{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T11:28:00Z","timestamp":1770290880942,"version":"3.49.0"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031976285","type":"print"},{"value":"9783031976292","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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":[[2025]]},"DOI":"10.1007\/978-3-031-97629-2_2","type":"book-chapter","created":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T10:30:58Z","timestamp":1751625058000},"page":"19-34","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["i-QLS: Quantum-Supported Algorithm for\u00a0Least Squares Optimization in\u00a0Non-linear Regression"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9824-7399","authenticated-orcid":false,"given":"Supreeth Mysore","family":"Venkatesh","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1348-250X","authenticated-orcid":false,"given":"Antonio","family":"Macaluso","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7829-6102","authenticated-orcid":false,"given":"Diego","family":"Arenas","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0009-5431-8640","authenticated-orcid":false,"given":"Matthias","family":"Klusch","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6100-8255","authenticated-orcid":false,"given":"Andreas","family":"Dengel","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,7,5]]},"reference":[{"key":"2_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1007\/978-3-030-10564-8_23","volume-title":"WALCOM: Algorithms and Computation","author":"A Borle","year":"2019","unstructured":"Borle, A., Lomonaco, S.J.: Analyzing the quantum annealing approach for solving linear least squares problems. In: Das, G.K., Mandal, P.S., Mukhopadhyaya, K., Nakano, S. (eds.) WALCOM 2019. LNCS, vol. 11355, pp. 289\u2013301. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-10564-8_23"},{"key":"2_CR2","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/BF00994018","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes, C., Vapnik, V.: Support-vector networks. Mach. Learn. 20, 273\u2013297 (1995)","journal-title":"Mach. Learn."},{"issue":"1","key":"2_CR3","doi-asserted-by":"publisher","first-page":"17216","DOI":"10.1038\/s41598-019-53585-5","volume":"9","author":"W Cruz-Santos","year":"2019","unstructured":"Cruz-Santos, W., Venegas-Andraca, S.E., Lanzagorta, M.: A qubo formulation of minimum multicut problem instances in trees for d-wave quantum annealers. Sci. Rep. 9(1), 17216 (2019). https:\/\/doi.org\/10.1038\/s41598-019-53585-5","journal-title":"Sci. Rep."},{"issue":"1","key":"2_CR4","doi-asserted-by":"publisher","first-page":"21905","DOI":"10.1038\/s41598-021-01445-6","volume":"11","author":"P Date","year":"2021","unstructured":"Date, P., Potok, T.: Adiabatic quantum linear regression. Sci. Rep. 11(1), 21905 (2021). https:\/\/doi.org\/10.1038\/s41598-021-01445-6","journal-title":"Sci. Rep."},{"key":"2_CR5","doi-asserted-by":"crossref","unstructured":"De\u00a0Boor, C., De\u00a0Boor, C.: A Practical Guide to Splines, vol.\u00a027. Springer, New York (1978)","DOI":"10.1007\/978-1-4612-6333-3"},{"issue":"3","key":"2_CR6","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1093\/comjnl\/4.3.265","volume":"4","author":"J Francis","year":"1961","unstructured":"Francis, J.: The qr transformation a unitary analogue to the lr transformation\u2013part 1. Comput. J. 4(3), 265\u2013271 (1961). https:\/\/doi.org\/10.1093\/comjnl\/4.3.265","journal-title":"Comput. J."},{"key":"2_CR7","unstructured":"Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press, Cmbridge (2016). http:\/\/www.deeplearningbook.org"},{"issue":"4","key":"2_CR8","first-page":"2715","volume":"18","author":"SH Haji","year":"2021","unstructured":"Haji, S.H., Abdulazeez, A.M.: Comparison of optimization techniques based on gradient descent algorithm: a review. PalArch\u2019s J. Archaeol. Egypt\/Egyptology 18(4), 2715\u20132743 (2021)","journal-title":"PalArch\u2019s J. Archaeol. Egypt\/Egyptology"},{"issue":"15","key":"2_CR9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.150502","volume":"103","author":"AW Harrow","year":"2009","unstructured":"Harrow, A.W., Hassidim, A., Lloyd, S.: Quantum algorithm for linear systems of equations. Phys. Rev. Lett. 103(15), 150502 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"2_CR10","doi-asserted-by":"crossref","unstructured":"Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning. Springer Series in Statistics, Springer New York Inc., New York (2001)","DOI":"10.1007\/978-0-387-21606-5"},{"key":"2_CR11","doi-asserted-by":"publisher","unstructured":"Inajetovic, M.A., Orazi, F., Macaluso, A., Lodi, S., Sartori, C.: Enabling non-linear quantum operations through variational quantum splines. In: International Conference on Computational Science, pp. 177\u2013192. Springer, Heidelberg (2023). https:\/\/doi.org\/10.1007\/978-3-031-36030-5_14","DOI":"10.1007\/978-3-031-36030-5_14"},{"issue":"1","key":"2_CR12","doi-asserted-by":"publisher","first-page":"5676","DOI":"10.1038\/s41467-024-49877-8","volume":"15","author":"S Jerbi","year":"2024","unstructured":"Jerbi, S., Gyurik, C., Marshall, S.C., Molteni, R., Dunjko, V.: Shadows of quantum machine learning. Nat. Commun. 