{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T00:16:47Z","timestamp":1773706607770,"version":"3.50.1"},"publisher-location":"Cham","reference-count":35,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031652226","type":"print"},{"value":"9783031652233","type":"electronic"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"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":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-65223-3_16","type":"book-chapter","created":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T07:02:22Z","timestamp":1722322942000},"page":"235-246","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Mathematical and\u00a0Statistical Frameworks Fostering Advances in\u00a0AI Systems and\u00a0Computing"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3283-9946","authenticated-orcid":false,"given":"Teresa A.","family":"Oliveira","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7944-0134","authenticated-orcid":false,"given":"Maria Filomena","family":"Teodoro","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,7,31]]},"reference":[{"key":"16_CR1","doi-asserted-by":"publisher","first-page":"2328","DOI":"10.4103\/jfmpc.jfmpc_440_19","volume":"8","author":"P Malik","year":"2019","unstructured":"Malik, P., et al.: Overview of artificial intelligence in medicine. J. Family Med. Primary Care 8, 2328 (2019)","journal-title":"J. Family Med. Primary Care"},{"issue":"6","key":"16_CR2","doi-asserted-by":"publisher","first-page":"785","DOI":"10.1093\/nsr\/nwy120","volume":"5","author":"MM Poo","year":"2018","unstructured":"Poo, M.M.: Towards brain-inspired artificial intelligence. Natl. Sci. Rev. 5(6), 785 (2018)","journal-title":"Natl. Sci. Rev."},{"key":"16_CR3","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/978-3-319-67349-3_4","volume-title":"Advances in Artificial Systems for Medicine and Education","author":"NA Balonin","year":"2018","unstructured":"Balonin, N.A., Petoukhov, S.V., Sergeev, M.B.: Matrices in improvement of systems of artificial intelligence and education of specialists. In: AIMEE 2017. AISC, vol. 658, pp. 39\u201352. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-67349-3_4"},{"key":"16_CR4","doi-asserted-by":"publisher","first-page":"685","DOI":"10.1109\/TNNLS.2020.2979121","volume":"32","author":"I Karabayir","year":"2020","unstructured":"Karabayir, I., et al.: A novel learning algorithm to optimize deep neural networks: evolved gradient direction optimizer (EVGO). IEEE Trans. Neural Netw. Learn. Syst. 32, 685\u2013694 (2020)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"6","key":"16_CR5","doi-asserted-by":"publisher","first-page":"1360","DOI":"10.3390\/math11061360","volume":"11","author":"F Mehmood","year":"2023","unstructured":"Mehmood, F., et al.: An efficient optimization technique for training deep neural networks. Mathematics 11(6), 1360 (2023)","journal-title":"Mathematics"},{"key":"16_CR6","doi-asserted-by":"publisher","first-page":"1235","DOI":"10.1007\/s11425-019-1628-5","volume":"63","author":"E Weinan","year":"2020","unstructured":"Weinan, E., et al.: A comparative analysis of optimization and generalization properties of two-layer neural network and random feature models under gradient descent dynamics. Sci. China Math. 63, 1235\u20131258 (2020)","journal-title":"Sci. China Math."},{"key":"16_CR7","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1177\/0008125619864925","volume":"61","author":"M Haenlein","year":"2019","unstructured":"Haenlein, M., Kaplan, A.: A brief history of artificial intelligence: on the past, present, and future of artificial intelligence. Calif. Manag. Rev. 61, 5\u201314 (2019)","journal-title":"Calif. Manag. Rev."},{"key":"16_CR8","first-page":"2121","volume":"12","author":"J Duchi","year":"2011","unstructured":"Duchi, J., et al.: Adaptive subgradient methods for online learning and stochastic optimization. J. Mach. Learn. Res. 12, 2121\u20132159 (2011)","journal-title":"J. Mach. Learn. Res."