157 citations · 383 across the 17 of their papers we have counts for
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physics.data-an2007★ 4 cited
PCA Beyond The Concept of Manifolds: Principal Trees, Metro Maps, and Elastic Cubic Complexes
A. N. Gorban, N. R. Sumner, A. Y. Zinovyev
Multidimensional data distributions can have complex topologies and variable local dimensions. To approximate complex data, we propose a new type of low-dimensional ``principal obj…
physics.data-an2007★ 14 cited
Elastic Maps and Nets for Approximating Principal Manifolds and Their Application to Microarray Data Visualization
A. N. Gorban, A. Y. Zinovyev
Principal manifolds are defined as lines or surfaces passing through ``the middle'' of data distribution. Linear principal manifolds (Principal Components Analysis) are routinely u…