{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T07:51:32Z","timestamp":1773129092797,"version":"3.50.1"},"reference-count":78,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,7,1]],"date-time":"2023-07-01T00:00:00Z","timestamp":1688169600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,7,1]],"date-time":"2023-07-01T00:00:00Z","timestamp":1688169600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"ANID Beca Doctorado Nacional 2018","award":["21181978"],"award-info":[{"award-number":["21181978"]}]},{"name":"Fondecyt","award":["1211484"],"award-info":[{"award-number":["1211484"]}]},{"name":"Fondecyt","award":["1221696"],"award-info":[{"award-number":["1221696"]}]},{"name":"PIA","award":["ACT192015"],"award-info":[{"award-number":["ACT192015"]}]},{"name":"Postgoctorado Conacyt"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Data Anal Classif"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s11634-023-00548-4","type":"journal-article","created":{"date-parts":[[2023,7,1]],"date-time":"2023-07-01T11:01:47Z","timestamp":1688209307000},"page":"493-538","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A topological data analysis based classifier"],"prefix":"10.1007","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4948-6051","authenticated-orcid":false,"given":"Rolando","family":"Kindelan","sequence":"first","affiliation":[]},{"given":"Jos\u00e9","family":"Fr\u00edas","sequence":"additional","affiliation":[]},{"given":"Mauricio","family":"Cerda","sequence":"additional","affiliation":[]},{"given":"Nancy","family":"Hitschfeld","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,7,1]]},"reference":[{"issue":"8","key":"548_CR1","first-page":"1","volume":"18","author":"H Adams","year":"2017","unstructured":"Adams H, Emerson T, Kirby M et al (2017) Persistence images: a stable vector representation of persistent homology. J Mach Learn Res 18(8):1\u201335","journal-title":"J Mach Learn Res"},{"key":"548_CR2","doi-asserted-by":"crossref","unstructured":"Aggarwal CC, Hinneburg A, Keim DA (2001) On the surprising behavior of distance metrics in high dimensional spaces. In: Proceedings of the 8th international conference on database theory. Springer, Berlin, Heidelberg, ICDT \u201901, pp 420\u2013434","DOI":"10.1007\/3-540-44503-X_27"},{"key":"548_CR3","doi-asserted-by":"publisher","unstructured":"Ali D, Asaad A, Jimenez MJ et al (2022) A survey of vectorization methods in topological data analysis. https:\/\/doi.org\/10.48550\/ARXIV.2212.09703","DOI":"10.48550\/ARXIV.2212.09703"},{"key":"548_CR4","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/978-3-030-43408-3_2","volume-title":"Topological data analysis","author":"H Anai","year":"2020","unstructured":"Anai H, Chazal F, Glisse M et al (2020) Dtm-based filtrations. In: Baas NA, Carlsson GE, Quick G et al (eds) Topological data analysis. Springer, Cham, pp 33\u201366"},{"key":"548_CR5","doi-asserted-by":"publisher","first-page":"376","DOI":"10.1007\/978-3-030-27618-8_28","volume-title":"Database and expert systems applications","author":"NA Arafat","year":"2019","unstructured":"Arafat NA, Basu D, Bressan S (2019) Topological data analysis with $$\\epsilon$$-net induced lazy witness complex. In: Hartmann S, K\u00fcng J, Chakravarthy S et al (eds) Database and expert systems applications. Springer, Cham, pp 376\u2013392"},{"issue":"6, Part B","key":"548_CR6","doi-asserted-by":"publisher","first-page":"3413","DOI":"10.1016\/j.jksuci.2021.01.014","volume":"34","author":"MNU Asniar","year":"2022","unstructured":"Asniar MNU, Surendro K (2022) Smote-lof for noise identification in imbalanced data classification. J King Saud Univ Comput Inf Sci 34(6, Part B):3413\u20133423. https:\/\/doi.org\/10.1016\/j.jksuci.2021.01.014","journal-title":"J King Saud Univ Comput Inf Sci"},{"key":"548_CR7","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.patcog.2020.107509","volume":"107","author":"N Atienza","year":"2020","unstructured":"Atienza N, Gonzalez-D\u00edaz R, Soriano-Trigueros