algorithms"}],"container-title":["Quantum Machine Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42484-024-00140-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s42484-024-00140-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42484-024-00140-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,24]],"date-time":"2024-06-24T12:18:44Z","timestamp":1719231524000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s42484-024-00140-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,22]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["140"],"URL":"https:\/\/doi.org\/10.1007\/s42484-024-00140-9","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-3309517\/v1","asserted-by":"object"}]},"ISSN":["2524-4906","2524-4914"],"issn-type":[{"value":"2524-4906","type":"print"},{"value":"2524-4914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,22]]},"assertion":[{"value":"30 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 January 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"3"}}