Classifier Instance:

Anchor text: Riemannian manifold
Target Entity: Riemannian_manifold
Preceding Context: In modern mathematics, Euclidean spaces form the prototypes for other, more complicated geometric objects. For example, a smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space. Diffeomorphism does not respect distance and angle, so these key concepts of Euclidean geometry are lost on a smooth manifold. However, if one additionally prescribes a smoothly varying inner product on the manifold's tangent spaces, then the result is what is called a
Succeeding Context: . Put differently, a Riemannian manifold is a space constructed by deforming and patching together Euclidean spaces. Such a space enjoys notions of distance and angle, but they behave in a curved, non-Euclidean manner. The simplest Riemannian manifold, consisting of R n with a constant inner product, is essentially identical to Euclidean n-space itself.
Paragraph Title: Generalizations
Source Page: Euclidean space

Ground Truth Types:

Predicted Types:

Type	Confidence	Decision
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wordnet_person_100007846	-2.0750517598274087	0
yagoGeoEntity	0.7567526645699689	1
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wordnet_structure_104341686	1.2003179759386737	1
wordnet_building_102913152	-1.8672857600425723	0
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