Geographic big data space latent mode analysis method based on topology analysis
A technology of topology analysis and pattern analysis, applied in the field of surveying and mapping, can solve problems such as ignoring the topological structure of high-dimensional data
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[0063] The present invention will be further described below in conjunction with the accompanying drawings, but the present invention is not limited in any way. Any transformation or replacement based on the teaching of the present invention belongs to the protection scope of the present invention.
[0064] Topology relies on three key ideas that make it meaningful to extract patterns by shapes. Topology is based on metric spaces, which are sets that have a notion of distance between any pair of points. The first key idea is that topology studies shapes in a coordinate-free manner. This means that the extracted topology does not depend on the chosen coordinate system, but only on the distance function of the specified shape. This approach thus enables topology to compare properties of data from different coordinate systems.
[0065] The second key idea is that topology studies patterns that are invariant under small deformations. Mathematically, invariance means that a circ...
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