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  4. Gen-Oja: A Simple and Efficient Algorithm for Streaming Generalized Eigenvector Computation
 
conference paper

Gen-Oja: A Simple and Efficient Algorithm for Streaming Generalized Eigenvector Computation

Bhatia, Kush
•
Pacchiano, Aldo
•
Flammarion, Nicolas  
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2018
Advances in Neural Information Processing Systems
Neural Information Processing Systems Conference NIPS 2018

In this paper, we study the problems of principal Generalized Eigenvector computation and Canonical Correlation Analysis in the stochastic setting. We propose a simple and efficient algorithm, Gen-Oja, for these problems. We prove the global convergence of our algorithm, borrowing ideas from the theory of fast-mixing Markov chains and two-time-scale stochastic approximation, showing that it achieves the optimal rate of convergence. In the process, we develop tools for understanding stochastic processes with Markovian noise which might be of independent interest.

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Type
conference paper
Author(s)
Bhatia, Kush
Pacchiano, Aldo
Flammarion, Nicolas  
Bartlett, Peter L.
Jordan, Michael I.
Date Issued

2018

Published in
Advances in Neural Information Processing Systems
Volume

31

Written at

OTHER

EPFL units
TML  
Event name
Neural Information Processing Systems Conference NIPS 2018
Available on Infoscience
December 2, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/163519
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