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Intrinsic dimension

The intrinsic dimension for a data set can be thought of as the number of variables needed in a minimal representation of the data. Similarly, in signal processing of multidimensional signals, the intrinsic dimension of the signal describes how... Wikipedia
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Sep 22, 2017 · In this work we address the problem of finding the minimal number of variables needed to describe the relevant features of a dataset; this ...
Dec 29, 2020 · The intrinsic dimensionality of a space is the number of required pieces of information for representing each object. In the piece of paper ...
Nov 4, 2020 · An intuitively satisfactory way to define dimensionality is to compute the infimum of the variety, V, that can be associated with all the object ...
Nov 26, 2019 · The intrinsic dimensionality of a phenomenon (and also of the data retrieved from it) is defined as the real number of dimensions in which the ...
The notion of intrinsic dimension (ID) intuitively refers to the minimal number of features needed to represent a dataset with little information loss. .
Here we study the intrinsic dimensionality (ID) of data representations, i.e. the minimal number of parameters needed to describe a representation. We find ...
Sep 25, 2018 · Intrinsic dimension is entirely dependent upon the objective landscape and is thus a fundamental property of the dataset only, in theory. This ...
The intrinsic dimension is the number of PCA features that have significant variance. In our example, only the first two PCA features have significant variance.
Oct 5, 2020 · In this work, we developed an algorithm (Hidalgo) to find manifolds of different IDs in the data.