15(1), 5676 (2024)","journal-title":"Nat. Commun."},{"issue":"1","key":"2_CR13","doi-asserted-by":"publisher","first-page":"33","DOI":"10.6028\/jres.049.006","volume":"49","author":"C Lanczos","year":"1952","unstructured":"Lanczos, C.: Solution of systems of linear equations by minimized iterations. J. Res. Nat. Bur. Stand. 49(1), 33\u201353 (1952)","journal-title":"J. Res. Nat. Bur. Stand."},{"key":"2_CR14","doi-asserted-by":"crossref","unstructured":"Macaluso, A.: Quantum supervised learning. KI-K\u00fcnstliche Intelligenz, pp. 1\u201315 (2024)","DOI":"10.1007\/s13218-024-00856-7"},{"key":"2_CR15","doi-asserted-by":"crossref","unstructured":"Macaluso, A., Clissa, L., Lodi, S., Sartori, C.: Quantum splines for non-linear approximations. In: Proceedings of the 17th ACM International Conference on Computing Frontiers, pp. 249\u2013252 (2020)","DOI":"10.1145\/3387902.3394032"},{"issue":"6","key":"2_CR16","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1109\/79.543975","volume":"13","author":"TK Moon","year":"1996","unstructured":"Moon, T.K.: The expectation-maximization algorithm. IEEE Signal Process. Mag. 13(6), 47\u201360 (1996)","journal-title":"IEEE Signal Process. Mag."},{"key":"2_CR17","unstructured":"Mor\u00e9, J.J., Sorensen, D.C.: Newton\u2019s method. Technical report. Argonne National Lab.(ANL), Argonne, IL (United States) (1982)"},{"key":"2_CR18","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1007\/978-3-031-36030-5_11","volume-title":"Computational Science - ICCS 2023","author":"S Mysore Venkatesh","year":"2023","unstructured":"Mysore Venkatesh, S., Macaluso, A., Klusch, M.: GCS-Q: quantum graph coalition structure generation. In: Miky\u0161ka, J., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds.) Computational Science - ICCS 2023, pp. 138\u2013152. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-36030-5_11"},{"issue":"3","key":"2_CR19","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1007\/BF02162161","volume":"10","author":"CH Reinsch","year":"1967","unstructured":"Reinsch, C.H.: Smoothing by spline functions. Numerische mathematik 10(3), 177\u2013183 (1967)","journal-title":"Numerische mathematik"},{"issue":"1","key":"2_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s42484-024-00219-3","volume":"7","author":"A Sinha","year":"2025","unstructured":"Sinha, A., Macaluso, A., Klusch, M.: NAV-Q: quantum deep reinforcement learning for collision-free navigation of self-driving cars. Quant. Mach. Intell. 7(1), 1\u201320 (2025)","journal-title":"Quant. Mach. Intell."},{"issue":"5","key":"2_CR21","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1109\/MCG.2024.3455012","volume":"44","author":"SM Venkatesh","year":"2024","unstructured":"Venkatesh, S.M., Macaluso, A., Nuske, M., Klusch, M., Dengel, A.: Q-SEG: quantum annealing-based unsupervised image segmentation. IEEE Comput. Graph. Appl. 44(5), 27\u201339 (2024). https:\/\/doi.org\/10.1109\/MCG.2024.3455012","journal-title":"IEEE Comput. Graph. Appl."},{"key":"2_CR22","unstructured":"Woodbury, M.A.: Inverting modified matrices. Department of Statistics, Princeton University (1950)"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2025"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-97629-2_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T10:31:01Z","timestamp":1751625061000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-97629-2_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031976285","9783031976292"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-97629-2_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"5 July 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"The code associated with\u00a0this paper is available at: .","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code Availability"}},{"value":"ICCS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Science","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Singapore","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Singapore","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 July 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 July 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccs-computsci2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.iccs-meeting.org\/iccs2025\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}