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Geodesic Regression
A generalization of regression in Euclidean space to Riemannian Manifolds. The articles also discusses some basic concepts of Riemannian Geometry before going on to formulate a regression problem in such manifolds.
Published in TowardsDataScience
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Principal Geodesic Analysis
Explanation on how to obtain principal geodesics for data lying in a general Riemannian Manifold. This can be seen as a dimensionality reduction technique for manifold-valued data, analogous to Principal Component Analysis (PCA) in Euclidean space.
Published in TowardsDataScience
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A soft Intro to General Relativity
The article provides an insight on the fundamentals of Einstein's Theory of General Relativity by explaining the basic phenomenons of gravity from a relativistic perspective.