  Quantum many-body scarred systems contain both thermal and non-thermal scar
eigenstates in their spectra. When these systems are quenched from special
initial states which share high overlap with scar eigenstates, the system
undergoes dynamics with atypically slow relaxation and periodic revival. This
scarring phenomenon poses a potential avenue for circumventing decoherence in
various quantum engineering applications. Given access to an unknown scar
system, current approaches for identification of special states leading to
non-thermal dynamics rely on costly measures such as entanglement entropy. In
this work, we show how two dimensionality reduction techniques,
multidimensional scaling and intrinsic dimension estimation, can be used to
learn structural properties of dynamics in the PXP model and distinguish
between thermal and scar initial states. The latter method is shown to be
robust against limited sample sizes and experimental measurement errors.