M (2020) On the stability of persistent entropy and new summary functions for topological data analysis. Pattern Recogn 107:107\u2013509. https:\/\/doi.org\/10.1016\/j.patcog.2020.107509","journal-title":"Pattern Recogn"},{"key":"548_CR8","doi-asserted-by":"publisher","unstructured":"Attali D, Lieutier A, Salinas D (2011) Efficient data structure for representing and simplifying simplicial complexes in high dimensions. In: Proceedings of the twenty-seventh annual symposium on computational geometry. Association for Computing Machinery, New York, SoCG \u201911, pp 501\u2013509. https:\/\/doi.org\/10.1145\/1998196.1998277","DOI":"10.1145\/1998196.1998277"},{"key":"548_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-011-9236-1","author":"JP Baudry","year":"2012","unstructured":"Baudry JP, Maugis C, Michel B (2012) Slope heuristics: overview and implementation. Stat Comput. https:\/\/doi.org\/10.1007\/s11222-011-9236-1","journal-title":"Stat Comput"},{"key":"548_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/s41468-021-00071-5","author":"U Bauer","year":"2021","unstructured":"Bauer U (2021) Ripser: efficient computation of vietoris-rips persistence barcodes. J Appli Comput Topol. https:\/\/doi.org\/10.1007\/s41468-021-00071-5","journal-title":"J Appli Comput Topol"},{"key":"548_CR11","doi-asserted-by":"publisher","first-page":"338","DOI":"10.22271\/chemi.2020.v8.i4f.10087","volume":"8","author":"S Bishnoi","year":"2020","unstructured":"Bishnoi S, Hooda BK (2020) A survey of distance measures for mixed variables. Int J Chem Stud 8:338\u2013343. https:\/\/doi.org\/10.22271\/chemi.2020.v8.i4f.10087","journal-title":"Int J Chem Stud"},{"issue":"4","key":"548_CR12","doi-asserted-by":"publisher","first-page":"44:1","DOI":"10.1145\/3229146","volume":"14","author":"J Boissonnat","year":"2018","unstructured":"Boissonnat J, Karthik CS (2018) An efficient representation for filtrations of simplicial complexes. ACM Trans Algorithms 14(4):44:1-44:21","journal-title":"ACM Trans Algorithms"},{"issue":"3","key":"548_CR13","doi-asserted-by":"publisher","first-page":"406","DOI":"10.1007\/s00453-014-9887-3","volume":"70","author":"J Boissonnat","year":"2014","unstructured":"Boissonnat J, Maria C (2014) The simplex tree: an efficient data structure for general simplicial complexes. Algorithmica 70(3):406\u2013427","journal-title":"Algorithmica"},{"key":"548_CR15","doi-asserted-by":"publisher","unstructured":"Boissonnat JD, Pritam S (2020) Edge collapse and persistence of flag complexes. In: Cabello S, Chen DZ (eds) 36th International symposium on computational geometry (SoCG 2020), Leibniz international proceedings in informatics (LIPIcs), vol 164. Schloss Dagstuhl\u2013Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl, Germany, pp 19:1\u201319:15. https:\/\/doi.org\/10.4230\/LIPIcs.SoCG.2020.19","DOI":"10.4230\/LIPIcs.SoCG.2020.19"},{"issue":"2","key":"548_CR14","doi-asserted-by":"publisher","first-page":"530","DOI":"10.1007\/s00453-016-0207-y","volume":"79","author":"J Boissonnat","year":"2017","unstructured":"Boissonnat J, Karthik CS, Tavenas S (2017) Building efficient and compact data structures for simplicial complexes. Algorithmica 79(2):530\u2013567","journal-title":"Algorithmica"},{"issue":"4","key":"548_CR16","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1137\/07070629X","volume":"39","author":"AZ Broder","year":"2010","unstructured":"Broder AZ, Kirsch A, Kumar R et al (2010) The hiring problem and lake Wobegon strategies. SIAM J Comput 39(4):1233\u20131255. https:\/\/doi.org\/10.1137\/07070629X","journal-title":"SIAM J Comput"},{"key":"548_CR17","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.jsc.2016.03.009","volume":"78","author":"P Bubenik","year":"2017","unstructured":"Bubenik P, D\u0142otko P (2017) A persistence landscapes toolbox for topological statistics. J Symb Comput 78:91\u2013114. https:\/\/doi.org\/10.1016\/j.jsc.2016.03.009","journal-title":"J Symb