{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T00:42:58Z","timestamp":1759365778799,"version":"build-2065373602"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032057914","type":"print"},{"value":"9783032057921","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T00:00:00Z","timestamp":1759363200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T00:00:00Z","timestamp":1759363200000},"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":[[2026]]},"DOI":"10.1007\/978-3-032-05792-1_22","type":"book-chapter","created":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T10:31:45Z","timestamp":1759314705000},"page":"409-428","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Statistical Bayesian Inference for\u00a0Stochastic Process Discovery"],"prefix":"10.1007","author":[{"given":"Pierre","family":"Cry","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paolo","family":"Ballarini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e1s","family":"Horv\u00e1th","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pascale Le","family":"Gall","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,10,2]]},"reference":[{"key":"22_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.is.2021.101922","volume":"107","author":"H Alkhammash","year":"2022","unstructured":"Alkhammash, H., Polyvyanyy, A., Moffat, A., Garc\u00eda-Ba\u00f1uelos, L.: Entropic relevance: a mechanism for measuring stochastic process models discovered from event data. Inf. Syst. 107, 101922 (2022)","journal-title":"Inf. Syst."},{"issue":"2","key":"22_CR2","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/s10115-018-1214-x","volume":"59","author":"A Augusto","year":"2019","unstructured":"Augusto, A., Conforti, R., Dumas, M., Rosa, M., Polyvyanyy, A.: Split miner: automated discovery of accurate and simple business process models from event logs. Knowl. Inf. Syst. 59(2), 251\u2013284 (2019)","journal-title":"Knowl. Inf. Syst."},{"key":"22_CR3","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.peva.2015.04.003","volume":"90","author":"P Ballarini","year":"2015","unstructured":"Ballarini, P., Barbot, B., Duflot, M., Haddad, S., Pekergin, N.: HASL: a new approach for performance evaluation and model checking from concepts to experimentation. Perform. Eval. 90, 53\u201377 (2015)","journal-title":"Perform. Eval."},{"key":"22_CR4","series-title":"LNCS","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-031-42697-1_1","volume-title":"CMSB 2023","author":"P Ballarini","year":"2023","unstructured":"Ballarini, P., Bentriou, M., Courn\u00e8de, P.H.: A formal approach for tuning stochastic oscillators. In: Pang, J., Niehren, J. (eds.) CMSB 2023. LNCS, vol. 14137, pp. 1\u201317. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-42697-1_1"},{"issue":"4","key":"22_CR5","doi-asserted-by":"publisher","first-page":"983","DOI":"10.1093\/biomet\/asp052","volume":"96","author":"MA Beaumont","year":"2009","unstructured":"Beaumont, M.A., Cornuet, J.-M., Marin, J.-M., Robert, C.P.: Adaptive approximate Bayesian computation. Biometrika 96(4), 983\u2013990 (2009)","journal-title":"Biometrika"},{"key":"22_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/978-3-030-31304-3_11","volume-title":"Computational Methods in Systems Biology","author":"M Bentriou","year":"2019","unstructured":"Bentriou, M., Ballarini, P., Courn\u00e8de, P.-H.: Reachability design through approximate Bayesian computation. In: Bortolussi, L., Sanguinetti, G. (eds.) CMSB 2019. LNCS, vol. 11773, pp. 207\u2013223. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-31304-3_11"},{"key":"22_CR7","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/j.tcs.2021.09.039","volume":"893","author":"M Bentriou","year":"2021","unstructured":"Bentriou, M., Ballarini, P., Courn\u00e8de, P.-H.: Automaton-ABC: a statistical method to estimate the probability of spatio-temporal properties for parametric Markov population models. Theor. Comput. Sci. 893, 191\u2013219 (2021)","journal-title":"Theor. Comput. Sci."},{"key":"22_CR8","doi-asserted-by":"crossref","unstructured":"Brockhoff, T., Uysal, M.S., Van Der\u00a0Aalst, W.M.P.: Wasserstein weight estimation for stochastic petri nets. In: 2024 6th International Conference on Process Mining (ICPM), pp. 81\u201388 (2024)","DOI":"10.1109\/ICPM63005.2024.10680664"},{"key":"22_CR9","series-title":"Lecture Notes in Business Information Processing","doi-asserted-by":"publisher","first-page":"260","DOI":"10.1007\/978-3-030-72693-5_20","volume-title":"Process Mining Workshops","author":"A Burke","year":"2021","unstructured":"Burke, A., Leemans, S.J.J., Wynn, M.T.: Stochastic process discovery by weight estimation. In: Leemans, S., Leopold, H. (eds.) ICPM 2020. LNBIP, vol. 406, pp. 260\u2013272. