{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T18:13:37Z","timestamp":1743099217274,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030504199"},{"type":"electronic","value":"9783030504205"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"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":[[2020]]},"DOI":"10.1007\/978-3-030-50420-5_30","type":"book-chapter","created":{"date-parts":[[2020,6,19]],"date-time":"2020-06-19T11:04:32Z","timestamp":1592564672000},"page":"414-423","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Interval Methods for Seeking Fixed Points of Recurrent Neural Networks"],"prefix":"10.1007","author":[{"given":"Bart\u0142omiej Jacek","family":"Kubica","sequence":"first","affiliation":[]},{"given":"Pawe\u0142","family":"Hoser","sequence":"additional","affiliation":[]},{"given":"Artur","family":"Wili\u0144ski","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,6,15]]},"reference":[{"key":"30_CR1","unstructured":"C++ eXtended Scientific Computing Library (2017). http:\/\/www.xsc.de"},{"key":"30_CR2","unstructured":"Intel TBB (2017). http:\/\/www.threadingbuildingblocks.org"},{"key":"30_CR3","unstructured":"ADHC, C++ Library (2018). https:\/\/www.researchgate.net\/publication\/316610415_ADHC_Algorithmic_Differentiation_and_Hull_Consistency_Alfa-05"},{"key":"30_CR4","unstructured":"HIBA$$\\_$$USNE, C++ library (2018). https:\/\/www.researchgate.net\/publication\/316687827_HIBA_USNE_Heuristical_Interval_Branch-and-prune_Algorithm_for_Underdetermined_and_well-determined_Systems_of_Nonlinear_Equations_-_Beta_25"},{"key":"30_CR5","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/j.neunet.2014.02.006","volume":"54","author":"SP Adam","year":"2014","unstructured":"Adam, S.P., Karras, D.A., Magoulas, G.D., Vrahatis, M.N.: Solving the linear interval tolerance problem for weight initialization of neural networks. Neural Netw. 54, 17\u201337 (2014)","journal-title":"Neural Netw."},{"key":"30_CR6","unstructured":"Beheshti, M., Berrached, A., de Korvin, A., Hu, C., Sirisaengtaksin, O.: On interval weighted three-layer neural networks. In: 1998 Proceedings of the 31st Annual Simulation Symposium, pp. 188\u2013194. IEEE (1998)"},{"key":"30_CR7","volume-title":"Deep Learning","author":"I Goodfellow","year":"2016","unstructured":"Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press, Cambridge (2016)"},{"key":"30_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0249-6","volume-title":"Applied Interval Analysis","author":"L Jaulin","year":"2001","unstructured":"Jaulin, L., Kieffer, M., Didrit, O., Walter, E.: Applied Interval Analysis. Springer, Heidelberg (2001). https:\/\/doi.org\/10.1007\/978-1-4471-0249-6"},{"key":"30_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2495-0","volume-title":"Rigorous Global Search: Continuous Problems","author":"RB Kearfott","year":"1996","unstructured":"Kearfott, R.B.: Rigorous Global Search: Continuous Problems. Kluwer, Dordrecht (1996)"},{"issue":"1","key":"30_CR10","first-page":"7","volume":"15","author":"RB Kearfott","year":"2010","unstructured":"Kearfott, R.B., Nakao, M.T., Neumaier, A., Rump, S.M., Shary, S.P., van Hentenryck, P.: Standardized notation in interval analysis. Vychislennyie Tiehnologii (Comput. Technol.) 15(1), 7\u201313 (2010)","journal-title":"Vychislennyie Tiehnologii (Comput. Technol.)"},{"key":"30_CR11","first-page":"207","volume":"15","author":"BJ Kubica","year":"2011","unstructured":"Kubica, B.J.: Interval methods for solving underdetermined nonlinear equations systems. Reliable Comput. 15, 207\u2013217 (2011). Proceedings of SCAN 2008","journal-title":"Reliable Comput."},{"key":"30_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1007\/978-3-642-31500-8_48","volume-title":"Parallel Processing and Applied Mathematics","author":"BJ Kubica","year":"2012","unstructured":"Kubica, B.J.: Tuning the multithreaded interval method for solving underdetermined systems of nonlinear equations. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wa\u015bniewski, J. (eds.) PPAM 2011. LNCS, vol. 7204, pp. 467\u2013476. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-31500-8_48"},{"issue":"4","key":"30_CR13","first-page":"385","volume":"19","author":"BJ Kubica","year":"2014","unstructured":"Kubica, B.J.: Excluding regions using Sobol sequences in an interval branch-and-prune method for nonlinear systems. Reliable Comput. 19(4), 385\u2013397 (2014). Proceedings of SCAN 2012 (15th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics)","journal-title":"Reliable Comput."},{"issue":"4","key":"30_CR14","doi-asserted-by":"publisher","first-page":"929","DOI":"10.1007\/s11075-015-9980-y","volume":"70","author":"BJ Kubica","year":"2015","unstructured":"Kubica, B.J.: Presentation of a highly tuned multithreaded interval solver for underdetermined and well-determined nonlinear systems. Numer. Algorithms 70(4), 929\u2013963 (2015). https:\/\/doi.org\/10.1007\/s11075-015-9980-y","journal-title":"Numer. Algorithms"},{"key":"30_CR15","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/j.jpdc.2017.03.009","volume":"107","author":"BJ Kubica","year":"2017","unstructured":"Kubica, B.J.: Parallelization of a bound-consistency enforcing procedure and its application in solving nonlinear systems. J. Parallel Distrib. Comput. 107, 57\u201366 (2017)","journal-title":"J. Parallel Distrib. Comput."},{"key":"30_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1007\/978-3-319-78054-2_36","volume-title":"Parallel Processing and Applied Mathematics","author":"BJ Kubica","year":"2018","unstructured":"Kubica, B.J.: Role of hull-consistency in the HIBA$$\\_$$USNE multithreaded solver for\u00a0nonlinear systems. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds.) PPAM 2017. LNCS, vol. 10778, pp. 381\u2013390. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-78054-2_36"},{"key":"30_CR17","series-title":"Studies in Computational Intelligence","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-13795-3","volume-title":"Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems","author":"BJ Kubica","year":"2019","unstructured":"Kubica, B.J.: Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems. SCI, vol. 805. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-13795-3"},{"key":"30_CR18","unstructured":"Ma\u0144dziuk, J.: Hopfield-type neural networks. Theory and applications, Akademicka Oficyna Wydawnicza EXIT (2000). (in Polish)"},{"issue":"11","key":"30_CR19","doi-asserted-by":"publisher","first-page":"1865","DOI":"10.1134\/S0005117912110082","volume":"73","author":"PV Saraev","year":"2012","unstructured":"Saraev, P.V.: Numerical methods of interval analysis in learning neural network. Autom. Remote Control 73(11), 1865\u20131876 (2012)","journal-title":"Autom. Remote Control"},{"key":"30_CR20","unstructured":"Shary, S.P.: Finite-dimensional interval analysis. Institute of Computational Technologies, Sibirian Branch of Russian Academy of Science, Novosibirsk (2013)"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2020"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-50420-5_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T23:20:48Z","timestamp":1718752848000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-50420-5_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030504199","9783030504205"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-50420-5_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"15 June 2020","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":"Amsterdam","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 June 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 June 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccs-computsci2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.iccs-meeting.org\/iccs2020\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"230","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"98","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"43% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.5","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"4","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"248 workshop papers were selected from 489 submissions to the thematic tracks. The conference was canceled due to the COVID-19 pandemic.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}