Comput"},{"issue":"6","key":"548_CR18","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1007\/s10208-011-9103-7","volume":"11","author":"C Caillerie","year":"2011","unstructured":"Caillerie C, Michel B (2011) Model selection for simplicial approximation. Found Comput Math 11(6):707\u2013731","journal-title":"Found Comput Math"},{"key":"548_CR19","doi-asserted-by":"crossref","unstructured":"Carlsson G, Gabrielsson RB (2020) Topological approaches to deep learning. In: Topological data analysis. Springer, pp 119\u2013146","DOI":"10.1007\/978-3-030-43408-3_5"},{"key":"548_CR20","unstructured":"Carri\u00e8re M, Cuturi M, Oudot S (2017) Sliced wasserstein kernel for persistence diagrams. In: Proceedings of the 34th international conference on machine learning, vol 70. JMLR.org, ICML\u201917, pp 664\u2013673"},{"key":"548_CR21","unstructured":"Carriere M, Chazal F, Ike Y, et\u00a0al (2020) Perslay: a neural network layer for persistence diagrams and new graph topological signatures. In: Chiappa S, Calandra R (eds) Proceedings of the twenty third international conference on artificial intelligence and statistics, proceedings of machine learning research, vol 108. PMLR, pp 2786\u20132796"},{"key":"548_CR22","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1613\/jair.953","volume":"16","author":"N Chawla","year":"2002","unstructured":"Chawla N, Bowyer K, Hall L et al (2002) Smote: synthetic minority over-sampling technique. J Artif Intell Res (JAIR) 16:321\u2013357. https:\/\/doi.org\/10.1613\/jair.953","journal-title":"J Artif Intell Res (JAIR)"},{"key":"548_CR23","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.chaos.2015.05.022","volume":"77","author":"Y Chen","year":"2015","unstructured":"Chen Y (2015) The distance-decay function of geographical gravity model: Power law or exponential law? Chaos, Solitons Fractals 77:174\u2013189. https:\/\/doi.org\/10.1016\/j.chaos.2015.05.022","journal-title":"Chaos, Solitons Fractals"},{"issue":"1","key":"548_CR24","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1007\/s10444-021-09893-4","volume":"48","author":"YM Chung","year":"2022","unstructured":"Chung YM, Lawson A (2022) Persistence curves: A canonical framework for summarizing persistence diagrams. Adv Comput Math 48(1):6. https:\/\/doi.org\/10.1007\/s10444-021-09893-4","journal-title":"Adv Comput Math"},{"key":"548_CR25","unstructured":"Curry J, Mukherjee S, Turner K (2018) How many directions determine a shape and other sufficiency results for two topological transforms. arXiv: Algebraic Topology"},{"issue":"4","key":"548_CR68","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1007\/s00454-011-9344-x","volume":"45","author":"V de Silva","year":"2011","unstructured":"de Silva V, Morozov D, Vejdemo-Johansson M (2011) Persistent cohomology and circular coordinates. Discrete Comput Geom 45(4):737\u2013759","journal-title":"Discrete Comput Geom"},{"key":"548_CR69","doi-asserted-by":"publisher","unstructured":"de Silva V, Carlsson G (2004) Topological estimation using witness complexes. In: Gross M, Pfister H, Alexa M, et\u00a0al (eds) SPBG\u201904 symposium on point-based graphics 2004. The Eurographics Association. https:\/\/doi.org\/10.2312\/SPBG\/SPBG04\/157-166","DOI":"10.2312\/SPBG\/SPBG04\/157-166"},{"key":"548_CR26","doi-asserted-by":"crossref","unstructured":"Dey TK, Fan F, Wang Y (2014) Computing topological persistence for simplicial maps. SOCG\u201914, Association for Computing Machinery, New York","DOI":"10.1145\/2582112.2582165"},{"key":"548_CR27","doi-asserted-by":"publisher","unstructured":"Deza MM, Deza E (2013) Generalizations of metric spaces. Springer, Berlin, Heidelberg, pp 67\u201378. https:\/\/doi.org\/10.1007\/978-3-642-30958-8_3","DOI":"10.1007\/978-3-642-30958-8_3"},{"key":"548_CR28","first-page":"1","volume-title":"Multiple classifier systems","author":"TG Dietterich","year":"2000","unstructured":"Dietterich TG (2000) Ensemble methods in machine learning. Multiple classifier systems. Springer, Berlin, Heidelberg, pp 