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キーワード:
-
要旨:
Fitting a curve of a certain type to a given set of points in the plane is a
basic problem in statistics and has numerous applications. We consider fitting
a polyline with k joints under the min-sum criteria with respect to L1- and L2
-metrics, which are more appropriate measures than uniform and Hausdorff
metrics in statistical context. We present efficient algorithms for the 1-joint
versions of the problem and fully polynomial-time approximation schemes for the
general k-joint versions.
