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Stochastic Gradient Descent on Riemannian Manifolds [PDF]

open access: yesIEEE Transactions on Automatic Control, 2013
Stochastic gradient descent is a simple approach to find the local minima of a cost function whose evaluations are corrupted by noise. In this paper, we develop a procedure extending stochastic gradient descent algorithms to the case where the function is defined on a Riemannian manifold.
Silvere Bonnabel
exaly   +3 more sources

Stochastic Gradient Descent in Continuous Time [PDF]

open access: yesSIAM Journal on Financial Mathematics, 2017
Stochastic gradient descent in continuous time (SGDCT) provides a computationally efficient method for the statistical learning of continuous-time models, which are widely used in science, engineering, and finance. The SGDCT algorithm follows a (noisy) descent direction along a continuous stream of data.
Konstantinos Spiliopoulos
exaly   +3 more sources

A stochastic multiple gradient descent algorithm [PDF]

open access: yesEuropean Journal of Operational Research, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabrice Poirion   +2 more
exaly   +4 more sources
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Backpropagation and stochastic gradient descent method

Neurocomputing, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shun-Ichi Amari
exaly   +3 more sources

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