1\u201315"},{"issue":"10","key":"548_CR29","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1109\/TSMC.1979.4310090","volume":"9","author":"JK Dixon","year":"1979","unstructured":"Dixon JK (1979) Pattern recognition with partly missing data. IEEE Trans Syst Man Cybern 9(10):617\u2013621. https:\/\/doi.org\/10.1109\/TSMC.1979.4310090","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"548_CR30","unstructured":"Dua D, Graff C (2017) UCI machine learning repository. http:\/\/archive.ics.uci.edu\/ml"},{"key":"548_CR32","doi-asserted-by":"publisher","unstructured":"Edelsbrunner H, Harer J (2010) Computational Topology\u2014an Introduction. American Mathematical Society, Michigan. https:\/\/doi.org\/10.1007\/978-3-540-33259-6_7","DOI":"10.1007\/978-3-540-33259-6_7"},{"issue":"4","key":"548_CR31","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1007\/s00454-002-2885-2","volume":"28","author":"Edelsbrunner","year":"2002","unstructured":"Edelsbrunner, Letscher, Zomorodian (2002) Topological persistence and simplification. Discrete Comput Geom 28(4):511\u2013533. https:\/\/doi.org\/10.1007\/s00454-002-2885-2","journal-title":"Discrete Comput Geom"},{"key":"548_CR33","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/978-3-319-98074-4_2","volume-title":"Foundations on imbalanced classification","author":"A Fern\u00e1ndez","year":"2018","unstructured":"Fern\u00e1ndez A, Garc\u00eda S, Galar M et al (2018) Foundations on imbalanced classification. Springer, Cham, pp 19\u201346. https:\/\/doi.org\/10.1007\/978-3-319-98074-4_2"},{"issue":"7","key":"548_CR34","doi-asserted-by":"publisher","first-page":"873","DOI":"10.1109\/TKDE.2007.1037","volume":"19","author":"D Francois","year":"2007","unstructured":"Francois D, Wertz V, Verleysen M (2007) The concentration of fractional distances. IEEE Trans on Knowl and Data Eng 19(7):873\u2013886. https:\/\/doi.org\/10.1109\/TKDE.2007.1037","journal-title":"IEEE Trans on Knowl and Data Eng"},{"issue":"2","key":"548_CR35","first-page":"189","volume":"51","author":"PR Freeman","year":"1983","unstructured":"Freeman PR (1983) The secretary problem and its extensions: a review. Int Stat Rev Revue Internationale de Statistique 51(2):189\u2013206","journal-title":"Int Stat Rev Revue Internationale de Statistique"},{"key":"548_CR36","unstructured":"Gabrielsson RB, Nelson BJ, Dwaraknath A, et\u00a0al (2020) A topology layer for machine learning. In: PMLR, pp 1553\u20131563"},{"issue":"5","key":"548_CR37","doi-asserted-by":"publisher","first-page":"e0217,413","DOI":"10.1371\/journal.pone.0217413","volume":"14","author":"K Garside","year":"2019","unstructured":"Garside K, Henderson R, Makarenko I et al (2019) Topological data analysis of high resolution diabetic retinopathy images. PLoS ONE 14(5):e0217,413-e0217,413. https:\/\/doi.org\/10.1371\/journal.pone.0217413","journal-title":"PLoS ONE"},{"key":"548_CR38","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1090\/S0273-0979-07-01191-3","volume":"45","author":"R Ghrist","year":"2008","unstructured":"Ghrist R (2008) Barcodes: the persistent topology of data. Bull (New Series) Am Math Soc 45:61\u201375","journal-title":"Bull (New Series) Am Math Soc"},{"key":"548_CR39","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/978-981-16-1089-9_4","volume-title":"Communication and intelligent systems","author":"A Goyal","year":"2021","unstructured":"Goyal A, Rathore L, Kumar S (2021) A survey on solution of imbalanced data classification problem using smote and extreme learning machine. In: Sharma H, Gupta MK, Tomar GS et al (eds) Communication and intelligent systems. Springer, Singapore, pp 31\u201344"},{"issue":"7825","key":"548_CR40","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1038\/s41586-020-2649-2","volume":"585","author":"CR Harris","year":"2020","unstructured":"Harris CR, Millman KJ, van der Walt SJ et al (2020) Array programming with NumPy. Nature 585(7825):357\u2013362. https:\/\/doi.org\/10.1038\/s41586-020-2649-2","journal-title":"Nature"},{"key":"548_CR41","volume-title":"Algebraic Topology","author":"A