{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,29]],"date-time":"2026-06-29T06:40:17Z","timestamp":1782715217729,"version":"3.54.5"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031975660","type":"print"},{"value":"9783031975677","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\/978-3-031-97567-7_1","type":"book-chapter","created":{"date-parts":[[2025,7,3]],"date-time":"2025-07-03T05:28:50Z","timestamp":1751520530000},"page":"3-17","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Cluster-Based Reduced-Order Modelling and\u00a0Control for\u00a0Chaotic Systems with\u00a0Extreme Events"],"prefix":"10.1007","author":[{"given":"Yuxuan","family":"Yang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nguyen Anh Khoa","family":"Doan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,7,4]]},"reference":[{"key":"1_CR1","unstructured":"Arthur, D., Vassilvitskii, S., et\u00a0al.: k-means++: the advantages of careful seeding. Soda 7, 1027\u20131035 (2007)"},{"issue":"6","key":"1_CR2","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/S0370-1573(01)00025-4","volume":"356","author":"G Boffetta","year":"2002","unstructured":"Boffetta, G., Cencini, M., Falcioni, M., Vulpiani, A.: Predictability: a way to characterize complexity. Phys. Rep. 356(6), 367\u2013474 (2002)","journal-title":"Phys. Rep."},{"issue":"1","key":"1_CR3","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1146\/annurev-fluid-010719-060214","volume":"52","author":"SL Brunton","year":"2020","unstructured":"Brunton, S.L., Noack, B.R., Koumoutsakos, P.: Machine learning for fluid mechanics. Annu. Rev. Fluid Mech. 52(1), 477\u2013508 (2020)","journal-title":"Annu. Rev. Fluid Mech."},{"key":"1_CR4","doi-asserted-by":"publisher","first-page":"033101","DOI":"10.1063\/1.5122199","volume":"30","author":"N Chen","year":"2020","unstructured":"Chen, N., Majda, A.J.: Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series. Chaos 30, 033101 (2020)","journal-title":"Chaos"},{"key":"1_CR5","doi-asserted-by":"publisher","first-page":"A24","DOI":"10.1017\/jfm.2021.1105","volume":"934","author":"N Deng","year":"2022","unstructured":"Deng, N., Noack, B.R., Morzy\u0144ski, M., Pastur, L.R.: Cluster-based hierarchical network model of the fluidic pinball-cartographing transient and post-transient, multi-frequency, multi-attractor behaviour. J. Fluid Mech. 934, A24 (2022)","journal-title":"J. Fluid Mech."},{"key":"1_CR6","first-page":"20210135","volume":"477","author":"N Doan","year":"2021","unstructured":"Doan, N., Polifke, W., Magri, L.: Short- and long-term predictions of chaotic flows and extreme events: a physics-constrained reservoir computing approach. Proc. R. Soc. Lond. A 477, 20210135 (2021)","journal-title":"Proc. R. Soc. Lond. A"},{"key":"1_CR7","doi-asserted-by":"crossref","unstructured":"Fernex, D., Noack, B.R., Semaan, R.: Cluster-based network modeling\u2014from snapshots to complex dynamical systems. Sci. Adv. 7(25), eabf5006 (2021)","DOI":"10.1126\/sciadv.abf5006"},{"issue":"3","key":"1_CR8","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1006\/nimg.1998.0391","volume":"9","author":"C Goutte","year":"1999","unstructured":"Goutte, C., Toft, P., Rostrup, E., Nielsen, F.\u00c5., Hansen, L.K.: On clustering fMRI time series. Neuroimage 9(3), 298\u2013310 (1999)","journal-title":"Neuroimage"},{"key":"1_CR9","doi-asserted-by":"crossref","unstructured":"Holmes, P.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press (2012)","DOI":"10.1017\/CBO9780511919701"},{"key":"1_CR10","doi-asserted-by":"crossref","unstructured":"Hou, C., Deng, N., Noack, B.R.: Trajectory-optimized cluster-based network model for the sphere wake. Phys. Fluids 34(8) (2022)","DOI":"10.1063\/5.0098655"},{"key":"1_CR11","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1017\/jfm.2014.355","volume":"754","author":"E Kaiser","year":"2014","unstructured":"Kaiser, E., et al.: Cluster-based reduced-order modelling of a mixing layer. J. Fluid Mech. 754, 365\u2013414 (2014)","journal-title":"J. Fluid Mech."},{"key":"1_CR12","doi-asserted-by":"publisher","first-page":"A21","DOI":"10.1017\/jfm.2020.785","volume":"906","author":"H Li","year":"2021","unstructured":"Li, H., Fernex, D., Semaan, R., Tan, J., Morzy\u0144ski, M., Noack, B.R.: Cluster-based network model. J. Fluid Mech. 906, A21 (2021)","journal-title":"J. Fluid Mech."