{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T16:02:49Z","timestamp":1729612969095,"version":"3.28.0"},"reference-count":42,"publisher":"IEEE","license":[{"start":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T00:00:00Z","timestamp":1654646400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T00:00:00Z","timestamp":1654646400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,8]]},"DOI":"10.23919\/acc53348.2022.9867357","type":"proceedings-article","created":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T20:24:10Z","timestamp":1662409450000},"page":"1527-1534","source":"Crossref","is-referenced-by-count":7,"title":["Non-Euclidean Contractivity of Recurrent Neural Networks"],"prefix":"10.23919","author":[{"given":"Alexander","family":"Davydov","sequence":"first","affiliation":[{"name":"University of California,Department of Mechanical Engineering and the Center for Control, Dynamical Systems, and Computation,Santa Barbara,USA,93106-5070"}]},{"given":"Anton V.","family":"Proskurnikov","sequence":"additional","affiliation":[{"name":"Politecnico di Torino,Department of Electronics and Telecommunications,Turin,Italy"}]},{"given":"Francesco","family":"Bullo","sequence":"additional","affiliation":[{"name":"University of California,Department of Mechanical Engineering and the Center for Control, Dynamical Systems, and Computation,Santa Barbara,USA,93106-5070"}]}],"member":"263","reference":[{"article-title":"Intriguing properties of neural networks","year":"0","author":"szegedy","key":"ref39"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386309"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2020.3038221"},{"journal-title":"Lipschitz bounded equilibrium networks","year":"2020","author":"revay","key":"ref32"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/72.914530"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-30357-4_3"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-006-0069-9"},{"journal-title":"Large-Scale Systems Stability and Structure","year":"1978","author":"\u0161iljak","key":"ref36"},{"key":"ref35","doi-asserted-by":"crossref","DOI":"10.1017\/9781009160865","author":"ryu","year":"2022","journal-title":"Large-Scale Convex Optimization via Monotone Operators"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000739"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1972.1083507"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2021.10.001"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/72.508941"},{"key":"ref12","article-title":"Safety verification and robustness analysis of neural networks via quadratic constraints and semidefinite programming","author":"fazlyab","year":"2020","journal-title":"IEEE Transactions on Automatic Control"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/81.298364"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/81.401145"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-008-9344-4"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.81.10.3088"},{"key":"ref17","article-title":"Non-Euclidean contraction theory for monotone and positive systems","author":"jafarpour","year":"2021","journal-title":"IEEE Transactions on Automatic Control"},{"key":"ref18","article-title":"Robust implicit networks via non-Euclidean contractions","author":"jafarpour","year":"2021","journal-title":"Advances in neural information processing systems"},{"article-title":"RNNs incrementally evolving on an equilibrium manifold: A panacea for vanishing and exploding gradients?","year":"0","author":"kag","key":"ref19"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3004801"},{"key":"ref4","article-title":"Deep equilibrium models","author":"bai","year":"2019","journal-title":"Advances in neural information processing systems"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(77)90040-4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/81.995665"},{"journal-title":"Lectures on Network Systems","year":"2022","author":"bullo","key":"ref6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.04.021"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/03081087808817203"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.05.001"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/CDC45484.2021.9682883"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2015.2395075"},{"key":"ref9","article-title":"Non-Euclidean contraction theory for robust nonlinear stability","author":"davydov","year":"2021","journal-title":"IEEE Transactions on Automatic Control"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7039986"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/81.269055"},{"journal-title":"Recursive construction of stable assemblies of recurrent neural networks","year":"2021","author":"kozachkov","key":"ref22"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1346-8"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2014.2317880"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00019-3"},{"key":"ref41","first-page":"1017","article-title":"Method of matrix inequalities in theory of nonlinear control systems stability. I. Forced oscillations absolute stability","volume":"25","author":"yakubovich","year":"1964","journal-title":"Avtomatika i Telemekhanika"},{"article-title":"Large associative memory problem in neurobiology and machine learning","year":"0","author":"krotov","key":"ref23"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1162\/NECO_a_00221"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/31.20200"}],"event":{"name":"2022 American Control Conference (ACC)","start":{"date-parts":[[2022,6,8]]},"location":"Atlanta, GA, USA","end":{"date-parts":[[2022,6,10]]}},"container-title":["2022 American Control Conference (ACC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9866948\/9867142\/09867357.pdf?arnumber=9867357","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,3]],"date-time":"2024-10-03T07:21:49Z","timestamp":1727940109000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9867357\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,8]]},"references-count":42,"URL":"https:\/\/doi.org\/10.23919\/acc53348.2022.9867357","relation":{},"subject":[],"published":{"date-parts":[[2022,6,8]]}}}
  NODES
Idea 4
idea 4