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-72693-5_20"},{"key":"22_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1007\/978-3-030-76983-3_16","volume-title":"Application and Theory of Petri Nets and Concurrency","author":"A Burke","year":"2021","unstructured":"Burke, A., Leemans, S.J.J., Wynn, M.T.: Discovering stochastic process models by reduction and abstraction. In: Buchs, D., Carmona, J. (eds.) PETRI NETS 2021. LNCS, vol. 12734, pp. 312\u2013336. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-76983-3_16"},{"key":"22_CR11","series-title":"LNCS","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/978-3-031-68416-6_3","volume-title":"QEST+FORMATS 2024","author":"P Cry","year":"2024","unstructured":"Cry, P., Horv\u00e1th, A., Ballarini, P., Gall, P.: A framework for optimisation based stochastic process discovery. In: Hillston, J., Soudjani, S., Waga, M. (eds.) QEST+FORMATS 2024. LNCS, vol. 14996, pp. 34\u201351. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-68416-6_3"},{"key":"22_CR12","doi-asserted-by":"crossref","unstructured":"Filippi, S., Barnes, C., Cornebise, J., Stumpf, M.P.H.: On optimality of kernels for approximate Bayesian computation using sequential Monte Carlo (2012)","DOI":"10.1515\/sagmb-2012-0069"},{"key":"22_CR13","unstructured":"Horv\u00e1th, A., Ballarini, P., Cry, P.: Probabilistic process discovery with stochastic process trees. ValueTools 2024, preprint available at arXiv"},{"key":"22_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/978-3-642-38697-8_17","volume-title":"Application and Theory of Petri Nets and Concurrency","author":"SJJ Leemans","year":"2013","unstructured":"Leemans, S.J.J., Fahland, D., Aalst, W.M.P.: Discovering block-structured process models from event logs - a constructive approach. In: Colom, J.-M., Desel, J. (eds.) PETRI NETS 2013. LNCS, vol. 7927, pp. 311\u2013329. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38697-8_17"},{"key":"22_CR15","series-title":"LNCS","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-61057-8_3","volume-title":"CAiSE 2024","author":"SJJ Leemans","year":"2024","unstructured":"Leemans, S.J.J., Li, T., Montali, M., Polyvyanyy, A.: Stochastic process discovery: can it be done optimally? In: Guizzardi, G., Santoro, F., Mouratidis, H., Soffer, P. (eds.) CAiSE 2024. LNCS, vol. 14663. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-61057-8_3"},{"key":"22_CR16","series-title":"Lecture Notes in Business Information Processing","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/978-3-030-26643-1_8","volume-title":"Business Process Management Forum","author":"SJJ Leemans","year":"2019","unstructured":"Leemans, S.J.J., Syring, A.F., Aalst, W.M.P.: Earth movers\u2019 stochastic conformance checking. In: Hildebrandt, T., van Dongen, B.F., R\u00f6glinger, M., Mendling, J. (eds.) BPM 2019. LNBIP, vol. 360, pp. 127\u2013143. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-26643-1_8"},{"key":"22_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.is.2021.101724","volume":"102","author":"SJJ Leemans","year":"2021","unstructured":"Leemans, S.J.J., Aalst, W.M.P., Brockhoff, T., Polyvyanyy, A.: Stochastic process mining: earth movers\u2019 stochastic conformance. Inf. Syst. 102, 101724 (2021)","journal-title":"Inf. Syst."},{"key":"22_CR18","unstructured":"Lit, B.W.: SLPN-Miner: mining stochastic labelled petri nets from event logs (2023). https:\/\/github.com\/brucelit\/slpn-miner"},{"issue":"6","key":"22_CR19","doi-asserted-by":"publisher","first-page":"1167","DOI":"10.1007\/s11222-011-9288-2","volume":"22","author":"J-M Marin","year":"2012","unstructured":"Marin, J.-M., Pudlo, P., Robert, C.P., Ryder, R.J.: Approximate Bayesian computational methods. Stat. Comput. 22(6), 1167\u20131180 (2012)","journal-title":"Stat. Comput."},{"issue":"2","key":"22_CR20","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1145\/288197.581193","volume":"26","author":"M Ajmone Marsan","year":"1998","unstructured":"Ajmone Marsan, M., Balbo, G., Conte, G., Donatelli, S., Franceschinis, G.: Modelling with generalized stochastic Petri nets. SIGMETRICS Perform. Eval. Rev. 26(2), 2 (1998)","journal-title":"SIGMETRICS Perform. Eval. Rev."