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On The Convergence of Gradient Descent for Finding the Riemannian Center of Mass

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, no. 3 (2013): 2230-2260

Cited: 72|Views28
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Abstract

We study the problem of finding the global Riemannian center of mass of a set of data points on a Riemannian manifold. Specifically, we investigate the convergence of constant step-size gradient descent algorithms for solving this problem. The challenge is that often the underlying cost function is neither globally differentiable nor conv...More

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