  Simplets, constituting elementary units within simplicial complexes (SCs),
serve as foundational elements for the structural analysis of SCs. Previous
efforts have focused on the exact count or approximation of simplet count
rather than their frequencies, with the latter being more practical in
large-scale SCs. This paper enables simplet frequency analysis of SCs by
introducing the Simplet Frequency Distribution (SFD) vector. In addition, we
present a bound on the sample complexity required for accurately approximating
the SFD vector by any uniform sampling-based algorithm. We also present a
simple algorithm for this purpose and justify the theoretical bounds with
experiments on some random simplicial complexes.
