{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,30]],"date-time":"2025-06-30T11:42:51Z","timestamp":1751283771608,"version":"3.28.0"},"reference-count":31,"publisher":"IEEE","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1109\/ijcnn.2019.8852277","type":"proceedings-article","created":{"date-parts":[[2019,9,30]],"date-time":"2019-09-30T23:44:32Z","timestamp":1569887072000},"page":"1-7","source":"Crossref","is-referenced-by-count":4,"title":["Estimating Betti Numbers Using Deep Learning"],"prefix":"10.1109","author":[{"given":"Rahul","family":"Paul","sequence":"first","affiliation":[]},{"given":"Stephan","family":"Chalup","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546945"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.25213"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/1-84628-194-6"},{"key":"ref11","volume":"200","author":"dold","year":"1980","journal-title":"Lectures on Algebraic Topology"},{"journal-title":"Computational Topology An Introduction","year":"2010","author":"edelsbrunner","key":"ref12"},{"journal-title":"Computational Topology An Introduction","year":"2010","author":"edelsbrunner","key":"ref13"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2000.892133"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-07-01191-3"},{"journal-title":"Deep Learning","year":"2016","author":"goodfellow","key":"ref16"},{"journal-title":"Algebraic Topology","year":"2002","author":"hatcher","key":"ref17"},{"key":"ref18","first-page":"1634","article-title":"Deep learning with topological signatures","volume":"30","author":"hofer","year":"2017","journal-title":"Advances in neural information processing systems"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/3065386"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.21105\/joss.00925"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.msea.2018.04.103"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.4171\/048"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.4310\/HHA.2016.v18.n1.a21"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.2914"},{"key":"ref29","article-title":"Iterative deep learning for network topology extraction","author":"ventura","year":"2018","journal-title":"29th British Machine Vision Conference (BMVC 2018)"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1005690"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492914000051"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-09-01249-X"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-44199-2_23"},{"key":"ref9","article-title":"Persistent homology computation with a twist","volume":"11","author":"chen","year":"2011","journal-title":"Proceedings 27th European Workshop on Computational Geometry"},{"key":"ref1","first-page":"1","article-title":"Persistence images: a stable vector representation of persistent homology","volume":"18","author":"adams","year":"2017","journal-title":"Journal of Machine Learning Research"},{"journal-title":"Introduction to Topological Manifolds","year":"2000","author":"lee","key":"ref20"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1140\/epjds\/s13688-017-0109-5"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.3791\/54719"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0205823"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1038\/nature24270"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2004.825627"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.future.2016.06.005"}],"event":{"name":"2019 International Joint Conference on Neural Networks (IJCNN)","start":{"date-parts":[[2019,7,14]]},"location":"Budapest, Hungary","end":{"date-parts":[[2019,7,19]]}},"container-title":["2019 International Joint Conference on Neural Networks (IJCNN)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8840768\/8851681\/08852277.pdf?arnumber=8852277","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,17]],"date-time":"2022-07-17T17:49:06Z","timestamp":1658080146000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8852277\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7]]},"references-count":31,"URL":"https:\/\/doi.org\/10.1109\/ijcnn.2019.8852277","relation":{},"subject":[],"published":{"date-parts":[[2019,7]]}}}