]>

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

Figure 3: Reduced space computed by (a) PCA, (b) Isomap, (c) ${𝒮}_{\text{P}}$, (d) ${𝒮}_{\text{SAM}}$, (e) ${𝒮}_{\text{CCA}}$, (f) locally linear embedding, (g) Laplacian eigenmap, (h) Hessian eigenmap, and (i) diffusion maps for the noisy SCurve (Gaussian noise, $5\%$ variance).