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The graduated optimization approach, also known as the continuation method, is a popular heuristic to solving non-convex problems that has received renewed interest over the last decade.
Visual reconstruction , volume 2
A. Blake and A. Zisserman · 1987
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The computation of visible-surface representations
D. Terzopoulos · 1988
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Energy functions for early vision and analog networks
A. Yuille · 1989
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Numerical continuation methods , volume 13
E. L. Allgower and K. Georg · 1990
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Stereo integration, mean field theory and psychophysics
A. L. Yuille, D. Geiger, and H. Bülthoff · 1990
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The effective energy transformation scheme as a special continuation approach to global optimization with application to molecular conformation
Z. Wu · 1996
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A gnc algorithm for deblurring images with interacting discontinuities
A. Boccuto, M. Discepoli, I. Gerace, R. Pandolfi, and P. Pucci · 2002
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Online convex optimization in the bandit setting: gradient descent without a gradient
A. Flaxman, A. T. Kalai, and H. B. McMahan · 2005
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A continuation method for semi-supervised svms
O. Chapelle, M. Chi, and A. Zien · 2006
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A fast learning algorithm for deep belief nets
G. Hinton, S. Osindero, and Y.-W. Teh · 2006
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Learning deep architectures for ai
Y. Bengio · 2009
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The difficulty of training deep architectures and the effect of unsupervised pre-training
D. Erhan, P.-A. Manzagol, Y. Bengio, S. Bengio, and P. Vincent · 2009
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A path following algorithm for the graph matching problem
M. Zaslavskiy, F. Bach, and J.-P. Vert · 2009
Gradient descent optimization of smoothed information retrieval metrics
O. Chapelle and M. Wu · 2010
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Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction
M. Nikolova, M. K. Ng, and C.-P. Tam · 2010
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Large displacement optical flow: descriptor matching in variational motion estimation
T. Brox and J. Malik · 2011
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Smoothing a program soundly and robustly
S. Chaudhuri and A. Solar-Lezama · 2011
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Making gradient descent optimal for strongly convex stochastic optimization
A. Rakhlin, O. Shamir, and K. Sridharan · 2011
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Identifying and attacking the saddle point problem in high-dimensional non-convex optimization
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Cited alongside, same era.
On the link between gaussian homotopy continuation and convex envelopes
H. Mobahi and J. W. Fisher III
Cited in the paper.
A theoretical analysis of optimization by gaussian continuation
H. Mobahi and J. W. Fisher III
Cited in the paper.
Y. N. Dauphin, R. Pascanu, C. Gulcehre, K. Cho, S. Ganguli, and Y. Bengio · 2014
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