46 citations · 50 across the 2 of their papers we have counts for
2 papers
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…
cs.NE2006★ 46 cited
Topological Grammars for Data Approximation
A. N. Gorban, N. R. Sumner, A. Y. Zinovyev
A method of {\it topological grammars} is proposed for multidimensional data approximation. For data with complex topology we define a {\it principal cubic complex} of low dimensio…