Hatcher","year":"2002","unstructured":"Hatcher A (2002) Algebraic Topology. Cambridge University Press, Cambridge"},{"key":"548_CR42","doi-asserted-by":"publisher","first-page":"123","DOI":"10.3389\/frai.2021.681108","volume":"4","author":"F Hensel","year":"2021","unstructured":"Hensel F, Moor M, Rieck B (2021) A survey of topological machine learning methods. Front Artif Intell 4:123. https:\/\/doi.org\/10.3389\/frai.2021.681108","journal-title":"Front Artif Intell"},{"key":"548_CR43","unstructured":"Hofer C, Kwitt R, Niethammer M, et\u00a0al (2017) Deep learning with topological signatures. In: Proceedings of the 31st international conference on neural information processing systems. Curran Associates Inc., Red Hook, NIPS\u201917, pp 1633\u20131643"},{"issue":"3","key":"548_CR44","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1109\/MCSE.2007.55","volume":"9","author":"JD Hunter","year":"2007","unstructured":"Hunter JD (2007) Matplotlib: a 2d graphics environment. Comput Sci Eng 9(3):90\u201395. https:\/\/doi.org\/10.1109\/MCSE.2007.55","journal-title":"Comput Sci Eng"},{"key":"548_CR45","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1878\/1\/012054","volume":"1","author":"H Ibrahim","year":"1878","unstructured":"Ibrahim H, Anwar SA (1878) Classification of imbalanced data using support vector machine and rough set theory: a review. J Phys Conf Ser 1:012054. https:\/\/doi.org\/10.1088\/1742-6596\/1878\/1\/012054","journal-title":"J Phys Conf Ser"},{"key":"548_CR46","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921803","volume-title":"Evaluating learning algorithms: a classification perspective","author":"N Japkowicz","year":"2011","unstructured":"Japkowicz N, Shah M (2011) Evaluating learning algorithms: a classification perspective. Cambridge University Press, New York"},{"key":"548_CR47","doi-asserted-by":"publisher","unstructured":"Ji Z, Wang CL (2022) Efficient exact k-nearest neighbor graph construction for billion-scale datasets using gpus with tensor cores. In: Proceedings of the 36th ACM international conference on supercomputing. Association for Computing Machinery, New York, ICS \u201922. https:\/\/doi.org\/10.1145\/3524059.3532368","DOI":"10.1145\/3524059.3532368"},{"key":"548_CR48","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.patcog.2017.03.025","volume":"69","author":"G Jiang","year":"2017","unstructured":"Jiang G, Wang W (2017) Error estimation based on variance analysis of k-fold cross-validation. Pattern Recogn 69:94\u2013106","journal-title":"Pattern Recogn"},{"key":"548_CR49","unstructured":"Kindelan R, Fr\u00edas J, Cerda M, et\u00a0al (2021) Classification based on topological data analysis. 2102.03709"},{"key":"548_CR50","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1007\/3-540-62858-4_79","volume-title":"Machine learning: ECML-97","author":"M Kubat","year":"1997","unstructured":"Kubat M, Holte R, Matwin S (1997) Learning when negative examples abound. In: van Someren M, Widmer G (eds) Machine learning: ECML-97. Springer, Berlin, Heidelberg, pp 146\u2013153"},{"key":"548_CR51","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1109\/3468.618255","volume":"27","author":"L Lam","year":"1997","unstructured":"Lam L, Suen CY (1997) Application of majority voting to pattern recognition: an analysis of its behavior and performance. IEEE Trans Syst Man Cybern Part A 27:553\u2013568","journal-title":"IEEE Trans Syst Man Cybern Part A"},{"issue":"4","key":"548_CR52","doi-asserted-by":"publisher","first-page":"729","DOI":"10.3934\/fods.2021024","volume":"3","author":"H Luo","year":"2021","unstructured":"Luo H, Patania A, Kim J et al (2021) Generalized penalty for circular coordinate representation. Found Data Sci 3(4):729\u2013767","journal-title":"Found Data Sci"},{"issue":"113","key":"548_CR53","doi-asserted-by":"publisher","first-page":"868","DOI":"10.1016\/j.eswa.2020.113868","volume":"162","author":"S Majumdar","year":"2020","unstructured":"Majumdar S, Laha AK (2020) Clustering and classification