},{"key":"22_CR21","series-title":"Lecture Notes in Business Information Processing","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/978-3-319-06257-0_2","volume-title":"Business Process Management Workshops","author":"A Rogge-Solti","year":"2014","unstructured":"Rogge-Solti, A., Aalst, W.M.P., Weske, M.: Discovering stochastic Petri nets with arbitrary delay distributions from event logs. In: Lohmann, N., Song, M., Wohed, P. (eds.) BPM 2013. LNBIP, vol. 171, pp. 15\u201327. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-06257-0_2"},{"key":"22_CR22","unstructured":"R\u00fctschlin, T.: Wasserstein-spn-weight-estimation (2021). https:\/\/github.com\/tbr-git\/wasserstein-spn-weight-estimation"},{"key":"22_CR23","doi-asserted-by":"crossref","unstructured":"Sisson, S.A., Fan, Y., Beaumont, M.: Handbook of approximate Bayesian computation. Chapman and Hall\/CRC (2018)","DOI":"10.1201\/9781315117195"},{"issue":"9","key":"22_CR24","doi-asserted-by":"publisher","first-page":"1128","DOI":"10.1109\/TKDE.2004.47","volume":"16","author":"W van der Aalst","year":"2004","unstructured":"van der Aalst, W., Weijters, T., Maruster, L.: Workflow mining: discovering process models from event logs. IEEE Trans. Knowl. Data Eng. 16(9), 1128\u20131142 (2004)","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"22_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-49851-4","volume-title":"Process Mining: Data Science in Action","author":"W Aalst","year":"2016","unstructured":"Aalst, W.: Process Mining: Data Science in Action, 2nd edn. Springer, Cham (2016)","edition":"2"},{"issue":"2","key":"22_CR26","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1002\/widm.1045","volume":"2","author":"W Aalst","year":"2012","unstructured":"Aalst, W., Adriansyah, A., Dongen, B.: Replaying history on process models for conformance checking and performance analysis. WIREs Data Min. Knowl. Discov. 2(2), 182\u2013192 (2012)","journal-title":"WIREs Data Min. Knowl. Discov."},{"key":"22_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1007\/978-3-540-68746-7_24","volume-title":"Applications and Theory of Petri Nets","author":"JMEM Werf","year":"2008","unstructured":"Werf, J.M.E.M., Dongen, B.F., Hurkens, C.A.J., Serebrenik, A.: Process discovery using integer linear programming. In: van Hee, K.M., Valk, R. (eds.) PETRI NETS 2008. LNCS, vol. 5062, pp. 368\u2013387. Springer, Heidelberg (2008). https:\/\/doi.org\/10.1007\/978-3-540-68746-7_24"},{"key":"22_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"444","DOI":"10.1007\/11494744_25","volume-title":"Applications and Theory of Petri Nets 2005","author":"BF Dongen","year":"2005","unstructured":"Dongen, B.F., Medeiros, A.K.A., Verbeek, H.M.W., Weijters, A.J.M.M., Aalst, W.M.P.: The ProM framework: a new era in process mining tool support. In: Ciardo, G., Darondeau, P. (eds.) ICATPN 2005. LNCS, vol. 3536, pp. 444\u2013454. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/11494744_25"},{"key":"22_CR29","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/j.dss.2017.04.005","volume":"100","author":"SKLM Broucke","year":"2017","unstructured":"Broucke, S.K.L.M., Weerdt, J.: Fodina: a robust and flexible heuristic process discovery technique. Decis. Support Syst. 100, 109\u2013118 (2017). Smart Business Process Management","journal-title":"Decis. Support Syst."},{"key":"22_CR30","unstructured":"Weijters, A.J.M.M., van der Aalst, W.M.P., Alves de Medeiros, A.K.: Process Mining with the Heuristics Miner-algorithm. BETA Working Paper Series, WP 166, Eindhoven University of Technology, Eindhoven (2006)"}],"container-title":["Lecture Notes in Computer Science","Quantitative Evaluation of Systems and Formal Modeling and Analysis of Timed Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-05792-1_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T10:31:48Z","timestamp":1759314708000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-05792-1_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,2]]},"ISBN":["9783032057914","9783032057921"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-05792-1_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,2]]},"assertion":[{"value":"2 October 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"QEST+FORMATS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Quantitative Evaluation of Systems and Formal Modeling and Analysis of Timed Systems","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Aarhus","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Denmark","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":"26 August 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 August 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"qest2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.qest-formats.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}