},{"key":"16_CR9","doi-asserted-by":"crossref","unstructured":"Agaian, S.S.: Hadamard matrices and their applications. In: Dold, A., Eckmann, B. (eds.) LNM, vol. 1168. Springer, Cham (1985)","DOI":"10.1007\/BFb0101077"},{"key":"16_CR10","unstructured":"Banica, T.: Invitation to Hadamard matrices. ffhal-02317067v6f. HAL Open Science (2023). hAL Id: hal-02317067. https:\/\/hal.science\/hal-02317067v6. Accessed 8 May 2024"},{"key":"16_CR11","doi-asserted-by":"crossref","unstructured":"Francisco, C., Oliveira, T., et\u00a0al.: Hadamard matrices and links to information theory. In: Simos, T.E., et\u00a0al. (eds.) Numerical Analysis and Applied Mathematics, ICNAAM 2014. AIP Conference Proceedings, vol. 1978, p. 460008. American Institute of Physics (2018)","DOI":"10.1063\/1.5044070"},{"key":"16_CR12","series-title":"Contributions to Statistics","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/978-3-030-17519-1_8","volume-title":"Matrices, Statistics and Big Data","author":"C Francisco","year":"2019","unstructured":"Francisco, C., Oliveira, T.A., Oliveira, A., Carvalho, F.: Hadamard matrices on error detection and correction: useful links to BIBD. In: Ahmed, S.E., Carvalho, F., Puntanen, S. (eds.) IWMS 2016. CS, pp. 99\u2013110. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-17519-1_8"},{"key":"16_CR13","volume-title":"Principles of Econometrics","author":"RC Hill","year":"2018","unstructured":"Hill, R.C., Griffiths, W.E., Lim, G.C.: Principles of Econometrics, 5th edn. Wiley, New York (2018)","edition":"5"},{"key":"16_CR14","doi-asserted-by":"publisher","DOI":"10.1017\/9781108923071","volume-title":"Applied Regression Models in the Social Sciences","author":"DL Poston","year":"2023","unstructured":"Poston, D.L., Conde, E., Field, L.M.: Applied Regression Models in the Social Sciences. Cambridge University Press, Cambridge (2023)"},{"key":"16_CR15","unstructured":"Geramita, A.V., et\u00a0al.: Orthogonal Designs: Quadratic Forms and Hadamard Matrices, 1st edn., Lecture Notes in Pure and Applied Mathematics, vol.\u00a045. Dekker, M., New York-Basel (1979)"},{"key":"16_CR16","unstructured":"Hall, J.: Combinatorial Theory, 2nd edn. Wiley, New York (1986)"},{"key":"16_CR17","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511813870","volume-title":"Quantum Computer Science: An Introduction","author":"N Mermin","year":"2007","unstructured":"Mermin, N.: Quantum Computer Science: An Introduction, 1st edn. Cambridge University Press, Cambridge (2007)","edition":"1"},{"key":"16_CR18","doi-asserted-by":"publisher","DOI":"10.1515\/9781400842902","volume-title":"Hadamard Matrices and Their Applications","author":"K Horadam","year":"2007","unstructured":"Horadam, K.: Hadamard Matrices and Their Applications. Princeton University Press, Princeton (2007)"},{"key":"16_CR19","doi-asserted-by":"crossref","unstructured":"Francisco, C., Oliveira, T.: BIBD, Hadamard matrices and new technological devices: applications to QR codes. In: Simos, T.E., et\u00a0al. (eds.) Numerical Analysis and Applied Mathematics, ICNAAM 2014. AIP Conference Proceedings, vol. 1648, p. 840004. American Institute of Physics (2015)","DOI":"10.1063\/1.4913044"},{"key":"16_CR20","unstructured":"Osborn, J.H.: The Hadamard Maximal Determinant Problem. Honours thesis, University of Melbourne (2002). http:\/\/maths-people.anu.edu.au\/osborn\/publications\/pubsall.html. Accessed 8 May 2024"},{"key":"16_CR21","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/BF02582942","volume":"1","author":"K Sawade","year":"1985","unstructured":"Sawade, K.: A Hadamard matrix of order-268. Graphs Combinatorics 1, 185\u2013187 (1985)","journal-title":"Graphs Combinatorics"},{"key":"16_CR22","unstructured":"Sopin, V.: Hadamard conjecture proof. ffhal-03693678f (2022). hAL Id: hal-03693678. https:\/\/hal.science\/hal-03693678. Accessed 8 May 2024"},{"key":"16_CR23","doi-asserted-by":"publisher","first-page":"120","DOI":"10.2478\/spma-2014-0013","volume":"2","author":"M Mitrouli","year":"2014","unstructured":"Mitrouli, M.: Sylvester Hadamard matrices revisited. Special Matrices 2, 120\u2013124 (2014)","journal-title":"Special Matrices"},{"key":"16_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3533378","volume":"55","author":"A Paleyes","year":"2022","unstructured":"Paleyes, A., et al.: Challenges in deploying machine learning: a survey of case studies. ACM Comput. Surv. 55, 1\u201329 (2022)","journal-title":"ACM Comput. Surv."