An Efficient Exact-PGA Algorithm for Constant Curvature Manifolds

时间:2021-05-04 13:54:30
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文件名称:An Efficient Exact-PGA Algorithm for Constant Curvature Manifolds

文件大小:352KB

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更新时间:2021-05-04 13:54:30

PGA

Manifold-valued datasets are widely encountered in many computer vision tasks. A non-linear analog of the PCA algorithm, called the Principal Geodesic Analysis (PGA) algorithm suited for data lying on Riemannian manifolds was reported in literature a decade ago. Since the objective function in the PGA algorithm is highly non-linear and hard to solve efficiently in general, researchers have proposed a linear approximation. Though this linear approximation is easy to compute, it lacks accuracy especially when the data exhibits a large variance


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