In dictionaries:
three dimensionality
Height, width, and depth characteristics.
two dimensionality
Flat plane, length and width.
one dimensionality
third dimensionality
curse of dimensionality
(mathematics, computing) A problem in the analysis of multidimensional systems caused by the sparse nature of the available data.
Dimensionality reduction
Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension.
Nonlinear dimensionality reduction
Nonlinear dimensionality reduction, also known as manifold learning, is any of various related techniques that aim to project high-dimensional data, potentially existing across non-linear manifolds which cannot be adequately captured by linear decomposition methods, onto lower-dimensional latent manifolds, with the goal of either visualizing the data in the low-dimensional space, or learning the mapping (either from the high-dimensional space to the low-dimensional embedding or vice versa) itself.
high dimensionality
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