},{"issue":"2","key":"1_CR13","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1109\/TIT.1982.1056489","volume":"28","author":"S Lloyd","year":"1982","unstructured":"Lloyd, S.: Least squares quantization in PCM. IEEE Trans. Inf. Theory 28(2), 129\u2013137 (1982)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"1_CR14","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1088\/1367-2630\/6\/1\/056","volume":"6","author":"J Moehlis","year":"2004","unstructured":"Moehlis, J., Faisst, H., Eckhardt, B.: A low-dimensional model for turbulent shear flows. New J. Phys. 6(1), 56 (2004)","journal-title":"New J. Phys."},{"key":"1_CR15","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1017\/jfm.2019.469","volume":"875","author":"AG Nair","year":"2019","unstructured":"Nair, A.G., Yeh, C.A., Kaiser, E., Noack, B.R., Brunton, S.L., Taira, K.: Cluster-based feedback control of turbulent post-stall separated flows. J. Fluid Mech. 875, 345\u2013375 (2019)","journal-title":"J. Fluid Mech."},{"issue":"4","key":"1_CR16","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","volume":"7","author":"JA Nelder","year":"1965","unstructured":"Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7(4), 308\u2013313 (1965)","journal-title":"Comput. J."},{"key":"1_CR17","doi-asserted-by":"publisher","first-page":"A2","DOI":"10.1017\/jfm.2023.716","volume":"975","author":"A Racca","year":"2023","unstructured":"Racca, A., Doan, N., Magri, L.: Predicting turbulent dynamics with the convolutional autoencoder echo state network. J. Fluid Mech. 975, A2 (2023)","journal-title":"J. Fluid Mech."},{"issue":"10","key":"1_CR18","doi-asserted-by":"publisher","first-page":"104402","DOI":"10.1103\/PhysRevFluids.7.104402","volume":"7","author":"A Racca","year":"2022","unstructured":"Racca, A., Magri, L.: Data-driven prediction and control of extreme events in a chaotic flow. Phys. Rev. Fluids 7(10), 104402 (2022)","journal-title":"Phys. Rev. Fluids"},{"key":"1_CR19","doi-asserted-by":"crossref","unstructured":"Reynolds, O.: Iv. on the dynamical theory of incompressible viscous fluids and the determination of the criterion. Philos. Trans. R. Soc. Lond. A 186, 123\u2013164 (1895)","DOI":"10.1098\/rsta.1895.0004"},{"key":"1_CR20","unstructured":"Schmid, P., Schmidt, O., Towne, A., Hack, M.: Analysis and prediction of rare events in turbulent flows. In: Proceedings of the Summer Program. Center for Turbulence Research (2018)"},{"key":"1_CR21","doi-asserted-by":"crossref","unstructured":"Strogatz, S.H.: Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering. CRC Press (2018)","DOI":"10.1201\/9780429399640"},{"key":"1_CR22","doi-asserted-by":"crossref","unstructured":"Thompson, V., et al.: The 2021 Western North America heat wave among the most extreme events ever recorded globally. Sci. Adv. 8(18), eabm6860 (2022)","DOI":"10.1126\/sciadv.abm6860"},{"key":"1_CR23","doi-asserted-by":"crossref","unstructured":"Tomassini, L., Gerber, E.P., Baldwin, M.P., Bunzel, F., Giorgetta, M.: The role of stratosphere-troposphere coupling in the occurrence of extreme winter cold spells over northern Europe. J. Adv. Model. Earth Syst. 4(4) (2012)","DOI":"10.1029\/2012MS000177"},{"issue":"5","key":"1_CR24","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1109\/MCSE.2023.3264340","volume":"24","author":"R Vinuesa","year":"2022","unstructured":"Vinuesa, R., Brunton, S.L.: Emerging trends in machine learning for computational fluid dynamics. Comput. Sci. Eng. 24(5), 33\u201341 (2022)","journal-title":"Comput. Sci. Eng."},{"key":"1_CR25","doi-asserted-by":"crossref","unstructured":"Wang, X., Deng, N., Cornejo\u00a0Maceda, G.Y., Noack, B.R.: Cluster-based control for net drag reduction of the fluidic pinball. Phys. Fluids 35(2) (2023)","DOI":"10.1063\/5.0136499"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2025 Workshops"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-97567-7_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,3]],"date-time":"2025-07-03T05:28:58Z","timestamp":1751520538000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-97567-7_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031975660","9783031975677"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-97567-7_1","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":"4 July 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"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"}}]}}