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Locally Defined Principal Curves and Surfaces

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Figure

Figure 1: An illustration of the principal curve on a two Gaussian mixtures.
Figure 2: A T-shaped Gaussian mixture
Figure 3: Curves buried in noise (left) and finite bandwidth (middle) and variable bandwidth (right)KDE
Figure 4: Mean projection error vs. overfitting tradeoff as a kernel bandwidth selection problem.Three density estimates are presented—a narrow bandwidth (left) Maximum Likelihoodkernel bandwidth (middle) and a wide kernel bandwidth (right)
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