{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T11:28:00Z","timestamp":1768822080285,"version":"3.49.0"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"name":"National Science Foundation CAREER","award":["DMS-2143754"],"award-info":[{"award-number":["DMS-2143754"]}]},{"name":"Deep Learning ONR MURI"},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1855684"],"award-info":[{"award-number":["DMS-1855684"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS2133806"],"award-info":[{"award-number":["DMS2133806"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-SC0007968"],"award-info":[{"award-number":["DE-SC0007968"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Journal on Mathematics of Data Science"],"published-print":{"date-parts":[[2025,3,31]]},"DOI":"10.1137\/23m1600621","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T09:00:31Z","timestamp":1735894831000},"page":"1-27","source":"Crossref","is-referenced-by-count":1,"title":["Principles for Initialization and Architecture Selection in Graph Neural Networks with ReLU Activations"],"prefix":"10.1137","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5890-0445","authenticated-orcid":true,"given":"Gage","family":"DeZoort","sequence":"first","affiliation":[{"name":"Department of Physics, Princeton University, Princeton, NJ 08540 USA."}]},{"given":"Boris","family":"Hanin","sequence":"additional","affiliation":[{"name":"Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ 08540 USA."}]}],"member":"351","published-online":{"date-parts":[[2025,1,3]]},"reference":[{"key":"ref1","first-page":"1275","volume":"21","author":"Bai Z.-D.","year":"1993","journal-title":"Ann. Probab."},{"key":"ref2","doi-asserted-by":"crossref","first-page":"2479","DOI":"10.1214\/15-AOP1025","volume":"44","author":"Bandeira A. S.","year":"2016","journal-title":"Ann. Probab."},{"key":"ref4","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1109\/72.279181","volume":"5","author":"Bengio Y.","year":"1994","journal-title":"IEEE Trans. Neural Netw."},{"key":"ref13","first-page":"249","volume":"9","author":"Glorot X.","year":"2010","journal-title":"J. Mach. Learn. Res. Proc. Track"},{"key":"ref16","first-page":"580","volume-title":"Proceedings of the 32nd International Conference on Neural Information Processing Systems","author":"Hanin B.","year":"2018"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/s00220-019-03624-z","volume":"376","author":"Hanin B.","year":"2020","journal-title":"Comm. Math. Phys."},{"key":"ref19","first-page":"571","volume-title":"Advances in Neural Information Processing Systems","author":"Hanin B.","year":"2018"},{"key":"ref22","first-page":"7561","volume-title":"Advances in Neural Information Processing Systems","volume":"35","author":"Jaiswall A.","year":"2022"},{"key":"ref25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-35289-8_3","volume-title":"Efficient BackProp","author":"LeCun Y. A.","year":"2012"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"6923","DOI":"10.1109\/TPAMI.2021.3074057","volume":"45","author":"Li G.","year":"2023","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref31","first-page":"1","author":"Lu W.","year":"2024","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"ref32","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1038\/s41467-023-36329-y","volume":"14","author":"Musaelian A.","year":"2023","journal-title":"Nat. Commun."},{"key":"ref34","first-page":"3360","volume-title":"Advances in Neural Information Processing Systems","author":"Poole B.","year":"2016"},{"key":"ref36","doi-asserted-by":"crossref","DOI":"10.1017\/9781009023405","volume-title":"The Principles of Deep Learning Theory: An Effective Theory Approach to Understanding Neural Networks","author":"Roberts D. A.","year":"2022"},{"key":"ref37","series-title":"ECMLPKDD\u201922","volume-title":"18th International Workshop on Mining and Learning with Graphs","author":"Sabanayagam M.","year":"2022"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TNNLS.2020.2978386","volume":"32","author":"Wu Z.","year":"2020","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"ref48","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.aiopen.2021.01.001","volume":"1","author":"Zhou J.","year":"2020","journal-title":"AI Open"}],"container-title":["SIAM Journal on Mathematics of Data Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T09:00:42Z","timestamp":1735894842000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1600621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,3]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,3,31]]}},"alternative-id":["10.1137\/23M1600621"],"URL":"https:\/\/doi.org\/10.1137\/23m1600621","relation":{},"ISSN":["2577-0187"],"issn-type":[{"value":"2577-0187","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,3]]}}}