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Closest univariate convex linear-quadratic function approximation with minimal number of Pieces

Kundu, Namrata et al.
arXiv (All) · Papers
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computational-geometryoptimization-and-control
We compute the closest convex piecewise linear-quadratic (PLQ) function with minimal number of pieces to a given univariate piecewise linear-quadratic function. The Euclidean norm is used to measure the distance between functions. First, we assume that the number and positions of the breakpoints of
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