@InProceedings{panageas_et_al:LIPIcs.ITCS.2017.2,
author = {Panageas, Ioannis and Piliouras, Georgios},
title = {{Gradient Descent Only Converges to Minimizers: Non-Isolated Critical Points and Invariant Regions}},
booktitle = {8th Innovations in Theoretical Computer Science Conference (ITCS 2017)},
pages = {2:1--2:12},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-029-3},
ISSN = {1868-8969},
year = {2017},
volume = {67},
editor = {Papadimitriou, Christos H.},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2017.2},
URN = {urn:nbn:de:0030-drops-81640},
doi = {10.4230/LIPIcs.ITCS.2017.2},
annote = {Keywords: Gradient Descent, Center-stable manifold, Saddle points, Hessian}
}