Holds the information about how the sigma parameter for a DiffusionMap was obtained,
and in this way provides a plotting function for the find_sigmas heuristic.
You should not need to create a Sigmas object yourself. Provide sigma to DiffusionMap instead or use find_sigmas.
Sigmas creates an object of the same class optimal_sigma retrieves the numeric value of the optimal sigma or local sigmas
Slots
log_sigmas
Vector of length \(m\) containing the \(\log_{10}\) of the \(\sigma\)s
dim_norms
Vector of length \(m-1\) containing the average dimensionality \(\langle p \rangle\) for the respective kernel widths
optimal_sigma
Multiple local sigmas or the mean of the two global \(\sigma\)s around the highest \(\langle p \rangle\) (c(optimal_idx, optimal_idx+1L))
optimal_idx
The index of the highest \(\langle p \rangle\).
avrd_norms
Vector of length \(m\) containing the average dimensionality for the corresponding sigma.
Details
A Sigmas object is either created by find_sigmas or by specifying the sigma parameter to DiffusionMap. In the second case, if the sigma parameter is just a number,
the resulting Sigmas object has all slots except of optimal_sigma set to NULL.
See Also
find_sigmas, the function to determine a locally optimal sigma and returning this class