{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T15:15:22Z","timestamp":1730301322875,"version":"3.28.0"},"reference-count":62,"publisher":"IEEE","license":[{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"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":[[2020,7]]},"DOI":"10.1109\/tsp49548.2020.9163528","type":"proceedings-article","created":{"date-parts":[[2020,8,11]],"date-time":"2020-08-11T22:52:41Z","timestamp":1597186361000},"page":"105-111","source":"Crossref","is-referenced-by-count":1,"title":["Wireless Channels Topology Invariant as Mathematical Foundation of Neural Network Channel Estimation Transfer Learning Properties"],"prefix":"10.1109","author":[{"given":"Vasiliy","family":"Usatyuk","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18421-5_4"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2018.07.001"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-36104-3"},{"key":"ref32","first-page":"273","article-title":"Homological Algebra and Data","volume":"25","author":"ghrist","year":"2017","journal-title":"The Mathematics of Data IAS\/Park City Mathematics"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2017.2662206"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9586-7_3"},{"journal-title":"Wireless channel Topology und DNN channel Estimation","year":"0","author":"usatyuk","key":"ref37"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2010.03.007"},{"key":"ref35","article-title":"Topological estimation using witness complexes","author":"silva","year":"2004","journal-title":"Eurographics Symposium on Point-Based Graphics"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2187518"},{"key":"ref60","first-page":"492","article-title":"Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals","author":"arnold","year":"2012","journal-title":"Modem Birkhauser Classicsm"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-019-00890-3"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02267-2"},{"key":"ref28","first-page":"1","author":"aschieri","year":"2008","journal-title":"Three lectures on electric-magnetic duality"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2016.90"},{"key":"ref29","first-page":"21","article-title":"Discrete groups of motions of Nonpositive Curvature Manifolds","author":"margulis","year":"1974","journal-title":"International Congress of Mathematicians"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"18 914","DOI":"10.1073\/pnas.0909892106","article-title":"Message-passing algorithms for compressed sensing","volume":"106","author":"donoho","year":"2009","journal-title":"Proceedings of the National Academy of Sciences"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2012.6489188"},{"key":"ref20","first-page":"442","article-title":"Tensorizing neural networks","author":"novikov","year":"2015","journal-title":"Adv in Neural Info Proc Syst"},{"key":"ref22","article-title":"Lectures on the Langlands Program and Conformal Field Theory Les Houches School","author":"frenkel","year":"2003","journal-title":"Number Theory and Physics"},{"key":"ref21","first-page":"2498","author":"molchanov","year":"2017","journal-title":"Variational dropout sparsifies deep neural networks ICML’17 V 70"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2866577"},{"key":"ref23","first-page":"281","author":"bernstein","year":"2004","journal-title":"An Introduction to the Langlands Program Birkh¨auser Boston"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2217312"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1109\/18.910573","article-title":"Codes on graphs: normal realizations","volume":"47","author":"forney","year":"2001","journal-title":"IEEE Transactions on Information Theory"},{"journal-title":"Dying relu and initialization Theory and numerical examples","year":"0","author":"lu","key":"ref50"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2017.2672978"},{"key":"ref59","first-page":"1455","article-title":"a Matlab Toolbox for Optimization on Manifolds,| Journal of Machine Learning Research","volume":"15","author":"boumal","year":"2014"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.2009580"},{"key":"ref57","article-title":"The Dynamical System Scaling Methodology. Intern","author":"reyes","year":"2015","journal-title":"Eighth International Topical Meeting on Nuclear Reactor Thermal-hydraulics"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2512596"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2014.2316836"},{"key":"ref54","article-title":"Hyperbolic Graph Convolutional Neural Networks","author":"chami","year":"2019","journal-title":"Neural Inform Proc Systems (NeurIPS)"},{"key":"ref53","article-title":"Learning mixed-curvature representations in product spaces","author":"gu","year":"2019","journal-title":"Proc Int Conf Learn Represent"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-2011-01329-5"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2019.2898944"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/LWC.2018.2832128"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-40020-9_37"},{"key":"ref12","first-page":"1770","article-title":"Learned D-AMP: principled neural network based compressive image recovery","author":"metzler","year":"2017","journal-title":"31st Intern Conf on Neural Inform Proc Systems"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2020.107479"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/CAMSAP.2017.8313186"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2012.6288476"},{"key":"ref16","article-title":"Era of Big Data Processing: A New Approach via Tensor Networks and Tensor Decompositions","author":"cichocki","year":"2013","journal-title":"Conf Intern Workshop on Smart Info-Media Systems in Asia (invited talk)"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iay009"},{"journal-title":"From probabilistic graphical models to generalized tensor networks for supervised learning","year":"2019","author":"glasser","key":"ref18"},{"journal-title":"Oseledets I Reduced-Order Modeling of Deep Neural Networks","year":"0","author":"daulbaev","key":"ref19"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2027773"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2025528"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2014.7094595"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2295063"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2019.2904405"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006797"},{"key":"ref49","first-page":"288","article-title":"Theoretic-Numerical Methods in Approximate Analysis","author":"korobov","year":"2004","journal-title":"MTsNMO"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2556683"},{"key":"ref46","first-page":"6572","article-title":"Neural Ordinary Differential Equations","author":"ricky","year":"0","journal-title":"Proc of the 32nd Inter Conf on Neural Inform Proc Systems"},{"key":"ref45","first-page":"4959","article-title":"Stochastic models for shortterm multipath fading channels: chi-square and Ornstein-Uhlenbeck processes","volume":"5","author":"charalambous","year":"1999","journal-title":"IEEE Conf on Dec and Control"},{"key":"ref48","first-page":"211","article-title":"Extremal problems of the theory of positive quadratic forms","volume":"112","author":"delone","year":"0","journal-title":"Proc Steklov Inst Math"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BF02128669"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/18.978730"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.817466"},{"key":"ref44","first-page":"4947","article-title":"Stochastic models for longterm multipath fading channels and their statistical properties","volume":"5","author":"charalambous","year":"1999","journal-title":"IEEE Conference on Decision and Control"},{"journal-title":"Grassmannian Learning Embedding Geometry Awareness in Shallow and Deep Learning","year":"2018","author":"zhang","key":"ref43"}],"event":{"name":"2020 43rd International Conference on Telecommunications and Signal Processing (TSP)","start":{"date-parts":[[2020,7,7]]},"location":"Milan, Italy","end":{"date-parts":[[2020,7,9]]}},"container-title":["2020 43rd International Conference on Telecommunications and Signal Processing (TSP)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9158468\/9163396\/09163528.pdf?arnumber=9163528","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T15:18:21Z","timestamp":1656602301000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9163528\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7]]},"references-count":62,"URL":"https:\/\/doi.org\/10.1109\/tsp49548.2020.9163528","relation":{},"subject":[],"published":{"date-parts":[[2020,7]]}}}