of time series using topological data analysis with applications to finance. Expert Syst Appl 162(113):868. https:\/\/doi.org\/10.1016\/j.eswa.2020.113868","journal-title":"Expert Syst Appl"},{"key":"548_CR54","volume-title":"Mathematical software-ICMS 2014","author":"C Maria","year":"2014","unstructured":"Maria C, Boissonnat J, Glisse M et al (2014) The gudhi library: simplicial complexes and persistent homology. In: Hong H, Yap C (eds) Mathematical software-ICMS 2014. Springer, Berlin, Heidelberg"},{"key":"548_CR55","unstructured":"McInnes L, Healy J, Melville J (2020) Umap: uniform manifold approximation and projection for dimension reduction. 1802.03426"},{"key":"548_CR56","volume-title":"Machine learning, international edition","author":"TM Mitchell","year":"1997","unstructured":"Mitchell TM (1997) Machine learning, international edition. McGraw-Hill Series in Computer Science, McGraw-Hill"},{"key":"548_CR57","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511814075","volume-title":"Randomized algorithms","author":"R Motwani","year":"1995","unstructured":"Motwani R, Raghavan P (1995) Randomized algorithms. Cambridge University Press, Cambridge. https:\/\/doi.org\/10.1017\/CBO9780511814075"},{"key":"548_CR58","doi-asserted-by":"crossref","unstructured":"Navarro G (2002) Searching in metric spaces by spatial approximation. VLDB J","DOI":"10.1007\/s007780200060"},{"key":"548_CR59","unstructured":"Pedregosa F, et\u00a0al (2012) Scikit-learn: machine learning in python. J Mach Learn Res 12"},{"key":"548_CR60","unstructured":"P\u00e9rez JB, Hauke S, Lupo U, et\u00a0al (2021) giotto-ph: a python library for high-performance computation of persistent homology of vietoris\u2013rips filtrations. 2107.05412"},{"key":"548_CR61","doi-asserted-by":"publisher","DOI":"10.1017\/9781316671665","volume-title":"Topological data analysis for genomics and evolution: topology in biology","author":"R Rabadan","year":"2019","unstructured":"Rabadan R, Blumberg AJ (2019) Topological data analysis for genomics and evolution: topology in biology. Cambridge University Press, Cambridge. https:\/\/doi.org\/10.1017\/9781316671665"},{"issue":"2","key":"548_CR62","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/s11401-021-0255-8","volume":"42","author":"S Ren","year":"2021","unstructured":"Ren S, Wu C, Wu J (2021) Computational tools in weighted persistent homology. Chin Ann Math Ser B 42(2):237\u2013258. https:\/\/doi.org\/10.1007\/s11401-021-0255-8","journal-title":"Chin Ann Math Ser B"},{"key":"548_CR63","unstructured":"Rouvreau V (2022) Cython interface. In: GUDHI user and reference manual, 3.6.0 edn. GUDHI Editorial Board. https:\/\/gudhi.inria.fr\/python\/3.6.0\/"},{"key":"548_CR64","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/978-3-030-87444-5_12","volume-title":"Interpretability of machine intelligence in medical image computing, and topological data analysis and its applications for medical data","author":"A Saadat-Yazdi","year":"2021","unstructured":"Saadat-Yazdi A, Andreeva R, Sarkar R (2021) Topological detection of Alzheimer\u2019s disease using Betti curves. In: Reyes M, Henriques Abreu P, Cardoso J et al (eds) Interpretability of machine intelligence in medical image computing, and topological data analysis and its applications for medical data. Springer, Cham, pp 119\u2013128"},{"key":"548_CR65","volume-title":"Foundations of multidimensional and metric data structures","author":"H Samet","year":"2006","unstructured":"Samet H (2006) Foundations of multidimensional and metric data structures. Morgan Kaufman, San Francisco"},{"key":"548_CR66","doi-asserted-by":"publisher","unstructured":"Seversky LM, Davis S, Berger M (2016) On time-series topological data analysis: new data and opportunities. In: CVPRW, pp 1014\u20131022. https:\/\/doi.org\/10.1109\/CVPRW.2016.131","DOI":"10.1109\/CVPRW.2016.131"},{"key":"548_CR67","doi-asserted-by":"publisher","unstructured":"Shepard D (1968) A two-dimensional interpolation function for irregularly-spaced