{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T04:54:49Z","timestamp":1773377689283,"version":"3.50.1"},"reference-count":28,"publisher":"IEEE","license":[{"start":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T00:00:00Z","timestamp":1656201600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T00:00:00Z","timestamp":1656201600000},"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":[[2022,6,26]]},"DOI":"10.1109\/isit50566.2022.9834388","type":"proceedings-article","created":{"date-parts":[[2022,8,3]],"date-time":"2022-08-03T15:34:22Z","timestamp":1659540862000},"page":"678-683","source":"Crossref","is-referenced-by-count":1,"title":["The Directional Bias Helps Stochastic Gradient Descent to Generalize in Kernel Regression Models"],"prefix":"10.1109","author":[{"given":"Yiling","family":"Luo","sequence":"first","affiliation":[{"name":"Georgia Institute of Technology,School of Industrial and Systems Engineering"}]},{"given":"Xiaoming","family":"Huo","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology,School of Industrial and Systems Engineering"}]},{"given":"Yajun","family":"Mei","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology,School of Industrial and Systems Engineering"}]}],"member":"263","reference":[{"key":"ref10","first-page":"5152","article-title":"Exact expressions for double descent and implicit regularization via surrogate random design","author":"derezinski","year":"2020","journal-title":"Advances in neural information processing systems"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1214\/15-AOS1391"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1145\/1143844.1143892"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2016.90"},{"key":"ref14","article-title":"Neural Tangent Kernel: Convergence and Generalization in Neural Networks","author":"jacot","year":"2018"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-45167-9_22"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1214\/19-AOS1849"},{"key":"ref17","first-page":"3375","article-title":"Optimal rates for multi-pass stochastic gradient methods","volume":"18 1","author":"lin","year":"2017","journal-title":"The Journal of Machine Learning Research"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834388"},{"key":"ref19","article-title":"The Power of Interpolation: Understanding the Effectiveness of SGD in Modern Over-parametrized Learning","author":"ma","year":"2018"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-006-0663-2"},{"key":"ref4","first-page":"483","article-title":"Implicit regularization for deep neural networks driven by an Ornstein-Uhlenbeck like process","author":"blanc","year":"2020","journal-title":"Proceedings of Thirty Third Conference on Learning Theory"},{"key":"ref27","article-title":"Direction Matters: On the Implicit Bias of Stochastic Gradient Descent with Moderate Learning Rate","author":"wu","year":"2021","journal-title":"International Conference on Learning Representations"},{"key":"ref3","first-page":"541","article-title":"To understand deep learning we need to understand kernel learning","author":"belkin","year":"2018","journal-title":"International Conference on Machine Learning"},{"key":"ref6","article-title":"Towards Understanding the Spectral Bias of Deep Learning","author":"cao","year":"2020"},{"key":"ref5","first-page":"2313","article-title":"The Dantzig selector: Statistical estimation when p is much larger than n","volume":"35 6","author":"candes","year":"2007","journal-title":"The Annals of Statistics"},{"key":"ref8","first-page":"929","article-title":"Fast global alignment kernels","author":"cuturi","year":"2011","journal-title":"International Conference on Machine Learning"},{"key":"ref7","first-page":"41","volume":"1","author":"chen","year":"1994","journal-title":"Asilomar Conference on Signals Systems and Computers"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492921000027"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2007.366260"},{"key":"ref1","first-page":"233","article-title":"The implicit regularization of stochastic gradient flow for least squares","author":"ali","year":"2020","journal-title":"International Conference on Machine Learning"},{"key":"ref20","article-title":"What Kinds of Functions do Deep Neural Networks Learn?","author":"parhi","year":"2021","journal-title":"Insights from Variational Spline Theory"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/bth141"},{"key":"ref21","article-title":"Statistical optimality of stochastic gradient descent on hard learning problems through multiple passes","volume":"31","author":"pillaud-vivien","year":"2018","journal-title":"Advances in neural information processing systems"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ICTAI.2004.29"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.888330"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/BF02530507"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970128"}],"event":{"name":"2022 IEEE International Symposium on Information Theory (ISIT)","location":"Espoo, Finland","start":{"date-parts":[[2022,6,26]]},"end":{"date-parts":[[2022,7,1]]}},"container-title":["2022 IEEE International Symposium on Information Theory (ISIT)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9834325\/9834269\/09834388.pdf?arnumber=9834388","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T20:34:52Z","timestamp":1773347692000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9834388\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,26]]},"references-count":28,"URL":"https:\/\/doi.org\/10.1109\/isit50566.2022.9834388","relation":{},"subject":[],"published":{"date-parts":[[2022,6,26]]}}}