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38

TIT
2002

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Principal curves with bounded turn

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Principal curves with bounded turn

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Principal curves, like principal components, are a tool used in multivariate analysis for ends like feature extraction. Defined in their original form, principal curves need not exist for general distributions. The existence of principal curves with bounded length for any distribution that satisfies some minimal regularity conditions has been shown. We define principal curves with bounded turn, show that they exist, and present a learning algorithm for them. Principal components are a special case of such curves when the turn is zero.

S. Sandilya, Sanjeev R. Kulkarni

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Minimal Regularity Conditions | Principal Components | Principal Curves | TIT 2002 |

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Added	23 Dec 2010
Updated	23 Dec 2010
Type	Journal
Year	2002
Where	TIT
Authors	S. Sandilya, Sanjeev R. Kulkarni

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