data. In: Proceedings of the 1968 23rd ACM national conference. Association for Computing Machinery, New York, ACM \u201968, pp 517\u2013524. https:\/\/doi.org\/10.1145\/800186.810616","DOI":"10.1145\/800186.810616"},{"key":"548_CR70","unstructured":"The HDF Group (1997\u20132022) Hierarchical data format, version 5. https:\/\/www.hdfgroup.org\/HDF5\/"},{"key":"548_CR71","doi-asserted-by":"publisher","unstructured":"Umeda Y (2017) Time series classification via topological data analysis. Trans Jpn Soc Artif Intell 32:D\u2013G72_1. https:\/\/doi.org\/10.1527\/tjsai.D-G72","DOI":"10.1527\/tjsai.D-G72"},{"key":"548_CR72","doi-asserted-by":"publisher","unstructured":"Venkataraman V, Ramamurthy K, Turaga P (2016) Persistent homology of attractors for action recognition. In: 2016 IEEE international conference on image processing, ICIP 2016-proceedings. IEEE Computer Society, pp 4150\u20134154. https:\/\/doi.org\/10.1109\/ICIP.2016.7533141","DOI":"10.1109\/ICIP.2016.7533141"},{"key":"548_CR73","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.ins.2019.08.062","volume":"509","author":"P Vuttipittayamongkol","year":"2020","unstructured":"Vuttipittayamongkol P, Elyan E (2020) Neighbourhood-based undersampling approach for handling imbalanced and overlapped data. Inf Sci 509:47\u201370. https:\/\/doi.org\/10.1016\/j.ins.2019.08.062","journal-title":"Inf Sci"},{"key":"548_CR74","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.cviu.2014.01.005","volume":"121","author":"H Wagner","year":"2014","unstructured":"Wagner H, D\u0142otko P (2014) Towards topological analysis of high-dimensional feature spaces. Comput Vis Image Underst 121:21\u201326. https:\/\/doi.org\/10.1016\/j.cviu.2014.01.005","journal-title":"Comput Vis Image Underst"},{"issue":"1","key":"548_CR75","first-page":"1","volume":"6","author":"DR Wilson","year":"1997","unstructured":"Wilson DR, Martinez TR (1997) Improved heterogeneous distance functions. J Artif Int Res 6(1):1\u201334","journal-title":"J Artif Int Res"},{"key":"548_CR76","doi-asserted-by":"publisher","unstructured":"Yershov DS, LaValle SM (2011) Simplicial dijkstra and a* algorithms for optimal feedback planning. In: 2011 IEEE\/RSJ international conference on intelligent robots and systems, pp 3862\u20133867. https:\/\/doi.org\/10.1109\/IROS.2011.6095032","DOI":"10.1109\/IROS.2011.6095032"},{"key":"548_CR77","unstructured":"Zhang S, Xiao M, Wang H (2020) Gpu-accelerated computation of vietoris-rips persistence barcodes. arXiv:2003.07989"},{"key":"548_CR78","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.patcog.2016.08.023","volume":"62","author":"X Zhang","year":"2017","unstructured":"Zhang X, Li Y, Kotagiri R et al (2017) Krnn: k rare-class nearest neighbour classification. Pattern Recognit 62:33\u201344. https:\/\/doi.org\/10.1016\/j.patcog.2016.08.023","journal-title":"Pattern Recognit"}],"container-title":["Advances in Data Analysis and Classification"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11634-023-00548-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11634-023-00548-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11634-023-00548-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T08:21:05Z","timestamp":1718785265000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11634-023-00548-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,1]]},"references-count":78,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["548"],"URL":"https:\/\/doi.org\/10.1007\/s11634-023-00548-4","relation":{},"ISSN":["1862-5347","1862-5355"],"issn-type":[{"value":"1862-5347","type":"print"},{"value":"1862-5355","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,1]]},"assertion":[{"value":"4 February 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 July 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors are unaware of any affiliations, memberships, funding, or financial holdings that might be perceived as affecting the objectivity of this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}