Fig. 6
From: Multi-sample \(\zeta \)-mixup: richer, more realistic synthetic samples from a p-series interpolant
Visualizing how \(\zeta \)-mixup  affects the local intrinsic dimensionality of synthesized datasets distributed as 1D helices (a, b) and 3D manifold (c) in a higher dimensional embedding space as the hyperparameter \(\gamma \) changes. The mean and the standard deviation of the intrinsic dimensionality are shown using lines (bold or dashed-dotted) and shaded bands respectively. The vertical dotted line in all the plots denotes the value of \(\gamma =\gamma _{\textrm{min}}\) (Theorem 1)