generalized_ratios_distribution

dgera

rgera

Density function and random number generator for the Generalized Ratio
distribution with NN orders equal to <code>n1</code> and <code>n2</code>.
See <a href="https://www.nature.com/articles/s41598-022-20991-1">Denti et al., 2022</a>
for more details.

Provides functions to estimate the intrinsic dimension of a dataset
via likelihood-based approaches. Specifically, the package implements the
'TWO-NN' and 'Gride' estimators and the 'Hidalgo' Bayesian mixture model.
In addition, the first reference contains an extended vignette on the usage of
the 'TWO-NN' and 'Hidalgo' models. References:
Denti (2023, <doi:10.18637/jss.v106.i09>);
Allegra et al. (2020, <doi:10.1038/s41598-020-72222-0>);
Denti et al. (2022, <doi:10.1038/s41598-022-20991-1>);
Facco et al. (2017, <doi:10.1038/s41598-017-11873-y>);
Santos-Fernandez et al. (2021, <doi:10.1038/s41598-022-20991-1>).

Francesco Denti

intRinsic

Likelihood-Based Intrinsic Dimension Estimators

Andrea Gilardi

generalized_ratios_distribution function

<dl><dt>nsim</dt>
<dd>integer, the number of observations to generate.</dd>
<dt>n1</dt>
<dd>order of the first NN considered. Default is 1.</dd>
<dt>n2</dt>
<dd>order of the second NN considered. Default is 2.</dd>
<dt>d</dt>
<dd>value of the intrinsic dimension.</dd>
<dt>x</dt>
<dd>vector of quantiles.</dd>
<dt>log</dt>
<dd>logical, if <code>TRUE</code>, it returns the log-density</dd></dl>

Arguments

Density function and random number generator for the Generalized Ratio
distribution with NN orders equal to <code>n1</code> and <code>n2</code>.
See <a href='https://www.nature.com/articles/s41598-022-20991-1'>Denti et al., 2022</a>
for more details.

The Generalized Ratio distribution — generalized_ratios_distribution

<dl>

<dt>nsim</dt>
<dd>integer, the number of observations to generate.</dd>


<dt>n1</dt>
<dd>order of the first NN considered. Default is 1.</dd>


<dt>n2</dt>
<dd>order of the second NN considered. Default is 2.</dd>


<dt>d</dt>
<dd>value of the intrinsic dimension.</dd>


<dt>x</dt>
<dd>vector of quantiles.</dd>


<dt>log</dt>
<dd>logical, if <code>TRUE</code>, it returns the log-density</dd>

</dl>

generalized_ratios_distribution: The Generalized Ratio distribution

Description

Usage

Value

Arguments

References

Examples