},{"issue":"6","key":"16_CR25","doi-asserted-by":"publisher","first-page":"1184","DOI":"10.1214\/aos\/1176344370","volume":"6","author":"A Hedayat","year":"1978","unstructured":"Hedayat, A., Wallis, W.D.: Hadamard matrices and their applications. Ann. Stat. 6(6), 1184\u20131238 (1978)","journal-title":"Ann. Stat."},{"key":"16_CR26","unstructured":"Sloane, N.: A library of Hadamard matrices (2004). http:\/\/neilsloane.com\/hadamard\/. Accessed 7 May 2024"},{"key":"16_CR27","unstructured":"Cameron, J.: Hadamard matrices (2006). http:\/\/designtheory.org\/library\/encyc\/topics\/had.pdf. Accessed 7 May 2024"},{"key":"16_CR28","unstructured":"University of\u00a0London: Encyclopedia of design theory (2004). https:\/\/webspace.maths.qmul.ac.uk\/l.h.soicher\/designtheory.org\/library\/encyc\/. Accessed 7 May 2024"},{"key":"16_CR29","first-page":"3","volume":"2","author":"E Haralambos","year":"2003","unstructured":"Haralambos, E., et al.: Applications of Hadamard matrices. J. Telecommun. Inf. Technol. 2, 3\u201310 (2003)","journal-title":"J. Telecommun. Inf. Technol."},{"key":"16_CR30","unstructured":"Oliveira, T.A.: Provas de agrega\u00e7\u00e3o: Li\u00e7\u00e3o- projecto unidade curricular e curriculum. Agrega\u00e7\u00e3o, Universidade Aberta (2019). http:\/\/hdl.handle.net\/10400.2\/8888. Accessed 8 May 2024"},{"key":"16_CR31","unstructured":"A.D.R. Group: Quantum optics and quantum many-body systems (2011). https:\/\/qoqms.phys.strath.ac.uk\/research_qc.html. Accessed 7 May 2024"},{"key":"16_CR32","doi-asserted-by":"crossref","unstructured":"Woerner, S., Egger, D.: Quantum risk analysis. NPJ Quantum Inf. 5, Article no. 15 (2019)","DOI":"10.1038\/s41534-019-0130-6"},{"key":"16_CR33","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1038\/nature23474","volume":"549","author":"J Biamonte","year":"2017","unstructured":"Biamonte, J., et al.: Quantum machine learning. Nature 549, 195\u2013202 (2017)","journal-title":"Nature"},{"key":"16_CR34","doi-asserted-by":"publisher","first-page":"2277","DOI":"10.1038\/s41467-024-45882-z","volume":"15","author":"E Gil-Fuster","year":"2024","unstructured":"Gil-Fuster, E., et al.: Understanding quantum machine learning also requires rethinking generalization. Nat. Commun. 15, 2277 (2024)","journal-title":"Nat. Commun."},{"key":"16_CR35","doi-asserted-by":"publisher","first-page":"829","DOI":"10.3390\/math12060829","volume":"12","author":"H Singh","year":"2024","unstructured":"Singh, H.: Application of generalized Gaussian radial basis function and its reproducing kernel theory. Mathematics 12, 829 (2024)","journal-title":"Mathematics"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2024 Workshops"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-65223-3_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T07:04:42Z","timestamp":1722323082000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-65223-3_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031652226","9783031652233"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-65223-3_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"31 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICCSA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Science and Its Applications","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Hanoi","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Vietnam","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccsa2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}