Fetching the paper…
Reading the bibliography…
In this note, we focus on smooth nonconvex optimization problems that obey: (1) all local minimizers are also global; and (2) around any saddle point or local maximizer, the objective has a negative directional curvature.
Alexander Shapiro,
1982
Earlier work this paper cites.
Jorge J. Moré and Danny C. Sorensen,
1983
Earlier work this paper cites.
Katta G. Murty and Santosh N. Kabadi,
1987
Earlier work this paper cites.
Alexander I. Barvinok,
1995
Earlier work this paper cites.
Alan Frieze, Mark Jerrum, and Ravi Kannan,
1996
Earlier work this paper cites.
Gábor Pataki,
1998
Earlier work this paper cites.
Dimitri P. Bertsekas,
1999
Earlier work this paper cites.
Andrew R. Conn, Nicholas I. M. Gould, and Philippe L. Toint,
2000
Earlier work this paper cites.
Samuel Burer and Renato D.C. Monteiro,
2003
Earlier work this paper cites.
Charles Fortin and Henry Wolkowicz,
2004
Earlier work this paper cites.
Samuel Burer and Renato D. C. Monteiro,
2005
Earlier work this paper cites.
Pierre-Antoine. Absil, Christopher G. Baker, and Kyle A. Gallivan,
2007
Earlier work this paper cites.
Emmanuel J. Candès, Xiaodong Li, and Mahdi Soltanolkotabi,
2007
Earlier work this paper cites.
Pierre-Antoine. Absil, Robert Mahoney, and Rodolphe Sepulchre,
2009
Earlier work this paper cites.
Raghunandan H. Keshavan, Andrea Montanari, and Sewoong Oh,
2010
Earlier work this paper cites.
Simeon Reich and Aleksandr Davidovich Ioffe,
2010
Earlier work this paper cites.
Sanjeev Arora, Rong Ge, Ankur Moitra, and Sushant Sachdeva,
2012
Earlier work this paper cites.
P.-A. Absil and Jérôme Malick,
2012
Earlier work this paper cites.
Alekh Agarwal, Animashree Anandkumar, Prateek Jain, Praneeth Netrapalli, and Rashish Tandon,
2013
Earlier work this paper cites.
Alekh Agarwal, Animashree Anandkumar, and Praneeth Netrapalli,
2013
Cited alongside, same era.
Sanjeev Arora, Rong Ge, and Ankur Moitra,
2013
Cited alongside, same era.
Christopher J. Hillar and Lek-Heng Lim,
2013
Cited alongside, same era.
Prateek Jain, Praneeth Netrapalli, and Sujay Sanghavi,
2013
Cited alongside, same era.
Kiryung Lee, Yihong Wu, and Yoram Bresler,
2013
Cited alongside, same era.
Praneeth Netrapalli, Prateek Jain, and Sujay Sanghavi,
2013
Qing Qu, Ju Sun, and John Wright,
2014
Later among the works it cites.
Hanie Sedghi and Animashree Anandkumar,
2014
Later among the works it cites.
2014
Later among the works it cites.
Sanjeev Arora, Rong Ge, Tengyu Ma, and Ankur Moitra,
2015
Closest in time.
Animashree Anandkumar, Prateek Jain, Yang Shi, and Uma Naresh Niranjan,
2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Xinyang Yi, Constantine Caramanis, and Sujay Sanghavi,
2013
Cited alongside, same era.
Sanjeev Arora, Aditya Bhaskara, Rong Ge, and Tengyu Ma,
2014
Cited alongside, same era.
Animashree Anandkumar, Rong Ge, and Majid Janzamin,
2014
Cited alongside, same era.
Nicolas Boumal, Bamdev Mishra, P.-A. Absil, and Rodolphe Sepulchre,
2014
Cited alongside, same era.
Anna Choromanska, Mikael Henaff, Michael Mathieu, Gérard Ben Arous, and Yann LeCun,
2014
Cited alongside, same era.
Yann N. Dauphin, Razvan Pascanu, Caglar Gulcehre, Kyunghyun Cho, Surya Ganguli, and Yoshua Bengio,
2014
Cited alongside, same era.
2015
Closest in time.
Yudong Chen and Martin J. Wainwright,
2015
Closest in time.
Rong Ge, Furong Huang, Chi Jin, and Yang Yuan,
2015
Closest in time.
Prateek Jain, Chi Jin, Sham M. Kakade, and Praneeth Netrapalli,
2015
Closest in time.
Yoav Shechtman, Yonina C. Eldar, Oren Cohen, Henry N. Chapman, Jianwei Miao, and Mordechai Segev,
2015
Closest in time.
Ju Sun, Qing Qu, and John Wright,
2015
Closest in time.
Stephen Tu, Ross Boczar, Mahdi Soltanolkotabi, and Benjamin Recht,
2015
Closest in time.
Chris D. White, Rachel Ward, and Sujay Sanghavi,
2015
Closest in time.
Qinqing Zheng and John Lafferty,
2015
Closest in time.
2016
Closest in time.
Afonso S Bandeira, Nicolas Boumal, and Vladislav Voroninski,
2016
Closest in time.
2016
Closest in time.
Jason D Lee, Max Simchowitz, Michael I Jordan, and Benjamin Recht,
2016
Closest in time.
2016
Closest in time.