{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T04:52:06Z","timestamp":1773377526890,"version":"3.50.1"},"reference-count":31,"publisher":"IEEE","license":[{"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\/isit.2019.8849316","type":"proceedings-article","created":{"date-parts":[[2019,9,26]],"date-time":"2019-09-26T21:46:12Z","timestamp":1569534372000},"page":"842-846","source":"Crossref","is-referenced-by-count":10,"title":["Asymptotics of MAP Inference in Deep Networks"],"prefix":"10.1109","author":[{"given":"Parthe","family":"Pandit","sequence":"first","affiliation":[{"name":"Dept. Statistics and ECE, UCLA, Los Angeles, CA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mojtaba","family":"Sahraee","sequence":"additional","affiliation":[{"name":"Dept. Statistics and ECE, UCLA, Los Angeles, CA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sundeep","family":"Rangan","sequence":"additional","affiliation":[{"name":"Dept. ECE, NYU, Brooklyn, NY"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alyson K.","family":"Fletcher","sequence":"additional","affiliation":[{"name":"Dept. Statistics and ECE, UCLA, Los Angeles, CA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref31","article-title":"Adam: A method for stochastic optimization","author":"kingma","year":"2014","journal-title":"arXiv preprint arXiv 1412 6980"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2094817"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2017.2708040"},{"key":"ref11","article-title":"Global guarantees for enforcing deep generative priors by empirical risk","author":"hand","year":"2017","journal-title":"arXiv preprint arXiv 1705 07576"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2018.8462233"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0909892106"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006899"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437792"},{"key":"ref16","article-title":"Entropy and mutual information in models of deep neural networks","author":"gabri\u00e9","year":"2018","journal-title":"Proc NIPS"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2017.8262855"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006797"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2017.2653119"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2019.8849316"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-statistics-010814-020120"},{"key":"ref27","article-title":"Approximate message-passing for convex optimization with non-separable penalties","author":"manoel","year":"2018","journal-title":"arXiv preprint arXiv 1809 06304"},{"key":"ref3","article-title":"Unsupervised representation learning with deep convolutional generative adversarial networks","author":"radford","year":"2015","journal-title":"arXiv preprint arXiv 1511 06434"},{"key":"ref6","article-title":"Compressed sensing using generative models","author":"bora","year":"2017","journal-title":"Proc ICML"},{"key":"ref29","article-title":"Inference in deep networks in high dimensions","author":"fletcher","year":"2017","journal-title":"arXiv preprint arXiv 1706 06549"},{"key":"ref5","article-title":"Semantic image inpainting with perceptual and contextual losses","author":"yeh","year":"2016","journal-title":"arXiv 1607 07539"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2015.7447163"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2017.627"},{"key":"ref2","article-title":"Auto-encoding variational bayes","author":"kingma","year":"2013","journal-title":"arXiv 1312 6114"},{"key":"ref9","first-page":"1772","article-title":"Learned D-amp: Principled neural network based compressive image recovery","author":"metzler","year":"2017","journal-title":"Proc NIPS"},{"key":"ref1","first-page":"1278","article-title":"Stochastic backpropagation and approximate inference in deep generative models","author":"rezende","year":"2014","journal-title":"Proc ICML"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006578"},{"key":"ref22","first-page":"2177","article-title":"Expectation consistent approximate inference","volume":"6","author":"opper","year":"2005","journal-title":"Journal of Machine Learning Research"},{"key":"ref21","first-page":"362","article-title":"Expectation propagation for approximate bayesian inference","author":"minka","year":"2001","journal-title":"Proc Uncertainty in Artificial Intelligence"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2014.6970819"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2619373"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2619365"}],"event":{"name":"2019 IEEE International Symposium on Information Theory (ISIT)","location":"Paris, France","start":{"date-parts":[[2019,7,7]]},"end":{"date-parts":[[2019,7,12]]}},"container-title":["2019 IEEE International Symposium on Information Theory (ISIT)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8827389\/8849208\/08849316.pdf?arnumber=8849316","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T20:34:15Z","timestamp":1773347655000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8849316\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7]]},"references-count":31,"URL":"https:\/\/doi.org\/10.1109\/isit.2019.8849316","relation":{},"subject":[],"published":{"date-parts":[[2019,7]]}}}